problem solving in the classroom

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Teaching problem solving.

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Tips and Techniques

Expert vs. novice problem solvers, communicate.

Have students identify specific problems, difficulties, or confusions . Don’t waste time working through problems that students already understand.
If students are unable to articulate their concerns, determine where they are having trouble by asking them to identify the specific concepts or principles associated with the problem.
In a one-on-one tutoring session, ask the student to work his/her problem out loud . This slows down the thinking process, making it more accurate and allowing you to access understanding.
When working with larger groups you can ask students to provide a written “two-column solution.” Have students write up their solution to a problem by putting all their calculations in one column and all of their reasoning (in complete sentences) in the other column. This helps them to think critically about their own problem solving and helps you to more easily identify where they may be having problems. Two-Column Solution (Math) Two-Column Solution (Physics)

Encourage Independence

Model the problem solving process rather than just giving students the answer. As you work through the problem, consider how a novice might struggle with the concepts and make your thinking clear
Have students work through problems on their own. Ask directing questions or give helpful suggestions, but provide only minimal assistance and only when needed to overcome obstacles.
Don’t fear group work ! Students can frequently help each other, and talking about a problem helps them think more critically about the steps needed to solve the problem. Additionally, group work helps students realize that problems often have multiple solution strategies, some that might be more effective than others

Be sensitive

Frequently, when working problems, students are unsure of themselves. This lack of confidence may hamper their learning. It is important to recognize this when students come to us for help, and to give each student some feeling of mastery. Do this by providing positive reinforcement to let students know when they have mastered a new concept or skill.

Encourage Thoroughness and Patience

Try to communicate that the process is more important than the answer so that the student learns that it is OK to not have an instant solution. This is learned through your acceptance of his/her pace of doing things, through your refusal to let anxiety pressure you into giving the right answer, and through your example of problem solving through a step-by step process.

Experts (teachers) in a particular field are often so fluent in solving problems from that field that they can find it difficult to articulate the problem solving principles and strategies they use to novices (students) in their field because these principles and strategies are second nature to the expert. To teach students problem solving skills, a teacher should be aware of principles and strategies of good problem solving in his or her discipline .

The mathematician George Polya captured the problem solving principles and strategies he used in his discipline in the book How to Solve It: A New Aspect of Mathematical Method (Princeton University Press, 1957). The book includes a summary of Polya’s problem solving heuristic as well as advice on the teaching of problem solving.

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Teaching problem solving: Let students get ‘stuck’ and ‘unstuck’

Subscribe to the center for universal education bulletin, kate mills and km kate mills literacy interventionist - red bank primary school helyn kim helyn kim former brookings expert @helyn_kim.

October 31, 2017

This is the second in a six-part blog series on teaching 21st century skills , including problem solving , metacognition , critical thinking , and collaboration , in classrooms.

In the real world, students encounter problems that are complex, not well defined, and lack a clear solution and approach. They need to be able to identify and apply different strategies to solve these problems. However, problem solving skills do not necessarily develop naturally; they need to be explicitly taught in a way that can be transferred across multiple settings and contexts.

Here’s what Kate Mills, who taught 4 th grade for 10 years at Knollwood School in New Jersey and is now a Literacy Interventionist at Red Bank Primary School, has to say about creating a classroom culture of problem solvers:

Helping my students grow to be people who will be successful outside of the classroom is equally as important as teaching the curriculum. From the first day of school, I intentionally choose language and activities that help to create a classroom culture of problem solvers. I want to produce students who are able to think about achieving a particular goal and manage their mental processes . This is known as metacognition , and research shows that metacognitive skills help students become better problem solvers.

I begin by “normalizing trouble” in the classroom. Peter H. Johnston teaches the importance of normalizing struggle , of naming it, acknowledging it, and calling it what it is: a sign that we’re growing. The goal is for the students to accept challenge and failure as a chance to grow and do better.

I look for every chance to share problems and highlight how the students— not the teachers— worked through those problems. There is, of course, coaching along the way. For example, a science class that is arguing over whose turn it is to build a vehicle will most likely need a teacher to help them find a way to the balance the work in an equitable way. Afterwards, I make it a point to turn it back to the class and say, “Do you see how you …” By naming what it is they did to solve the problem , students can be more independent and productive as they apply and adapt their thinking when engaging in future complex tasks.

After a few weeks, most of the class understands that the teachers aren’t there to solve problems for the students, but to support them in solving the problems themselves. With that important part of our classroom culture established, we can move to focusing on the strategies that students might need.

Here’s one way I do this in the classroom:

I show the broken escalator video to the class. Since my students are fourth graders, they think it’s hilarious and immediately start exclaiming, “Just get off! Walk!”

When the video is over, I say, “Many of us, probably all of us, are like the man in the video yelling for help when we get stuck. When we get stuck, we stop and immediately say ‘Help!’ instead of embracing the challenge and trying new ways to work through it.” I often introduce this lesson during math class, but it can apply to any area of our lives, and I can refer to the experience and conversation we had during any part of our day.

Research shows that just because students know the strategies does not mean they will engage in the appropriate strategies. Therefore, I try to provide opportunities where students can explicitly practice learning how, when, and why to use which strategies effectively so that they can become self-directed learners.

For example, I give students a math problem that will make many of them feel “stuck”. I will say, “Your job is to get yourselves stuck—or to allow yourselves to get stuck on this problem—and then work through it, being mindful of how you’re getting yourselves unstuck.” As students work, I check-in to help them name their process: “How did you get yourself unstuck?” or “What was your first step? What are you doing now? What might you try next?” As students talk about their process, I’ll add to a list of strategies that students are using and, if they are struggling, help students name a specific process. For instance, if a student says he wrote the information from the math problem down and points to a chart, I will say: “Oh that’s interesting. You pulled the important information from the problem out and organized it into a chart.” In this way, I am giving him the language to match what he did, so that he now has a strategy he could use in other times of struggle.

The charts grow with us over time and are something that we refer to when students are stuck or struggling. They become a resource for students and a way for them to talk about their process when they are reflecting on and monitoring what did or did not work.

For me, as a teacher, it is important that I create a classroom environment in which students are problem solvers. This helps tie struggles to strategies so that the students will not only see value in working harder but in working smarter by trying new and different strategies and revising their process. In doing so, they will more successful the next time around.

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Establishing Community Agreements and Classroom Norms
Sample group work rubric
Problem-Based Learning Clearinghouse of Activities, University of Delaware

Problem-Based Learning

Problem-based learning  (PBL) is a student-centered approach in which students learn about a subject by working in groups to solve an open-ended problem. This problem is what drives the motivation and the learning. 

Why Use Problem-Based Learning?

Nilson (2010) lists the following learning outcomes that are associated with PBL. A well-designed PBL project provides students with the opportunity to develop skills related to:

Working in teams.
Managing projects and holding leadership roles.
Oral and written communication.
Self-awareness and evaluation of group processes.
Working independently.
Critical thinking and analysis.
Explaining concepts.
Self-directed learning.
Applying course content to real-world examples.
Researching and information literacy.
Problem solving across disciplines.

Considerations for Using Problem-Based Learning

Rather than teaching relevant material and subsequently having students apply the knowledge to solve problems, the problem is presented first. PBL assignments can be short, or they can be more involved and take a whole semester. PBL is often group-oriented, so it is beneficial to set aside classroom time to prepare students to  work in groups  and to allow them to engage in their PBL project.

Students generally must:

Examine and define the problem.
Explore what they already know about underlying issues related to it.
Determine what they need to learn and where they can acquire the information and tools necessary to solve the problem.
Evaluate possible ways to solve the problem.
Solve the problem.
Report on their findings.

Getting Started with Problem-Based Learning

Articulate the learning outcomes of the project. What do you want students to know or be able to do as a result of participating in the assignment?
Create the problem. Ideally, this will be a real-world situation that resembles something students may encounter in their future careers or lives. Cases are often the basis of PBL activities. Previously developed PBL activities can be found online through the University of Delaware’s PBL Clearinghouse of Activities .
Establish ground rules at the beginning to prepare students to work effectively in groups.
Introduce students to group processes and do some warm up exercises to allow them to practice assessing both their own work and that of their peers.
Consider having students take on different roles or divide up the work up amongst themselves. Alternatively, the project might require students to assume various perspectives, such as those of government officials, local business owners, etc.
Establish how you will evaluate and assess the assignment. Consider making the self and peer assessments a part of the assignment grade.

Nilson, L. B. (2010). Teaching at its best: A research-based resource for college instructors (2nd ed.).  San Francisco, CA: Jossey-Bass. 

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Problem Solving in STEM

Solving problems is a key component of many science, math, and engineering classes. If a goal of a class is for students to emerge with the ability to solve new kinds of problems or to use new problem-solving techniques, then students need numerous opportunities to develop the skills necessary to approach and answer different types of problems. Problem solving during section or class allows students to develop their confidence in these skills under your guidance, better preparing them to succeed on their homework and exams. This page offers advice about strategies for facilitating problem solving during class.

How do I decide which problems to cover in section or class?

In-class problem solving should reinforce the major concepts from the class and provide the opportunity for theoretical concepts to become more concrete. If students have a problem set for homework, then in-class problem solving should prepare students for the types of problems that they will see on their homework. You may wish to include some simpler problems both in the interest of time and to help students gain confidence, but it is ideal if the complexity of at least some of the in-class problems mirrors the level of difficulty of the homework. You may also want to ask your students ahead of time which skills or concepts they find confusing, and include some problems that are directly targeted to their concerns.

You have given your students a problem to solve in class. What are some strategies to work through it?

Try to give your students a chance to grapple with the problems as much as possible. Offering them the chance to do the problem themselves allows them to learn from their mistakes in the presence of your expertise as their teacher. (If time is limited, they may not be able to get all the way through multi-step problems, in which case it can help to prioritize giving them a chance to tackle the most challenging steps.)
When you do want to teach by solving the problem yourself at the board, talk through the logic of how you choose to apply certain approaches to solve certain problems. This way you can externalize the type of thinking you hope your students internalize when they solve similar problems themselves.
Start by setting up the problem on the board (e.g you might write down key variables and equations; draw a figure illustrating the question). Ask students to start solving the problem, either independently or in small groups. As they are working on the problem, walk around to hear what they are saying and see what they are writing down. If several students seem stuck, it might be a good to collect the whole class again to clarify any confusion. After students have made progress, bring the everyone back together and have students guide you as to what to write on the board.
It can help to first ask students to work on the problem by themselves for a minute, and then get into small groups to work on the problem collaboratively.
If you have ample board space, have students work in small groups at the board while solving the problem. That way you can monitor their progress by standing back and watching what they put up on the board.
If you have several problems you would like to have the students practice, but not enough time for everyone to do all of them, you can assign different groups of students to work on different – but related - problems.

When do you want students to work in groups to solve problems?

Don’t ask students to work in groups for straightforward problems that most students could solve independently in a short amount of time.
Do have students work in groups for thought-provoking problems, where students will benefit from meaningful collaboration.
Even in cases where you plan to have students work in groups, it can be useful to give students some time to work on their own before collaborating with others. This ensures that every student engages with the problem and is ready to contribute to a discussion.

What are some benefits of having students work in groups?

Students bring different strengths, different knowledge, and different ideas for how to solve a problem; collaboration can help students work through problems that are more challenging than they might be able to tackle on their own.
In working in a group, students might consider multiple ways to approach a problem, thus enriching their repertoire of strategies.
Students who think they understand the material will gain a deeper understanding by explaining concepts to their peers.

What are some strategies for helping students to form groups?

Instruct students to work with the person (or people) sitting next to them.
Count off. (e.g. 1, 2, 3, 4; all the 1’s find each other and form a group, etc)
Hand out playing cards; students need to find the person with the same number card. (There are many variants to this. For example, you can print pictures of images that go together [rain and umbrella]; each person gets a card and needs to find their partner[s].)
Based on what you know about the students, assign groups in advance. List the groups on the board.
Note: Always have students take the time to introduce themselves to each other in a new group.

What should you do while your students are working on problems?

Walk around and talk to students. Observing their work gives you a sense of what people understand and what they are struggling with. Answer students’ questions, and ask them questions that lead in a productive direction if they are stuck.
If you discover that many people have the same question—or that someone has a misunderstanding that others might have—you might stop everyone and discuss a key idea with the entire class.

After students work on a problem during class, what are strategies to have them share their answers and their thinking?

Ask for volunteers to share answers. Depending on the nature of the problem, student might provide answers verbally or by writing on the board. As a variant, for questions where a variety of answers are relevant, ask for at least three volunteers before anyone shares their ideas.
Use online polling software for students to respond to a multiple-choice question anonymously.
If students are working in groups, assign reporters ahead of time. For example, the person with the next birthday could be responsible for sharing their group’s work with the class.
Cold call. To reduce student anxiety about cold calling, it can help to identify students who seem to have the correct answer as you were walking around the class and checking in on their progress solving the assigned problem. You may even want to warn the student ahead of time: "This is a great answer! Do you mind if I call on you when we come back together as a class?"
Have students write an answer on a notecard that they turn in to you. If your goal is to understand whether students in general solved a problem correctly, the notecards could be submitted anonymously; if you wish to assess individual students’ work, you would want to ask students to put their names on their notecard.
Use a jigsaw strategy, where you rearrange groups such that each new group is comprised of people who came from different initial groups and had solved different problems. Students now are responsible for teaching the other students in their new group how to solve their problem.
Have a representative from each group explain their problem to the class.
Have a representative from each group draw or write the answer on the board.

What happens if a student gives a wrong answer?

Ask for their reasoning so that you can understand where they went wrong.
Ask if anyone else has other ideas. You can also ask this sometimes when an answer is right.
Cultivate an environment where it’s okay to be wrong. Emphasize that you are all learning together, and that you learn through making mistakes.
Do make sure that you clarify what the correct answer is before moving on.
Once the correct answer is given, go through some answer-checking techniques that can distinguish between correct and incorrect answers. This can help prepare students to verify their future work.

How can you make your classroom inclusive?

The goal is that everyone is thinking, talking, and sharing their ideas, and that everyone feels valued and respected. Use a variety of teaching strategies (independent work and group work; allow students to talk to each other before they talk to the class). Create an environment where it is normal to struggle and make mistakes.
See Kimberly Tanner’s article on strategies to promoste student engagement and cultivate classroom equity.

A few final notes…

Make sure that you have worked all of the problems and also thought about alternative approaches to solving them.
Board work matters. You should have a plan beforehand of what you will write on the board, where, when, what needs to be added, and what can be erased when. If students are going to write their answers on the board, you need to also have a plan for making sure that everyone gets to the correct answer. Students will copy what is on the board and use it as their notes for later study, so correct and logical information must be written there.

For more information...

Tipsheet: Problem Solving in STEM Sections

Tanner, K. D. (2013). Structure matters: twenty-one teaching strategies to promote student engagement and cultivate classroom equity . CBE-Life Sciences Education, 12(3), 322-331.

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Teaching Problem-Solving Skills

Many instructors design opportunities for students to solve “problems”. But are their students solving true problems or merely participating in practice exercises? The former stresses critical thinking and decision making skills whereas the latter requires only the application of previously learned procedures.

Problem solving is often broadly defined as "the ability to understand the environment, identify complex problems, review related information to develop, evaluate strategies and implement solutions to build the desired outcome" (Fissore, C. et al, 2021). True problem solving is the process of applying a method – not known in advance – to a problem that is subject to a specific set of conditions and that the problem solver has not seen before, in order to obtain a satisfactory solution.

Below you will find some basic principles for teaching problem solving and one model to implement in your classroom teaching.

Principles for teaching problem solving

Model a useful problem-solving method . Problem solving can be difficult and sometimes tedious. Show students how to be patient and persistent, and how to follow a structured method, such as Woods’ model described below. Articulate your method as you use it so students see the connections.
Teach within a specific context . Teach problem-solving skills in the context in which they will be used by students (e.g., mole fraction calculations in a chemistry course). Use real-life problems in explanations, examples, and exams. Do not teach problem solving as an independent, abstract skill.
Help students understand the problem . In order to solve problems, students need to define the end goal. This step is crucial to successful learning of problem-solving skills. If you succeed at helping students answer the questions “what?” and “why?”, finding the answer to “how?” will be easier.
Take enough time . When planning a lecture/tutorial, budget enough time for: understanding the problem and defining the goal (both individually and as a class); dealing with questions from you and your students; making, finding, and fixing mistakes; and solving entire problems in a single session.
Ask questions and make suggestions . Ask students to predict “what would happen if …” or explain why something happened. This will help them to develop analytical and deductive thinking skills. Also, ask questions and make suggestions about strategies to encourage students to reflect on the problem-solving strategies that they use.
Link errors to misconceptions . Use errors as evidence of misconceptions, not carelessness or random guessing. Make an effort to isolate the misconception and correct it, then teach students to do this by themselves. We can all learn from mistakes.

Woods’ problem-solving model

Define the problem.

The system . Have students identify the system under study (e.g., a metal bridge subject to certain forces) by interpreting the information provided in the problem statement. Drawing a diagram is a great way to do this.
Known(s) and concepts . List what is known about the problem, and identify the knowledge needed to understand (and eventually) solve it.
Unknown(s) . Once you have a list of knowns, identifying the unknown(s) becomes simpler. One unknown is generally the answer to the problem, but there may be other unknowns. Be sure that students understand what they are expected to find.
Units and symbols . One key aspect in problem solving is teaching students how to select, interpret, and use units and symbols. Emphasize the use of units whenever applicable. Develop a habit of using appropriate units and symbols yourself at all times.
Constraints . All problems have some stated or implied constraints. Teach students to look for the words "only", "must", "neglect", or "assume" to help identify the constraints.
Criteria for success . Help students consider, from the beginning, what a logical type of answer would be. What characteristics will it possess? For example, a quantitative problem will require an answer in some form of numerical units (e.g., $/kg product, square cm, etc.) while an optimization problem requires an answer in the form of either a numerical maximum or minimum.

Think about it

“Let it simmer”. Use this stage to ponder the problem. Ideally, students will develop a mental image of the problem at hand during this stage.
Identify specific pieces of knowledge . Students need to determine by themselves the required background knowledge from illustrations, examples and problems covered in the course.
Collect information . Encourage students to collect pertinent information such as conversion factors, constants, and tables needed to solve the problem.

Plan a solution

Consider possible strategies . Often, the type of solution will be determined by the type of problem. Some common problem-solving strategies are: compute; simplify; use an equation; make a model, diagram, table, or chart; or work backwards.
Choose the best strategy . Help students to choose the best strategy by reminding them again what they are required to find or calculate.

Carry out the plan

Be patient . Most problems are not solved quickly or on the first attempt. In other cases, executing the solution may be the easiest step.
Be persistent . If a plan does not work immediately, do not let students get discouraged. Encourage them to try a different strategy and keep trying.

Encourage students to reflect. Once a solution has been reached, students should ask themselves the following questions:

Does the answer make sense?
Does it fit with the criteria established in step 1?
Did I answer the question(s)?
What did I learn by doing this?
Could I have done the problem another way?

If you would like support applying these tips to your own teaching, CTE staff members are here to help. View the CTE Support page to find the most relevant staff member to contact.

Fissore, C., Marchisio, M., Roman, F., & Sacchet, M. (2021). Development of problem solving skills with Maple in higher education. In: Corless, R.M., Gerhard, J., Kotsireas, I.S. (eds) Maple in Mathematics Education and Research. MC 2020. Communications in Computer and Information Science, vol 1414. Springer, Cham. https://doi.org/10.1007/978-3-030-81698-8_15
Foshay, R., & Kirkley, J. (1998). Principles for Teaching Problem Solving. TRO Learning Inc., Edina MN. (PDF) Principles for Teaching Problem Solving (researchgate.net)
Hayes, J.R. (1989). The Complete Problem Solver. 2nd Edition. Hillsdale, NJ: Lawrence Erlbaum Associates.
Woods, D.R., Wright, J.D., Hoffman, T.W., Swartman, R.K., Doig, I.D. (1975). Teaching Problem solving Skills.
Engineering Education. Vol 1, No. 1. p. 238. Washington, DC: The American Society for Engineering Education.

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Problem Solving in the Classroom

Success Story

Last week during our class meetings, I noticed a disturbing habit developing among my students. Sometimes they don't want to switch seats and move away from their best friends, and sometimes they want to be the last one standing (when we do an activity that has us sit down after our turn). Then we talked about how this might make everyone else feel and how it might affect our class community. We agreed that this was a problem because it did not make everyone feel welcome. Finally, I asked them for suggestions to solve the problem.

We have been working on problem solving all year. I started by teaching my students that solutions always need to be related, respectful, reasonable, and helpful. This is a challenge for students who often think of punishments before solutions. As we started talking about possible solutions to this problem, the first few solutions were not surprisingly more like punishments, such as, having the culprits sit out of future greetings and activities until they were being kind, or skipping offenders in the circle. However, the more we talked, the more they began to consider ways to prevent the problem from even occurring. Eventually we settled on two possible preventative solutions:

1) they could come to the circle separately and choose a place to sit away from close friends so they wouldn't be tempted to resist moving.

2) we could make assigned seats around the circle so that no one would feel uncomfortable about moving if necessary.

At this point, I told the class I would consider both solutions. It seems that I've taught them well about how to solve problems fairly because immediately one student suggested that I let the class vote. It was hard to argue with her logic and truthfully both solutions were acceptable. So this morning we had a vote. I had the kids close their eyes and raise their hands. They voted (20-3) to have assigned seats. When they opened their eyes and I announced the winning solution they started fist pumping with excitement.

I couldn't help but smile. I could never have imagined such a positive reaction to the idea of assigned seats for class activities. In fact, I suspect that had I forced the idea of assigned seats on them as a "punishment" or consequence, I would have heard lots of complaints and frustration. Yet when they could appreciate the problem and come to the solution on their own, they were more than willing to accept the idea. We immediately created a chart with assigned circle seats and by the afternoon they were already reminding each other where they needed to sit. Love it! Sarah Werstuik, Washington, D.C.

Teach Students the 4 Problem-Solving Steps

Another way to solve problems in the classroom is to teach students the 4 Problem-Solving Steps.

Post a copy of the 4 Problem-Solving Steps where students can refer to it (maybe next to a "peace table").

Problem-Solving Steps

Do something else. (Find another game or activity.)
Leave long enough for a cooling-off period, then follow-up with the next steps.
Tell the other person how you feel. Let him or her know you don’t like what is happening.
Listen to what the other person says about how he or she feels and what he or she doesn’t like.
Share what you think you did to contribute to the problem.
Tell the other person what you are willing to do differently.
Work out a plan for sharing or taking turns.
Put it on the class meeting agenda. (This can also be a first choice and is not meant as a last resort.)
Talk it over with a parent, teacher, or friend.

After discussing these skills, have the children role-play the following hypothetical situations. Have them solve each of the situations four different ways (one for each of the steps).

Fighting over whose turn it is to use the tetherball.
Shoving in line.
Calling people bad names.
Fighting over whose turn it is to sit by the window in the car or bus.

Teachers can put the Four Problem-Solving Steps on a laminated poster for students to refer to. Some teachers require that children use these steps before they put a problem on the agenda. Other teachers prefer the class meeting process because it teaches other skills. Instead of making one better than the other (class meeting or one-on-one), let children choose which option they would prefer at the moment.

This tool and many others can be found in the Positive Discipline Teacher Tool Cards .

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The Problem-solving Classroom

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Problem-Solving

Jabberwocky

Problem-solving is the ability to identify and solve problems by applying appropriate skills systematically.

Problem-solving is a process—an ongoing activity in which we take what we know to discover what we don't know. It involves overcoming obstacles by generating hypo-theses, testing those predictions, and arriving at satisfactory solutions.

Problem-solving involves three basic functions:

Seeking information

Generating new knowledge

Making decisions

Problem-solving is, and should be, a very real part of the curriculum. It presupposes that students can take on some of the responsibility for their own learning and can take personal action to solve problems, resolve conflicts, discuss alternatives, and focus on thinking as a vital element of the curriculum. It provides students with opportunities to use their newly acquired knowledge in meaningful, real-life activities and assists them in working at higher levels of thinking (see Levels of Questions ).

Here is a five-stage model that most students can easily memorize and put into action and which has direct applications to many areas of the curriculum as well as everyday life:

Expert Opinion

Here are some techniques that will help students understand the nature of a problem and the conditions that surround it:

List all related relevant facts.
Make a list of all the given information.
Restate the problem in their own words.
List the conditions that surround a problem.
Describe related known problems.

It's Elementary

For younger students, illustrations are helpful in organizing data, manipulating information, and outlining the limits of a problem and its possible solution(s). Students can use drawings to help them look at a problem from many different perspectives.

Understand the problem. It's important that students understand the nature of a problem and its related goals. Encourage students to frame a problem in their own words.

Describe any barriers. Students need to be aware of any barriers or constraints that may be preventing them from achieving their goal. In short, what is creating the problem? Encouraging students to verbalize these impediments is always an important step.

Identify various solutions. After the nature and parameters of a problem are understood, students will need to select one or more appropriate strategies to help resolve the problem. Students need to understand that they have many strategies available to them and that no single strategy will work for all problems. Here are some problem-solving possibilities:

Create visual images. Many problem-solvers find it useful to create “mind pictures” of a problem and its potential solutions prior to working on the problem. Mental imaging allows the problem-solvers to map out many dimensions of a problem and “see” it clearly.

Guesstimate. Give students opportunities to engage in some trial-and-error approaches to problem-solving. It should be understood, however, that this is not a singular approach to problem-solving but rather an attempt to gather some preliminary data.

Create a table. A table is an orderly arrangement of data. When students have opportunities to design and create tables of information, they begin to understand that they can group and organize most data relative to a problem.

Use manipulatives. By moving objects around on a table or desk, students can develop patterns and organize elements of a problem into recognizable and visually satisfying components.

Work backward. It's frequently helpful for students to take the data presented at the end of a problem and use a series of computations to arrive at the data presented at the beginning of the problem.

Look for a pattern. Looking for patterns is an important problem-solving strategy because many problems are similar and fall into predictable patterns. A pattern, by definition, is a regular, systematic repetition and may be numerical, visual, or behavioral.

Create a systematic list. Recording information in list form is a process used quite frequently to map out a plan of attack for defining and solving problems. Encourage students to record their ideas in lists to determine regularities, patterns, or similarities between problem elements.

Try out a solution. When working through a strategy or combination of strategies, it will be important for students to …

Keep accurate and up-to-date records of their thoughts, proceedings, and procedures. Recording the data collected, the predictions made, and the strategies used is an important part of the problem solving process.

Try to work through a selected strategy or combination of strategies until it becomes evident that it's not working, it needs to be modified, or it is yielding inappropriate data. As students become more proficient problem-solvers, they should feel comfortable rejecting potential strategies at any time during their quest for solutions.

Monitor with great care the steps undertaken as part of a solution. Although it might be a natural tendency for students to “rush” through a strategy to arrive at a quick answer, encourage them to carefully assess and monitor their progress.

Feel comfortable putting a problem aside for a period of time and tackling it at a later time. For example, scientists rarely come up with a solution the first time they approach a problem. Students should also feel comfortable letting a problem rest for a while and returning to it later.

Evaluate the results. It's vitally important that students have multiple opportunities to assess their own problem-solving skills and the solutions they generate from using those skills. Frequently, students are overly dependent upon teachers to evaluate their performance in the classroom. The process of self-assessment is not easy, however. It involves risk-taking, self-assurance, and a certain level of independence. But it can be effectively promoted by asking students questions such as “How do you feel about your progress so far?” “Are you satisfied with the results you obtained?” and “Why do you believe this is an appropriate response to the problem?”

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5 Problem-Solving Activities for Elementary Classrooms

Classroom problem-solving activities teach children how to engage problems rather than to become frustrated with them. Teachers have the opportunity to teach children the proper methods for dealing with stressful situations, complex problems, and fast decision-making. While a teacher is unlikely to actually put the child into a difficult or otherwise harmful situation, he or she can use activities to teach the child how to handle such situations later on in life.

Teach the problems

To solve any problem, students must go through a process to do so. The teacher can explore this process with students as a group. The first step is to fully understand the problem. To teach this, ask students to describe the problem in their own words. This ensures the student is able to comprehend and express the concern at hand. Then, they must describe and understand the barriers presented. At this point, it’s a good idea to provide ways for the student to find a solution. That’s where activities come into play.

The following are five activities elementary teachers can use to teach problem-solving to students. Teaching students to identify the possible solutions requires approaching the problem in various ways.

No. 1 – Create a visual image

One option is to teach children to create a visual image of the situation. Many times, this is an effective problem-solving skill. They are able to close their eyes and create a mind picture of the problem. For younger students, it may be helpful to draw out the problem they see on a piece of paper.

Ask the child to then discuss possible solutions to the problem. This could be done by visualizing what would happen if one action is taken or if another action is taken. By creating these mental images, the student is fully engaged and can map out any potential complications to their proposed solution.

No. 2 – Use manipulatives

Another activity that is ideal for children is to use manipulatives. In a situation where the problem is space-related, for example the children can move their desks around in various ways to create a pattern or to better visualize the problem. It’s also possible to use simple objects on a table, such as blocks, to create patterns or to set up a problem. This is an ideal way to teach problem-solving skills for math.

By doing this, it takes a problem, often a word problem that’s hard for some students to visualize, and places it in front of the student in a new way. The child is then able to organize the situation into something he or she understands.

No. 3 – Make a guess

Guessing is a very effective problem-solving skill. For those children who are unlikely to actually take action but are likely to sit and ponder until the right answer hits them, guessing is a critical step in problem-solving. This approach involves trial and error.

Rather than approaching guessing as a solution to problems (you do not want children to think they can always guess), teach that it is a way to gather more data. If, for example, they do not know enough about the situation to make a full decision, by guessing, they can gather more facts from the outcome and use that to find the right answer.

No. 4 – Patterns

No matter if the problem relates to social situations or if it is something that has to do with science, patterns are present. By teaching children to look for patterns, they can see what is happening more fully.

For example, define what a pattern is. Then, have the child look for any type of pattern in the context. If the children are solving a mystery, for example, they can look for patterns in time, place or people to better gather facts.

No. 5 – Making a list

Another effective tool is list making. Teach children how to make a list of all of the ideas they come up with right away. Brainstorming is a fun activity in any subject. Then, the child is able to work through the list to determine which options are problems or not.

Classroom problem-solving activities like these engage a group or a single student. They teach not what the answer is, but how the student can find that answer.

5 Ways to Encourage Problem-Solving in your Classroom

A blog from osiris educational.

Osiris Admin
August 25, 2021

On average a teacher spends 86% of the time talking during a lesson. We are not giving our students the chance or the time to identify, solve and make their own mistakes.

How can we ensure they are learning the skills they need most without this vital part of the process?

Problem-solving skills are a necessary part of life and we as educators need to make sure students are prepped and ready to take on any issues they may be faced with.

The ability to identify, analyse and work out a solution is a valuable skill that is not only useful in the classroom, but also outside of school time. Implementing such practices into your classroom plan will help improve cognitive and social development. Once equipped with the tools they need to address and solve problems, students begin to take more control of their learning experience.

Here are 5 ways you can support problem-solving in your classroom:

1. Problem Solve as a Group

Have your students think aloud in a group setting. This allows for critical analysis and the chance to bounce solutions off each other. Introduce a two-column system whereby, the first column shows their idea to solve the issue and the second is the reasoning behind the idea. This helps students think about their own problem-solving skills and promotes cooperation whilst creating a solution.

2. Explain and Encourage

Explain the problem and encourage your students to think about why the task is important. Why is the way they came to a solution more important than the solution itself? Explain what skills they are gaining, why those skills will help and how a step-by-step process is better than a quick answer.

3. Time and Patience

Our basic nature means we want answers quick and fast without doing the work. Your students will want to race to the finish line with the quickest thought. We must show them that time and patience improve problem-solving and provides us with a clearer answer. Reminding your students that it is not a competition and not a race to finish first is essential.

4. Ask Questions and Reflect

Get your classroom thinking. Ask questions throughout the problem-solving task. Give them a chance to reflect. Once they have come to a solution, ask your students these questions:

Why did you choose that method?
Does this solve your problem the most efficient way?
What did you learn by solving this problem?
Could you have done this a different way?

5. Let them Learn

The hardest part. Hands off, let them work. As educators, we are eager to help, give answers and make sure our students are doing it the right way. To allow for success in problem-solving, we must allow them to make mistakes and work it out for themselves. Upon reflection, of course, make suggestions. Show them how you would do it, but these skills must be developed independently. After all, they won’t have you to guide them forever!

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20 Effective Math Strategies To Approach Problem-Solving

Katie Keeton

Math strategies for problem-solving help students use a range of approaches to solve many different types of problems. It involves identifying the problem and carrying out a plan of action to find the answer to mathematical problems.

Problem-solving skills are essential to math in the general classroom and real-life. They require logical reasoning and critical thinking skills. students must be equipped with strategies to help them find solutions to problems.

This article explores mathematical problem solving strategies, logical reasoning and critical thinking skills to help learners with solving math word problems independently in real-life situations.

What are problem-solving strategies?

Problem-solving strategies in math are methods students can use to figure out solutions to math problems. Some problem-solving strategies:

Draw a model
Use different approaches
Check the inverse to make sure the answer is correct

Students need to have a toolkit of math problem-solving strategies at their disposal to provide different ways to approach math problems. This makes it easier to find solutions and understand math better.

Strategies can help guide students to the solution when it is difficult ot know when to start.

The ultimate guide to problem solving techniques

Download these ready-to-go problem solving techniques that every student should know. Includes printable tasks for students including challenges, short explanations for teachers with questioning prompts.

20 Math Strategies For Problem-Solving

Different problem-solving math strategies are required for different parts of the problem. It is unlikely that students will use the same strategy to understand and solve the problem.

Here are 20 strategies to help students develop their problem-solving skills.

Strategies to understand the problem

Strategies that help students understand the problem before solving it helps ensure they understand:

The context
What the key information is
How to form a plan to solve it

Following these steps leads students to the correct solution and makes the math word problem easier .

Here are five strategies to help students understand the content of the problem and identify key information.

1. Read the problem aloud

Read a word problem aloud to help understand it. Hearing the words engages auditory processing. This can make it easier to process and comprehend the context of the situation.

2. Highlight keywords

When keywords are highlighted in a word problem, it helps the student focus on the essential information needed to solve it. Some important keywords help determine which operation is needed. For example, if the word problem asks how many are left, the problem likely requires subtraction. Ensure students highlight the keywords carefully and do not highlight every number or keyword. There is likely irrelevant information in the word problem.

3. Summarize the information

Read the problem aloud, highlight the key information and then summarize the information. Students can do this in their heads or write down a quick summary. Summaries should include only the important information and be in simple terms that help contextualize the problem.

4. Determine the unknown

A common problem that students have when solving a word problem is misunderstanding what they are solving. Determine what the unknown information is before finding the answer. Often, a word problem contains a question where you can find the unknown information you need to solve. For example, in the question ‘How many apples are left?’ students need to find the number of apples left over.

5. Make a plan

Once students understand the context of the word problem, have dentified the important information and determined the unknown, they can make a plan to solve it. The plan will depend on the type of problem. Some problems involve more than one step to solve them as some require more than one answer. Encourage students to make a list of each step they need to take to solve the problem before getting started.

Strategies for solving the problem

1. draw a model or diagram.

Students may find it useful to draw a model, picture, diagram, or other visual aid to help with the problem solving process. It can help to visualize the problem to understand the relationships between the numbers in the problem. In turn, this helps students see the solution.

math problem that needs a problem solving strategy

Similarly, you could draw a model to represent the objects in the problem:

2. Act it out

This particular strategy is applicable at any grade level but is especially helpful in math investigation in elementary school . It involves a physical demonstration or students acting out the problem using movements, concrete resources and math manipulatives . When students act out a problem, they can visualize and contectualize the word problem in another way and secure an understanding of the math concepts. The examples below show how 1st-grade students could “act out” an addition and subtraction problem:

3. Work backwards

Working backwards is a popular problem-solving strategy. It involves starting with a possible solution and deciding what steps to take to arrive at that solution. This strategy can be particularly helpful when students solve math word problems involving multiple steps. They can start at the end and think carefully about each step taken as opposed to jumping to the end of the problem and missing steps in between.

For example,

To solve this problem working backwards, start with the final condition, which is Sam’s grandmother’s age (71) and work backwards to find Sam’s age. Subtract 20 from the grandmother’s age, which is 71. Then, divide the result by 3 to get Sam’s age. 71 – 20 = 51 51 ÷ 3 = 17 Sam is 17 years old.

4. Write a number sentence

When faced with a word problem, encourage students to write a number sentence based on the information. This helps translate the information in the word problem into a math equation or expression, which is more easily solved. It is important to fully understand the context of the word problem and what students need to solve before writing an equation to represent it.

5. Use a formula

Specific formulas help solve many math problems. For example, if a problem asks students to find the area of a rug, they would use the area formula (area = length × width) to solve. Make sure students know the important mathematical formulas they will need in tests and real-life. It can help to display these around the classroom or, for those who need more support, on students’ desks.

Strategies for checking the solution

Once the problem is solved using an appropriate strategy, it is equally important to check the solution to ensure it is correct and makes sense.

There are many strategies to check the solution. The strategy for a specific problem is dependent on the problem type and math content involved.

Here are five strategies to help students check their solutions.

1. Use the Inverse Operation

For simpler problems, a quick and easy problem solving strategy is to use the inverse operation. For example, if the operation to solve a word problem is 56 ÷ 8 = 7 students can check the answer is correct by multiplying 8 × 7. As good practice, encourage students to use the inverse operation routinely to check their work.

2. Estimate to check for reasonableness

Once students reach an answer, they can use estimation or rounding to see if the answer is reasonable. Round each number in the equation to a number that’s close and easy to work with, usually a multiple of ten. For example, if the question was 216 ÷ 18 and the quotient was 12, students might round 216 to 200 and round 18 to 20. Then use mental math to solve 200 ÷ 20, which is 10. When the estimate is clear the two numbers are close. This means your answer is reasonable.

3. Plug-In Method

This method is particularly useful for algebraic equations. Specifically when working with variables. To use the plug-in method, students solve the problem as asked and arrive at an answer. They can then plug the answer into the original equation to see if it works. If it does, the answer is correct.

If students use the equation 20m+80=300 to solve this problem and find that m = 11, they can plug that value back into the equation to see if it is correct. 20m + 80 = 300 20 (11) + 80 = 300 220 + 80 = 300 300 = 300 ✓

4. Peer Review

Peer review is a great tool to use at any grade level as it promotes critical thinking and collaboration between students. The reviewers can look at the problem from a different view as they check to see if the problem was solved correctly. Problem solvers receive immediate feedback and the opportunity to discuss their thinking with their peers. This strategy is effective with mixed-ability partners or similar-ability partners. In mixed-ability groups, the partner with stronger skills provides guidance and support to the partner with weaker skills, while reinforcing their own understanding of the content and communication skills. If partners have comparable ability levels and problem-solving skills, they may find that they approach problems differently or have unique insights to offer each other about the problem-solving process.

5. Use a Calculator

A calculator can be introduced at any grade level but may be best for older students who already have a foundational understanding of basic math operations. Provide students with a calculator to allow them to check their solutions independently, accurately, and quickly. Since calculators are so readily available on smartphones and tablets, they allow students to develop practical skills that apply to real-world situations.

Step-by-step problem-solving processes for your classroom

In his book, How to Solve It , published in 1945, mathematician George Polya introduced a 4-step process to solve problems.

Polya’s 4 steps include:

Understand the problem
Devise a plan
Carry out the plan

Today, in the style of George Polya, many problem-solving strategies use various acronyms and steps to help students recall.

Many teachers create posters and anchor charts of their chosen process to display in their classrooms. They can be implemented in any elementary, middle school or high school classroom.

Here are 5 problem-solving strategies to introduce to students and use in the classroom.

How Third Space Learning improves problem-solving

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Third Space Learning offers a free resource library is filled with hundreds of high-quality resources. A team of experienced math experts carefully created each resource to develop students mental arithmetic, problem solving and critical thinking.

Explore the range of problem solving resources for 2nd to 8th grade students.

One-on-one tutoring

Third Space Learning offers one-on-one math tutoring to help students improve their math skills. Highly qualified tutors deliver high-quality lessons aligned to state standards.

Former teachers and math experts write all of Third Space Learning’s tutoring lessons. Expertly designed lessons follow a “my turn, follow me, your turn” pedagogy to help students move from guided instruction and problem-solving to independent practice.

Throughout each lesson, tutors ask higher-level thinking questions to promote critical thinking and ensure students are developing a deep understanding of the content and problem-solving skills.

Problem-solving

Educators can use many different strategies to teach problem-solving and help students develop and carry out a plan when solving math problems. Incorporate these math strategies into any math program and use them with a variety of math concepts, from whole numbers and fractions to algebra.

Teaching students how to choose and implement problem-solving strategies helps them develop mathematical reasoning skills and critical thinking they can apply to real-life problem-solving.

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6 strategies to instill problem-solving skills in students.

Critical Thinking In Students: 6 Top Strategies

Why Developing Problem-Solving Skills Is Important

Problem-solving is defined as the ability to quickly solve any given problem with ease. This requires convergent and divergent thinking skills. Convergent thinking is a process aimed to deduce a concrete solution to a problem. And, the process of exploring all the possible solutions to analyze and generate creative ideas is called divergent thinking.

People with good problem-solving skills are indeed an asset to society. Problem-solving also plays a vital role in child development. These skillsets are much sought-after in this competitive world and are therefore imperative for general life and workplace success .

Problem-solving is an important 21st-century skill because it determines one’s personal development, employment prospects, and overall contribution to society.

6 Practical Ways To Foster Critical Thinking In Students

1. promote skill building through self-directed learning .

Research [1] proved that self-directed learning promotes critical thinking in students as it allows them to fully explore their creative and imaginative sides. It fosters the ability of independent thinking in students and eventually promotes a sense of self-actualization in them. Today, the principle of autonomous learning is applied in most visionary schooling platforms because it is the most credible way to inculcate this new-age skill in young learners.

This methodology perfectly suits middle and high school students because they enjoy the process of discovery learning and are capable of drawing conclusions in the light of facts.

As a parent, you need to be a facilitator in this process and understand the importance of problem-solving skills in kids. The simplest way to do this is to allow some independent thinking time after the instructional delivery and encourage multiple original ideas by promoting divergent thinking. All this fosters advanced reasoning abilities in students and promotes critical thinking for advanced problem-solving.

Top educators from great-quality accredited online schools make use of these strategies, along with several other eLearning skills , and guide the learners throughout the process of gathering, prioritizing, interpreting, and concluding information.

2. Encourage Brainstorming In A Non-Judgmental Environment

Problem-solving in child development is a game-changer for success later in life. So, try to create the right atmosphere for kids at home to nurture this core competency.

A non-judgmental environment is always free from negative criticism and sarcasm. Allow children to voice opinions freely and make sure there is enough positive reinforcement for all genuine attempts.

Individual brainstorming is the best to craft creative solutions for less complex issues because it allows individuals to break free from regular, conventional ideas while interacting in a more positive environment.

Support your kid for more and more lateral/parallel thinking and appreciate all out-of-box/innovative responses.

3. Strengthen The Components Of Problem-Solving

Another way to foster problem-solving skills in learners is by strengthening the decision-making component of the problem-solving process. Decision-making skills are imperative to solve problems because they help to weigh the advantages and disadvantages before reaching a conclusion.

Encourage kids to make choices between possible alternatives and make this fun by trying out everyday basic choices like food, books, movies, sports, etc. Make sure you allow kids to take charge of these decisions and intervene with your logical and valid inputs. Remember that it is essential to understand the importance of problem-solving skills in kids. So, try to create enough such opportunities for young learners.

These practices will develop habits of analyzing situations from multiple dimensions and eventually, children will learn to research and preempt the repercussions of their individual choices.

4. Use The Best Techniques Of Some Researched Theories

Some great psychological theories can be easily applied in real-life situations. As a parent, you can foster these relevant problem-solving skills in the child by incorporating some components of popular theories.

Let me explain this through some examples:

Use the theory of "psychological distancing" [2] to disconnect children from their emotions while solving the problem. It will help them see the bigger picture of the issue by viewing it from a wider perspective. This strategy eliminates the chances of biases and selective understanding based on personal preferences and therefore, helps in viewing issues through multiple perspectives.

Another helpful strategy can be the "heuristic framework" [3], which can help foster advanced thinking abilities by breaking information into smaller and more comprehensive parts. With middle and high schoolers, you can try its component of backward planning effectively. This strategy can be mindfully implemented in any day-to-day situation, like planning for a get-together or estimating monthly expenses for budget planning. Encourage responses in a way that starts from the most distant challenges like month-end crunch/emergency funds, etc., and look for these solutions before planning the immediate requirements.

5. Be A Positive Role Model

As parents, we can also foster problem-solving skills through numerous informal interactions and behaviors. Our own approach toward solving problems largely influences our children's abilities because there is a powerful impact on the family atmosphere and parenting in the critical habit formation stages.

Look for opportunities to involve children in problematic situations and create some hypothetical ones if you do not have real ones. Involve children in discussions that need deep thinking; for example, preparations for extreme weather change or changing some business strategies (like hoarding raw material) to bring down the investments of a family business.

Be a structured and organized problem solver yourself and present your thoughts in the most logical and sequential manner. Support children's efforts throughout and share your input about their dilemmas. The importance of problem-solving skills in kids is evident. So, try to be an ideal role model for kids all the time.

6. Observe, Facilitate, And Share Feedback

Last but not least, be a guide and mentor for your students at all times. Observe them and be ready to intervene as and when it is required. Avoid interrupting and criticizing directly at any point in time because these competencies are best developed in a positive learning environment .

So, make sure you share enough positive feedback and facilitate this process throughout. However, do not give any direct answers to make the task easy for children. Instead, guide them through the pathway that can lead to possible and relevant solutions. Encourage multiple solutions and prejudice-free opinions and allow enough time for kids to derive conclusions. Re-explain the steps of the process (identifying, analyzing, solving, and reviewing, etc.) repeatedly, and motivate children for more and more divergent thinking.

Problem-solving skills are an asset for our kids in all stages of life. So, put your best foot forward and support your child in and out to acquire these 21st-century relevant skillsets for a tremendously successful and happy life ahead!

References:

[1] Self-Directed Learning Strategy: A Tool for Promoting Critical Thinking and Problem Solving Skills among Social Studies Students

[2] Construal-Level Theory of Psychological Distance

[3] 7.3 Problem-Solving

7 eLearning Gamification Tips To Enhance Problem Solving Skills
4 Ways To Foster Problem-Solving Skills In Modern eLearning Environments
7 Tips To Enhance Problem-Solving Skills In Online Training
Harnessing Problem-Solving Skills For Career Success
Gamification For Learning: Strategies And Examples

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3 steps to creative problem solving in the classroom

Teaching Strategies

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Bringing creativity into the classroom came naturally to Mark Gura. He began his career as a visual arts teacher in East Harlem, and when his small school asked him to teach other topics like English and social studies, it made sense to integrate some of his artistic skills into his lessons.

“Running a creative classroom was all about the culture I established,” Gura says. “I was bringing the students into another way of being. Not of thinking, but of being.”

To do that requires restructuring “habits of mind,” as Gura puts it. For example, many people think of creativity as a solo endeavor – the artist or writer who paints or writes in solitude. But creativity doesn’t happen in a bubble. Often it’s the result of team collaboration with a lot of brainstorming and bouncing ideas off each other.

How can educators best build a creative culture in their classroom? It begins with establishing a creative space where students can share their work. Gura is a fan of blogs, where students can post essays, videos or visual art projects and get real-time feedback.

Educators can also encourage students to come up with multiple solutions to specific situations. Too often, Gura says, students get caught up with finding the single correct answer to a problem. Instead, focus on finding multiple outcomes. Here’s how:

Develop a strategy. This involves researching the problem and its history to best understand it and then analyzing how others approached the problem and solved it. Look for mistakes made along the way and the gaps left to be filled.
Create a prototype, test or draft. Once students truly understand the problem, they are ready to solve it. This is where the creative community truly comes into play. Through collaboration, more minds are working on prototype solutions. Not only can students tap into their peers’ ideas, the feedback turns the classroom into a thought incubator where ideas are nurtured and grow.
Find an audience. Creative communities need a support system, someone outside of the creative team who can bring an unbiased perspective to the problem and solution. This can be done by soliciting feedback through blog posts, in a closed digital community or during classroom presentations. The idea is to use the audience to help refine the prototype or draft.

In creative classrooms, Gura says, the finished product isn’t the most important outcome. It’s the process of getting to a solution and then expanding it in new directions.

“That’s a huge shift in the habits of mind within the classroom,” he adds. “It’s ongoing, with students relying on the community for support.”

Discover ready-to-implement activities for developing student creativity in your school or classroom with Gura’s new book, Make, Learn Succeed: Building a Culture of Creativity in Your School.

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ELEMENTARY TEACHING , SOCIAL EMOTIONAL LEARNING IN THE CLASSROOM

SEL Problem Solving: How to Teach Students to be Problem Solvers in 2024

If you are an elementary teacher looking to learn how to help your students solve problems independently, then you found the right place! Problem solving skills prepare kids to face dilemmas and obstacles with confidence. Students who have problem solving skills are more independent than students who do not. In this post, we’ll go into detail about what problem solving skills are and why they are important. In addition, we’ll share tips and ideas for how to teach problem solving skills in an elementary classroom setting. Read all about helping students solve problems in and out of the classroom below!

What Does Solving Problems Mean?

Solving problems means brainstorming solutions to the problem after identifying and analyzing the problem and why it occurred. It is important to brainstorm different solutions by looking at all angles of the problem and creating a list of possible solutions. Then you can pick the solution that fits the best.

Why is it Important for Kids to Solve Problems?

It is important for kids to solve problems by brainstorming different solutions so that they can pick the best solution. This teaches them that there can be many different solutions to a problem and they vary in effectiveness. Teaching kids to solve problems helps them be independent in making choices.

How Do I Know If I Need to Teach Problem Solving in My Classroom?

The students in your 1st, 2nd, 3rd, 4th or 5th grade classroom would benefit from problem solving lessons and activities if any of these statements are true:

Student confidence is lacking.
Students are getting into conflicts with each other.
They come to you to solve problems they could have solved on their own.
Students are becoming easily frustrated.
Recess is a hard time for your class.

SEL problem solving choice board, coloring page, and writing activity

5 Reasons To Promote Problem Solving In Your Elementary Classroom

Below are 5 reasons to promote problem solving in your elementary classroom.

1. Problem solving builds confidence

Students’ confidence will grow as they learn problem solving skills because they will believe in their own abilities to solve problems. The more experience they have using their problem solving skills, the more confident they will become. Instead of going to others to solve problems for them, they will look inside themselves at their own abilities.

2. Problem solving creates stronger friendships

Students who can problem solve create stronger friendships because they won’t let arguments or running into issues stop them from being friends with a person. Instead they work with their friend to get through their problem together and get through the bump in the road, instead of giving up on the friendship.

SEL problem solving choice board and sorting activity

3. Problem solving skills increase emotional intelligence

Having emotional intelligence is incredibly helpful when solving problems. As students learn problem solving skills, they will use emotional intelligence to think about the feelings of others involved in the conflict. They will also think about how the problem is affecting others.

4. Problem solving skills create more independent kids

Students who can problem solve become more independent than kids who cannot because they will try to solve their problems first instead of going to an adult. They won’t look at adults as being the only people who can solve their problems. They will be equipped with the skill set to tackle the problems they are experiencing by themselves or with peers. However, it is important to make the distinction with kids between problems they can solve on their own and problems they need an adult for.

5. Teaching problem solving skills causes students to be more reflective

Reflecting is part of the problem solving process. Students need to reflect on the problem and what caused it when deciding how to solve the problem. Once students choose the best solution to their problem, they need to reflect on whether or not the solution was effective.

5 Tips and Ideas for Teaching Problem Solving Skills

Below are tips and ideas for teaching problem solving.

1. Read Aloud Picture Books about Problem Solving Skills

Picture books are a great way to introduce and teach an SEL topic. It gets students thinking about the topic and activating their background knowledge. Check out this list of picture books for teaching problem solving skills !

2. Watch Videos about Problem Solving Skills

There are tons of free online videos out there that promote social emotional learning. It’s a fun and engaging way to teach SEL skills that your students will enjoy. Check out these videos for teaching problem solving skills !

3. Explicitly Teach Vocabulary Related to Problem Solving Skills

Vocabulary words can help students develop understanding of problem solving and create connections through related words. Our problem solving SEL unit includes ten vocabulary cards with words related to the SEL topic. It is important for students to be able to see, hear, and use relevant vocabulary while learning. One idea for how to use them is to create an SEL word wall as students learn the words.

4. Provide Practice Opportunities

When learning any skill, students need time to practice. Social emotional learning skills are no different! Our problem solving SEL unit includes scenario cards, discussion cards, choice boards, games, and much more. These provide students with opportunities to practice the skills independently, with partners or small groups, or as a whole class.

5. Integrate Other Content Areas

Integrating other content areas with this topic is a great way to approach this SEL topic. Our problem solving SEL unit includes reading, writing, and art activities.

SEL problem solving word search and writing activity

Skills Related to Problem Solving

Problem-solving, in the context of social emotional learning (SEL) or character education, refers to the process of identifying, analyzing, and resolving challenges or obstacles in a thoughtful and effective manner. While “problem-solving” is the commonly used term, there are other words and phrases that can convey a similar meaning. These alternative words highlight different aspects of finding solutions, critical thinking, and decision-making. Here are some other words used in the context of problem-solving:

Troubleshooting: Identifying and resolving problems or difficulties by analyzing their root causes.
Critical thinking: Applying logical and analytical reasoning to evaluate and solve problems.
Decision-making: Considering options and making choices to address and solve problems effectively.
Analytical problem-solving: Using data, evidence, and systematic thinking to address challenges and find solutions.
Creative problem-solving: Generating innovative ideas and approaches to overcome obstacles and find solutions.
Resourcefulness: Finding effective solutions using available resources and thinking outside the box.
Solution-oriented: Focusing on identifying and implementing solutions rather than dwelling on problems.
Adaptability: Adjusting strategies and approaches to fit changing circumstances and overcome challenges.
Strategic thinking: Planning and organizing actions to achieve desired outcomes and resolve problems.
Systems thinking: Considering the interconnectedness and relationships between different elements when solving problems.

These terms encompass the concept of problem-solving and reflect the qualities of critical thinking, decision-making, and finding effective solutions within the context of social emotional learning (SEL) or character education.

SEL problem solving word search, acrostic poem, and writing activity

Download the SEL Activities

Click an image below to either get this individual problem solving unit or get ALL 30 SEL units

In closing, we hope you found this information about teaching problem solving skills helpful! If you did, then you may also be interested in these posts.

SEL Best Practices for Elementary Teachers
Social Emotional Learning Activities
75+ SEL Videos for Elementary Teachers
Teaching SEL Skills with Picture Books
How to Create a Social Emotional Learning Environment

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College Minor: Everything You Need to Know

14 fascinating teacher interview questions for principals, tips for success if you have a master’s degree and can’t find a job, 14 ways young teachers can get that professional look, which teacher supplies are worth the splurge, 8 business books every teacher should read, conditional admission: everything you need to know, college majors: everything you need to know, 7 things principals can do to make a teacher observation valuable, 3 easy teacher outfits to tackle parent-teacher conferences, strategies and methods to teach students problem solving and critical thinking skills.

The ability to problem solve and think critically are two of the most important skills that PreK-12 students can learn. Why? Because students need these skills to succeed in their academics and in life in general. It allows them to find a solution to issues and complex situations that are thrown there way, even if this is the first time they are faced with the predicament.

Okay, we know that these are essential skills that are also difficult to master. So how can we teach our students problem solve and think critically? I am glad you asked. In this piece will list and discuss strategies and methods that you can use to teach your students to do just that.

Direct Analogy Method

A method of problem-solving in which a problem is compared to similar problems in nature or other settings, providing solutions that could potentially be applied.

Attribute Listing

A technique used to encourage creative thinking in which the parts of a subject, problem, or task are listed, and then ways to change those component parts are examined.

Attribute Modifying

A technique used to encourage creative thinking in which the parts of a subject, problem, or task are listed, and then options for changing or improving each part are considered.

Attribute Transferring

A technique used to encourage creative thinking in which the parts of a subject, problem or task listed and then the problem solver uses analogies to other contexts to generate and consider potential solutions.

Morphological Synthesis

A technique used to encourage creative problem solving which extends on attribute transferring. A matrix is created, listing concrete attributes along the x-axis, and the ideas from a second attribute along with the y-axis, yielding a long list of idea combinations.

SCAMPER stands for Substitute, Combine, Adapt, Modify-Magnify-Minify, Put to other uses, and Reverse or Rearrange. It is an idea checklist for solving design problems.

Direct Analogy

A problem-solving technique in which an individual is asked to consider the ways problems of this type are solved in nature.

Personal Analogy

A problem-solving technique in which an individual is challenged to become part of the problem to view it from a new perspective and identify possible solutions.

Fantasy Analogy

A problem-solving process in which participants are asked to consider outlandish, fantastic or bizarre solutions which may lead to original and ground-breaking ideas.

Symbolic Analogy

A problem-solving technique in which participants are challenged to generate a two-word phrase related to the design problem being considered and that appears self-contradictory. The process of brainstorming this phrase can stimulate design ideas.

Implementation Charting

An activity in which problem solvers are asked to identify the next steps to implement their creative ideas. This step follows the idea generation stage and the narrowing of ideas to one or more feasible solutions. The process helps participants to view implementation as a viable next step.

Thinking Skills

Skills aimed at aiding students to be critical, logical, and evaluative thinkers. They include analysis, comparison, classification, synthesis, generalization, discrimination, inference, planning, predicting, and identifying cause-effect relationships.

Can you think of any additional problems solving techniques that teachers use to improve their student’s problem-solving skills?

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Benefits of Problem-Solving in the K-12 Classroom

Posted October 5, 2022 by Miranda Marshall

From solving complex algebra problems to investigating scientific theories, to making inferences about written texts, problem-solving is central to every subject explored in school. Even beyond the classroom, problem-solving is ranked among the most important skills for students to demonstrate on their resumes, with 82.9% of employers considering it a highly valued attribute. On an even broader scale, students who learn how to apply their problem-solving skills to the issues they notice in their communities – or even globally – have the tools they need to change the future and leave a lasting impact on the world around them.

Problem-solving can be taught in any content area and can even combine cross-curricular concepts to connect learning from all subjects. On top of building transferrable skills for higher education and beyond, read on to learn more about five amazing benefits students will gain from the inclusion of problem-based learning in their education:

Problem-solving is inherently student-centered.

Student-centered learning refers to methods of teaching that recognize and cater to students’ individual needs. Students learn at varying paces, have their own unique strengths, and even further, have their own interests and motivations – and a student-centered approach recognizes this diversity within classrooms by giving students some degree of control over their learning and making them active participants in the learning process.

Incorporating problem-solving into your curriculum is a great way to make learning more student-centered, as it requires students to engage with topics by asking questions and thinking critically about explanations and solutions, rather than expecting them to absorb information in a lecture format or through wrote memorization.

Increases confidence and achievement across all school subjects.

As with any skill, the more students practice problem-solving, the more comfortable they become with the type of critical and analytical thinking that will carry over into other areas of their academic careers. By learning how to approach concepts they are unfamiliar with or questions they do not know the answers to, students develop a greater sense of self-confidence in their ability to apply problem-solving techniques to other subject areas, and even outside of school in their day-to-day lives.

The goal in teaching problem-solving is for it to become second nature, and for students to routinely express their curiosity, explore innovative solutions, and analyze the world around them to draw their own conclusions.

Encourages collaboration and teamwork.

Since problem-solving often involves working cooperatively in teams, students build a number of important interpersonal skills alongside problem-solving skills. Effective teamwork requires clear communication, a sense of personal responsibility, empathy and understanding for teammates, and goal setting and organization – all of which are important throughout higher education and in the workplace as well.

Increases metacognitive skills.

Metacognition is often described as “thinking about thinking” because it refers to a person’s ability to analyze and understand their own thought processes. When making decisions, metacognition allows problem-solvers to consider the outcomes of multiple plans of action and determine which one will yield the best results.

Higher metacognitive skills have also widely been linked to improved learning outcomes and improved studying strategies. Metacognitive students are able to reflect on their learning experiences to understand themselves and the world around them better.

Helps with long-term knowledge retention.

Students who learn problem-solving skills may see an improved ability to retain and recall information. Specifically, being asked to explain how they reached their conclusions at the time of learning, by sharing their ideas and facts they have researched, helps reinforce their understanding of the subject matter.

Problem-solving scenarios in which students participate in small-group discussions can be especially beneficial, as this discussion gives students the opportunity to both ask and answer questions about the new concepts they’re exploring.

At all grade levels, students can see tremendous gains in their academic performance and emotional intelligence when problem-solving is thoughtfully planned into their learning.

Interested in helping your students build problem-solving skills, but aren’t sure where to start? Future Problem Solving Problem International (FPSPI) is an amazing academic competition for students of all ages, all around the world, that includes helpful resources for educators to implement in their own classrooms!

Learn more about this year’s competition season from this recorded webinar: https://youtu.be/AbeKQ8_Sm8U and/or email [email protected] to get started!

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Helping Elementary Students Develop Conflict Resolution Skills

These tools help kids practice techniques that foster communication, understanding, and social success in the classroom.

Elementary teacher kneeling down to talk to two students

In the classic children’s book Caps for Sale , a salesman walks around town to sell the many hats he wears upon his head. It’s no wonder that teachers gravitate toward reading this story because the main character wears just as many hats as we do. One of those hats is conflict resolution specialist. When I put on this hat, I like to rely on a couple of tools: the Honest Expression Sheet and the Peace Path. Not only have these tools helped me better understand how to navigate conflict resolution, but also they’ve helped my students become more empathetic and independent in communication and problem-solving.

Honest Expression Sheet

The Honest Expression Sheet is a communication tool that provides sentence starters and structure in order to guide students in navigating conflict. This tool was developed by Joe Brummer, a speaker, author, and trainer with over a decade of experience in trauma-informed restorative justice. It focuses on using “I” statements to communicate observations, feelings, and needs. The idea of “I” statements was introduced in the 1960s by psychologist Thomas Gordon as a way to help children communicate their emotions during play. According to Boston University, “An ‘I’ message can help you communicate your concerns, feelings, and needs without blaming others or sounding threatening. It helps you get your point across without causing the listener to shut down.”

There are four steps to using the Honest Expression Sheet:

State the noticing.
State the feeling.
State what is needed.
State what you’d like to see from the other person.

Here’s a quick scenario of how this tool might be used:

“When I heard you say that you didn’t want to sit with me at lunch, I felt lonely because I need friendship. Would you be willing to sit with me tomorrow?”

For the last step, it’s helpful for students to name the behavior they want to see, instead of the behavior they want to stop. In the scenario above, the student said, “Would you be willing to sit with me tomorrow?” instead of “Would you be willing to stop ignoring me?” Sometimes, students may have difficulty thinking about what they should ask the other student to do.

This sentence expresses some choices I like to give students to think about: “Would you be willing to apologize, give me some space, or use kind words?”

I make sure that both students go through the steps of the Honest Expression Sheet to ensure that both perspectives are heard.

The Honest Expression Sheet can also be used to communicate pleasant feelings, whether that be teacher to student or student to student. Here is an example of how a teacher might communicate in this way with a student:

“When I saw you hold the door open for me, I felt respected. Thank you!”

I notice that when I use the Honest Expression Sheet to help students communicate in this way, it promotes the continuation of these behaviors. This type of powerful positive feedback is called behavior-specific praise or descriptive praise . When teachers provide frequent, behavior-specific praise , several aspects improve, including classroom climate, student learning outcomes, and relationships between teachers and students.

For best results, try giving this type of praise using the child’s name.

In order for this tool to be most effective, you can keep a copy of the Honest Expression Sheet up in the classroom so that kids can use it as needed.

The Peace Path is a communication tool developed by Playworks that also encourages students to use “I” statements and see each other’s perspectives. Disagreements or conflict at recess can get in the way of play. The Peace Path provides educators with a tool that helps to positively shape play environments.

In this four-step activity, students take turns sharing their feelings, repeating the other student’s feelings, sharing their needs, repeating the other student’s needs, and sharing how they know that the conflict has been resolved. Some schools even opt to paint the steps of the Peace Path on the playground or in hallways so that the students can physically walk through the steps. A video example of teachers modeling how to use the Peace Path explains the process clearly and helps students understand the concept.

Final Tips for Success

Teach students how to use these tools. I like to read a picture book with a problem, such as The Recess Queen , by Alexis O'Neill, and have students act out how the characters could have used the Honest Expression Sheet or Peace Path. I find that students have more success when they practice with fictional characters before trying it with their own problems.

Build student vocabulary. When students have a richer vocabulary and can use the most precise word to describe their feelings , not only are they able to clearly communicate, but by labeling feelings accurately (referred to as emotional granularity ), people can also regulate their emotions.

Use a gradual release of responsibility. I recommend acting as a coach to guide your students when using these tools. After students have had some practice using these tools successfully, you may choose to oversee the interaction but only interject if needed. Eventually, students will be able to independently recognize when they could use these tools and implement them on their own!

Make these tools your own. You can differentiate them for different grades, English language learners, or however you see fit. My grade-level team revised the Honest Expression Sheet so that our diverse group of learners can see themselves reflected in the images.

Remind students that they’ll each get a turn to speak. Before using the Honest Expression Sheet or Peace Path, both parties should commit to not interrupting the other.

At the end of using the Honest Expression Sheet or Peace Path, I like to restate the plan and what the students agreed to. Then I ask, “Do we feel like the problem has been solved, or is there something else we need to discuss?”

Teachers and students are most successful when we have the tools we need. Consider adding these to your tool belt, and I’m sure you’ll find them to be necessary accessories to the many hats you wear.

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Jessica Grose

Most teachers know they’re playing with fire when they use tech in the classroom.

By Jessica Grose

Opinion Writer

A few years ago, when researchers at Boston College and Harvard set out to review all of the existing research on educational apps for kids in preschool through third grade, they were surprised to find that even though there are hundreds of thousands of apps out there that are categorized as educational, there were only 36 studies of educational apps in the databases they searched. “That is not a strong evidence base on which to completely redesign an entire schooling system,” Josh Gilbert, one of the co-authors of the study, told me over the phone.

That said, their meta-analysis of the effects of educational app use on children’s literacy and math skills, published in 2021, found that well-designed apps can make a positive difference when it comes to “constrained skills” — things like number recognition or times tables in math, or letter sounds in literacy. Unconstrained skills are more complex ones that develop over a lifetime of learning and can deepen over the years. (It’s worth noting that many popular educational apps are not high-quality .)

Gilbert said that overall, “the range of effects was gigantic.” Because they were all over the place, “we have to go beyond the average effect and say, OK, for whom does the app work? Under what conditions? On what types of measures? And I think those are the questions that researchers, policymakers, school leaders, teachers and principals should be asking,” he said. “What are the best use cases for this digital technology in the classroom?”

In last week’s newsletter , I came in pretty hot about the pitfalls of educational technology in American classrooms. I’m convinced that since students returned to in-person school after the disruptions of 2020-21, there are too many schools that haven’t been taking a thoughtful or evidence-based approach to how they’re using screens and apps, and that it’s time for a pause and a rethink. But that doesn’t mean there are no benefits to any use of educational technology.

So for the second part of this series, I wanted to talk to people who’ve seen real upsides from using tech in their classrooms. Their experiences back up some of the available research , which shows that ed tech can help teachers differentiate their material to meet the needs of students with a wide range of proficiencies. Further, teachers report that students with disabilities can really benefit from the assistive technologies that screens and apps can provide.

Debbie Marks, who teaches third grade in Oklahoma, told me that her students’ school-issued laptops allow them “to participate in differentiated reading interventions designed specifically for them” during the school day. That differentiation allows her to better assess how each student has progressed and tailor her instruction to each student.

“So for example, we could be working on story elements and we’re working on characters,” she explained to me when we spoke. “One student might be at the point where they’re just trying to identify who the main character is. Another student might be trying to identify character traits while a higher-level student would be comparing characters or would be identifying how the character changes throughout the story based on the plot. So it really allows me to develop one-on-one lessons for every kid in my classroom.”

Marks works in a rural district, about 90 minutes away from Tulsa, and some of her students may be traveling 45 minutes to an hour just to get to class. She said that the use of devices allows her to better connect with her students’ parents and to get them more involved in what’s going on in a classroom that is physically far from them. Marks also said that screens enable her to do things like virtual author visits, which she says get the kids really excited and engaged in reading.

I also heard from several teachers who said that assistive technology has been a game changer for students with special needs. Duncan Law, who works as a special education support teacher in an elementary school in Oregon, put it this way: “Technology can be a necessity for students with special needs in accessing core curriculum/standards, as well as for fluency practice. In the best case scenario, learning via tech is guided and closely monitored by teachers, and students are actively engaged with feedback. For students with dysgraphia and dyslexia, word processing tools offer a meaningful way to demonstrate/assess their writing skills.”

Several middle school and high school teachers who said that tech was helpful in their classrooms seemed to be using it as an efficient way to teach students more rote tasks, allowing more class time to be spent helping build those “unconstrained” skills.

Doug Showley, a high school English teacher in Indiana who’s been teaching since 1996, gave me the example of how he has changed his quizzes over time by integrating technology. He used to just give straight-up vocabulary quizzes where students had to define words; now he and his colleagues have moved toward “diction quizzes,” requiring students to understand the nuances of using specific words in sentences.

Showley noted that it’s easier to quickly look up words than it was in the hard-copy dictionary days, and that his students “have access to online dictionaries” during these quizzes. They’re given four synonyms and are asked to figure out which synonym best fits into a sentence. “To determine that, they have to go beyond just that basic definition. They’ve got to get into the connotative meaning of the word and the common usage of the word,” he explained.

But Showley also said that he monitors the kids quite closely. When they’re doing a task that involves their laptops, he’ll have them set up so all of their screens are facing him. He estimates that usually only one or two kids out of a class of 25 really aren’t able to stay on task when they’re on the screens.

He also told me that his school has made the decision not to block A.I., including ChatGPT, though it is a hot topic of discussion. The challenge of dealing with A.I. is something that came up a lot among teachers in the upper grades, and the overall vibe I got was that no one quite knows what to do with it yet.

After we spoke, Showley emailed me to say that “we should carefully gauge to what degree and in what way tech is used at each level of education.” And he wrote something that I think really sums up both the promise and the peril of ed tech (and is also such a classic English teacher passage):

I couldn’t help but think of Prometheus defying the Olympic gods by sharing the first-ever technological advancement with humankind: fire. Fire, as with every other significant advancement since, both propelled society forward and burnt it to the ground. It enlightened our minds and souls, and it tormented them, just as Prometheus was perpetually tormented through his punishment for sharing too much of the gods’ power.

Perhaps deliberately, one of the popular digital whiteboards is the Promethean board.

The technology isn’t going away. We need to start creating better frameworks to think about how students and teachers are using technology in our schools, because the tech companies won’t stop pushing their products, whether or not there’s evidence that shows educational gains. CNN’s Clare Duffy reports that later this year, Meta “will launch new software for educators that aims to make it easier to use its V.R. headsets in the classroom,” though “it remains unclear just how useful virtual reality is in helping students learn better.”

In next week’s newsletter, I’ll write about solutions to some of the problems posed by ed tech, and how we might create a future where we can minimize some of the most egregious hazards of distraction and invasion of privacy, and realize some of the potential of technology’s most fantastic educational promises.

Jessica Grose is an Opinion writer for The Times, covering family, religion, education, culture and the way we live now.

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COMMENTS

Teaching Problem Solving
Make students articulate their problem solving process . In a one-on-one tutoring session, ask the student to work his/her problem out loud. This slows down the thinking process, making it more accurate and allowing you to access understanding. When working with larger groups you can ask students to provide a written "two-column solution.".
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Learn how to foster problem-solving skills in your course by adapting assignments, creating scenarios, and using transparent criteria. Explore the common steps and skills of problem solving across disciplines and contexts, and see examples of how to apply them in different courses.
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Learn how to teach problem-solving skills to your students with fun and engaging activities that cover various topics and scenarios. From brainstorming to riddles, from scenarios to moral dilemmas, these activities will help students develop critical thinking and cognitive skills.
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Teaching problem solving: Let students get 'stuck' and 'unstuck'. This is the second in a six-part blog series on teaching 21st century skills, including problem solving , metacognition ...
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Problem-based learning (PBL) is a student-centered approach in which students learn about a subject by working in groups to solve an open-ended problem. This problem is what drives the motivation and the learning. Why Use Problem-Based Learning? Nilson (2010) lists the following learning outcomes that are associated with PBL.
Problem Solving in STEM
Problem Solving in STEM. Solving problems is a key component of many science, math, and engineering classes. If a goal of a class is for students to emerge with the ability to solve new kinds of problems or to use new problem-solving techniques, then students need numerous opportunities to develop the skills necessary to approach and answer ...
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Learn how to teach students the process of problem solving, from identifying the problem to finding the solution, using a model based on Woods' method. Find out the principles, tips, and resources for teaching problem-solving skills in various contexts and courses.
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Teach Students the 4 Problem-Solving Steps. Another way to solve problems in the classroom is to teach students the 4 Problem-Solving Steps. Post a copy of the 4 Problem-Solving Steps where students can refer to it (maybe next to a "peace table"). Problem-Solving Steps. Ignore it. (It takes more courage to walk away than to stay and fight.)
Guiding Students to Be Independent Problem-Solvers in STEM ...
5. Teach explicitly problem solving. After solving problems, students can create their own problem-solving strategy that they write on a note card. Collect responses from students and create a class protocol that you post on your learning management system or in your physical classroom space. Scaffold further with a two-column approach.
Problem-Solving in Elementary School
Learn how to teach students problem-solving and self-questioning skills to improve reading and social and emotional learning in the classroom. The article explains the Stop, Look, Think and Self-Questioning processes, and the benefits of whole child education.
10 ways to teach problem solving (with FREE curriculum!)
Your classroom is one of the best places to start. Even better, solving those problems can support the curriculum you teach. With a problem-solving framework in hand, the right questions to ask, and a way to engage students in the process, your students can be deep into this meaningful work in no time.
The Best Way to Teach Problem-Solving Skills in the Classroom
Aaron: "Yeah.". He proceeded to get paper towels and try to figure out how to use them to clean the whole spill. Teacher: "I think you might need to throw those away and get some more.". Aaron started to carry a drippy clump of paper towels across the room and leave a lovely trail of water.
The Problem-solving Classroom
The Problem-solving Classroom. This article forms part of our Problem-solving Classroom Feature, exploring how to create a space in which mathematical problem solving can flourish. At NRICH, we believe that there are four main aspects to consider: • Highlighting key problem-solving skills. • Examining the teacher's role.
Problem Solving Resources
Problem-solving is the ability to identify and solve problems by applying appropriate skills systematically. Problem-solving is a process—an ongoing activity in which we take what we know to discover what we don't know. It involves overcoming obstacles by generating hypo-theses, testing those predictions, and arriving at satisfactory solutions.
5 Problem-Solving Activities for Elementary Classrooms
Classroom problem-solving activities teach children how to engage problems rather than to become frustrated with them. Teachers have the opportunity to teach children the proper methods for dealing with stressful situations, complex problems, and fast decision-making. While a teacher is unlikely to actually put the child into a difficult or ...
5 Ways to Encourage Problem-Solving in your Classroom
Here are 5 ways you can support problem-solving in your classroom: 1. Problem Solve as a Group. Have your students think aloud in a group setting. This allows for critical analysis and the chance to bounce solutions off each other. Introduce a two-column system whereby, the first column shows their idea to solve the issue and the second is the ...
PDF Building Thinking Classrooms: Conditions for Problem Solving
aspects of problem-solving. The Þ rst session was focused around initiating problem- solving work in the classroom. In this session, teachers experienced a number of easy-to-start problem-solving activities that they could implement in their class-roomsÑproblems that I knew from my own experiences were engaging to students.
20 Effective Math Strategies For Problem Solving
Here are five strategies to help students check their solutions. 1. Use the Inverse Operation. For simpler problems, a quick and easy problem solving strategy is to use the inverse operation. For example, if the operation to solve a word problem is 56 ÷ 8 = 7 students can check the answer is correct by multiplying 8 × 7.
6 Strategies To Foster Problem-Solving Skills In Students
The importance of problem-solving skills in kids is evident. So, try to be an ideal role model for kids all the time. 6. Observe, Facilitate, And Share Feedback. Last but not least, be a guide and mentor for your students at all times. Observe them and be ready to intervene as and when it is required.
ISTE
Develop a strategy. This involves researching the problem and its history to best understand it and then analyzing how others approached the problem and solved it. Look for mistakes made along the way and the gaps left to be filled. Create a prototype, test or draft. Once students truly understand the problem, they are ready to solve it.
SEL Problem Solving: How to Teach Students to be Problem Solvers in
Below are 5 reasons to promote problem solving in your elementary classroom. 1. Problem solving builds confidence . Students' confidence will grow as they learn problem solving skills because they will believe in their own abilities to solve problems. The more experience they have using their problem solving skills, the more confident they ...
Strategies and Methods to Teach Students Problem Solving and Critical
A problem-solving process in which participants are asked to consider outlandish, fantastic or bizarre solutions which may lead to original and ground-breaking ideas. Symbolic Analogy A problem-solving technique in which participants are challenged to generate a two-word phrase related to the design problem being considered and that appears ...
Problem-Solving in the Classroom
8. Evaluate. Historically, the teacher has played a central role Define in the Problem. the classroom, for his responsibility was to facilitate To understand how this problem-solving model learning of the curriculum and to "get to know can each be used in a classroom to get work done and deal student." The class was looked upon as a number with ...
Benefits of Problem-Solving in the K-12 Classroom
Even beyond the classroom, problem-solving is ranked among the most important skills for students to demonstrate on their resumes, with 82.9% of employers considering it a highly valued attribute. On an even broader scale, students who learn how to apply their problem-solving skills to the issues they notice in their communities - or even ...
Conflict Resolution for Elementary Students
In this four-step activity, students take turns sharing their feelings, repeating the other student's feelings, sharing their needs, repeating the other student's needs, and sharing how they know that the conflict has been resolved. Some schools even opt to paint the steps of the Peace Path on the playground or in hallways so that the ...
Most Teachers Know They're Playing With Fire When They Use Tech in the
CNN's Clare Duffy reports that later this year, Meta "will launch new software for educators that aims to make it easier to use its V.R. headsets in the classroom," though "it remains ...
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No. 1 – Create a visual image

No. 2 – Use manipulatives

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5 Ways to Encourage Problem-Solving in your Classroom

1. Problem Solve as a Group

2. Explain and Encourage

3. Time and Patience

4. Ask Questions and Reflect

5. Let them Learn

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20 Effective Math Strategies To Approach Problem-Solving

What are problem-solving strategies?

20 Math Strategies For Problem-Solving

Strategies to understand the problem

1. Read the problem aloud

2. Highlight keywords

3. Summarize the information

4. Determine the unknown

5. Make a plan

Strategies for solving the problem

2. Act it out

3. Work backwards

4. Write a number sentence

5. Use a formula

Strategies for checking the solution

1. Use the Inverse Operation

2. Estimate to check for reasonableness

3. Plug-In Method

4. Peer Review

5. Use a Calculator

Step-by-step problem-solving processes for your classroom