Library homepage

  • school Campus Bookshelves
  • menu_book Bookshelves
  • perm_media Learning Objects
  • login Login
  • how_to_reg Request Instructor Account
  • hub Instructor Commons

Margin Size

  • Download Page (PDF)
  • Download Full Book (PDF)
  • Periodic Table
  • Physics Constants
  • Scientific Calculator
  • Reference & Cite
  • Tools expand_more
  • Readability

selected template will load here

This action is not available.

Mathematics LibreTexts

10.1: George Polya's Four Step Problem Solving Process

  • Last updated
  • Save as PDF
  • Page ID 72365

\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

\( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

\( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)

( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)

\( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

\( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)

\( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

\( \newcommand{\Span}{\mathrm{span}}\)

\( \newcommand{\id}{\mathrm{id}}\)

\( \newcommand{\kernel}{\mathrm{null}\,}\)

\( \newcommand{\range}{\mathrm{range}\,}\)

\( \newcommand{\RealPart}{\mathrm{Re}}\)

\( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

\( \newcommand{\Argument}{\mathrm{Arg}}\)

\( \newcommand{\norm}[1]{\| #1 \|}\)

\( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)

\( \newcommand{\vectorA}[1]{\vec{#1}}      % arrow\)

\( \newcommand{\vectorAt}[1]{\vec{\text{#1}}}      % arrow\)

\( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

\( \newcommand{\vectorC}[1]{\textbf{#1}} \)

\( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)

\( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)

\( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)

Step 1: Understand the Problem

  • Do you understand all the words?
  • Can you restate the problem in your own words?
  • Do you know what is given?
  • Do you know what the goal is?
  • Is there enough information?
  • Is there extraneous information?
  • Is this problem similar to another problem you have solved?

Step 2: Devise a Plan: Below are some strategies one might use to solve a problem. Can one (or more) of the following strategies be used? (A strategy is defined as an artful means to an end.)

Purdue University Graduate School

A FRAMEWORK FOR ACHIEVING THE FOUR STUDENT WELLNESS OUTCOMES USING COLLECTIVE SYSTEM DESIGN

In response to the evolving demands of todays competition, there is a growing expectation for enhanced services to industry and academic enterprises. This thesis explores the application of System Engineering methodologies as a strategic approach to securing success with both industrial and academic enterprises. Industry faces issues with the absence of a positive tone, inefficiencies and delays in delivery, and customer satisfaction. Meanwhile, academia faces several challenges including lack of communication between departments, how to allocate institutional resources to simplify student experience, reduce complexity in students college experience, and lack of students motivation. These issues for students lead to poor academic performance, financial struggles, and possibly mental health problems. There is a recognized need for a systematic approach to ensure student success at universities. A fundamental approach emerges in the form of Collective System Design (CSD) to find ways to address the above- mentioned challenges. Collective System Design is explored for ad- dressing the challenges faced by academic organizations and industrial processes. Collective System Design aims to improve the long-term viability of an enterprise by fostering sustainability and success. This thesis further investigates the Collective System Design Language, offering a communication tool for design and an approach to assess effectiveness before implementation. This thesis highlights two case studies: Shuttleworth (manufacturing industry) and the Purdue University Fort Wayne Student Success Standard Process Lifecycle. The impact of solving these problems can be measured through several key indicators: Shuttleworth (Manufacturing Industry). • Reduction in Lead Time • In on-time Delivery • Enhanced Customer Satisfaction and improvement in product quality. Purdue University Fort Wayne. • Improvement in Student Experience and Quality of Life. • Achievement of Student Wellness Functional Requirements and improvements in student retention and four and five year graduation rates. Achievement of Student Success Functional Requirements and improvements in student retention and four and five year graduation rates. There are three main objectives of this thesis: (1) Apply and contrast the application of Collective System Design principles across a manufacturing industrial client and a service enterprise, namely higher education (2) Offer a systematic approach for manufacturing to improve on-time delivery, enhance customer satisfaction, create positive tone by using the principles of Collective System Design, and (3) For academia, develop a System Design Decomposition to define the functions of the university to foster student wellness according to four viewpoints: academic, financial, career, and living wellness. The objective is to incorporate the development of a System Design Decomposition that provides methodology to ensure that student wellness outcomes consider the four viewpoints of wellness (Academic, Financial, Career, and Living). The Student Success Standard Process Lifecycle defines standard processes in all process steps that will facilitate the desired student experience and four wellness outcomes. The lifecycle consists of Student Success States where the lifecycle begins from S0 (learning about university) to S7 (Supportive alumni) and defines standard process steps in each state. Each standard process step seeks to achieve the Functional Requirements from the four wellness viewpoints (academic, financial, career, and living) in Student Success Standard Process Lifecycle. The Collective System Design Decomposition methodology will serve as a structured approach to defining desired student wellness outcomes within a Rapid Design Process, which takes place in the first session focusing on defining outcomes. By leveraging this framework of four wellness viewpoints, the thesis aims to address issues with defining the outcomes for academic, financial, career, and living wellness viewpoints. Each wellness viewpoint has specific Functional Requirements (outcomes) that need to be defined and achieved by Student Success Standard Process Lifecycle and Rapid Design Process, to ultimately enhance student success and well-being at Purdue Fort Wayne University.

Degree Type

  • Master of Science
  • Electrical and Computer Engineering

Campus location

Advisor/supervisor/committee chair, additional committee member 2, additional committee member 3, usage metrics.

  • Systems engineering

CC BY 4.0

IMAGES

  1. four steps of problem solving process

    4 step problem solving process pdf

  2. what is the 4 step problem solving process

    4 step problem solving process pdf

  3. Problem Solving Steps Pdf

    4 step problem solving process pdf

  4. 4 step problem solving

    4 step problem solving process pdf

  5. what is the 4 step problem solving process

    4 step problem solving process pdf

  6. The Four Stages Of Problem Solving Adapted From The I

    4 step problem solving process pdf

VIDEO

  1. How to Solve a Problem in Four Steps: The IDEA Model

  2. Problem Solving

  3. Problem Solving

  4. 4 Steps in Solving Problems

  5. 4-step plan: problem solving

  6. Polya's Four Steps in Problem Solving (1.3)

COMMENTS

  1. PDF The 4-Step Problem-Solving Process

    The 4-Step Problem-Solving Process. This document is the third in a series intended to help school and district leaders maximize the effectiveness and fluidity of their multi-tiered system of supports (MTSS) across different learning environments. Specifically, the document is designed to support the use of problem solving to improve outcomes ...

  2. PDF 4-Step Process for Problem Solving

    Choose a strategy, or combination of strategies. Make a record of false starts, and your corrections. Carry out the plan. Clearly and precisely describe verbally each step of the plan. Verify that each step has been done correctly. Provide mathematical justification for the step (a convincing argument)

  3. PDF THIRTEEN PROBLEM-SOLVING MODELS

    As the diagram below indicates, the problem-solving process consists of four major steps: 1. ASSESS: Take Stock of the Situation 2. ANALYZE: Figure Out What to Do About It 3. ORGANIZE: Get Ready for Action 4. EXECUTE: Make It Happen Each of the four steps is described in more detail in the table on the following page.

  4. PDF The 4-Step Problem Solving Process

    This process is most effective when used by teams of educators with a variety of expertise to accelerate students' educational performance. Family engagement is a critical element to ensure successful outcomes of the problem-solving process. The 4-step process is a proven and well-established method of identifying, implementing and

  5. PDF Step Problem Solving Process

    Problem Solving Tools '. Download it now for your PC, Mac, laptop, tablet, Kindle, eBook reader or Smartphone. Key Points • The Six Step Problem Solving Model provides a shared, collaborative, and systematic approach to problem solving. • Each step must be completed before moving on to the next step. However, the steps are repeatable.

  6. The Four-step Problem-solving Process

    The following list of strategies, although not exhaustive, is very useful: 1. Look for a pattern. 2. Examine related problems and determine if the same technique can be applied. 3. Examine a simpler or special case of the problem to gain insight into the solution of the original problem. 4. Make a table.

  7. PDF Polya's four-step approach to problem solving

    3. Carry out the plan— If the plan does not seem to be working, then start over and try another way. Often the first approach does not work. Do not worry, just because an approach does not work, it does not mean you did it wrong. You actually accomplished something, knowing a way does not work is part of the process of elimination.

  8. PDF The Four-Step Problem Solving Model

    The Problem Solving Process The PS process is used to plan, evaluate, and revise all tiers of instruc-tion. The four step PS process includes a structured format that is used when analyzing possible reasons for lack of progress in a student or group of students' academic or behavioral achievement in order to plan and deliver interventions.

  9. PDF 1 Polya's Problem-Solving Process

    their problem-solving skills. P´olya's Four-Step Process In his book How to Solve It, George Polya identifies a four-step process that forms the basis of any serious attempt at problem solving. These steps are: Step 1. Understand the Problem Obviously if you don't understand a problem, you won't be able to solve it.

  10. PDF Polya's four-step approach to problem solving

    To begin this task, we now discuss a framework for thinking about problem solving: Polya's four-step approach to problem solving. Polya's four-step approach to problem solving. 1. Preparation:Understand the problem. Learn the necessary underlying mathematical concepts Consider the terminology and notation used in the problem: 1.

  11. PDF 4 Step Rapid Problem Solving

    2.0 Process 9 Important Steps Key Points Reasons 1. Problem Solving has 4 key elements. First is we need to do it now while the evidence is fresh. • "Go and See" at the workplace or Gemba in Japanese. • Will not solve problems in the office or behind the computer. • Just like CSI ! • Maximise the chance of seeing the problem and

  12. PDF 7-step approach to problem solving

    Problem statements should commence with a question or a firm hypothesis. Be specific, actionable and focus on what the decision maker needs to move forward. Break a problem into component parts so that problems can be divided and allocated. The parts should be MECE. Do it as a team, share with Experts and client to get input and alignment.

  13. PDF 12/23/2019 Solution Engineering The Four-Step Model

    The Solution Engineering Four-Step Model of the problem-solving process is depicted below. A discussion of each of the four steps follows. Assess: Take Stock of the Situation The first order of business is to take stock of or get a fix on the situation. This entails the following: • clarifying the situation • specifying the outcomes

  14. 10.1: George Polya's Four Step Problem Solving Process

    Step 2: Devise a Plan: Below are some strategies one might use to solve a problem. Can one (or more) of the following strategies be used? Can one (or more) of the following strategies be used? (A strategy is defined as an artful means to an end.)

  15. MRSC

    The 4-step Problem Solving Method. The model we've used with clients is based on the A3 problem-solving methodology used by many "lean" production-based companies. In addition to being simpler, our 4-step method is visual, which helps remind the user what goes into each box. The steps are as follows. Develop a Problem Statement; Determine ...

  16. What is Problem Solving? Steps, Process & Techniques

    Finding a suitable solution for issues can be accomplished by following the basic four-step problem-solving process and methodology outlined below. Step. Characteristics. 1. Define the problem. Differentiate fact from opinion. Specify underlying causes. Consult each faction involved for information. State the problem specifically.

  17. PDF Polya'S Four Step Problem Solving Process

    complete move 4. If this move cannot be made, the game is over. 4 A Cover each of the exposed factors of the number that player B just covered. 5 A Cover one of the exposed numbers which remain that allows player B to complete move 6. If this move cannot be made, the game is over.

  18. PDF Creative Problem Solving

    problem solving, do the following: 1. Defer Judgment 2. Go for Quantity 3. Seek Wild and Unusual Ideas 4. Build on other Ideas 5. Write Everything Down, Every Idea is Equal CONVERGE When it's time to converge during the creative problem solving process, do the following: 1. Apply affirmative Judgment 2. Keep Novelty Alive 3. Check your ...

  19. PDF Four Types of Problem Solving

    • Seven steps common to solving most problems: Two of the four types of problem solving—gap-from-standard method (Chapter 4) and the target-state method, which together can help us solve most of our business problems— rely on seven common problem-solving steps. So we dig a bit deeper into the

  20. PDF What do we need to know about the 4-step problem solving process?

    process is most effective when used by teams of educators with a variety of expertise to accelerate students educational performance. Family engagement is a critical element to ensure successful outcomes of the problem-solving process. The 4-step process is a proven and well-established method of identifying, implementing and evaluating

  21. PDF A Problem Solving Approach to Designing and Implementing a Strategy to

    PEL-083 A PELP Problem-Solving Approach . 2 . Teams rarely move through each step sequentially, and might get stuck and revisit earlier steps throughout the process. However, each step is critical to improving system-wide performance. Steps . Identify the Problem. The first and most critical step of solving a performance problem is to

  22. PDF A Four-Step Problem-Solving Model for Conflict Resolution

    of being spiteful or sarcastic during the brainstorming of ideas step. respectful for those involved? 3. Evaluate the plan: +L[LYTPULPM[OLWSHU^PSS^VYR. 4. Implement the plan: Everyone agrees to try the plan. Merrell's Strong Kids—Grades 3-5: A Social and Emotional Learning Curriculum, Second Edition, by Dianna Carrizales-Engelmann, Laura ...

  23. A Framework for Achieving the Four Student Wellness Outcomes Using

    Each standard process step seeks to achieve the Functional Requirements from the four wellness viewpoints (academic, financial, career, and living) in Student Success Standard Process Lifecycle. The Collective System Design Decomposition methodology will serve as a structured approach to defining desired student wellness outcomes within a Rapid ...