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Mental models: 13 thinking tools to boost your problem-solving skills

Imagine you've gone out to dinner with friends. You’ve just sat down at your favorite table at your favorite restaurant, looking forward to the evening ahead.

The waiter brings over your menus and tells you about the specials. It sounds like one of the dishes is really good — you've always wanted to try it, and the way they've described it sounds amazing.

You're mulling it over in your mind while the others order, and then it's your turn — and you just ask for the same meal you always get.

Sound familiar?

Whether it’s your favorite meal or the perfectly worn-in pair of jeans in your closet, this tendency to fall back on what we know rather than risk something unknown is the result of a common thinking tool called a mental model.

Mental models, like the status quo bias in the scenario above, represent how we perceive something to operate in the world based on what we have learned in our lives. We all use them to help us understand complex situations and predict what will happen. If leveraged well, they can be powerful thinking tools.

This article will explore the concept of mental models as thinking tools and uncover 13 mental models you can add to your toolkit of thinking skills.

Mental models as thinking tools

Most of the time, we're not as thoughtful as we think. While many of us consider ourselves capable of critical thinking, researchers say we tend to make snap judgments without using our knowledge.

For example, let’s try an exercise. Take a look at this image:

Did you immediately react based on what you think is about to happen?

Although there isn’t a picture showing what takes place next, most of us made a guess using a tool we weren't even aware of — a mental model. Through our mental model, we could predict a possible outcome (which hopefully didn’t involve any scratches or falls).

Many of our snap judgments and reactions — whether about a photo we see or a problem we encounter — are shaped by the mental models we use to view the world. We begin to develop mental models as soon as we are born and continue to develop them throughout our lives, using them as a thinking tool to make sense of life, solve problems, and make decisions.

We all start out with different sets of mental models — after all, we all have different experiences that shape our early lives. As we gain experiences and knowledge, we add more models to our toolkit and learn to see things in new ways.

Sometimes our mental models work against us. If we limit our thinking to only a few mental models, we can suffer from critical thinking barriers . However, when we actively pursue thoughtful learning and collect many mental models, they can be extremely valuable tools for critical and creative thinking.

Munger's Latticework of Mental Models

Mental models as thinking tools were first made popular by Charlie Munger in his 1995 " The Psychology of Human Misjudgment " speech at Harvard University. Entrepreneurs and thinkers have since embraced mental models to achieve success.

According to Munger's Latticework of Mental Models theory, we can use various thinking tools to see problems from several points of view. Combining mental models increases original thinking, creativity, and problem-solving skills instead of relying on one frame of reference.

As Munger said , "All the wisdom of the world is not to be found in one little academic department ... 80 or 90 important models will carry about 90 percent of the freight in making you a worldly-wise person. And, of those, only a mere handful really carry very heavy freight."

This is why we need to keep learning — to expand our toolbox. The more mental models we have in our toolkit, the easier it is to find one that works for the situation.

A well-stocked toolbox is more effective at solving a problem than a single nail.

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13 valuable tools for your thinking skills toolkit

There are hundreds of mental models and thinking tools available, which can be overwhelming. Most of us are familiar with concepts like the Eisenhower Matrix and brainstorming. However, we can use many other mental models for creative and critical thinking. Here are 13 thinking tools to boost decision-making, problem-solving, and creative thinking skills.

1. First Principles

First principle thinking is a mental model that can be used for problem-solving by breaking things down to the most basic level. This thinking tool is based on the idea that all complex problems can be reduced to more specific, fundamental parts. Using first-principles thinking, you identify the underlying causes of a problem and then find the best solutions that address those root causes.

For instance, it would be impossible to pack up your entire house at once if you were moving. To pack efficiently and safely, you’d need to go room by room, tackling one room at a time.

2. Inversion

Inversion is a technique used to generate ideas of creative solutions to problems by imagining the opposite of them. Inversion is higher-order thinking that requires thinking about the solution you don't want. With inverted thinking, you consider how something might fail and then try to avoid those mistakes. This approach differs from "working backward," another way of doing things that encourages you to begin with the desired end solution in mind.

3. Occam's Razor

Occam's Razor is a mental model that can simplify complex problems and situations by determining which explanation is most likely. This thinking tool is based on the principle that the simplest answer is usually correct. When using Occam's Razor, you should look for the most obvious, straightforward reasoning that fits all facts.

4. Bloom's Taxonomy

Bloom's Taxonomy is a mental model used for categorizing the knowledge levels of learners. The cognitive, affective, and psychomotor learning domains are grouped into three hierarchical levels, with each level encompassing the previous one. In a hierarchical structure, areas of knowledge begin with simple skills and progress to higher-order thinking.

The six levels of Bloom's Taxonomy are:

• Knowledge: Recalling or recognizing facts and information
• Comprehension: Understanding the meaning of information
• Application: Using information in new ways
• Analysis: Breaking down information into smaller parts
• Synthesis: Putting pieces of information together to form a new whole
• Evaluation: Making judgments about the value of information

By applying the actions from each level of this tool, we can analyze situations from different angles and find more comprehensive solutions.

5. Incentives

Incentives are a model that can be used to encourage desired behavior. Based on a cause and effect concept, people will be more likely to act if they are given an incentive to do so. The incentives can be monetary, such as a bonus or commission, or non-monetary, such as recognition or privileges.

6. Fundamental Attribution Error

The fundamental attribution error is characterized by the tendency to focus too much on personal characteristics and not enough on circumstances when judging others. This mental model believes that people's actions reflect who they are without considering their point of view. This can lead to misunderstanding and conflict.

For example, it's easy to get angry and lash out at someone who cuts you off in traffic without considering that maybe they are rushing to the hospital for an emergency. Keeping this model in mind can help us avoid over-simplifying behavior.

7. Law of Diminishing Returns

The Law of Diminishing Returns provides a way to determine when it’s no longer efficient to continue investing in something. This thinking tool is based on the idea that there’s a point at which additional investment in something will result in diminishing returns.

The law of diminishing returns is often used in higher-level business decisions to determine when to stop investing in a project, but it’s also used in other forms of decision-making. Research has found that decision-makers tend to use a "matching" strategy in which they make their choice based on the relative value each option has.

8. Redundancy

The redundancy theory suggests that learners retain less new knowledge if the same information is presented in multiple ways or if it’s unnecessarily elaborate. Studies have shown that using several sources to relay information, such as text, visuals, and audio can create a lack of focus and less learning. Integrating the redundancy model can help teachers and leaders make learning more efficient.

9. Hanlon's Razor

Hanlon's Razor is a mental model that suggests most mistakes are not made maliciously. The purpose of this tool is to remind us not to assume the worst in the actions of others. Hanlon's Razor can help us see the situation from another's point of view and have more empathy, therefore avoiding making wrong assumptions.

For example, friends who aren't answering their mobile phones most likely aren't mad at you. Maybe they're just busy, or perhaps there are various other reasons to explain their delay.

10. Common Knowledge

We usually think of common knowledge as universal facts most people understand. However, the mental model of common knowledge is a little different. Used as a thinking tool, it focuses on pooling together the knowledge we don't share and taking into account the wisdom of others to help us make better decisions. Brainstorming, creating concept maps, and integrating feedback are useful tools we can use to share common knowledge.

11. Survivorship Bias

Survivorship bias refers to the tendency to focus on successful people, businesses, and strategies while overlooking failed ones.

For example, the idea that all 21st-century Hollywood stars got there through hard work may underestimate the amount of networking used to achieve fame. The idea dismisses the millions of other actors who worked just as hard but didn't have the same connections.

This thinking process can lead to decision-making errors because it causes people to overestimate their chances of success. However, when used to frame thinking, understanding the survivorship bias can help us consider other points of view and avoid making incorrect decisions.

12. The Ladder of Inference

The Ladder of Inference is a mental model that helps explain why we make judgments quickly and unconsciously. The ladder illustrates the rapid steps our minds go through to make decisions and take action in any given situation. The seven steps are:

• Observations: The data or information that we carry in through our senses
• Selected Data: The process of our brain choosing which information is important and which to ignore
• Meanings: Making interpretations and judgments based on our experiences, beliefs, and values
• Assumptions: The views or beliefs that we hold that help us interpret the facts
• Conclusions: The decision or opinion that we form based on our assumptions
• Beliefs: The convictions that we have about ourselves and the world around us
• Actions: The way we act or respond based on our thoughts

Using the Ladder of Inference as a thinking tool can help us avoid rash judgments based on assumptions and ensure sound thinking.

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13. 80/20 Rule

The 80/20 Rule is a thinking tool that we can use to understand the relationship between inputs and outputs. This model is based on the idea that 80% of the results come from 20% of the effort. The 80/20 rule can be used to decide how to allocate resources.

Thinking tools are essential for a learner's toolkit

Every lifelong learner should have a toolbox of thinking tools. Mental models are helpful thinking tools that can enhance the creative and critical thinking processes. By having more tools at your disposal, you can approach any situation from various angles, increasing the probability of finding a successful solution.

Remember — building your thinking toolkit is an ongoing process. Keep learning, and you'll soon find that you're making better decisions consistently and solving problems more quickly.

I hope you have enjoyed reading this article. Feel free to share, recommend and connect 🙏

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Erin E. Rupp

Read more posts by this author

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How to Improve Problem Solving Skills

Last Updated: January 27, 2024 Fact Checked

This article was co-authored by Erin Conlon, PCC, JD . Erin Conlon is an Executive Life Coach, the Founder of Erin Conlon Coaching, and the host of the podcast "This is Not Advice." She specializes in aiding leaders and executives to thrive in their career and personal lives. In addition to her private coaching practice, she teaches and trains coaches and develops and revises training materials to be more diverse, equitable, and inclusive. She holds a BA in Communications and History and a JD from The University of Michigan. Erin is a Professional Certified Coach with The International Coaching Federation. There are 13 references cited in this article, which can be found at the bottom of the page. This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. This article has been viewed 235,381 times.

The ability to solve problems applies to more than just mathematics homework. Analytical thinking and problem-solving skills are a part of many jobs, ranging from accounting and computer programming to detective work and even creative occupations like art, acting, and writing. While individual problems vary, there are certain general approaches to problem-solving like the one first proposed by mathematician George Polya in 1945. [1] X Research source By following his principles of understanding the problem, devising a plan, carrying out the plan, and looking back, you can improve your problem-solving and tackle any issue systematically.

Define the problem clearly.

• Try to formulate questions. Say that as a student you have very little money and want to find an effective solution. What is at issue? Is it one of income – are you not making enough money? Is it one of over-spending? Or perhaps you have run into unexpected expenses or your financial situation has changed?

State your objective.

• Say that your problem is still money. What is your goal? Perhaps you never have enough to go out on the weekend and have fun at the movies or a club. You decide that your goal is to have more spending cash. Good! With a clear goal, you have better defined the problem.

Gather information systematically.

• To solve your money shortage, for example, you would want to get as detailed a picture of your financial situation as possible. Collect data through your latest bank statements and to talk to a bank teller. Track your earnings and spending habits in a notebook, and then create a spreadsheet or chart to show your income alongside your expenditures.

Analyze information.

• Say you have now collected all your bank statements. Look at them. When, how, and from where is your money coming? Where, when, and how are you spending it? What is the overall pattern of your finances? Do you have a net surplus or deficit? Are there any unexplained items?

Generate possible solutions.

• Your problem is a lack of money. Your goal is to have more spending cash. What are your options? Without evaluating them, come up with possible options. Perhaps you can acquire more money by getting a part-time job or by taking out a student loan. On the other hand, you might try to save by cutting your spending or by lowering other costs.
• Divide and conquer. Break the problem into smaller problems and brainstorm solutions for them separately, one by one.
• Use analogies and similarities. Try to find a resemblance with a previously solved or common problem. If you can find commonalities between your situation and one you've dealt with before, you may be able to adapt some of the solutions for use now.

Evaluate the solutions and choose.

• How can you raise money? Look at expenditures – you aren’t spending much outside of basic needs like tuition, food, and housing. Can you cut costs in other ways like finding a roommate to split rent? Can you afford to take a student loan just to have fun on the weekend? Can you spare time from your studies to work part-time?
• Each solution will produce its own set of circumstances that need evaluation. Run projections. Your money problem will require you to draw up budgets. But it will also take personal consideration. For example, can you cut back on basic things like food or housing? Are you willing to prioritize money over school or to take on debt?

Implement a solution.

• You decide to cut costs, because you were unwilling to take on debt, to divert time away from school, or to live with a roommate. You draw up a detailed budget, cutting a few dollars here and there, and commit to a month-long trial.

Review and evaluate the outcome.

• The results of your trial are mixed. On one hand, you have saved enough during the month for fun weekend activities. But there are new problems. You find that you must choose between spending cash and buying basics like food. You also need a new pair of shoes but can’t afford it, according to your budget. You may need to a different solution.

Adjust if necessary.

• After a month, you decide to abandon your first budget and to look for part-time work. You find a work-study job on campus. Making a new budget, you now have extra money without taking too much time away from your studies. You may have an effective solution.

Do regular mental exercises.

• Word games work great. In a game like “Split Words,” for example, you have to match word fragments to form words under a given theme like “philosophy.” In the game, “Tower of Babel,” you will need to memorize and then match words in a foreign language to the proper picture.
• Mathematical games will also put your problem solving to the test. Whether it be number or word problems, you will have to activate the parts of your brain that analyze information. For instance: “James is half as old now as he will be when he is 60 years older than he was six years before he was half as old as he is now. How old will James be when his age is twice what it was 10 years after he was half his current age?”

Play video games.

• Play something that will force you to think strategically or analytically. Try a puzzle game like Tetris. Or, perhaps you would rather prefer a role-playing or strategy game. In that case, something like “Civilization” or “Sim-City” might suit you better.

Take up a hobby.

• Web design, software programming, jigsaw puzzles, Sudoku, and chess are also hobbies that will force you to think strategically and systematically. Any of these will help you improve your overall problem solving.

Expert Q&A

You Might Also Like

• ↑ https://math.berkeley.edu/~gmelvin/polya.pdf
• ↑ https://www.healthywa.wa.gov.au/Articles/N_R/Problem-solving
• ↑ https://asq.org/quality-resources/problem-solving
• ↑ https://ctb.ku.edu/en/table-of-contents/evaluate/evaluate-community-interventions/collect-analyze-data/main
• ↑ https://www.mindtools.com/pages/article/newCT_96.htm
• ↑ https://www.skillsyouneed.com/ips/problem-solving.html
• ↑ Erin Conlon, PCC, JD. Executive Life Coach. Expert Interview. 31 August 2021.
• ↑ https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5930973/
• ↑ https://www.theguardian.com/lifeandstyle/2018/oct/13/mental-exercises-to-keep-your-brain-sharp
• ↑ https://www.apa.org/monitor/2014/02/video-game
• ↑ https://www.nature.com/articles/d41586-018-05449-7

About This Article

To improve your problem-solving skills, start by clearly defining the problem and your objective or goal. Next, gather as much information as you can about the problem and organize the data by rewording, condensing, or summarizing it. Then, analyze the information you've gathered, looking for important links, patterns, and relationships in the data. Finally, brainstorm possible solutions, evaluate the solutions, and choose one to implement. For tips on implementing solutions successfully, read on! Did this summary help you? Yes No

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What It Takes to Think Deeply About Complex Problems

• Tony Schwartz

Three ways to embrace a more nuanced, spacious perspective.

The problems we’re facing often seem as intractable as they do complex. But as Albert Einstein famously observed, “We cannot solve our problems with the same level of thinking that created them.” So what does it take to increase the complexity of our thinking? To cultivate a more nuanced, spacious perspective, start by challenging your convictions. Ask yourself, “What am I not seeing here?” and “What else might be true?” Second, do your most challenging task first every day, when your mind is fresh and before distractions arise. And third, pay attention to how you’re feeling. Embracing complexity means learning to better manage tough emotions like fear and anger.

The problems we’re facing often seem as complex as they do intractable. And as Albert Einstein is often quoted as saying, “We cannot solve our problems with the same level of thinking that created them.” So what does it take to increase the complexity of our thinking?

• Tony Schwartz is the CEO of The Energy Project and the author of The Way We’re Working Isn’t Working . Become a fan of The Energy Project on Facebook .

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Problem-Solving Mindset: How to Achieve It (15 Ways)

One of the most valuable skills you can have in life is a problem-solving mindset. It means that you see challenges as opportunities to learn and grow, rather than obstacles to avoid or complain about. A problem-solving mindset helps you overcome difficulties, achieve your goals, and constantly improve yourself. By developing a problem-solving mindset, you can become more confident, creative, and resilient in any situation.A well-defined problem paves the way for targeted, effective solutions. Resist the urge to jump straight into fixing things. Invest the time upfront to truly understand what needs to be solved. Starting with the end in mind will make the path to resolution that much smoother.

Sanju Pradeepa

* This Post may contain affiliate Links, and we receive an affiliate commission for any purchases made by you using such links. *

Ever feel like you’re stuck in a rut with no way out? We’ve all been there. The problems life throws at us can seem insurmountable. But the truth is, you have everything you need to overcome any challenge already within you. It’s called a problem-solving mindset. Developing the ability to see problems as puzzles to solve rather than obstacles to overcome is a game changer. With the right mindset, you can achieve amazing things.

In this article, we’ll explore what having a problem-solving mindset really means and how you can cultivate one for yourself. You’ll learn proven techniques to shift your perspective, expand your creativity, and find innovative solutions to your biggest problems. We’ll look at examples of people who have used a problem-solving mindset to accomplish extraordinary feats. By the end, you’ll have the tools and inspiration to transform how you think about and approach problems in your own life.

Table of Contents

What is a problem-solving mindset.

A problem solving mindset is all about approaching challenges in a solution-focused way. Rather than feeling defeated by obstacles, you look at them as puzzles to solve. Developing this mindset takes practice, but the rewards of increased resilience, creativity and confidence make it worth the effort.

• Identify problems, not excuses. Rather than blaming external factors, look for the issues within your control. Ask yourself, “What’s really going on here and what can I do about it?”
• Focus on solutions, not problems. Once you’ve pinpointed the issue, brainstorm options to fix it. Don’t get stuck in a negative loop. Shift your mindset to answer the question, “What are some possible solutions?”
• Look for opportunities, not obstacles. Reframe the way you view problems. See them as chances to improve and learn, rather than roadblocks stopping your progress. Ask, “What’s the opportunity or lesson here?”
• Start small and build up. Don’t feel overwhelmed by big challenges. Break them into manageable steps and celebrate small wins along the way. Solving little problems builds your confidence to tackle bigger issues.

Be patient with yourself and maintain an open and curious attitude . With regular practice, you’ll get better at seeing the solutions, rather than the obstacles. You’ll become more flexible and innovative in your thinking. And you’ll discover that you have the ability to solve problems you once thought insurmountable. That’s the power of a problem-solving mindset.

Why Developing a Problem Solving Mindset Is Important

Developing a problem-solving mindset is crucial these days. Why? Because life throws curveballs at us constantly and the only way to overcome them is through creative solutions.

Having a problem-solving mindset means you view challenges as opportunities rather than obstacles. You approach them with curiosity and optimism instead of dread. This allows you to see problems from new angles and come up with innovative solutions.

Some key characteristics of a problem-solving mindset include:

• Flexibility. You’re open to different perspectives and willing to consider alternative options.
• Creativity. You think outside the box and make unexpected connections between ideas.
• Persistence. You don’t give up easily in the face of difficulties or setbacks. You continue experimenting and adjusting your approach.
• Adaptability. You accept change and are able to quickly adjust your strategies or plans to suit new situations.
• Resourcefulness. You make the most of what you have access to and find ways to overcome limitations.

Developing a problem-solving mindset takes conscious effort and practice.

The Key Characteristics of Effective Problem Solvers

To become an effective problem solver, you need to develop certain characteristics and mindsets. Here are some of the key traits shared by great problem solvers:

1. Openness to New Ideas

Effective problem solvers have an open and curious mind. They seek out new ways of looking at problems and solutions. Rather than dismissing ideas that seem “out there,” they explore various options with an open mind.

2. Flexibility

Great problem solvers are flexible in their thinking. They can see problems from multiple perspectives and are willing to adapt their approach. If one solution isn’t working, they try another. They understand that there are many paths to solving a problem.

3. Persistence

Solving complex problems often requires persistence and determination. Effective problem solvers don’t give up easily. They continue exploring options and trying new solutions until they find one that works. They see setbacks as learning opportunities rather than failures.

Why Persistence is Important: 8 Benefits & 6 Ways to Develop

4. creativity.

Innovative problem solvers think outside the box . They make unexpected connections and come up with unconventional solutions. They utilize techniques like brainstorming, mind mapping, and lateral thinking to spark new ideas.

5. Analytical Thinking

While creativity is key, problem solvers also need to be able to evaluate solutions in a logical and analytical manner. They need to be able to determine the pros and cons, costs and benefits, and potential obstacles or issues with any solution. They rely on data, evidence, and objective reasoning to make decisions.

7 Types of Critical Thinking: A Guide to Analyzing Problems

How to cultivate a problem-solving mindset.

To cultivate a problem-solving mindset, you need to develop certain habits and ways of thinking. Here are some tips to get you started:

1. Look for Opportunities to Solve Problems

The more you practice problem solving, the better you’ll get at it. Look for opportunities in your daily life to solve small problems. This could be figuring out a better way to organize your tasks at work or coming up with a solution to traffic in your neighborhood. Start with small, low-risk problems and work your way up to more complex challenges.

2. Ask Good Questions

One of the most important skills in problem solving is asking good questions. Questions help you gain a deeper understanding of the issue and uncover new perspectives. Ask open-ended questions like:

• What’s the real problem here?
• What are the underlying causes?
• Who does this impact and how?
• What has been tried before? What worked and what didn’t?

3. Do Your Research

Don’t go into problem solving blind. Do some research to gather relevant facts and data about the situation. The more you know, the better equipped you’ll be to come up with innovative solutions. Talk to people with different viewpoints and life experiences to gain new insights.

4. Brainstorm Many Options

When you start thinking of solutions, don’t settle for the first idea that comes to mind. Brainstorm many options to open up possibilities. The more choices you have, the more likely you are to discover an unconventional solution that really fits the needs of the situation. Think outside the box!

5. Evaluate and Decide

Once you have a list of possible solutions, evaluate each option objectively based on criteria like cost, time, and effectiveness. Get input from others if needed. Then make a decision and take action. Even if it’s not the perfect solution, you can make changes as you go based on feedback and results.

6. Question your beliefs

The beliefs and assumptions you hold can influence how you perceive and solve problems. Ask yourself:

• What beliefs or stereotypes do I have about this situation or the people involved?
• Are these beliefs grounded in facts or just my personal experiences?
• How might my beliefs be limiting my thinking?

Challenging your beliefs helps you see the problem with fresh eyes and identify new solutions.

The Ultimate Guide of Overcoming Self-Limiting Beliefs

7. seek different perspectives.

Get input from people with different backgrounds, experiences, and thought processes than your own. Their unique perspectives can reveal new insights and spark innovative ideas. Some ways to gain new perspectives include:

• Discuss the problem with colleagues from different departments or areas of expertise.
• Interview customers or clients to understand their needs and priorities.
• Consult experts in unrelated fields for an outside-the-box opinion.
• Crowdsource solutions from people of diverse ages, cultures, and socioeconomic backgrounds.

8. Look beyond the obvious

We tend to focus on the most conspicuous or straightforward solutions, but the best option isn’t always obvious. Try these techniques to stimulate unconventional thinking:

• Restate the problem in new ways. A new phrasing can reveal alternative solutions.
• Remove constraints and imagine an ideal scenario. Then work backwards to find realistic options.
• Make unexpected associations between the problem and unrelated concepts or objects. Look for parallels and analogies in different domains.
• Play with hypothetical scenarios to find combinations you may not logically deduce. Some of the wildest ideas can lead to innovative solutions!

With an open and curious mindset, you can overcome assumptions, gain new insights, and find unconventional solutions to your most complex problems. The key is looking at the situation in new ways and exploring all possibilities.

Mindset is Everything: Reprogram Your Thinking for Success

9. practice active listening.

To become an effective problem solver, you need to practice active listening. This means paying close attention to what others are saying and asking follow-up questions to gain a deeper understanding of the issues.

Listen without judgment

When someone is explaining a problem to you, listen with an open mind. Avoid interrupting or criticizing them. Your role is to understand their perspective and concerns, not pass judgment. Nod, make eye contact, and give verbal affirmations like “I see” or “go on” to show you’re engaged.

Ask clarifying questions

If something is unclear or you need more details, ask questions. Say something like, “Can you explain that in more detail?” or “What specifically do you mean by that?” The more information you have about the problem, the better equipped you’ll be to solve it. Ask open-ended questions to encourage the other person to elaborate on their points.

Paraphrase and summarize

Repeat back parts of what the speaker said in your own words to confirm you understood them correctly. Say something like, “It sounds like the main issues are…” or “To summarize, the key points you’re making are…” This also shows the other person you were paying attention and care about addressing their actual concerns.

10. Withhold suggestions initially

When someone first presents you with a problem, avoid immediately suggesting solutions. Your first task is to understand the issue thoroughly. If you start proposing solutions too soon, it can seem like you’re not really listening and are just waiting for your turn to talk. Get clarification, summarize the issues, and ask any follow up questions needed before offering your input on how to solve the problem.

Developing the patience and discipline to actively listen takes practice. But by listening without judgment, asking clarifying questions, paraphrasing, and withholding suggestions initially, you’ll gain valuable insight into problems and be better equipped to solve them. Active listening is a skill that will serve you well in all areas of life.

11. Ask Lots of Questions

To solve problems effectively, you need to ask lots of questions. Questioning helps you gain a deeper understanding of the issue, uncover hidden factors, and open your mind to new solutions.

Asking “why” helps you determine the root cause of the problem. Keep asking “why” until you reach the underlying reason. For example, if sales numbers are down, ask why. The answer may be that you lost a key client. Ask why you lost the client. The answer could be poor customer service. Ask why the customer service was poor. And so on. Getting to the root cause is key to finding the right solution.

Challenge Assumptions

We all have implicit assumptions and biases that influence our thinking. Challenge any assumptions you have about the problem by asking questions like:

• What if the opposite is true?
• What are we missing or ignoring?
• What do we think is impossible but perhaps isn’t?

Questioning your assumptions opens you up to new perspectives and innovative solutions.

12. Consider Different Viewpoints

Try to see the problem from multiple angles by asking:

• How do others see this problem?
• What solutions might employees, customers, or experts suggest?
• What would someone from a different industry or background recommend?

Getting input from people with diverse experiences and ways of thinking will lead to better solutions.

13. Brainstorm New Possibilities

Once you have a good understanding of the root problem, start generating new solutions by asking open-ended questions like:

• What if anything were possible, what solutions come to mind?
• What are some wild and crazy ideas, even if implausible?
• What solutions have we not yet thought of?

Don’t judge or evaluate ideas at this stage. Just let the questions spark new creative solutions. The more questions you ask, the more solutions you’ll discover. With an inquisitive mindset, you’ll be well on your way to solving any problem.

14. Document what you find

As you research, keep notes on key details, facts, statistics, examples, and advice that stand out as most relevant or interesting. Look for common themes and threads across the different resources. Organize your notes by topic or theme to get a better sense of the big picture. Refer back to your notes to recall important points as you evaluate options and determine next steps.

Doing thorough research arms you with the knowledge and understanding to develop effective solutions. You’ll gain a deeper appreciation for the complexity of the problem and be able to make more informed choices. Research also exposes you to new ideas you may not have considered. While it requires an investment of time, research is a crucial step for achieving an optimal solution.

15. Start With the End in Mind: Define the Problem Clearly

To solve a problem effectively, you need to first define it clearly. Without a concrete understanding of the issue at hand, you’ll waste time and energy grappling with a vague, nebulous challenge.

Identify the root cause

Ask probing questions to determine the underlying reason for the problem. Get specific by figuring out who is affected, what’s not working, where the breakdown is happening, when it started, and why it’s an issue. Look beyond the symptoms to find the source. The solution lies in resolving the root cause, not just alleviating surface-level pain points.

Gather objective data

Rely on facts, not opinions or assumptions. Observe the situation directly and collect information from multiple sources. Get input from people with different perspectives. Hard data and evidence will give you an accurate, unbiased view of the problem.

Define constraints and priorities

Determine any restrictions around time, money, resources, or policies that could impact your solution. Also identify what’s most important to solve—you can’t fix everything at once. Focus on high-priority issues and leave lower-priority problems for another time.

Frame the problem statement

With a clear understanding of the root cause, supporting data, and constraints, you can craft a concise problem statement. This articulates the issue in 1 or 2 sentences and serves as a guiding vision for developing solutions. Refer back to your problem statement regularly to ensure you stay on track.

Final Thought

Developing a problem-solving mindset is within your reach if you commit to continuous learning, looking at challenges from new angles, and not being afraid to fail. Start small by picking one problem each day to solve in a creative way. Build up your confidence and skills over time through practice.

While it may feel uncomfortable at first, having an adaptable and solution-focused mindset will serve you well in all areas of life. You’ll be able to navigate obstacles and setbacks with more ease and grace. And who knows, you may even start to enjoy the problem-solving process and see problems as opportunities in disguise. The problem-solving mindset is a gift that keeps on giving. Now go out there, face your challenges head on, and solve away!

Solve It!: The Mindset and Tools of Smart Problem Solvers by  Dietmar Sternad

• Creative Problem Solving as Overcoming a Misunderstanding by Maria Bagassi  and  Laura Macchi * (Department of Psychology, University of Milano-Bicocca, Milan, Italy) ,
• Mindsets: A View From Two Eras by Carol S. Dweck 1  and  David S. Yeager 2 published in National Library of Medicine ( Perspect Psychol Sci.  Author manuscript; available in PMC 2020 May 1. Published in final edited form as: Perspect Psychol Sci. 2019 May; 14(3): 481–496. )

Call to Action

With regular practice, a problem solving mindset can become second nature. You’ll get better at seeing opportunities, asking the right questions, uncovering creative solutions, and taking action. And that will make you a highly valuable thinker in any organization or team.

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How to Improve Problem Solving Skills [10 Ways]

While it might seem like some people are just born with stronger problem-solving skills, there are strategies that anyone can use to improve them.

That’s right, it’s possible to significantly enhance your abilities in this area — and the best part is, most of these activities are also pretty fun!

What Are Problem Solving Skills?

Before we get to the engaging activities, let’s refine our understanding of problem-solving skills, which are any techniques that help you consistently:

• Understand the causes of problems
• Overcome short-term crises
• Create strategies to solve longer-term problems
• Turn problems into opportunities

What Problem Solving Skills Should I Have?

You’ll be able to solve problems in your role better as you grow in your industry-specific knowledge. But there are also a few universal problem solving skills we all need:

• Defining the Problem: Deeply understanding a problem through research , leading to better solutions. Research can include interviewing, reading books and emails, analyzing financial data, searching your organization’s intranet, and organizing your findings.
• Brainstorming: Creating a myriad of new solutions quickly. In group brainstorms, allow everyone to state ideas. Appreciate all input, and avoid criticism. Then, organize solutions into groups around common themes.
• Analyzing: Using disciplined thought processes to evaluate each possible solution. Besides listing their costs and benefits, you might apply deductive reasoning, game theory, and the rules of logic (including fallacies) to them.
• Managing Risk: Anticipating and trying to avoid the downsides of key solutions. Your team can list potential risks, rate how likely each is, predict a date by which each might either happen or no longer be an issue, and devise ways to reduce those risks.
• Deciding: The ability to decide on a solution and move forward with it. After an appropriate amount of time, an analysis of possible solutions, and feedback from team members, a designated decider must choose and implement a solution.
• Managing Emotions: Applying emotional intelligence in order to improve your and your team members’ ability to think clearly. This requires you to recognize emotions in yourself and others, manage feelings, and channel emotions into useful work.

10 Exciting Ways to Improve Problem Solving Skills

Use these ten creative ways to improve problem solving skills, develop more strategic ways of thinking , and train your brain to do more.

1. Dance Your Heart Out

Did you know that dancing has a positive impact on neural processing, possibly developing new neural pathways to go around dopamine-depleted blockages in the brain?

This means that if you engage in ballet or another form of structured dance, doing so may facilitate convergent thinking . In other words, it may help you find a single, appropriate answer to a problem. If you need help with divergent thinking (finding multiple answers to a problem), engaging in more improvised types of dance such as hip-hop or tap might just do the trick.

2. Work out Your Brain with Logic Puzzles or Games

The winning strategy when playing chess, Sudoku, a Rubik’s Cube, or other brain-boosting games is actually to work the problem backward, not forward. The same strategy can apply to realistic strategic-thinking situations.

To build up your brain muscle and develop new problem-solving techniques, practice some logic puzzles and other games .

3. Get a Good Night’s Sleep

More than any other sleeping or awake state, Rapid Eye Movement (REM) sleep directly enhances creative processing in the brain. REM sleep helps “stimulate associative networks, allowing the brain to make new and useful associations between unrelated ideas” and are “not due to selective memory enhancements” such as memory consolidation, which occurs when awake.

4. Work out to Some Tunes

A study of cardiac rehabilitation patients tested verbal fluency after exercising with and without music. Results showed that when they listened to music while working out, participants more than doubled their scores on verbal fluency tests in contrast to when they worked out in silence. According to the study’s lead author, “The combination of music and exercise may stimulate and increase cognitive arousal while helping to organize the cognitive output.”

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5. keep an “idea journal” with you, 6. participate in yoga.

The powerful combination of body awareness, breathing, and meditation that is required during yoga practice has been shown to significantly raise cognitive test scores. Other results from a University of Illinois study include shorter reaction times, more accuracy, and increased attention.

7. Eat Some Cheerios (And Then Think About It)

The Cheerios Effect is the name physicists have given to the event that happens when the last few cheerios in a bowl always cling to each other. The cause of this occurrence is surface tension.

The takeaway is that when it comes to experiencing tension while trying to solve a problem, cling to those around you. Rely on others’ experiences and ideas, even those from different career fields. Draw connections. Brainstorm. Work together to get the job done.

8. Use Mind Maps to Help Visualize the Problem

Mind Maps , a visual snapshot of a problem and its possible solutions, can help focus the mind, stimulate the brain, increase the capacity for creative thinking, and generate more ideas for solutions.

Make a Mind Map by drawing your problem as the central idea. Add “main branches” consisting of all the reasons for the problem. Use “sub-branches” to explore further details.

Next, make a separate Mind Map of all possible solutions to the central problem. Add “main branches” showing all the ways that your problem can be solved, such as colleagues that can help, techniques you can apply, and other resources you can use. Add “sub-branches” to further explore the details. Make a final branch with the most suitable solution for the main problem. Use “sub-branches” for details.

Through this exercise, you should be able to see which “branch” or option is the most practical, time-saving, and cost-effective problem solving method .

9. Create “Psychological Distance”

What is psychological distance? According to the construal level theory (CLT), it’s “anything that we do not experience as occurring now, here, and to ourselves.” Some examples include taking another person’s perspective or thinking of the problem as unlikely.

Scientists have shown that by increasing the mental distance between us and our problem, we’ll have an increase in creative solutions. This happens because thinking more abstractly helps us form unexpected connections between seemingly unrelated concepts, thus allowing our minds to increase its problem solving capacity.

10. Play Some Soccer

A link has been found between our brain’s “executive functions” and sports success . When in action, our brains are quickly multitasking between moving, anticipating, strategizing, reacting, and performing. Doing all these things at once requires an enormous amount of brain activity.

This can be related to our working world when we plan, reason, monitor our actions and problem solve all at once. Therefore, it may be concluded that when you play soccer or any other fast-moving sport, you’re rewiring your brain to be quicker at thinking, processing, and reacting to problems.

To learn more about how to develop your problem-solving and decision making capabilities or to receive training on applied strategic thinking skills , contact CMOE today!

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Strategies to Improve Your Problem-Solving Skills

Got problems? We all do.

They’re something we encounter daily, both at work and at home. Tackling problems and finding solutions are useful skills that are in high demand.

At a basic level, there are three steps to solving any problem:

• Define the problem
• Generate ideas for solutions
• Implement solutions

You might be tempted to think that the first step is unnecessary. After all, that’s why you’re here in the first place, to solve a problem. However, defining the problem is arguably the most important step in problem-solving.

Albert Einstein is famously quoted as saying, “If I had an hour to solve a problem I’d spend 55 minutes thinking about the problem and 5 minutes thinking about solutions.”

When you can spend more time defining the real problem, and not just a symptom, it will be easier to find a lasting solution.

How to better define the problem:

• Ask “why” questions
• Talk it through with others
• Write down the problem in words
• Use graphs or flow charts

Now that we’ve talked about the steps of solving a problem and how to better define it, let’s dig into some strategies to help your brain perform at its best for solving problems.

“Thanks to a process called neuroplasticity, your brain is continually reorganizing itself by forming new neural connections throughout your life, which gives you the power to make your brain better.” – Daniel G. Amen, MD

Neuroplasticity enables your brain to continue to learn and grow throughout your life. Like your muscles, your brain needs exercise to become stronger. Becoming a life-long learner will not only strengthen your brain, but also sharpen your memory, boost confidence, and bring new knowledge and skills into your life.

3 Ways to Improve Your Problem-Solving Skills

1.    Regularly Engage in Brain Boosting Activities

There are a number of easy and fun ways to strengthen your brain. Adding one or more of these activities into your daily routines can help boost your brain and result in better problem-solving abilities.

• Work on a jigsaw puzzle – Puzzles can be done on your own, or as a social activity. Putting together a puzzle requires concentration and spatial awareness, activating multiple parts of the brain and improving short-term memory.
• Play a musical instrument – Research has shown that learning to play an instrument can improve neuroplasticity and help improve your memory. Playing music engages multiple regions of the brain, providing numerous benefits. Maybe it’s been a while since you last played, or maybe you’ve never learned an instrument. Either way, it’s never too late to tap into your musical side and begin making music.
• Try a new hobby – Remember the “use it or lose it” concept when it comes to the brain. It’s recommended to never stop learning new things. Challenge yourself, no matter your age! Trying new hobbies is a great mental exercise to sharpen your brain. You also may find a new activity that brings more joy to your life.
• Meditate – The practice of meditation has been around for thousands of years as a tool for reducing stress, clearing your mind, promoting relaxation, and improving focus. Meditation is a powerful tool that can boost your brain anytime, anywhere.
• Play brain games – Chess, crossword puzzles, and sudoku all fall under this category. Brain games are an easy and fun way to improve concentration and strengthen memory. The best part is that they only take a few minutes to play and offer a nice break during the day.
• Read a book with a book club – Reading a book offers many benefits, including stimulating different areas of your brain to process and analyze information. When you participate in a reading group , your brain will need to remember information for later recall. This information recall is highly beneficial to protecting short-term memory. Book clubs also can provide a fun and supportive social network.

2.    Spend time NOT looking for the solution

This is counterintuitive, but it’s an important strategy to use when working on a problem. Allow yourself some downtime after defining the problem.

Let your subconscious do some work. Setting a task aside for a time can actually improve your efforts later. When you return to the problem at hand, you’ll likely have a fresh perspective.

What should you do while giving your brain a break from active problem-solving? Enjoy a hobby, get some rest, or move your body with a walk or other form of exercise.

3.    Practice healthy habits

You guessed it, those healthy habits that affect so many areas of your life are also tied to a healthy brain. Exercise, a healthy diet, and quality sleep can all help your brain function better and improve your problem-solving skills overall.

• Exercise – Moving your body increases blood flow to the brain, which can improve your ability to think critically, clearly, and creatively. Additionally, physical activity is a known way to reduce stress and anxiousness. Research has shown creativity and problem-solving to be negatively affected by stress. Using exercise to combat stress can improve your ability to find solutions with a clear mind. By exercising regularly, your overall physical, emotional, and brain health may be positively impacted.
• Healthy Diet – Dr. Daniel Amen teaches that one of the secrets to a healthy brain is to focus on detoxification in your diet. This includes avoiding alcohol, drinking plenty of water, and consuming detoxifying vegetables . Some good vegetables to incorporate into your diet would be lettuce, spinach, kale, broccoli, and asparagus. You also may try increasing your protein intake for a healthy brain, or try adding in turmeric , which can increase neuroplasticity.
• Quality Sleep – Finally, don’t forget about the impact quality sleep, or the lack of it, can have on your brain function and problem-solving abilities. Getting a good night’s rest gives your brain time to recharge and that necessary downtime of not actively thinking about the problems needing solving. While you sleep, your subconscious has a chance to do some work for you!

When you engage in brain-boosting activities, take some downtime, and practice healthy habits you’ll be better prepared for the problems in your days. And, next time you’re faced with the inevitable problems that come with life and work, you can address them with more clarity and confidence.

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How to develop a problem-solving mindset

May 14, 2023 Leaders today are confronted with more problems, of greater magnitude, than ever before. In these volatile times, it’s natural to react based on what’s worked best in the past. But when you’re solving the toughest business challenges on an ongoing basis, it’s crucial to start from a place of awareness. “If you are in an uncertain situation, the most important thing you can do is calm down,” says senior partner Aaron De Smet , who coauthored Deliberate Calm  with Jacqueline Brassey  and Michiel Kruyt. “Take a breath. Take stock. ‘Is the thing I’m about to do the right thing to do?’ And in many cases, the answer is no. If you were in a truly uncertain environment, if you’re in new territory, the thing you would normally do might not be the right thing.” Practicing deliberate calm not only prepares you to deal with the toughest problems, but it enhances the quality of your decisions, makes you more productive, and enables you to be a better leader. Check out these insights to learn how to develop a problem-solving mindset—and understand why the solution to any problem starts with you.

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How to build your critical thinking skills in 7 steps (with examples)

Critical thinking is, well, critical. By building these skills, you improve your ability to analyze information and come to the best decision possible. In this article, we cover the basics of critical thinking, as well as the seven steps you can use to implement the full critical thinking process. 

Critical thinking comes from asking the right questions to come to the best conclusion possible. Strong critical thinkers analyze information from a variety of viewpoints in order to identify the best course of action.

Don’t worry if you don’t think you have strong critical thinking abilities. In this article, we’ll help you build a foundation for critical thinking so you can absorb, analyze, and make informed decisions. 

What is critical thinking? 

Critical thinking is the ability to collect and analyze information to come to a conclusion. Being able to think critically is important in virtually every industry and applicable across a wide range of positions. That’s because critical thinking isn’t subject-specific—rather, it’s your ability to parse through information, data, statistics, and other details in order to identify a satisfactory solution. 

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Top 8 critical thinking skills

Like most soft skills, critical thinking isn’t something you can take a class to learn. Rather, this skill consists of a variety of interpersonal and analytical skills. Developing critical thinking is more about learning to embrace open-mindedness and bringing analytical thinking to your problem framing process. 

In no particular order, the eight most important critical thinking skills are:

Analytical thinking: Part of critical thinking is evaluating data from multiple sources in order to come to the best conclusions. Analytical thinking allows people to reject bias and strive to gather and consume information to come to the best conclusion. 

Open-mindedness: This critical thinking skill helps you analyze and process information to come to an unbiased conclusion. Part of the critical thinking process is letting your personal biases go and coming to a conclusion based on all of the information. 

Problem solving : Because critical thinking emphasizes coming to the best conclusion based on all of the available information, it’s a key part of problem solving. When used correctly, critical thinking helps you solve any problem—from a workplace challenge to difficulties in everyday life. 

Self-regulation: Self-regulation refers to the ability to regulate your thoughts and set aside any personal biases to come to the best conclusion. In order to be an effective critical thinker, you need to question the information you have and the decisions you favor—only then can you come to the best conclusion. 

Observation: Observation skills help critical thinkers look for things beyond face value. To be a critical thinker you need to embrace multiple points of view, and you can use observation skills to identify potential problems.

Interpretation: Not all data is made equal—and critical thinkers know this. In addition to gathering information, it’s important to evaluate which information is important and relevant to your situation. That way, you can draw the best conclusions from the data you’ve collected. 

Evaluation: When you attempt to answer a hard question, there is rarely an obvious answer. Even though critical thinking emphasizes putting your biases aside, you need to be able to confidently make a decision based on the data you have available. 

Communication: Once a decision has been made, you also need to share this decision with other stakeholders. Effective workplace communication includes presenting evidence and supporting your conclusion—especially if there are a variety of different possible solutions. 

7 steps to critical thinking

Critical thinking is a skill that you can build by following these seven steps. The seven steps to critical thinking help you ensure you’re approaching a problem from the right angle, considering every alternative, and coming to an unbiased conclusion.

 First things first: When to use the 7 step critical thinking process

There’s a lot that goes into the full critical thinking process, and not every decision needs to be this thought out. Sometimes, it’s enough to put aside bias and approach a process logically. In other, more complex cases, the best way to identify the ideal outcome is to go through the entire critical thinking process. 

The seven-step critical thinking process is useful for complex decisions in areas you are less familiar with. Alternatively, the seven critical thinking steps can help you look at a problem you’re familiar with from a different angle, without any bias. 

If you need to make a less complex decision, consider another problem solving strategy instead. Decision matrices are a great way to identify the best option between different choices. Check out our article on 7 steps to creating a decision matrix .

1. Identify the problem

Before you put those critical thinking skills to work, you first need to identify the problem you’re solving. This step includes taking a look at the problem from a few different perspectives and asking questions like: 

What’s happening? 

Why is this happening? 

What assumptions am I making? 

At first glance, how do I think we can solve this problem? 

A big part of developing your critical thinking skills is learning how to come to unbiased conclusions. In order to do that, you first need to acknowledge the biases that you currently have. Does someone on your team think they know the answer? Are you making assumptions that aren’t necessarily true? Identifying these details helps you later on in the process. 

2. Research

At this point, you likely have a general idea of the problem—but in order to come up with the best solution, you need to dig deeper. 

During the research process, collect information relating to the problem, including data, statistics, historical project information, team input, and more. Make sure you gather information from a variety of sources, especially if those sources go against your personal ideas about what the problem is or how to solve it.

Gathering varied information is essential for your ability to apply the critical thinking process. If you don’t get enough information, your ability to make a final decision will be skewed. Remember that critical thinking is about helping you identify the objective best conclusion. You aren’t going with your gut—you’re doing research to find the best option

3. Determine data relevance

Just as it’s important to gather a variety of information, it is also important to determine how relevant the different information sources are. After all, just because there is data doesn’t mean it’s relevant. 

Once you’ve gathered all of the information, sift through the noise and identify what information is relevant and what information isn’t. Synthesizing all of this information and establishing significance helps you weigh different data sources and come to the best conclusion later on in the critical thinking process. 

To determine data relevance, ask yourself:

How reliable is this information? 

How significant is this information? 

Is this information outdated? Is it specialized in a specific field? 

4. Ask questions

One of the most useful parts of the critical thinking process is coming to a decision without bias. In order to do so, you need to take a step back from the process and challenge the assumptions you’re making. 

We all have bias—and that isn’t necessarily a bad thing. Unconscious biases (also known as cognitive biases) often serve as mental shortcuts to simplify problem solving and aid decision making. But even when biases aren’t inherently bad, you must be aware of your biases in order to put them aside when necessary. 

Before coming to a solution, ask yourself:

Am I making any assumptions about this information? 

Are there additional variables I haven’t considered? 

Have I evaluated the information from every perspective? 

Are there any viewpoints I missed? 

5. Identify the best solution

Finally, you’re ready to come to a conclusion. To identify the best solution, draw connections between causes and effects. Use the facts you’ve gathered to evaluate the most objective conclusion. 

Keep in mind that there may be more than one solution. Often, the problems you’re facing are complex and intricate. The critical thinking process doesn’t necessarily lead to a cut-and-dry solution—instead, the process helps you understand the different variables at play so you can make an informed decision. 

6. Present your solution

Communication is a key skill for critical thinkers. It isn’t enough to think for yourself—you also need to share your conclusion with other project stakeholders. If there are multiple solutions, present them all. There may be a case where you implement one solution, then test to see if it works before implementing another solution. 

7. Analyze your decision

The seven-step critical thinking process yields a result—and you then need to put that solution into place. After you’ve implemented your decision, evaluate whether or not it was effective. Did it solve the initial problem? What lessons—whether positive or negative—can you learn from this experience to improve your critical thinking for next time? 

Depending on how your team shares information, consider documenting lessons learned in a central source of truth. That way, team members that are making similar or related decisions in the future can understand why you made the decision you made and what the outcome was. 

Example of critical thinking in the workplace

Imagine you work in user experience design (UX). Your team is focused on pricing and packaging and ensuring customers have a clear understanding of the different services your company offers. Here’s how to apply the critical thinking process in the workplace in seven steps: 

Start by identifying the problem

Your current pricing page isn’t performing as well as you want. You’ve heard from customers that your services aren’t clear, and that the page doesn’t answer the questions they have. This page is really important for your company, since it’s where your customers sign up for your service. You and your team have a few theories about why your current page isn’t performing well, but you decide to apply the critical thinking process to ensure you come to the best decision for the page. 

Gather information about how the problem started

Part of identifying the problem includes understanding how the problem started. The pricing and packaging page is important—so when your team initially designed the page, they certainly put a lot of thought into it. Before you begin researching how to improve the page, ask yourself: 

Why did you design the pricing page the way you did? 

Which stakeholders need to be involved in the decision making process? 

Where are users getting stuck on the page?

Are any features currently working?

Then, you research

In addition to understanding the history of the pricing and packaging page, it’s important to understand what works well. Part of this research means taking a look at what your competitor’s pricing pages look like. 

Ask yourself: 

How have our competitors set up their pricing pages?

Are there any pricing page best practices? 

How does color, positioning, and animation impact navigation? 

Are there any standard page layouts customers expect to see? 

Organize and analyze information

You’ve gathered all of the information you need—now you need to organize and analyze it. What trends, if any, are you noticing? Is there any particularly relevant or important information that you have to consider? 

Ask open-ended questions to reduce bias

In the case of critical thinking, it’s important to address and set bias aside as much as possible. Ask yourself: 

Is there anything I’m missing? 

Have I connected with the right stakeholders? 

Are there any other viewpoints I should consider? 

Determine the best solution for your team

You now have all of the information you need to design the best pricing page. Depending on the complexity of the design, you may want to design a few options to present to a small group of customers or A/B test on the live website.

Present your solution to stakeholders

Critical thinking can help you in every element of your life, but in the workplace, you must also involve key project stakeholders . Stakeholders help you determine next steps, like whether you’ll A/B test the page first. Depending on the complexity of the issue, consider hosting a meeting or sharing a status report to get everyone on the same page. 

Analyze the results

No process is complete without evaluating the results. Once the new page has been live for some time, evaluate whether it did better than the previous page. What worked? What didn’t? This also helps you make better critical decisions later on.

Critically successful 

Critical thinking takes time to build, but with effort and patience you can apply an unbiased, analytical mind to any situation. Critical thinking makes up one of many soft skills that makes you an effective team member, manager, and worker. If you’re looking to hone your skills further, read our article on the 25 project management skills you need to succeed . 

Related resources

Smooth product launches are simpler than you think

Fix these common onboarding challenges to boost productivity

How Asana uses work management to optimize resource planning

How Asana uses work management for organizational planning

35 problem-solving techniques and methods for solving complex problems

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All teams and organizations encounter challenges as they grow. There are problems that might occur for teams when it comes to miscommunication or resolving business-critical issues . You may face challenges around growth , design , user engagement, and even team culture and happiness. In short, problem-solving techniques should be part of every team’s skillset.

Problem-solving methods are primarily designed to help a group or team through a process of first identifying problems and challenges , ideating possible solutions , and then evaluating the most suitable .

Finding effective solutions to complex problems isn’t easy, but by using the right process and techniques, you can help your team be more efficient in the process.

So how do you develop strategies that are engaging, and empower your team to solve problems effectively?

In this blog post, we share a series of problem-solving tools you can use in your next workshop or team meeting. You’ll also find some tips for facilitating the process and how to enable others to solve complex problems.

Let’s get started! 

How do you identify problems?

How do you identify the right solution.

• Tips for more effective problem-solving

Complete problem-solving methods

• Problem-solving techniques to identify and analyze problems
• Problem-solving techniques for developing solutions

Problem-solving warm-up activities

Closing activities for a problem-solving process.

Before you can move towards finding the right solution for a given problem, you first need to identify and define the problem you wish to solve. 

Here, you want to clearly articulate what the problem is and allow your group to do the same. Remember that everyone in a group is likely to have differing perspectives and alignment is necessary in order to help the group move forward. 

Identifying a problem accurately also requires that all members of a group are able to contribute their views in an open and safe manner. It can be scary for people to stand up and contribute, especially if the problems or challenges are emotive or personal in nature. Be sure to try and create a psychologically safe space for these kinds of discussions.

Remember that problem analysis and further discussion are also important. Not taking the time to fully analyze and discuss a challenge can result in the development of solutions that are not fit for purpose or do not address the underlying issue.

Successfully identifying and then analyzing a problem means facilitating a group through activities designed to help them clearly and honestly articulate their thoughts and produce usable insight.

With this data, you might then produce a problem statement that clearly describes the problem you wish to be addressed and also state the goal of any process you undertake to tackle this issue.  

Finding solutions is the end goal of any process. Complex organizational challenges can only be solved with an appropriate solution but discovering them requires using the right problem-solving tool.

After you’ve explored a problem and discussed ideas, you need to help a team discuss and choose the right solution. Consensus tools and methods such as those below help a group explore possible solutions before then voting for the best. They’re a great way to tap into the collective intelligence of the group for great results!

Remember that the process is often iterative. Great problem solvers often roadtest a viable solution in a measured way to see what works too. While you might not get the right solution on your first try, the methods below help teams land on the most likely to succeed solution while also holding space for improvement.

Every effective problem solving process begins with an agenda . A well-structured workshop is one of the best methods for successfully guiding a group from exploring a problem to implementing a solution.

In SessionLab, it’s easy to go from an idea to a complete agenda . Start by dragging and dropping your core problem solving activities into place . Add timings, breaks and necessary materials before sharing your agenda with your colleagues.

The resulting agenda will be your guide to an effective and productive problem solving session that will also help you stay organized on the day!

Tips for more effective problem solving

Problem-solving activities are only one part of the puzzle. While a great method can help unlock your team’s ability to solve problems, without a thoughtful approach and strong facilitation the solutions may not be fit for purpose.

Let’s take a look at some problem-solving tips you can apply to any process to help it be a success!

Clearly define the problem

Jumping straight to solutions can be tempting, though without first clearly articulating a problem, the solution might not be the right one. Many of the problem-solving activities below include sections where the problem is explored and clearly defined before moving on.

This is a vital part of the problem-solving process and taking the time to fully define an issue can save time and effort later. A clear definition helps identify irrelevant information and it also ensures that your team sets off on the right track.

Don’t jump to conclusions

It’s easy for groups to exhibit cognitive bias or have preconceived ideas about both problems and potential solutions. Be sure to back up any problem statements or potential solutions with facts, research, and adequate forethought.

The best techniques ask participants to be methodical and challenge preconceived notions. Make sure you give the group enough time and space to collect relevant information and consider the problem in a new way. By approaching the process with a clear, rational mindset, you’ll often find that better solutions are more forthcoming.  

Try different approaches  

Problems come in all shapes and sizes and so too should the methods you use to solve them. If you find that one approach isn’t yielding results and your team isn’t finding different solutions, try mixing it up. You’ll be surprised at how using a new creative activity can unblock your team and generate great solutions.

Don’t take it personally 

Depending on the nature of your team or organizational problems, it’s easy for conversations to get heated. While it’s good for participants to be engaged in the discussions, ensure that emotions don’t run too high and that blame isn’t thrown around while finding solutions.

You’re all in it together, and even if your team or area is seeing problems, that isn’t necessarily a disparagement of you personally. Using facilitation skills to manage group dynamics is one effective method of helping conversations be more constructive.

Get the right people in the room

Your problem-solving method is often only as effective as the group using it. Getting the right people on the job and managing the number of people present is important too!

If the group is too small, you may not get enough different perspectives to effectively solve a problem. If the group is too large, you can go round and round during the ideation stages.

Creating the right group makeup is also important in ensuring you have the necessary expertise and skillset to both identify and follow up on potential solutions. Carefully consider who to include at each stage to help ensure your problem-solving method is followed and positioned for success.

Document everything

The best solutions can take refinement, iteration, and reflection to come out. Get into a habit of documenting your process in order to keep all the learnings from the session and to allow ideas to mature and develop. Many of the methods below involve the creation of documents or shared resources. Be sure to keep and share these so everyone can benefit from the work done!

Bring a facilitator 

Facilitation is all about making group processes easier. With a subject as potentially emotive and important as problem-solving, having an impartial third party in the form of a facilitator can make all the difference in finding great solutions and keeping the process moving. Consider bringing a facilitator to your problem-solving session to get better results and generate meaningful solutions!

Develop your problem-solving skills

It takes time and practice to be an effective problem solver. While some roles or participants might more naturally gravitate towards problem-solving, it can take development and planning to help everyone create better solutions.

You might develop a training program, run a problem-solving workshop or simply ask your team to practice using the techniques below. Check out our post on problem-solving skills to see how you and your group can develop the right mental process and be more resilient to issues too!

Design a great agenda

Workshops are a great format for solving problems. With the right approach, you can focus a group and help them find the solutions to their own problems. But designing a process can be time-consuming and finding the right activities can be difficult.

Check out our workshop planning guide to level-up your agenda design and start running more effective workshops. Need inspiration? Check out templates designed by expert facilitators to help you kickstart your process!

In this section, we’ll look at in-depth problem-solving methods that provide a complete end-to-end process for developing effective solutions. These will help guide your team from the discovery and definition of a problem through to delivering the right solution.

If you’re looking for an all-encompassing method or problem-solving model, these processes are a great place to start. They’ll ask your team to challenge preconceived ideas and adopt a mindset for solving problems more effectively.

• Six Thinking Hats
• Lightning Decision Jam
• Problem Definition Process
• Discovery & Action Dialogue

Design Sprint 2.0

• Open Space Technology

1. Six Thinking Hats

Individual approaches to solving a problem can be very different based on what team or role an individual holds. It can be easy for existing biases or perspectives to find their way into the mix, or for internal politics to direct a conversation.

Six Thinking Hats is a classic method for identifying the problems that need to be solved and enables your team to consider them from different angles, whether that is by focusing on facts and data, creative solutions, or by considering why a particular solution might not work.

Like all problem-solving frameworks, Six Thinking Hats is effective at helping teams remove roadblocks from a conversation or discussion and come to terms with all the aspects necessary to solve complex problems.

2. Lightning Decision Jam

Featured courtesy of Jonathan Courtney of AJ&Smart Berlin, Lightning Decision Jam is one of those strategies that should be in every facilitation toolbox. Exploring problems and finding solutions is often creative in nature, though as with any creative process, there is the potential to lose focus and get lost.

Unstructured discussions might get you there in the end, but it’s much more effective to use a method that creates a clear process and team focus.

In Lightning Decision Jam, participants are invited to begin by writing challenges, concerns, or mistakes on post-its without discussing them before then being invited by the moderator to present them to the group.

From there, the team vote on which problems to solve and are guided through steps that will allow them to reframe those problems, create solutions and then decide what to execute on. 

By deciding the problems that need to be solved as a team before moving on, this group process is great for ensuring the whole team is aligned and can take ownership over the next stages. 

Lightning Decision Jam (LDJ)   #action   #decision making   #problem solving   #issue analysis   #innovation   #design   #remote-friendly   The problem with anything that requires creative thinking is that it’s easy to get lost—lose focus and fall into the trap of having useless, open-ended, unstructured discussions. Here’s the most effective solution I’ve found: Replace all open, unstructured discussion with a clear process. What to use this exercise for: Anything which requires a group of people to make decisions, solve problems or discuss challenges. It’s always good to frame an LDJ session with a broad topic, here are some examples: The conversion flow of our checkout Our internal design process How we organise events Keeping up with our competition Improving sales flow

3. Problem Definition Process

While problems can be complex, the problem-solving methods you use to identify and solve those problems can often be simple in design. 

By taking the time to truly identify and define a problem before asking the group to reframe the challenge as an opportunity, this method is a great way to enable change.

Begin by identifying a focus question and exploring the ways in which it manifests before splitting into five teams who will each consider the problem using a different method: escape, reversal, exaggeration, distortion or wishful. Teams develop a problem objective and create ideas in line with their method before then feeding them back to the group.

This method is great for enabling in-depth discussions while also creating space for finding creative solutions too!

Problem Definition   #problem solving   #idea generation   #creativity   #online   #remote-friendly   A problem solving technique to define a problem, challenge or opportunity and to generate ideas.

4. The 5 Whys 

Sometimes, a group needs to go further with their strategies and analyze the root cause at the heart of organizational issues. An RCA or root cause analysis is the process of identifying what is at the heart of business problems or recurring challenges. 

The 5 Whys is a simple and effective method of helping a group go find the root cause of any problem or challenge and conduct analysis that will deliver results. 

By beginning with the creation of a problem statement and going through five stages to refine it, The 5 Whys provides everything you need to truly discover the cause of an issue.

The 5 Whys   #hyperisland   #innovation   This simple and powerful method is useful for getting to the core of a problem or challenge. As the title suggests, the group defines a problems, then asks the question “why” five times, often using the resulting explanation as a starting point for creative problem solving.

5. World Cafe

World Cafe is a simple but powerful facilitation technique to help bigger groups to focus their energy and attention on solving complex problems.

World Cafe enables this approach by creating a relaxed atmosphere where participants are able to self-organize and explore topics relevant and important to them which are themed around a central problem-solving purpose. Create the right atmosphere by modeling your space after a cafe and after guiding the group through the method, let them take the lead!

Making problem-solving a part of your organization’s culture in the long term can be a difficult undertaking. More approachable formats like World Cafe can be especially effective in bringing people unfamiliar with workshops into the fold. 

World Cafe   #hyperisland   #innovation   #issue analysis   World Café is a simple yet powerful method, originated by Juanita Brown, for enabling meaningful conversations driven completely by participants and the topics that are relevant and important to them. Facilitators create a cafe-style space and provide simple guidelines. Participants then self-organize and explore a set of relevant topics or questions for conversation.

6. Discovery & Action Dialogue (DAD)

One of the best approaches is to create a safe space for a group to share and discover practices and behaviors that can help them find their own solutions.

With DAD, you can help a group choose which problems they wish to solve and which approaches they will take to do so. It’s great at helping remove resistance to change and can help get buy-in at every level too!

This process of enabling frontline ownership is great in ensuring follow-through and is one of the methods you will want in your toolbox as a facilitator.

Discovery & Action Dialogue (DAD)   #idea generation   #liberating structures   #action   #issue analysis   #remote-friendly   DADs make it easy for a group or community to discover practices and behaviors that enable some individuals (without access to special resources and facing the same constraints) to find better solutions than their peers to common problems. These are called positive deviant (PD) behaviors and practices. DADs make it possible for people in the group, unit, or community to discover by themselves these PD practices. DADs also create favorable conditions for stimulating participants’ creativity in spaces where they can feel safe to invent new and more effective practices. Resistance to change evaporates as participants are unleashed to choose freely which practices they will adopt or try and which problems they will tackle. DADs make it possible to achieve frontline ownership of solutions.

7. Design Sprint 2.0

Want to see how a team can solve big problems and move forward with prototyping and testing solutions in a few days? The Design Sprint 2.0 template from Jake Knapp, author of Sprint, is a complete agenda for a with proven results.

Developing the right agenda can involve difficult but necessary planning. Ensuring all the correct steps are followed can also be stressful or time-consuming depending on your level of experience.

Use this complete 4-day workshop template if you are finding there is no obvious solution to your challenge and want to focus your team around a specific problem that might require a shortcut to launching a minimum viable product or waiting for the organization-wide implementation of a solution.

8. Open space technology

Open space technology- developed by Harrison Owen – creates a space where large groups are invited to take ownership of their problem solving and lead individual sessions. Open space technology is a great format when you have a great deal of expertise and insight in the room and want to allow for different takes and approaches on a particular theme or problem you need to be solved.

Start by bringing your participants together to align around a central theme and focus their efforts. Explain the ground rules to help guide the problem-solving process and then invite members to identify any issue connecting to the central theme that they are interested in and are prepared to take responsibility for.

Once participants have decided on their approach to the core theme, they write their issue on a piece of paper, announce it to the group, pick a session time and place, and post the paper on the wall. As the wall fills up with sessions, the group is then invited to join the sessions that interest them the most and which they can contribute to, then you’re ready to begin!

Everyone joins the problem-solving group they’ve signed up to, record the discussion and if appropriate, findings can then be shared with the rest of the group afterward.

Open Space Technology   #action plan   #idea generation   #problem solving   #issue analysis   #large group   #online   #remote-friendly   Open Space is a methodology for large groups to create their agenda discerning important topics for discussion, suitable for conferences, community gatherings and whole system facilitation

Techniques to identify and analyze problems

Using a problem-solving method to help a team identify and analyze a problem can be a quick and effective addition to any workshop or meeting.

While further actions are always necessary, you can generate momentum and alignment easily, and these activities are a great place to get started.

We’ve put together this list of techniques to help you and your team with problem identification, analysis, and discussion that sets the foundation for developing effective solutions.

Let’s take a look!

• The Creativity Dice
• Fishbone Analysis
• Problem Tree
• SWOT Analysis
• Agreement-Certainty Matrix
• The Journalistic Six
• LEGO Challenge
• What, So What, Now What?
• Journalists

Individual and group perspectives are incredibly important, but what happens if people are set in their minds and need a change of perspective in order to approach a problem more effectively?

Flip It is a method we love because it is both simple to understand and run, and allows groups to understand how their perspectives and biases are formed. 

Participants in Flip It are first invited to consider concerns, issues, or problems from a perspective of fear and write them on a flip chart. Then, the group is asked to consider those same issues from a perspective of hope and flip their understanding.  

No problem and solution is free from existing bias and by changing perspectives with Flip It, you can then develop a problem solving model quickly and effectively.

Flip It!   #gamestorming   #problem solving   #action   Often, a change in a problem or situation comes simply from a change in our perspectives. Flip It! is a quick game designed to show players that perspectives are made, not born.

10. The Creativity Dice

One of the most useful problem solving skills you can teach your team is of approaching challenges with creativity, flexibility, and openness. Games like The Creativity Dice allow teams to overcome the potential hurdle of too much linear thinking and approach the process with a sense of fun and speed. 

In The Creativity Dice, participants are organized around a topic and roll a dice to determine what they will work on for a period of 3 minutes at a time. They might roll a 3 and work on investigating factual information on the chosen topic. They might roll a 1 and work on identifying the specific goals, standards, or criteria for the session.

Encouraging rapid work and iteration while asking participants to be flexible are great skills to cultivate. Having a stage for idea incubation in this game is also important. Moments of pause can help ensure the ideas that are put forward are the most suitable. 

The Creativity Dice   #creativity   #problem solving   #thiagi   #issue analysis   Too much linear thinking is hazardous to creative problem solving. To be creative, you should approach the problem (or the opportunity) from different points of view. You should leave a thought hanging in mid-air and move to another. This skipping around prevents premature closure and lets your brain incubate one line of thought while you consciously pursue another.

11. Fishbone Analysis

Organizational or team challenges are rarely simple, and it’s important to remember that one problem can be an indication of something that goes deeper and may require further consideration to be solved.

Fishbone Analysis helps groups to dig deeper and understand the origins of a problem. It’s a great example of a root cause analysis method that is simple for everyone on a team to get their head around. 

Participants in this activity are asked to annotate a diagram of a fish, first adding the problem or issue to be worked on at the head of a fish before then brainstorming the root causes of the problem and adding them as bones on the fish. 

Using abstractions such as a diagram of a fish can really help a team break out of their regular thinking and develop a creative approach.

Fishbone Analysis   #problem solving   ##root cause analysis   #decision making   #online facilitation   A process to help identify and understand the origins of problems, issues or observations.

12. Problem Tree 

Encouraging visual thinking can be an essential part of many strategies. By simply reframing and clarifying problems, a group can move towards developing a problem solving model that works for them. 

In Problem Tree, groups are asked to first brainstorm a list of problems – these can be design problems, team problems or larger business problems – and then organize them into a hierarchy. The hierarchy could be from most important to least important or abstract to practical, though the key thing with problem solving games that involve this aspect is that your group has some way of managing and sorting all the issues that are raised.

Once you have a list of problems that need to be solved and have organized them accordingly, you’re then well-positioned for the next problem solving steps.

Problem tree   #define intentions   #create   #design   #issue analysis   A problem tree is a tool to clarify the hierarchy of problems addressed by the team within a design project; it represents high level problems or related sublevel problems.

13. SWOT Analysis

Chances are you’ve heard of the SWOT Analysis before. This problem-solving method focuses on identifying strengths, weaknesses, opportunities, and threats is a tried and tested method for both individuals and teams.

Start by creating a desired end state or outcome and bare this in mind – any process solving model is made more effective by knowing what you are moving towards. Create a quadrant made up of the four categories of a SWOT analysis and ask participants to generate ideas based on each of those quadrants.

Once you have those ideas assembled in their quadrants, cluster them together based on their affinity with other ideas. These clusters are then used to facilitate group conversations and move things forward. 

SWOT analysis   #gamestorming   #problem solving   #action   #meeting facilitation   The SWOT Analysis is a long-standing technique of looking at what we have, with respect to the desired end state, as well as what we could improve on. It gives us an opportunity to gauge approaching opportunities and dangers, and assess the seriousness of the conditions that affect our future. When we understand those conditions, we can influence what comes next.

14. Agreement-Certainty Matrix

Not every problem-solving approach is right for every challenge, and deciding on the right method for the challenge at hand is a key part of being an effective team.

The Agreement Certainty matrix helps teams align on the nature of the challenges facing them. By sorting problems from simple to chaotic, your team can understand what methods are suitable for each problem and what they can do to ensure effective results. 

If you are already using Liberating Structures techniques as part of your problem-solving strategy, the Agreement-Certainty Matrix can be an invaluable addition to your process. We’ve found it particularly if you are having issues with recurring problems in your organization and want to go deeper in understanding the root cause. 

Agreement-Certainty Matrix   #issue analysis   #liberating structures   #problem solving   You can help individuals or groups avoid the frequent mistake of trying to solve a problem with methods that are not adapted to the nature of their challenge. The combination of two questions makes it possible to easily sort challenges into four categories: simple, complicated, complex , and chaotic .  A problem is simple when it can be solved reliably with practices that are easy to duplicate.  It is complicated when experts are required to devise a sophisticated solution that will yield the desired results predictably.  A problem is complex when there are several valid ways to proceed but outcomes are not predictable in detail.  Chaotic is when the context is too turbulent to identify a path forward.  A loose analogy may be used to describe these differences: simple is like following a recipe, complicated like sending a rocket to the moon, complex like raising a child, and chaotic is like the game “Pin the Tail on the Donkey.”  The Liberating Structures Matching Matrix in Chapter 5 can be used as the first step to clarify the nature of a challenge and avoid the mismatches between problems and solutions that are frequently at the root of chronic, recurring problems.

Organizing and charting a team’s progress can be important in ensuring its success. SQUID (Sequential Question and Insight Diagram) is a great model that allows a team to effectively switch between giving questions and answers and develop the skills they need to stay on track throughout the process. 

Begin with two different colored sticky notes – one for questions and one for answers – and with your central topic (the head of the squid) on the board. Ask the group to first come up with a series of questions connected to their best guess of how to approach the topic. Ask the group to come up with answers to those questions, fix them to the board and connect them with a line. After some discussion, go back to question mode by responding to the generated answers or other points on the board.

It’s rewarding to see a diagram grow throughout the exercise, and a completed SQUID can provide a visual resource for future effort and as an example for other teams.

SQUID   #gamestorming   #project planning   #issue analysis   #problem solving   When exploring an information space, it’s important for a group to know where they are at any given time. By using SQUID, a group charts out the territory as they go and can navigate accordingly. SQUID stands for Sequential Question and Insight Diagram.

16. Speed Boat

To continue with our nautical theme, Speed Boat is a short and sweet activity that can help a team quickly identify what employees, clients or service users might have a problem with and analyze what might be standing in the way of achieving a solution.

Methods that allow for a group to make observations, have insights and obtain those eureka moments quickly are invaluable when trying to solve complex problems.

In Speed Boat, the approach is to first consider what anchors and challenges might be holding an organization (or boat) back. Bonus points if you are able to identify any sharks in the water and develop ideas that can also deal with competitors!   

Speed Boat   #gamestorming   #problem solving   #action   Speedboat is a short and sweet way to identify what your employees or clients don’t like about your product/service or what’s standing in the way of a desired goal.

17. The Journalistic Six

Some of the most effective ways of solving problems is by encouraging teams to be more inclusive and diverse in their thinking.

Based on the six key questions journalism students are taught to answer in articles and news stories, The Journalistic Six helps create teams to see the whole picture. By using who, what, when, where, why, and how to facilitate the conversation and encourage creative thinking, your team can make sure that the problem identification and problem analysis stages of the are covered exhaustively and thoughtfully. Reporter’s notebook and dictaphone optional.

The Journalistic Six – Who What When Where Why How   #idea generation   #issue analysis   #problem solving   #online   #creative thinking   #remote-friendly   A questioning method for generating, explaining, investigating ideas.

18. LEGO Challenge

Now for an activity that is a little out of the (toy) box. LEGO Serious Play is a facilitation methodology that can be used to improve creative thinking and problem-solving skills. 

The LEGO Challenge includes giving each member of the team an assignment that is hidden from the rest of the group while they create a structure without speaking.

What the LEGO challenge brings to the table is a fun working example of working with stakeholders who might not be on the same page to solve problems. Also, it’s LEGO! Who doesn’t love LEGO! 

LEGO Challenge   #hyperisland   #team   A team-building activity in which groups must work together to build a structure out of LEGO, but each individual has a secret “assignment” which makes the collaborative process more challenging. It emphasizes group communication, leadership dynamics, conflict, cooperation, patience and problem solving strategy.

19. What, So What, Now What?

If not carefully managed, the problem identification and problem analysis stages of the problem-solving process can actually create more problems and misunderstandings.

The What, So What, Now What? problem-solving activity is designed to help collect insights and move forward while also eliminating the possibility of disagreement when it comes to identifying, clarifying, and analyzing organizational or work problems. 

Facilitation is all about bringing groups together so that might work on a shared goal and the best problem-solving strategies ensure that teams are aligned in purpose, if not initially in opinion or insight.

Throughout the three steps of this game, you give everyone on a team to reflect on a problem by asking what happened, why it is important, and what actions should then be taken. 

This can be a great activity for bringing our individual perceptions about a problem or challenge and contextualizing it in a larger group setting. This is one of the most important problem-solving skills you can bring to your organization.

W³ – What, So What, Now What?   #issue analysis   #innovation   #liberating structures   You can help groups reflect on a shared experience in a way that builds understanding and spurs coordinated action while avoiding unproductive conflict. It is possible for every voice to be heard while simultaneously sifting for insights and shaping new direction. Progressing in stages makes this practical—from collecting facts about What Happened to making sense of these facts with So What and finally to what actions logically follow with Now What . The shared progression eliminates most of the misunderstandings that otherwise fuel disagreements about what to do. Voila!

20. Journalists  

Problem analysis can be one of the most important and decisive stages of all problem-solving tools. Sometimes, a team can become bogged down in the details and are unable to move forward.

Journalists is an activity that can avoid a group from getting stuck in the problem identification or problem analysis stages of the process.

In Journalists, the group is invited to draft the front page of a fictional newspaper and figure out what stories deserve to be on the cover and what headlines those stories will have. By reframing how your problems and challenges are approached, you can help a team move productively through the process and be better prepared for the steps to follow.

Journalists   #vision   #big picture   #issue analysis   #remote-friendly   This is an exercise to use when the group gets stuck in details and struggles to see the big picture. Also good for defining a vision.

Problem-solving techniques for developing solutions 

The success of any problem-solving process can be measured by the solutions it produces. After you’ve defined the issue, explored existing ideas, and ideated, it’s time to narrow down to the correct solution.

Use these problem-solving techniques when you want to help your team find consensus, compare possible solutions, and move towards taking action on a particular problem.

• Improved Solutions
• Four-Step Sketch
• 15% Solutions
• How-Now-Wow matrix
• Impact Effort Matrix

21. Mindspin  

Brainstorming is part of the bread and butter of the problem-solving process and all problem-solving strategies benefit from getting ideas out and challenging a team to generate solutions quickly. 

With Mindspin, participants are encouraged not only to generate ideas but to do so under time constraints and by slamming down cards and passing them on. By doing multiple rounds, your team can begin with a free generation of possible solutions before moving on to developing those solutions and encouraging further ideation. 

This is one of our favorite problem-solving activities and can be great for keeping the energy up throughout the workshop. Remember the importance of helping people become engaged in the process – energizing problem-solving techniques like Mindspin can help ensure your team stays engaged and happy, even when the problems they’re coming together to solve are complex. 

MindSpin   #teampedia   #idea generation   #problem solving   #action   A fast and loud method to enhance brainstorming within a team. Since this activity has more than round ideas that are repetitive can be ruled out leaving more creative and innovative answers to the challenge.

22. Improved Solutions

After a team has successfully identified a problem and come up with a few solutions, it can be tempting to call the work of the problem-solving process complete. That said, the first solution is not necessarily the best, and by including a further review and reflection activity into your problem-solving model, you can ensure your group reaches the best possible result. 

One of a number of problem-solving games from Thiagi Group, Improved Solutions helps you go the extra mile and develop suggested solutions with close consideration and peer review. By supporting the discussion of several problems at once and by shifting team roles throughout, this problem-solving technique is a dynamic way of finding the best solution. 

Improved Solutions   #creativity   #thiagi   #problem solving   #action   #team   You can improve any solution by objectively reviewing its strengths and weaknesses and making suitable adjustments. In this creativity framegame, you improve the solutions to several problems. To maintain objective detachment, you deal with a different problem during each of six rounds and assume different roles (problem owner, consultant, basher, booster, enhancer, and evaluator) during each round. At the conclusion of the activity, each player ends up with two solutions to her problem.

23. Four Step Sketch

Creative thinking and visual ideation does not need to be confined to the opening stages of your problem-solving strategies. Exercises that include sketching and prototyping on paper can be effective at the solution finding and development stage of the process, and can be great for keeping a team engaged. 

By going from simple notes to a crazy 8s round that involves rapidly sketching 8 variations on their ideas before then producing a final solution sketch, the group is able to iterate quickly and visually. Problem-solving techniques like Four-Step Sketch are great if you have a group of different thinkers and want to change things up from a more textual or discussion-based approach.

Four-Step Sketch   #design sprint   #innovation   #idea generation   #remote-friendly   The four-step sketch is an exercise that helps people to create well-formed concepts through a structured process that includes: Review key information Start design work on paper,  Consider multiple variations , Create a detailed solution . This exercise is preceded by a set of other activities allowing the group to clarify the challenge they want to solve. See how the Four Step Sketch exercise fits into a Design Sprint

24. 15% Solutions

Some problems are simpler than others and with the right problem-solving activities, you can empower people to take immediate actions that can help create organizational change. 

Part of the liberating structures toolkit, 15% solutions is a problem-solving technique that focuses on finding and implementing solutions quickly. A process of iterating and making small changes quickly can help generate momentum and an appetite for solving complex problems.

Problem-solving strategies can live and die on whether people are onboard. Getting some quick wins is a great way of getting people behind the process.   

It can be extremely empowering for a team to realize that problem-solving techniques can be deployed quickly and easily and delineate between things they can positively impact and those things they cannot change. 

15% Solutions   #action   #liberating structures   #remote-friendly   You can reveal the actions, however small, that everyone can do immediately. At a minimum, these will create momentum, and that may make a BIG difference.  15% Solutions show that there is no reason to wait around, feel powerless, or fearful. They help people pick it up a level. They get individuals and the group to focus on what is within their discretion instead of what they cannot change.  With a very simple question, you can flip the conversation to what can be done and find solutions to big problems that are often distributed widely in places not known in advance. Shifting a few grains of sand may trigger a landslide and change the whole landscape.

25. How-Now-Wow Matrix

The problem-solving process is often creative, as complex problems usually require a change of thinking and creative response in order to find the best solutions. While it’s common for the first stages to encourage creative thinking, groups can often gravitate to familiar solutions when it comes to the end of the process. 

When selecting solutions, you don’t want to lose your creative energy! The How-Now-Wow Matrix from Gamestorming is a great problem-solving activity that enables a group to stay creative and think out of the box when it comes to selecting the right solution for a given problem.

Problem-solving techniques that encourage creative thinking and the ideation and selection of new solutions can be the most effective in organisational change. Give the How-Now-Wow Matrix a go, and not just for how pleasant it is to say out loud. 

How-Now-Wow Matrix   #gamestorming   #idea generation   #remote-friendly   When people want to develop new ideas, they most often think out of the box in the brainstorming or divergent phase. However, when it comes to convergence, people often end up picking ideas that are most familiar to them. This is called a ‘creative paradox’ or a ‘creadox’. The How-Now-Wow matrix is an idea selection tool that breaks the creadox by forcing people to weigh each idea on 2 parameters.

26. Impact and Effort Matrix

All problem-solving techniques hope to not only find solutions to a given problem or challenge but to find the best solution. When it comes to finding a solution, groups are invited to put on their decision-making hats and really think about how a proposed idea would work in practice. 

The Impact and Effort Matrix is one of the problem-solving techniques that fall into this camp, empowering participants to first generate ideas and then categorize them into a 2×2 matrix based on impact and effort.

Activities that invite critical thinking while remaining simple are invaluable. Use the Impact and Effort Matrix to move from ideation and towards evaluating potential solutions before then committing to them. 

Impact and Effort Matrix   #gamestorming   #decision making   #action   #remote-friendly   In this decision-making exercise, possible actions are mapped based on two factors: effort required to implement and potential impact. Categorizing ideas along these lines is a useful technique in decision making, as it obliges contributors to balance and evaluate suggested actions before committing to them.

27. Dotmocracy

If you’ve followed each of the problem-solving steps with your group successfully, you should move towards the end of your process with heaps of possible solutions developed with a specific problem in mind. But how do you help a group go from ideation to putting a solution into action? 

Dotmocracy – or Dot Voting -is a tried and tested method of helping a team in the problem-solving process make decisions and put actions in place with a degree of oversight and consensus. 

One of the problem-solving techniques that should be in every facilitator’s toolbox, Dot Voting is fast and effective and can help identify the most popular and best solutions and help bring a group to a decision effectively. 

Dotmocracy   #action   #decision making   #group prioritization   #hyperisland   #remote-friendly   Dotmocracy is a simple method for group prioritization or decision-making. It is not an activity on its own, but a method to use in processes where prioritization or decision-making is the aim. The method supports a group to quickly see which options are most popular or relevant. The options or ideas are written on post-its and stuck up on a wall for the whole group to see. Each person votes for the options they think are the strongest, and that information is used to inform a decision.

All facilitators know that warm-ups and icebreakers are useful for any workshop or group process. Problem-solving workshops are no different.

Use these problem-solving techniques to warm up a group and prepare them for the rest of the process. Activating your group by tapping into some of the top problem-solving skills can be one of the best ways to see great outcomes from your session.

• Check-in/Check-out
• Doodling Together
• Show and Tell
• Constellations
• Draw a Tree

28. Check-in / Check-out

Solid processes are planned from beginning to end, and the best facilitators know that setting the tone and establishing a safe, open environment can be integral to a successful problem-solving process.

Check-in / Check-out is a great way to begin and/or bookend a problem-solving workshop. Checking in to a session emphasizes that everyone will be seen, heard, and expected to contribute. 

If you are running a series of meetings, setting a consistent pattern of checking in and checking out can really help your team get into a groove. We recommend this opening-closing activity for small to medium-sized groups though it can work with large groups if they’re disciplined!

Check-in / Check-out   #team   #opening   #closing   #hyperisland   #remote-friendly   Either checking-in or checking-out is a simple way for a team to open or close a process, symbolically and in a collaborative way. Checking-in/out invites each member in a group to be present, seen and heard, and to express a reflection or a feeling. Checking-in emphasizes presence, focus and group commitment; checking-out emphasizes reflection and symbolic closure.

29. Doodling Together  

Thinking creatively and not being afraid to make suggestions are important problem-solving skills for any group or team, and warming up by encouraging these behaviors is a great way to start. 

Doodling Together is one of our favorite creative ice breaker games – it’s quick, effective, and fun and can make all following problem-solving steps easier by encouraging a group to collaborate visually. By passing cards and adding additional items as they go, the workshop group gets into a groove of co-creation and idea development that is crucial to finding solutions to problems. 

Doodling Together   #collaboration   #creativity   #teamwork   #fun   #team   #visual methods   #energiser   #icebreaker   #remote-friendly   Create wild, weird and often funny postcards together & establish a group’s creative confidence.

30. Show and Tell

You might remember some version of Show and Tell from being a kid in school and it’s a great problem-solving activity to kick off a session.

Asking participants to prepare a little something before a workshop by bringing an object for show and tell can help them warm up before the session has even begun! Games that include a physical object can also help encourage early engagement before moving onto more big-picture thinking.

By asking your participants to tell stories about why they chose to bring a particular item to the group, you can help teams see things from new perspectives and see both differences and similarities in the way they approach a topic. Great groundwork for approaching a problem-solving process as a team! 

Show and Tell   #gamestorming   #action   #opening   #meeting facilitation   Show and Tell taps into the power of metaphors to reveal players’ underlying assumptions and associations around a topic The aim of the game is to get a deeper understanding of stakeholders’ perspectives on anything—a new project, an organizational restructuring, a shift in the company’s vision or team dynamic.

31. Constellations

Who doesn’t love stars? Constellations is a great warm-up activity for any workshop as it gets people up off their feet, energized, and ready to engage in new ways with established topics. It’s also great for showing existing beliefs, biases, and patterns that can come into play as part of your session.

Using warm-up games that help build trust and connection while also allowing for non-verbal responses can be great for easing people into the problem-solving process and encouraging engagement from everyone in the group. Constellations is great in large spaces that allow for movement and is definitely a practical exercise to allow the group to see patterns that are otherwise invisible. 

Constellations   #trust   #connection   #opening   #coaching   #patterns   #system   Individuals express their response to a statement or idea by standing closer or further from a central object. Used with teams to reveal system, hidden patterns, perspectives.

32. Draw a Tree

Problem-solving games that help raise group awareness through a central, unifying metaphor can be effective ways to warm-up a group in any problem-solving model.

Draw a Tree is a simple warm-up activity you can use in any group and which can provide a quick jolt of energy. Start by asking your participants to draw a tree in just 45 seconds – they can choose whether it will be abstract or realistic. 

Once the timer is up, ask the group how many people included the roots of the tree and use this as a means to discuss how we can ignore important parts of any system simply because they are not visible.

All problem-solving strategies are made more effective by thinking of problems critically and by exposing things that may not normally come to light. Warm-up games like Draw a Tree are great in that they quickly demonstrate some key problem-solving skills in an accessible and effective way.

Draw a Tree   #thiagi   #opening   #perspectives   #remote-friendly   With this game you can raise awarness about being more mindful, and aware of the environment we live in.

Each step of the problem-solving workshop benefits from an intelligent deployment of activities, games, and techniques. Bringing your session to an effective close helps ensure that solutions are followed through on and that you also celebrate what has been achieved.

Here are some problem-solving activities you can use to effectively close a workshop or meeting and ensure the great work you’ve done can continue afterward.

• One Breath Feedback
• Who What When Matrix
• Response Cards

How do I conclude a problem-solving process?

All good things must come to an end. With the bulk of the work done, it can be tempting to conclude your workshop swiftly and without a moment to debrief and align. This can be problematic in that it doesn’t allow your team to fully process the results or reflect on the process.

At the end of an effective session, your team will have gone through a process that, while productive, can be exhausting. It’s important to give your group a moment to take a breath, ensure that they are clear on future actions, and provide short feedback before leaving the space. 

The primary purpose of any problem-solving method is to generate solutions and then implement them. Be sure to take the opportunity to ensure everyone is aligned and ready to effectively implement the solutions you produced in the workshop.

Remember that every process can be improved and by giving a short moment to collect feedback in the session, you can further refine your problem-solving methods and see further success in the future too.

33. One Breath Feedback

Maintaining attention and focus during the closing stages of a problem-solving workshop can be tricky and so being concise when giving feedback can be important. It’s easy to incur “death by feedback” should some team members go on for too long sharing their perspectives in a quick feedback round. 

One Breath Feedback is a great closing activity for workshops. You give everyone an opportunity to provide feedback on what they’ve done but only in the space of a single breath. This keeps feedback short and to the point and means that everyone is encouraged to provide the most important piece of feedback to them. 

One breath feedback   #closing   #feedback   #action   This is a feedback round in just one breath that excels in maintaining attention: each participants is able to speak during just one breath … for most people that’s around 20 to 25 seconds … unless of course you’ve been a deep sea diver in which case you’ll be able to do it for longer.

34. Who What When Matrix 

Matrices feature as part of many effective problem-solving strategies and with good reason. They are easily recognizable, simple to use, and generate results.

The Who What When Matrix is a great tool to use when closing your problem-solving session by attributing a who, what and when to the actions and solutions you have decided upon. The resulting matrix is a simple, easy-to-follow way of ensuring your team can move forward. 

Great solutions can’t be enacted without action and ownership. Your problem-solving process should include a stage for allocating tasks to individuals or teams and creating a realistic timeframe for those solutions to be implemented or checked out. Use this method to keep the solution implementation process clear and simple for all involved. 

Who/What/When Matrix   #gamestorming   #action   #project planning   With Who/What/When matrix, you can connect people with clear actions they have defined and have committed to.

35. Response cards

Group discussion can comprise the bulk of most problem-solving activities and by the end of the process, you might find that your team is talked out! 

Providing a means for your team to give feedback with short written notes can ensure everyone is head and can contribute without the need to stand up and talk. Depending on the needs of the group, giving an alternative can help ensure everyone can contribute to your problem-solving model in the way that makes the most sense for them.

Response Cards is a great way to close a workshop if you are looking for a gentle warm-down and want to get some swift discussion around some of the feedback that is raised. 

Response Cards   #debriefing   #closing   #structured sharing   #questions and answers   #thiagi   #action   It can be hard to involve everyone during a closing of a session. Some might stay in the background or get unheard because of louder participants. However, with the use of Response Cards, everyone will be involved in providing feedback or clarify questions at the end of a session.

Save time and effort discovering the right solutions

A structured problem solving process is a surefire way of solving tough problems, discovering creative solutions and driving organizational change. But how can you design for successful outcomes?

With SessionLab, it’s easy to design engaging workshops that deliver results. Drag, drop and reorder blocks  to build your agenda. When you make changes or update your agenda, your session  timing   adjusts automatically , saving you time on manual adjustments.

Collaborating with stakeholders or clients? Share your agenda with a single click and collaborate in real-time. No more sending documents back and forth over email.

Explore  how to use SessionLab  to design effective problem solving workshops or  watch this five minute video  to see the planner in action!

Over to you

The problem-solving process can often be as complicated and multifaceted as the problems they are set-up to solve. With the right problem-solving techniques and a mix of creative exercises designed to guide discussion and generate purposeful ideas, we hope we’ve given you the tools to find the best solutions as simply and easily as possible.

Is there a problem-solving technique that you are missing here? Do you have a favorite activity or method you use when facilitating? Let us know in the comments below, we’d love to hear from you! 

thank you very much for these excellent techniques

Certainly wonderful article, very detailed. Shared!

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How to Improve Your Critical Thinking Skills

Traditional tools and new technologies..

Posted September 29, 2023 | Reviewed by Lybi Ma

Technology provides access to vast information and makes daily life easier. Yet, too much reliance on technology potentially interferes with the acquisition and maintenance of critical thinking skills in several ways:

1. Information Overload : The constant influx of data can discourage deep critical thinking as we may come to rely on quick, surface-level information rather than delving deeply into a subject.

2. Shortened Attention Span: Frequent digital distractions can disrupt our ability for the sustained focus and concentration required for critical thinking.

3. Confirmatory Bias and Echo Chambers: Technology, including social media and personalized content algorithms, can reinforce confirmation bias . People are often exposed to information that aligns with their beliefs and opinions, making them less likely to encounter diverse perspectives and engage in critical thinking about opposing views.

4. Reduced Problem-Solving Opportunities: Technology often provides quick solutions to problems. While this benefits efficiency, it may discourage individuals from engaging in complex problem-solving, a fundamental aspect of critical thinking.

5. Loss of Research Skills: The ease of accessing information online can diminish traditional research skills, such as library research or in-depth reading. These skills are essential for critical thinking, as they involve evaluating sources, synthesizing information, and analyzing complex texts.

While technology can pose challenges to developing critical thinking skills, it's important to note that technology can also be a valuable tool for learning and skill development. It can provide access to educational resources, facilitate collaboration , and support critical thinking when used thoughtfully and intentionally. Balancing technology use with activities that encourage deep thinking and analysis is vital to lessening its potential adverse effects on critical thinking.

Writing is a traditional and powerful tool to exercise and improve your critical thinking skills. Consider these ways writing can help enhance critical thinking:

1. Clarity of Thought: Writing requires that you articulate your thoughts clearly and coherently. When you need to put your ideas on paper, you must organize them logically, which requires a deeper understanding of the subject matter.

2. Analysis and Evaluation: Critical thinking involves analyzing and evaluating information. When you write, you often need to assess the validity and relevance of different sources, arguments, or pieces of evidence, which hone your critical thinking skills.

3. Problem-Solving: Writing can be a problem-solving exercise in itself. Whether crafting an argument, developing a thesis, or finding the right words to express your ideas, writing requires thinking critically about approaching these challenges effectively.

4. Research Skills: Good writing often involves research, and research requires critical thinking. You need to assess the credibility of sources, synthesize information, and draw conclusions based on the evidence you gather.

5. Argumentation: Constructing a persuasive argument in writing is a complex process requiring critical thinking. You must anticipate counterarguments, provide evidence to support your claims, and address potential weaknesses in your reasoning.

6. Revision and Editing: To be an influential writer, you must learn to read your work critically. Editing and revising requires evaluating your writing objectively, identifying areas that need improvement, and refining your ideas and arguments.

7. Problem Identification: In some cases, writing can help you identify problems or gaps in your thinking. As you write, you might realize that your arguments are not as strong as you initially thought or that you need more information to support your claims. This recognition of limitations is a crucial aspect of critical thinking.

Writing is a dynamic process that engages multiple facets of critical thinking. It has been a valuable tool used in education , business, and personal development for centuries.

Yet, this traditional approach of self-generated written thoughts is rapidly being supplanted by AI -generated writing tools like Chat GPT (Generative Pre-trained Transformer. With over 100 million users of Chat GPT alone, we cannot ignore its potential impact. How might the increasing reliance on AI-generated writing tools influence our critical thinking skills? The impact can vary depending on how the tools are used and the context in which they are employed.

Critical thinking involves evaluating information sources for credibility, relevance, and bias. If individuals consistently trust the information provided by chatbots without critically assessing its quality, it can hinder their development of critical thinking skills. This is especially true if they depend on the chatbot to provide answers without questioning or verifying the information. Relying solely on chatbots for answers may also reduce people's effort in problem-solving. Critical thinking often requires wrestling with complex problems, considering multiple perspectives, and generating creative solutions. If we default to chatbots for quick answers, we may miss opportunities to develop these skills.

However, it's essential to note that the impact of chatbots on critical thinking skills may not be entirely negative. These tools can also have positive effects:

1. Chatbots provide quick access to vast information, which can benefit research and problem-solving. When used as a supplement to critical thinking, they can enhance the efficiency of information retrieval.

2. Chatbots can sometimes assist in complex tasks by providing relevant data or suggestions. When individuals critically evaluate and integrate this information into their decision-making process, it can enhance their critical thinking.

3. Chatbots can be used as learning aids. They can provide explanations, examples, and guidance, which can support skill development and, when used effectively, encourage critical thinking.

In summary, the impact of chatbots on critical thinking skills depends on how we use them. The effect will be harmful if they become a crutch to avoid independent thought or analysis. However, they can be valuable resources when used as tools to facilitate and augment critical thinking and writing processes. Individuals must balance leveraging the convenience of chatbots and actively engaging in independent critical thinking and problem-solving to maintain and enhance their cognitive abilities. You can do that effectively through writing regularly.

Copyright 2023 Tara Well, PhD

Tara Well, Ph.D. , is a professor in the department of psychology at Barnard College of Columbia University.

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How to Improve Problem-Solving Skills: Mathematics and Critical Thinking

In today’s rapidly changing world, problem-solving has become a quintessential skill. When we discuss the topic, it’s natural to ask, “What is problem-solving?” and “How can we enhance this skill, particularly in children?” The discipline of mathematics offers a rich platform to explore these questions. Through math, not only do we delve into numbers and equations, but we also explore how to improve problem-solving skills and how to develop critical thinking skills in math. Let’s embark on this enlightening journey together.

What is Problem-Solving?

At its core, problem-solving involves identifying a challenge and finding a solution. But it’s not always as straightforward as it sounds. So, what is problem-solving? True problem-solving requires a combination of creative thinking and logical reasoning. Mathematics, in many ways, embodies this blend. When a student approaches a math problem, they must discern the issue at hand, consider various methods to tackle it, and then systematically execute their chosen strategy.

But what is problem-solving in a broader context? It’s a life skill. Whether we’re deciding the best route to a destination, determining how to save for a big purchase, or even figuring out how to fix a broken appliance, we’re using problem-solving.

How to Develop Critical Thinking Skills in Math

Critical thinking goes hand in hand with problem-solving. But exactly how to develop critical thinking skills in math might not be immediately obvious. Here are a few strategies:

• Contextual Learning: Teaching math within a story or real-life scenario makes it relevant. When students see math as a tool to navigate the world around them, they naturally begin to think critically about solutions.
• Open-ended Questions: Instead of merely seeking the “right” answer, encourage students to explain their thought processes. This nudges them to think deeply about their approach.
• Group Discussions: Collaborative learning can foster different perspectives, prompting students to consider multiple ways to solve a problem.
• Challenging Problems: Occasionally introducing problems that are a bit beyond a student’s current skill level can stimulate critical thinking. They will have to stretch their understanding and think outside the box.

What are the Six Basic Steps of the Problem-Solving Process?

Understanding how to improve problem-solving skills often comes down to familiarizing oneself with the systematic approach to challenges. So, what are the six basic steps of the problem-solving process?

• Identification: Recognize and define the problem.
• Analysis: Understand the problem’s intricacies and nuances.
• Generation of Alternatives: Think of different ways to approach the challenge.
• Decision Making: Choose the most suitable method to address the problem.
• Implementation: Put the chosen solution into action.
• Evaluation: Reflect on the solution’s effectiveness and learn from the outcome.

By embedding these steps into mathematical education, we provide students with a structured framework. When they wonder about how to improve problem-solving skills or how to develop critical thinking skills in math, they can revert to this process, refining their approach with each new challenge.

Making Math Fun and Relevant

At Wonder Math, we believe that the key to developing robust problem-solving skills lies in making math enjoyable and pertinent. When students see math not just as numbers on a page but as a captivating story or a real-world problem to be solved, their engagement skyrockets. And with heightened engagement comes enhanced understanding.

As educators and parents, it’s crucial to continuously ask ourselves: how can we demonstrate to our children what problem-solving is? How can we best teach them how to develop critical thinking skills in math? And how can we instill in them an understanding of the six basic steps of the problem-solving process?

The answer, we believe, lies in active learning, contextual teaching, and a genuine passion for the beauty of mathematics.

The Underlying Beauty of Mathematics

Often, people perceive mathematics as a rigid discipline confined to numbers and formulas. However, this is a limited view. Math, in essence, is a language that describes patterns, relationships, and structures. It’s a medium through which we can communicate complex ideas, describe our universe, and solve intricate problems. Understanding this deeper beauty of math can further emphasize how to develop critical thinking skills in math.

Why Mathematics is the Ideal Playground for Problem-Solving

Math provides endless opportunities for problem-solving. From basic arithmetic puzzles to advanced calculus challenges, every math problem offers a chance to hone our problem-solving skills. But why is mathematics so effective in this regard?

• Structured Challenges: Mathematics presents problems in a structured manner, allowing learners to systematically break them down. This format mimics real-world scenarios where understanding the structure of a challenge can be half the battle.
• Multiple Approaches: Most math problems can be approached in various ways . This teaches learners flexibility in thinking and the ability to view a single issue from multiple angles.
• Immediate Feedback: Unlike many real-world problems where solutions might take time to show results, in math, students often get immediate feedback. They can quickly gauge if their approach works or if they need to rethink their strategy.

Enhancing the Learning Environment

To genuinely harness the power of mathematics in developing problem-solving skills, the learning environment plays a crucial role. A student who is afraid of making mistakes will hesitate to try out different approaches, stunting their critical thinking growth.

However, in a nurturing, supportive environment where mistakes are seen as learning opportunities, students thrive. They become more willing to take risks, try unconventional solutions, and learn from missteps. This mindset, where failure is not feared but embraced as a part of the learning journey, is pivotal for developing robust problem-solving skills.

Incorporating Technology

In our digital age, technology offers innovative ways to explore math. Interactive apps and online platforms can provide dynamic problem-solving scenarios, making the process even more engaging. These tools can simulate real-world challenges, allowing students to apply their math skills in diverse contexts, further answering the question of how to improve problem-solving skills.

More than Numbers 

In summary, mathematics is more than just numbers and formulas—it’s a world filled with challenges, patterns, and beauty. By understanding its depth and leveraging its structured nature, we can provide learners with the perfect platform to develop critical thinking and problem-solving skills. The key lies in blending traditional techniques with modern tools, creating a holistic learning environment that fosters growth, curiosity, and a lifelong love for learning.

Join us on this transformative journey at Wonder Math. Let’s make math an adventure, teaching our children not just numbers and equations, but also how to improve problem-solving skills and navigate the world with confidence. Enroll your child today and witness the magic of mathematics unfold before your eyes!

FAQ: Mathematics and Critical Thinking

1. what is problem-solving in the context of mathematics.

Problem-solving in mathematics refers to the process of identifying a mathematical challenge and systematically working through methods and strategies to find a solution.

2. Why is math considered a good avenue for developing problem-solving skills?

Mathematics provides structured challenges and allows for multiple approaches to find solutions. This promotes flexibility in thinking and encourages learners to view problems from various angles.

3. How does contextual learning enhance problem-solving abilities?

By teaching math within a story or real-life scenario, it becomes more relevant for the learner. This helps them see math as a tool to navigate real-world challenges , thereby promoting critical thinking.

4. What are the six basic steps of the problem-solving process in math?

The six steps are: Identification, Analysis, Generation of Alternatives, Decision Making, Implementation, and Evaluation.

5. How can parents support their children in developing mathematical problem-solving skills?

Parents can provide real-life contexts for math problems , encourage open discussions about different methods, and ensure a supportive environment where mistakes are seen as learning opportunities.

6. Are there any tools or apps that can help in enhancing problem-solving skills in math?

Yes, there are various interactive apps and online platforms designed specifically for math learning. These tools provide dynamic problem-solving scenarios and simulate real-world challenges, making the learning process engaging.

7. How does group discussion foster critical thinking in math?

Group discussions allow students to hear different perspectives and approaches to a problem. This can challenge their own understanding and push them to think about alternative methods.

8. Is it necessary to always follow the six steps of the problem-solving process sequentially?

While the six steps provide a structured approach, real-life problem-solving can sometimes be more fluid. It’s beneficial to know the steps, but adaptability and responsiveness to the situation are also crucial.

9. How does Wonder Math incorporate active learning in teaching mathematics?

Wonder Math integrates mathematics within engaging stories and real-world scenarios, making it fun and relevant. This active learning approach ensures that students are not just passive recipients but active participants in the learning process.

10. What if my child finds a math problem too challenging and becomes demotivated?

It’s essential to create a supportive environment where challenges are seen as growth opportunities. Remind them that every problem is a chance to learn, and it’s okay to seek help or approach it differently.

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6 Strategies for Increasing Critical Thinking with Problem Solving

By Mary Montero

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For many teachers, problem-solving feels synonymous with word problems, but it is so much more. That’s why I’m sharing my absolute favorite lessons and strategies for increasing critical thinking through problem solving below. You’ll learn six strategies for increasing critical thinking through mathematical word problems, the importance of incorporating error analysis into your weekly routines,  and several resources I use for improving critical thinking – almost all of which are free! I’ll also briefly touch on teaching students to dissect word problems in a way that enables them to truly understand what steps to take to solve the problem.

This post is based on my short and sweet (and FREE!) Increasing Critical Thinking with problem Solving math mini-course . When you enroll in the free course you’ll get access to everything you need to get started:

• Problem Solving Essentials
• Six lessons to implement into your classroom
• How to Implement Error Analysis
• FREE Error Analysis Starter Kit
• FREE Mathematician Posters
• FREE Multi-Step Problem Solving Starter Kit
• FREE Task Card Starter Kit

Introduction to Critical Thinking and Problem Solving

According to the National Council of Teachers of Mathematics, “The term “problem solving” refers to mathematical tasks that have the potential to provide intellectual challenges for enhancing students’ mathematical understanding and development .)”

That’s a lot of words, but I’d like to focus in on the word POTENTIAL. I’m going to share with you strategies that move these tasks from having the potential to provide a challenge to actually providing that challenge that will enrich their mathematical understanding and development. 

If you’re looking for an introduction to multi-step problem solving, I have a free multi-step problem solving starter kit for that! 

I also highly encourage you to download and use my free Mathematician posters that help students see what their “jobs” are as mathematicians. Giving students this title of mathematician not only holds them accountable, but it gives them greater confidence and gives me very specific verbiage to use when discussing math with my students. 

The impacts of Incorporating Problem Solving

When I made the shift to incorporate problem solving into my everyday instruction intentionally, I saw a distinct increase in student understanding and application of mathematical concepts, more authentic connections to real-world mathematics scenarios, greater student achievement, and notably increased engagement. There are also ripple effects observed in other areas, as students learn grit and a growth mindset after tackling some more challenging problem-solving situations. I hope that by implementing some of these ideas, you see the very same shift.

Here’s an overview of some problem solving essentials I use to teach students to solve problems.

Routine vs. Non-Routine Problem Solving

Routine problems comprise the vast majority of the word problems we pose to students. They require using an algorithm through one or more of the four major operations, have relevance to real-world situations, and often have a distinct answer. They are solvable, and students can use several concrete strategies for solving, like “make a table” or “draw a picture” to solve.

Conversely, non-routine problem-solving focuses on mathematical reasoning. These are often more open-ended and allow students to make generalizations about math and numbers. There isn’t usually a straight path leading to the answer, there isn’t an algorithm readily available for finding the solution (or students are going to have to come up with the algorithm), and it IS going to require some level of experimentation and manipulation of numbers in order to solve it. In non-routine problems, students learn to look for patterns, work backwards, build models, etc. 

Incorporating both routine and non-routine problems into your instruction for EVERY student is critical. When solving non-routine problems, students can use some of the strategies they’ve learned for solving routine problems, and when solving routine problems, students benefit from a deeper understanding of the complexity of numbers that they gained from non-routine problems. For this training, we will focus heavily on routine problems, though the impacts of these practices will transition into non-routine problem solving.

Increasing Critical Thinking in Problem Solving

When tackling a problem, students need to be able to determine WHAT to do and HOW to do it.  Knowing the HOW is what you likely teach every day – your students know how to add, subtract, multiply, and divide. But knowing WHAT to do is arguably the most essential part of solving problems – once students know what needs to be done, then they can apply the conceptual skills – the algorithms and strategies – they’ve learned and will know how to solve. While dissecting word problems is an excellent starting point, exposing students to various ways to examine problems can help them figure out the WHAT. 

Being faced with a lengthy, complex word problem can be intimidating to even your most adept students. Having a toolbox of strategies to use when you tackle problems and seeing problems in various ways can enable students to get to the point where they feel comfortable knowing where to begin.

Shifting away from keywords

While it isn’t best practice to rely solely on operation “keywords” to determine what operation needs to occur when solving a problem, I’m not ready to fully ditch keyword-based instruction in math. I think there’s a huge difference between teaching students to blindly rely on keywords to determine which operation to use for a solution and using words found in the text to guide students in figuring out what to do. For that reason, I place heavy emphasis on using precise mathematical vocabulary , including specific operation keywords, and when students become accustomed to using that precise mathematical vocabulary every day, it really helps them to identify that language in word problems as well.

I also allow my students to dissect math word problems using strategies like CUBES , but in a way that is more aligned with best practice. 

Six Lessons for Easy Implementation

Here are six super quick “outside the box” word problem, problem solving lessons to begin implementing into your classroom. These lessons shouldn’t replace your everyday problem solving, but are instead extensions that will help students tackle those tricky problems they encounter everyday. As a reminder, we look at all of these lessons in the FREE Increasing Critical Thinking with problem Solving math mini-course .

Lesson #1: What’s the Question?

In this lesson, we’ll encourage students to see. just how many different questions can be asked about the same statements or information. We start with a typical, one-step, one-operation problem. Then we cross out or cover up the answer and ask students to generate possible questions.

After students have come up with a variety of questions, ask them to determine HOW they would solve for each one.

Reveal the question and ask students how they would solve this one and see if any of the questions they came up with match.

This activity is important because it demonstrates to students just how many different questions can be asked about the same statement or information. It’s perfect for your students who automatically pick out numbers and start “operating” on them blindly. I’ve had students come up with 5-8 questions with a single statement!

I like to do this throughout the year using different word problems based on the skill we’re focused on at the time AND skills we’ve previously mastered, but be careful not to only use examples based on the skill you’re teaching right then so their brains don’t automatically go to the same place.

These 32 What’s My Operation? task cards will help your student learn and review which operations to use for different types of word problems! They’re perfect to use as a quick assessment, game of SCOOT, math center activity, or homework.

Lesson 2: Similar Scenarios

In this lesson, students will evaluate similar scenarios to determine the appropriate operations. Start with three similar scenarios requiring different operations and identify what situation is happening in each scenario (finding total, determining an amount, splitting or combining, etc.).

Read all three-word problems on a similar topic. Determine the similarity of all of them and determine which operation would be used to solve them. How does the situation/action of the problem help you determine what step to take?

I also created these differentiated word problem task cards after noticing my students struggling with which operation to choose, especially when given multiple problems from a similar scenario. They encourage students to select the appropriate operation for each word problem.

Lesson 3: Opposing Operations

In this lesson, students will determine relevant information from a set of facts, which requires a great deal of critical thinking to determine which operation to use. Give students a scenario and a variety of facts/information relating to the scenario as well as several questions to answer based on the facts . Students will focus on determining HOW they will solve each question using only the relevant information. 

These Operation Fascination task c ards engage students in critical thinking about operations. Each card has a scenario, multiple clues and facts to support the scenario, and four questions to accompany each scenario. The questions are a variety of operations so that students can see how using the same information can solve multiple problems.

Lesson 4: Next Level Numberless

In this lesson, we’ll take numberless word problems to the next level by developing a strong conceptual understanding of word problems. Give students scenarios without numbers and have them write a question and/or insert numbers using a specific operation and purpose . This requires a great deal of thinking to not only determine the situation, but to also figure out numbers that fit into the situation in a way that makes sense.

By integrating these types of math problems into your daily lessons, you can significantly enhance your students’ comprehension of word problems and problem-solving. These numberless word problem task cards are the ideal to improve your students’ critical thinking and problem-solving skills. They offer a variety of numbered and numberless word problems.

Lesson 5: Story Situations

In this lesson, we’ll discuss the importance of students generating their own word problems with a given set of information. This requires a great deal of quantitative reasoning as students determine how they would use a given set of numbers to create a realistic situation. Present students with two predetermined numbers and a theme. Then have students write a word problem, including a question, using the given information. 

Engage your students in additional practice with these differentiated division task cards that require your students to write their OWN word problems (and create real-world relevance in their learning!). Each task card has numbers and a theme that students use to guide their thinking and creation of a word problem.

Lesson 6: No Scenario Solving

In this lesson, we’ll decontextualize problem solving and require students to create the situation, represent it numerically, and solve. It’s a cognitively demanding task! Give students an operation and a purpose (joining, separating, comparing, etc.) with no other context, numbers, numbers, or theme. Then have students generate a word problem.

For additional practice, have students swap problems to identify the operation, purpose, and solution.

Implementing Error Analysis

Error analysis is an exceptional way to promote thinking and learning, but how do we teach students to figure out which type of math error they’ve made? This error analysis starter kit can help!

First, it is very rare that I will tell my students what error they have made in their work. I want to challenge them to figure it out on their own. So, when I see that they have a wrong answer, I ask them to go back and figure out where something went wrong. Because I resist the urge to tell them right away where their error is, my students tend to get a lot more practice identifying them!

Second, when I introduce a concept, I always, always, always create anchor charts with students and complete interactive notebook activities with them so that they have step-by-step procedures for completing tasks right at their fingertips. I have them go back and reference their notebooks while they are looking at their errors.  Usually, they can follow the anchor chart step-by-step to make sure they haven’t made a conceptual error, and if they have, they can identify it.

Third, I let them use a calculator. When worst comes to worst, and they are fairly certain they haven’t made a conceptual mistake to identify, I let them get out a calculator and start computing, step-by-step to see where they’ve made a mistake.

IF, after taking these steps, a student can’t figure out their mistake (especially if I find that it’s a conceptual mistake), I know I need to go back and do some individual reteaching with them because they don’t have a solid understanding of the concept.

This FREE addition error analysis is a good place to start, no matter the grade level. I show them the process of walking through the problem and how best to complete an error analysis task.

Digging Deeper into Error Analysis

Once students show proficiency in the standard algorithm (or strategies), I take it a step further and have them dive into error analysis where they can show a “reverse” understanding as they evaluate mistakes made and fix them. Being able to identify an error in someone else’s work requires higher order thinking not found in most other projects or activities and certainly not found in basic math fact completion.

First, teach students the difference between a computational error and a conceptual error. 

• Computational is when they make a mistake in basic math facts. This might look as simple as  64/8 does not equal 7. Oops!
• A Conceptual or Procedural Error is when they make a mistake in the procedure or concept. 
• I can’t tell you how many times students show as not proficient on a topic when the mistakes they are making are COMPUTATIONAL and not conceptual or procedural. They don’t need more review in how to use a strategy… they need to slow down and pay closer attention to their math facts!

Once we’ve introduced the types of errors they should be looking out for, we move on to actually analyzing these errors in someone else’s work and fixing the mistake.

I have created error analysis tasks for you to use with you students so they can identify the errors, types of errors, rework the problem, and create their own version of the problem and solve it. I have seen great success with incorporating these tasks into ALL of my math units. I even have kids beg to take their error analysis tasks out to recess to finish! These are great resources to start:

• Error Analysis Bundle
• 3rd Grade Word Problem of the Day
• 4th Grade Word Problem of the Day
• 5th Grade Word Problem of the Day

The final step in using error analysis is actually having students correct their OWN mistakes. Once I have instructed on types of errors, I will start by simply telling them, Oops! You’ve made a computational error here! That way they aren’t furiously looking through the procedure for a mistake, instead they are looking to see where they computed wrong. Conversely, I’ll tell them if they’ve made a procedural mistake, and that can guide them in figuring out what they need to look for.

Looking at the different types of errors students are making is essential to guiding my instruction as well, so even though it takes a bit longer to grade things like this, it is immensely helpful to me as I make adjustments to my instruction.

Resources and Ideas for Critical Thinking

I’ve compiled a collection of websites for complex tasks with multiple, open-ended answers and scenarios. The majority of these tasks are non-routine and so easy to implement. I often post these tasks and allow students short bursts of time to strategize and plan for a solution. Consider using the tasks and problems from these sites as warm-ups, extensions of your morning meeting, during enrichment groups, or on a Problem of the Week board. I also highly encourage you to incorporate these non-routine problems into your core instruction time for all students at least once or twice a month.

• NRICH provides thousands of FREE online mathematics resources for ages 3 to 18. The tasks focus on developing problem-solving skills, perseverance, mathematical reasoning, the ability to apply knowledge creatively in unfamiliar contexts, and confidence in tackling new challenges..
• Open Middle offers challenging math word problems that require a higher depth of knowledge than most problems that assess procedural and conceptual understanding. They support the Common Core State Standards and provide students with opportunities for discussing their thinking. All problems have a “closed beginning,” meaning that they all start with the same initial problem, a “closed-end” meaning that they all end with the same answer, and an “open middle” meaning that there are multiple ways to approach and ultimately solve the problem.
• Mathcurious offers interactive digital puzzles. Each adventure is dedicated to exploring the world of math and sharing experiences, knowledge, and ideas.
• Robert Kaplinsky shares math strategies, lessons, and resources designed to create problem solvers. The lessons are detailed and challenging!
• Mathigon “The mathematical playground” offers free manipulatives, activities, and lessons to make online learning interactive and engaging. The digital manipulates are a must-use!
• Fractal Foundation uses fractals to inspire interest in science, math and art. It has numerous fractal activities, software to help your students create their own fractals, and more.
• Greg Fletcher 3 Act Tasks contain engaging math videos with guiding questions. You can also download recording sheets to go with each video.

Mary Montero

I’m so glad you are here. I’m a current gifted and talented teacher in a small town in Colorado, and I’ve been in education since 2009. My passion (other than my family and cookies) is for making teachers’ lives easier and classrooms more engaging.

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• Published: 11 January 2023

The effectiveness of collaborative problem solving in promoting students’ critical thinking: A meta-analysis based on empirical literature

• Enwei Xu   ORCID: orcid.org/0000-0001-6424-8169 1 ,
• Wei Wang 1 &
• Qingxia Wang 1  

Humanities and Social Sciences Communications volume  10 , Article number:  16 ( 2023 ) Cite this article

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• Science, technology and society

Collaborative problem-solving has been widely embraced in the classroom instruction of critical thinking, which is regarded as the core of curriculum reform based on key competencies in the field of education as well as a key competence for learners in the 21st century. However, the effectiveness of collaborative problem-solving in promoting students’ critical thinking remains uncertain. This current research presents the major findings of a meta-analysis of 36 pieces of the literature revealed in worldwide educational periodicals during the 21st century to identify the effectiveness of collaborative problem-solving in promoting students’ critical thinking and to determine, based on evidence, whether and to what extent collaborative problem solving can result in a rise or decrease in critical thinking. The findings show that (1) collaborative problem solving is an effective teaching approach to foster students’ critical thinking, with a significant overall effect size (ES = 0.82, z  = 12.78, P  < 0.01, 95% CI [0.69, 0.95]); (2) in respect to the dimensions of critical thinking, collaborative problem solving can significantly and successfully enhance students’ attitudinal tendencies (ES = 1.17, z  = 7.62, P  < 0.01, 95% CI[0.87, 1.47]); nevertheless, it falls short in terms of improving students’ cognitive skills, having only an upper-middle impact (ES = 0.70, z  = 11.55, P  < 0.01, 95% CI[0.58, 0.82]); and (3) the teaching type (chi 2  = 7.20, P  < 0.05), intervention duration (chi 2  = 12.18, P  < 0.01), subject area (chi 2  = 13.36, P  < 0.05), group size (chi 2  = 8.77, P  < 0.05), and learning scaffold (chi 2  = 9.03, P  < 0.01) all have an impact on critical thinking, and they can be viewed as important moderating factors that affect how critical thinking develops. On the basis of these results, recommendations are made for further study and instruction to better support students’ critical thinking in the context of collaborative problem-solving.

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Introduction.

Although critical thinking has a long history in research, the concept of critical thinking, which is regarded as an essential competence for learners in the 21st century, has recently attracted more attention from researchers and teaching practitioners (National Research Council, 2012 ). Critical thinking should be the core of curriculum reform based on key competencies in the field of education (Peng and Deng, 2017 ) because students with critical thinking can not only understand the meaning of knowledge but also effectively solve practical problems in real life even after knowledge is forgotten (Kek and Huijser, 2011 ). The definition of critical thinking is not universal (Ennis, 1989 ; Castle, 2009 ; Niu et al., 2013 ). In general, the definition of critical thinking is a self-aware and self-regulated thought process (Facione, 1990 ; Niu et al., 2013 ). It refers to the cognitive skills needed to interpret, analyze, synthesize, reason, and evaluate information as well as the attitudinal tendency to apply these abilities (Halpern, 2001 ). The view that critical thinking can be taught and learned through curriculum teaching has been widely supported by many researchers (e.g., Kuncel, 2011 ; Leng and Lu, 2020 ), leading to educators’ efforts to foster it among students. In the field of teaching practice, there are three types of courses for teaching critical thinking (Ennis, 1989 ). The first is an independent curriculum in which critical thinking is taught and cultivated without involving the knowledge of specific disciplines; the second is an integrated curriculum in which critical thinking is integrated into the teaching of other disciplines as a clear teaching goal; and the third is a mixed curriculum in which critical thinking is taught in parallel to the teaching of other disciplines for mixed teaching training. Furthermore, numerous measuring tools have been developed by researchers and educators to measure critical thinking in the context of teaching practice. These include standardized measurement tools, such as WGCTA, CCTST, CCTT, and CCTDI, which have been verified by repeated experiments and are considered effective and reliable by international scholars (Facione and Facione, 1992 ). In short, descriptions of critical thinking, including its two dimensions of attitudinal tendency and cognitive skills, different types of teaching courses, and standardized measurement tools provide a complex normative framework for understanding, teaching, and evaluating critical thinking.

Cultivating critical thinking in curriculum teaching can start with a problem, and one of the most popular critical thinking instructional approaches is problem-based learning (Liu et al., 2020 ). Duch et al. ( 2001 ) noted that problem-based learning in group collaboration is progressive active learning, which can improve students’ critical thinking and problem-solving skills. Collaborative problem-solving is the organic integration of collaborative learning and problem-based learning, which takes learners as the center of the learning process and uses problems with poor structure in real-world situations as the starting point for the learning process (Liang et al., 2017 ). Students learn the knowledge needed to solve problems in a collaborative group, reach a consensus on problems in the field, and form solutions through social cooperation methods, such as dialogue, interpretation, questioning, debate, negotiation, and reflection, thus promoting the development of learners’ domain knowledge and critical thinking (Cindy, 2004 ; Liang et al., 2017 ).

Collaborative problem-solving has been widely used in the teaching practice of critical thinking, and several studies have attempted to conduct a systematic review and meta-analysis of the empirical literature on critical thinking from various perspectives. However, little attention has been paid to the impact of collaborative problem-solving on critical thinking. Therefore, the best approach for developing and enhancing critical thinking throughout collaborative problem-solving is to examine how to implement critical thinking instruction; however, this issue is still unexplored, which means that many teachers are incapable of better instructing critical thinking (Leng and Lu, 2020 ; Niu et al., 2013 ). For example, Huber ( 2016 ) provided the meta-analysis findings of 71 publications on gaining critical thinking over various time frames in college with the aim of determining whether critical thinking was truly teachable. These authors found that learners significantly improve their critical thinking while in college and that critical thinking differs with factors such as teaching strategies, intervention duration, subject area, and teaching type. The usefulness of collaborative problem-solving in fostering students’ critical thinking, however, was not determined by this study, nor did it reveal whether there existed significant variations among the different elements. A meta-analysis of 31 pieces of educational literature was conducted by Liu et al. ( 2020 ) to assess the impact of problem-solving on college students’ critical thinking. These authors found that problem-solving could promote the development of critical thinking among college students and proposed establishing a reasonable group structure for problem-solving in a follow-up study to improve students’ critical thinking. Additionally, previous empirical studies have reached inconclusive and even contradictory conclusions about whether and to what extent collaborative problem-solving increases or decreases critical thinking levels. As an illustration, Yang et al. ( 2008 ) carried out an experiment on the integrated curriculum teaching of college students based on a web bulletin board with the goal of fostering participants’ critical thinking in the context of collaborative problem-solving. These authors’ research revealed that through sharing, debating, examining, and reflecting on various experiences and ideas, collaborative problem-solving can considerably enhance students’ critical thinking in real-life problem situations. In contrast, collaborative problem-solving had a positive impact on learners’ interaction and could improve learning interest and motivation but could not significantly improve students’ critical thinking when compared to traditional classroom teaching, according to research by Naber and Wyatt ( 2014 ) and Sendag and Odabasi ( 2009 ) on undergraduate and high school students, respectively.

The above studies show that there is inconsistency regarding the effectiveness of collaborative problem-solving in promoting students’ critical thinking. Therefore, it is essential to conduct a thorough and trustworthy review to detect and decide whether and to what degree collaborative problem-solving can result in a rise or decrease in critical thinking. Meta-analysis is a quantitative analysis approach that is utilized to examine quantitative data from various separate studies that are all focused on the same research topic. This approach characterizes the effectiveness of its impact by averaging the effect sizes of numerous qualitative studies in an effort to reduce the uncertainty brought on by independent research and produce more conclusive findings (Lipsey and Wilson, 2001 ).

This paper used a meta-analytic approach and carried out a meta-analysis to examine the effectiveness of collaborative problem-solving in promoting students’ critical thinking in order to make a contribution to both research and practice. The following research questions were addressed by this meta-analysis:

What is the overall effect size of collaborative problem-solving in promoting students’ critical thinking and its impact on the two dimensions of critical thinking (i.e., attitudinal tendency and cognitive skills)?

How are the disparities between the study conclusions impacted by various moderating variables if the impacts of various experimental designs in the included studies are heterogeneous?

This research followed the strict procedures (e.g., database searching, identification, screening, eligibility, merging, duplicate removal, and analysis of included studies) of Cooper’s ( 2010 ) proposed meta-analysis approach for examining quantitative data from various separate studies that are all focused on the same research topic. The relevant empirical research that appeared in worldwide educational periodicals within the 21st century was subjected to this meta-analysis using Rev-Man 5.4. The consistency of the data extracted separately by two researchers was tested using Cohen’s kappa coefficient, and a publication bias test and a heterogeneity test were run on the sample data to ascertain the quality of this meta-analysis.

Data sources and search strategies

There were three stages to the data collection process for this meta-analysis, as shown in Fig. 1 , which shows the number of articles included and eliminated during the selection process based on the statement and study eligibility criteria.

This flowchart shows the number of records identified, included and excluded in the article.

First, the databases used to systematically search for relevant articles were the journal papers of the Web of Science Core Collection and the Chinese Core source journal, as well as the Chinese Social Science Citation Index (CSSCI) source journal papers included in CNKI. These databases were selected because they are credible platforms that are sources of scholarly and peer-reviewed information with advanced search tools and contain literature relevant to the subject of our topic from reliable researchers and experts. The search string with the Boolean operator used in the Web of Science was “TS = (((“critical thinking” or “ct” and “pretest” or “posttest”) or (“critical thinking” or “ct” and “control group” or “quasi experiment” or “experiment”)) and (“collaboration” or “collaborative learning” or “CSCL”) and (“problem solving” or “problem-based learning” or “PBL”))”. The research area was “Education Educational Research”, and the search period was “January 1, 2000, to December 30, 2021”. A total of 412 papers were obtained. The search string with the Boolean operator used in the CNKI was “SU = (‘critical thinking’*‘collaboration’ + ‘critical thinking’*‘collaborative learning’ + ‘critical thinking’*‘CSCL’ + ‘critical thinking’*‘problem solving’ + ‘critical thinking’*‘problem-based learning’ + ‘critical thinking’*‘PBL’ + ‘critical thinking’*‘problem oriented’) AND FT = (‘experiment’ + ‘quasi experiment’ + ‘pretest’ + ‘posttest’ + ‘empirical study’)” (translated into Chinese when searching). A total of 56 studies were found throughout the search period of “January 2000 to December 2021”. From the databases, all duplicates and retractions were eliminated before exporting the references into Endnote, a program for managing bibliographic references. In all, 466 studies were found.

Second, the studies that matched the inclusion and exclusion criteria for the meta-analysis were chosen by two researchers after they had reviewed the abstracts and titles of the gathered articles, yielding a total of 126 studies.

Third, two researchers thoroughly reviewed each included article’s whole text in accordance with the inclusion and exclusion criteria. Meanwhile, a snowball search was performed using the references and citations of the included articles to ensure complete coverage of the articles. Ultimately, 36 articles were kept.

Two researchers worked together to carry out this entire process, and a consensus rate of almost 94.7% was reached after discussion and negotiation to clarify any emerging differences.

Eligibility criteria

Since not all the retrieved studies matched the criteria for this meta-analysis, eligibility criteria for both inclusion and exclusion were developed as follows:

The publication language of the included studies was limited to English and Chinese, and the full text could be obtained. Articles that did not meet the publication language and articles not published between 2000 and 2021 were excluded.

The research design of the included studies must be empirical and quantitative studies that can assess the effect of collaborative problem-solving on the development of critical thinking. Articles that could not identify the causal mechanisms by which collaborative problem-solving affects critical thinking, such as review articles and theoretical articles, were excluded.

The research method of the included studies must feature a randomized control experiment or a quasi-experiment, or a natural experiment, which have a higher degree of internal validity with strong experimental designs and can all plausibly provide evidence that critical thinking and collaborative problem-solving are causally related. Articles with non-experimental research methods, such as purely correlational or observational studies, were excluded.

The participants of the included studies were only students in school, including K-12 students and college students. Articles in which the participants were non-school students, such as social workers or adult learners, were excluded.

The research results of the included studies must mention definite signs that may be utilized to gauge critical thinking’s impact (e.g., sample size, mean value, or standard deviation). Articles that lacked specific measurement indicators for critical thinking and could not calculate the effect size were excluded.

Data coding design

In order to perform a meta-analysis, it is necessary to collect the most important information from the articles, codify that information’s properties, and convert descriptive data into quantitative data. Therefore, this study designed a data coding template (see Table 1 ). Ultimately, 16 coding fields were retained.

The designed data-coding template consisted of three pieces of information. Basic information about the papers was included in the descriptive information: the publishing year, author, serial number, and title of the paper.

The variable information for the experimental design had three variables: the independent variable (instruction method), the dependent variable (critical thinking), and the moderating variable (learning stage, teaching type, intervention duration, learning scaffold, group size, measuring tool, and subject area). Depending on the topic of this study, the intervention strategy, as the independent variable, was coded into collaborative and non-collaborative problem-solving. The dependent variable, critical thinking, was coded as a cognitive skill and an attitudinal tendency. And seven moderating variables were created by grouping and combining the experimental design variables discovered within the 36 studies (see Table 1 ), where learning stages were encoded as higher education, high school, middle school, and primary school or lower; teaching types were encoded as mixed courses, integrated courses, and independent courses; intervention durations were encoded as 0–1 weeks, 1–4 weeks, 4–12 weeks, and more than 12 weeks; group sizes were encoded as 2–3 persons, 4–6 persons, 7–10 persons, and more than 10 persons; learning scaffolds were encoded as teacher-supported learning scaffold, technique-supported learning scaffold, and resource-supported learning scaffold; measuring tools were encoded as standardized measurement tools (e.g., WGCTA, CCTT, CCTST, and CCTDI) and self-adapting measurement tools (e.g., modified or made by researchers); and subject areas were encoded according to the specific subjects used in the 36 included studies.

The data information contained three metrics for measuring critical thinking: sample size, average value, and standard deviation. It is vital to remember that studies with various experimental designs frequently adopt various formulas to determine the effect size. And this paper used Morris’ proposed standardized mean difference (SMD) calculation formula ( 2008 , p. 369; see Supplementary Table S3 ).

Procedure for extracting and coding data

According to the data coding template (see Table 1 ), the 36 papers’ information was retrieved by two researchers, who then entered them into Excel (see Supplementary Table S1 ). The results of each study were extracted separately in the data extraction procedure if an article contained numerous studies on critical thinking, or if a study assessed different critical thinking dimensions. For instance, Tiwari et al. ( 2010 ) used four time points, which were viewed as numerous different studies, to examine the outcomes of critical thinking, and Chen ( 2013 ) included the two outcome variables of attitudinal tendency and cognitive skills, which were regarded as two studies. After discussion and negotiation during data extraction, the two researchers’ consistency test coefficients were roughly 93.27%. Supplementary Table S2 details the key characteristics of the 36 included articles with 79 effect quantities, including descriptive information (e.g., the publishing year, author, serial number, and title of the paper), variable information (e.g., independent variables, dependent variables, and moderating variables), and data information (e.g., mean values, standard deviations, and sample size). Following that, testing for publication bias and heterogeneity was done on the sample data using the Rev-Man 5.4 software, and then the test results were used to conduct a meta-analysis.

Publication bias test

When the sample of studies included in a meta-analysis does not accurately reflect the general status of research on the relevant subject, publication bias is said to be exhibited in this research. The reliability and accuracy of the meta-analysis may be impacted by publication bias. Due to this, the meta-analysis needs to check the sample data for publication bias (Stewart et al., 2006 ). A popular method to check for publication bias is the funnel plot; and it is unlikely that there will be publishing bias when the data are equally dispersed on either side of the average effect size and targeted within the higher region. The data are equally dispersed within the higher portion of the efficient zone, consistent with the funnel plot connected with this analysis (see Fig. 2 ), indicating that publication bias is unlikely in this situation.

This funnel plot shows the result of publication bias of 79 effect quantities across 36 studies.

Heterogeneity test

To select the appropriate effect models for the meta-analysis, one might use the results of a heterogeneity test on the data effect sizes. In a meta-analysis, it is common practice to gauge the degree of data heterogeneity using the I 2 value, and I 2  ≥ 50% is typically understood to denote medium-high heterogeneity, which calls for the adoption of a random effect model; if not, a fixed effect model ought to be applied (Lipsey and Wilson, 2001 ). The findings of the heterogeneity test in this paper (see Table 2 ) revealed that I 2 was 86% and displayed significant heterogeneity ( P  < 0.01). To ensure accuracy and reliability, the overall effect size ought to be calculated utilizing the random effect model.

The analysis of the overall effect size

This meta-analysis utilized a random effect model to examine 79 effect quantities from 36 studies after eliminating heterogeneity. In accordance with Cohen’s criterion (Cohen, 1992 ), it is abundantly clear from the analysis results, which are shown in the forest plot of the overall effect (see Fig. 3 ), that the cumulative impact size of cooperative problem-solving is 0.82, which is statistically significant ( z  = 12.78, P  < 0.01, 95% CI [0.69, 0.95]), and can encourage learners to practice critical thinking.

This forest plot shows the analysis result of the overall effect size across 36 studies.

In addition, this study examined two distinct dimensions of critical thinking to better understand the precise contributions that collaborative problem-solving makes to the growth of critical thinking. The findings (see Table 3 ) indicate that collaborative problem-solving improves cognitive skills (ES = 0.70) and attitudinal tendency (ES = 1.17), with significant intergroup differences (chi 2  = 7.95, P  < 0.01). Although collaborative problem-solving improves both dimensions of critical thinking, it is essential to point out that the improvements in students’ attitudinal tendency are much more pronounced and have a significant comprehensive effect (ES = 1.17, z  = 7.62, P  < 0.01, 95% CI [0.87, 1.47]), whereas gains in learners’ cognitive skill are slightly improved and are just above average. (ES = 0.70, z  = 11.55, P  < 0.01, 95% CI [0.58, 0.82]).

The analysis of moderator effect size

The whole forest plot’s 79 effect quantities underwent a two-tailed test, which revealed significant heterogeneity ( I 2  = 86%, z  = 12.78, P  < 0.01), indicating differences between various effect sizes that may have been influenced by moderating factors other than sampling error. Therefore, exploring possible moderating factors that might produce considerable heterogeneity was done using subgroup analysis, such as the learning stage, learning scaffold, teaching type, group size, duration of the intervention, measuring tool, and the subject area included in the 36 experimental designs, in order to further explore the key factors that influence critical thinking. The findings (see Table 4 ) indicate that various moderating factors have advantageous effects on critical thinking. In this situation, the subject area (chi 2  = 13.36, P  < 0.05), group size (chi 2  = 8.77, P  < 0.05), intervention duration (chi 2  = 12.18, P  < 0.01), learning scaffold (chi 2  = 9.03, P  < 0.01), and teaching type (chi 2  = 7.20, P  < 0.05) are all significant moderators that can be applied to support the cultivation of critical thinking. However, since the learning stage and the measuring tools did not significantly differ among intergroup (chi 2  = 3.15, P  = 0.21 > 0.05, and chi 2  = 0.08, P  = 0.78 > 0.05), we are unable to explain why these two factors are crucial in supporting the cultivation of critical thinking in the context of collaborative problem-solving. These are the precise outcomes, as follows:

Various learning stages influenced critical thinking positively, without significant intergroup differences (chi 2  = 3.15, P  = 0.21 > 0.05). High school was first on the list of effect sizes (ES = 1.36, P  < 0.01), then higher education (ES = 0.78, P  < 0.01), and middle school (ES = 0.73, P  < 0.01). These results show that, despite the learning stage’s beneficial influence on cultivating learners’ critical thinking, we are unable to explain why it is essential for cultivating critical thinking in the context of collaborative problem-solving.

Different teaching types had varying degrees of positive impact on critical thinking, with significant intergroup differences (chi 2  = 7.20, P  < 0.05). The effect size was ranked as follows: mixed courses (ES = 1.34, P  < 0.01), integrated courses (ES = 0.81, P  < 0.01), and independent courses (ES = 0.27, P  < 0.01). These results indicate that the most effective approach to cultivate critical thinking utilizing collaborative problem solving is through the teaching type of mixed courses.

Various intervention durations significantly improved critical thinking, and there were significant intergroup differences (chi 2  = 12.18, P  < 0.01). The effect sizes related to this variable showed a tendency to increase with longer intervention durations. The improvement in critical thinking reached a significant level (ES = 0.85, P  < 0.01) after more than 12 weeks of training. These findings indicate that the intervention duration and critical thinking’s impact are positively correlated, with a longer intervention duration having a greater effect.

Different learning scaffolds influenced critical thinking positively, with significant intergroup differences (chi 2  = 9.03, P  < 0.01). The resource-supported learning scaffold (ES = 0.69, P  < 0.01) acquired a medium-to-higher level of impact, the technique-supported learning scaffold (ES = 0.63, P  < 0.01) also attained a medium-to-higher level of impact, and the teacher-supported learning scaffold (ES = 0.92, P  < 0.01) displayed a high level of significant impact. These results show that the learning scaffold with teacher support has the greatest impact on cultivating critical thinking.

Various group sizes influenced critical thinking positively, and the intergroup differences were statistically significant (chi 2  = 8.77, P  < 0.05). Critical thinking showed a general declining trend with increasing group size. The overall effect size of 2–3 people in this situation was the biggest (ES = 0.99, P  < 0.01), and when the group size was greater than 7 people, the improvement in critical thinking was at the lower-middle level (ES < 0.5, P  < 0.01). These results show that the impact on critical thinking is positively connected with group size, and as group size grows, so does the overall impact.

Various measuring tools influenced critical thinking positively, with significant intergroup differences (chi 2  = 0.08, P  = 0.78 > 0.05). In this situation, the self-adapting measurement tools obtained an upper-medium level of effect (ES = 0.78), whereas the complete effect size of the standardized measurement tools was the largest, achieving a significant level of effect (ES = 0.84, P  < 0.01). These results show that, despite the beneficial influence of the measuring tool on cultivating critical thinking, we are unable to explain why it is crucial in fostering the growth of critical thinking by utilizing the approach of collaborative problem-solving.

Different subject areas had a greater impact on critical thinking, and the intergroup differences were statistically significant (chi 2  = 13.36, P  < 0.05). Mathematics had the greatest overall impact, achieving a significant level of effect (ES = 1.68, P  < 0.01), followed by science (ES = 1.25, P  < 0.01) and medical science (ES = 0.87, P  < 0.01), both of which also achieved a significant level of effect. Programming technology was the least effective (ES = 0.39, P  < 0.01), only having a medium-low degree of effect compared to education (ES = 0.72, P  < 0.01) and other fields (such as language, art, and social sciences) (ES = 0.58, P  < 0.01). These results suggest that scientific fields (e.g., mathematics, science) may be the most effective subject areas for cultivating critical thinking utilizing the approach of collaborative problem-solving.

The effectiveness of collaborative problem solving with regard to teaching critical thinking

According to this meta-analysis, using collaborative problem-solving as an intervention strategy in critical thinking teaching has a considerable amount of impact on cultivating learners’ critical thinking as a whole and has a favorable promotional effect on the two dimensions of critical thinking. According to certain studies, collaborative problem solving, the most frequently used critical thinking teaching strategy in curriculum instruction can considerably enhance students’ critical thinking (e.g., Liang et al., 2017 ; Liu et al., 2020 ; Cindy, 2004 ). This meta-analysis provides convergent data support for the above research views. Thus, the findings of this meta-analysis not only effectively address the first research query regarding the overall effect of cultivating critical thinking and its impact on the two dimensions of critical thinking (i.e., attitudinal tendency and cognitive skills) utilizing the approach of collaborative problem-solving, but also enhance our confidence in cultivating critical thinking by using collaborative problem-solving intervention approach in the context of classroom teaching.

Furthermore, the associated improvements in attitudinal tendency are much stronger, but the corresponding improvements in cognitive skill are only marginally better. According to certain studies, cognitive skill differs from the attitudinal tendency in classroom instruction; the cultivation and development of the former as a key ability is a process of gradual accumulation, while the latter as an attitude is affected by the context of the teaching situation (e.g., a novel and exciting teaching approach, challenging and rewarding tasks) (Halpern, 2001 ; Wei and Hong, 2022 ). Collaborative problem-solving as a teaching approach is exciting and interesting, as well as rewarding and challenging; because it takes the learners as the focus and examines problems with poor structure in real situations, and it can inspire students to fully realize their potential for problem-solving, which will significantly improve their attitudinal tendency toward solving problems (Liu et al., 2020 ). Similar to how collaborative problem-solving influences attitudinal tendency, attitudinal tendency impacts cognitive skill when attempting to solve a problem (Liu et al., 2020 ; Zhang et al., 2022 ), and stronger attitudinal tendencies are associated with improved learning achievement and cognitive ability in students (Sison, 2008 ; Zhang et al., 2022 ). It can be seen that the two specific dimensions of critical thinking as well as critical thinking as a whole are affected by collaborative problem-solving, and this study illuminates the nuanced links between cognitive skills and attitudinal tendencies with regard to these two dimensions of critical thinking. To fully develop students’ capacity for critical thinking, future empirical research should pay closer attention to cognitive skills.

The moderating effects of collaborative problem solving with regard to teaching critical thinking

In order to further explore the key factors that influence critical thinking, exploring possible moderating effects that might produce considerable heterogeneity was done using subgroup analysis. The findings show that the moderating factors, such as the teaching type, learning stage, group size, learning scaffold, duration of the intervention, measuring tool, and the subject area included in the 36 experimental designs, could all support the cultivation of collaborative problem-solving in critical thinking. Among them, the effect size differences between the learning stage and measuring tool are not significant, which does not explain why these two factors are crucial in supporting the cultivation of critical thinking utilizing the approach of collaborative problem-solving.

In terms of the learning stage, various learning stages influenced critical thinking positively without significant intergroup differences, indicating that we are unable to explain why it is crucial in fostering the growth of critical thinking.

Although high education accounts for 70.89% of all empirical studies performed by researchers, high school may be the appropriate learning stage to foster students’ critical thinking by utilizing the approach of collaborative problem-solving since it has the largest overall effect size. This phenomenon may be related to student’s cognitive development, which needs to be further studied in follow-up research.

With regard to teaching type, mixed course teaching may be the best teaching method to cultivate students’ critical thinking. Relevant studies have shown that in the actual teaching process if students are trained in thinking methods alone, the methods they learn are isolated and divorced from subject knowledge, which is not conducive to their transfer of thinking methods; therefore, if students’ thinking is trained only in subject teaching without systematic method training, it is challenging to apply to real-world circumstances (Ruggiero, 2012 ; Hu and Liu, 2015 ). Teaching critical thinking as mixed course teaching in parallel to other subject teachings can achieve the best effect on learners’ critical thinking, and explicit critical thinking instruction is more effective than less explicit critical thinking instruction (Bensley and Spero, 2014 ).

In terms of the intervention duration, with longer intervention times, the overall effect size shows an upward tendency. Thus, the intervention duration and critical thinking’s impact are positively correlated. Critical thinking, as a key competency for students in the 21st century, is difficult to get a meaningful improvement in a brief intervention duration. Instead, it could be developed over a lengthy period of time through consistent teaching and the progressive accumulation of knowledge (Halpern, 2001 ; Hu and Liu, 2015 ). Therefore, future empirical studies ought to take these restrictions into account throughout a longer period of critical thinking instruction.

With regard to group size, a group size of 2–3 persons has the highest effect size, and the comprehensive effect size decreases with increasing group size in general. This outcome is in line with some research findings; as an example, a group composed of two to four members is most appropriate for collaborative learning (Schellens and Valcke, 2006 ). However, the meta-analysis results also indicate that once the group size exceeds 7 people, small groups cannot produce better interaction and performance than large groups. This may be because the learning scaffolds of technique support, resource support, and teacher support improve the frequency and effectiveness of interaction among group members, and a collaborative group with more members may increase the diversity of views, which is helpful to cultivate critical thinking utilizing the approach of collaborative problem-solving.

With regard to the learning scaffold, the three different kinds of learning scaffolds can all enhance critical thinking. Among them, the teacher-supported learning scaffold has the largest overall effect size, demonstrating the interdependence of effective learning scaffolds and collaborative problem-solving. This outcome is in line with some research findings; as an example, a successful strategy is to encourage learners to collaborate, come up with solutions, and develop critical thinking skills by using learning scaffolds (Reiser, 2004 ; Xu et al., 2022 ); learning scaffolds can lower task complexity and unpleasant feelings while also enticing students to engage in learning activities (Wood et al., 2006 ); learning scaffolds are designed to assist students in using learning approaches more successfully to adapt the collaborative problem-solving process, and the teacher-supported learning scaffolds have the greatest influence on critical thinking in this process because they are more targeted, informative, and timely (Xu et al., 2022 ).

With respect to the measuring tool, despite the fact that standardized measurement tools (such as the WGCTA, CCTT, and CCTST) have been acknowledged as trustworthy and effective by worldwide experts, only 54.43% of the research included in this meta-analysis adopted them for assessment, and the results indicated no intergroup differences. These results suggest that not all teaching circumstances are appropriate for measuring critical thinking using standardized measurement tools. “The measuring tools for measuring thinking ability have limits in assessing learners in educational situations and should be adapted appropriately to accurately assess the changes in learners’ critical thinking.”, according to Simpson and Courtney ( 2002 , p. 91). As a result, in order to more fully and precisely gauge how learners’ critical thinking has evolved, we must properly modify standardized measuring tools based on collaborative problem-solving learning contexts.

With regard to the subject area, the comprehensive effect size of science departments (e.g., mathematics, science, medical science) is larger than that of language arts and social sciences. Some recent international education reforms have noted that critical thinking is a basic part of scientific literacy. Students with scientific literacy can prove the rationality of their judgment according to accurate evidence and reasonable standards when they face challenges or poorly structured problems (Kyndt et al., 2013 ), which makes critical thinking crucial for developing scientific understanding and applying this understanding to practical problem solving for problems related to science, technology, and society (Yore et al., 2007 ).

Suggestions for critical thinking teaching

Other than those stated in the discussion above, the following suggestions are offered for critical thinking instruction utilizing the approach of collaborative problem-solving.

First, teachers should put a special emphasis on the two core elements, which are collaboration and problem-solving, to design real problems based on collaborative situations. This meta-analysis provides evidence to support the view that collaborative problem-solving has a strong synergistic effect on promoting students’ critical thinking. Asking questions about real situations and allowing learners to take part in critical discussions on real problems during class instruction are key ways to teach critical thinking rather than simply reading speculative articles without practice (Mulnix, 2012 ). Furthermore, the improvement of students’ critical thinking is realized through cognitive conflict with other learners in the problem situation (Yang et al., 2008 ). Consequently, it is essential for teachers to put a special emphasis on the two core elements, which are collaboration and problem-solving, and design real problems and encourage students to discuss, negotiate, and argue based on collaborative problem-solving situations.

Second, teachers should design and implement mixed courses to cultivate learners’ critical thinking, utilizing the approach of collaborative problem-solving. Critical thinking can be taught through curriculum instruction (Kuncel, 2011 ; Leng and Lu, 2020 ), with the goal of cultivating learners’ critical thinking for flexible transfer and application in real problem-solving situations. This meta-analysis shows that mixed course teaching has a highly substantial impact on the cultivation and promotion of learners’ critical thinking. Therefore, teachers should design and implement mixed course teaching with real collaborative problem-solving situations in combination with the knowledge content of specific disciplines in conventional teaching, teach methods and strategies of critical thinking based on poorly structured problems to help students master critical thinking, and provide practical activities in which students can interact with each other to develop knowledge construction and critical thinking utilizing the approach of collaborative problem-solving.

Third, teachers should be more trained in critical thinking, particularly preservice teachers, and they also should be conscious of the ways in which teachers’ support for learning scaffolds can promote critical thinking. The learning scaffold supported by teachers had the greatest impact on learners’ critical thinking, in addition to being more directive, targeted, and timely (Wood et al., 2006 ). Critical thinking can only be effectively taught when teachers recognize the significance of critical thinking for students’ growth and use the proper approaches while designing instructional activities (Forawi, 2016 ). Therefore, with the intention of enabling teachers to create learning scaffolds to cultivate learners’ critical thinking utilizing the approach of collaborative problem solving, it is essential to concentrate on the teacher-supported learning scaffolds and enhance the instruction for teaching critical thinking to teachers, especially preservice teachers.

Implications and limitations

There are certain limitations in this meta-analysis, but future research can correct them. First, the search languages were restricted to English and Chinese, so it is possible that pertinent studies that were written in other languages were overlooked, resulting in an inadequate number of articles for review. Second, these data provided by the included studies are partially missing, such as whether teachers were trained in the theory and practice of critical thinking, the average age and gender of learners, and the differences in critical thinking among learners of various ages and genders. Third, as is typical for review articles, more studies were released while this meta-analysis was being done; therefore, it had a time limit. With the development of relevant research, future studies focusing on these issues are highly relevant and needed.

Conclusions

The subject of the magnitude of collaborative problem-solving’s impact on fostering students’ critical thinking, which received scant attention from other studies, was successfully addressed by this study. The question of the effectiveness of collaborative problem-solving in promoting students’ critical thinking was addressed in this study, which addressed a topic that had gotten little attention in earlier research. The following conclusions can be made:

Regarding the results obtained, collaborative problem solving is an effective teaching approach to foster learners’ critical thinking, with a significant overall effect size (ES = 0.82, z  = 12.78, P  < 0.01, 95% CI [0.69, 0.95]). With respect to the dimensions of critical thinking, collaborative problem-solving can significantly and effectively improve students’ attitudinal tendency, and the comprehensive effect is significant (ES = 1.17, z  = 7.62, P  < 0.01, 95% CI [0.87, 1.47]); nevertheless, it falls short in terms of improving students’ cognitive skills, having only an upper-middle impact (ES = 0.70, z  = 11.55, P  < 0.01, 95% CI [0.58, 0.82]).

As demonstrated by both the results and the discussion, there are varying degrees of beneficial effects on students’ critical thinking from all seven moderating factors, which were found across 36 studies. In this context, the teaching type (chi 2  = 7.20, P  < 0.05), intervention duration (chi 2  = 12.18, P  < 0.01), subject area (chi 2  = 13.36, P  < 0.05), group size (chi 2  = 8.77, P  < 0.05), and learning scaffold (chi 2  = 9.03, P  < 0.01) all have a positive impact on critical thinking, and they can be viewed as important moderating factors that affect how critical thinking develops. Since the learning stage (chi 2  = 3.15, P  = 0.21 > 0.05) and measuring tools (chi 2  = 0.08, P  = 0.78 > 0.05) did not demonstrate any significant intergroup differences, we are unable to explain why these two factors are crucial in supporting the cultivation of critical thinking in the context of collaborative problem-solving.

Data availability

All data generated or analyzed during this study are included within the article and its supplementary information files, and the supplementary information files are available in the Dataverse repository: https://doi.org/10.7910/DVN/IPFJO6 .

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Acknowledgements

This research was supported by the graduate scientific research and innovation project of Xinjiang Uygur Autonomous Region named “Research on in-depth learning of high school information technology courses for the cultivation of computing thinking” (No. XJ2022G190) and the independent innovation fund project for doctoral students of the College of Educational Science of Xinjiang Normal University named “Research on project-based teaching of high school information technology courses from the perspective of discipline core literacy” (No. XJNUJKYA2003).

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Xu, E., Wang, W. & Wang, Q. The effectiveness of collaborative problem solving in promoting students’ critical thinking: A meta-analysis based on empirical literature. Humanit Soc Sci Commun 10 , 16 (2023). https://doi.org/10.1057/s41599-023-01508-1

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Leveraging systems models: a strategic advantage for it professionals.

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Thomas Lim is the Vice-Dean of Centre for Systems Leadership at SIM Academy. He is an AI+Web3 practitioner & author of Think.Coach.Thrive!

IT professionals increasingly need to navigate projects arising from greater business complexity. The integration of systems models with established methodologies, like design thinking, agile and lean, presents a unique opportunity for IT experts to enhance their capacity and expertise. This systemic integration not only enriches their problem-solving tool kits but also ensures the delivery of innovative, sustainable solutions that align with the strategic objectives of their organizations.

The landscape of IT projects has expanded beyond straightforward software development to include complex ecosystems involving artificial intelligence (AI), cloud computing, big data and more. This complexity necessitates a holistic view of project management and solution development, where understanding interdependencies and emergent behaviors becomes crucial. Systems models, with their focus on the interrelations within and among systems, offer a comprehensive framework for analyzing and addressing these complexities.

Enhancing Design Thinking With Systems Thinking

Within the Design Thinking phases, there are opportunities to embed systems thinking models. For example, during the Ideate phase, using causal loops would help clarify the Theory of Success.

Agile methodologies emphasize flexibility, rapid iteration and stakeholder collaboration. Integrating systems dynamics into agile practices allows IT professionals to model and simulate the behaviors of complex systems over time. This predictive capability can inform sprint planning, risk management and the prioritization of features based on their potential impact on the system. By understanding the feedback loops and causal relationships that drive system behavior, IT teams can anticipate challenges and opportunities, leading to more informed decision-making and effective agile implementation.

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The fallout 4 next gen update is not going great, nfl draft here s how much second and third round picks will make in rookie contracts, diagnosing with the levels of perspective model.

The Levels of Perspective Systems Model categorizes viewpoints from which a system can be analyzed, ranging from concrete events to deep-rooted structures and mental models. This hierarchical framework includes the Events level, Patterns of Behavior level, Structural level and, sometimes, the Mental Models level. Each level offers a unique lens through which IT developers can understand and address complex challenges.

Enhancing Design Thinking

Design thinking emphasizes empathy, collaboration and iterative learning to solve problems creatively. By applying the Levels of Perspective Model, IT developers can deepen their empathetic understanding by recognizing not only the immediate needs (Events level) but also the underlying patterns and behaviors of users (Patterns of Behavior level). This approach allows developers to design solutions that are more closely aligned with users' evolving behaviors and preferences. Additionally, considering the Structural and Mental Models levels enable developers to identify and challenge assumptions about what users need or value, leading to more innovative and user-centric solutions.

Complementing Agile Methodologies

The Levels of Perspective Model can enhance agile practices by encouraging developers to look beyond the immediate backlog of tasks (Events level) and consider the broader patterns of team dynamics and project progress (Patterns of Behavior level). This wider perspective can help in anticipating challenges and opportunities for improvement.

Stacking Systemic Choices Using The Hierarchy Of Choices

The Hierarchy of Choices model offers a structured approach to decision-making that can greatly enhance the effectiveness of IT developers. By delineating decisions across five levels—fundamental, primary, secondary, tertiary and other choices—this model provides a comprehensive framework that aligns closely with design thinking and agile and lean methodologies, enhancing developers' capacity to deliver impactful, user-centered solutions efficiently.

Fundamental Choice: The Purpose Behind Existence

At the core of every IT project is the fundamental question: Why does this project exist? This aligns with the empathetic core of design thinking, which starts with understanding the user's needs and challenges.

Primary Choice: Defining Desired Outcomes

What results does the project aim to achieve? Identifying primary choices involves setting clear, measurable goals, a principle that resonates with the outcome-focused nature of agile methodologies. For developers, defining these outcomes provides a clear direction for the project, facilitating prioritization and helping to maintain focus on delivering value to the end-users.

Secondary Choice: Crafting The Strategy

Deciding on the strategy—how the project will achieve its goals—ties into lean thinking, which emphasizes value streams and waste elimination. For IT developers, understanding the chosen strategy informs the selection of technologies, architectural patterns and development practices that align with project goals. This strategic alignment ensures that resources are optimized and efforts are directed toward activities that directly contribute to the project's objectives.

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CUGR Announces Summer 2024 EPIC Fellowship Awardees

The University of Maine’s Center for Undergraduate Research (CUGR) is pleased to announce Summer 2024 EPIC fellowship winners. 

Experiential Programs Innovation Central (EPIC) aspires to provide integrated experiential learning and high-impact, student-centered education opportunities through hands-on exposure to research practices, emerging technologies, design thinking, interdisciplinary experiences, and innovative problem-solving.  

Students interested in pursuing any CUGR fellowship are encouraged to enroll in the EPIC course, INT 125, to support their preparation for undergraduate research beyond the classroom in any discipline.  To learn more, visit umaine.edu/epic. 

Recipients of the EPIC fellowship will receive $4,000 to put towards their research and experiential learning project. 

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Teaching Aptitude

Teaching methods encompass various strategies such as lectures, discussions, and demonstrations, each suited to different learning objectives and audiences. A good teacher possesses qualities like patience, effective communication skills, and adaptability to engage and inspire learners.

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Classroom Management

Effective classroom management techniques are essential for maintaining a productive learning environment. This includes establishing clear expectations, managing behavior, and fostering positive relationships among students.

Evaluation Methods

Assessment methods such as assignments and tests are crucial for measuring students' understanding and progress. Choosing appropriate evaluation techniques aligned with learning objectives ensures fair and accurate assessment.

Learner's Characteristics

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The physical and social environment in which learning occurs significantly impacts student engagement and achievement. Providing adequate infrastructure and cultivating a supportive learning atmosphere are essential for maximizing learning potential

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Problem-Solving and Critical Thinking

Encouraging problem-solving methods and critical thinking skills development empowers learners to analyze situations, explore alternatives, and make informed decisions. Balancing learner-centered and teacher-centered approaches fosters active engagement and deep understanding.

Research Aptitude

Differentiating between quantitative and qualitative research methodologies informs effective research design and data collection techniques. Upholding research ethics and avoiding plagiarism ensures the integrity and credibility of scholarly inquiry.

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