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Problem Solving

Learn Polya’s problem-solving process and strategies, such as divide and conquer and pattern identification, to enhance your analytical skills, tackle puzzles, and solve real-world problems.

Beginner

43 Lessons

Certificate of Completion

Learn Polya’s problem-solving process and strategies, such as divide and conquer and pattern identification, to enhance your analytical skills, tackle puzzles, and solve real-world problems.

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Explanations

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Explanations

This course includes

28 Playgrounds

9 Quizzes

Course Overview

What You'll Learn

Course Content

Course Overview

Problem-solving skills are vital for personal growth, academic success, and professional achievement. They enable resilience, innovation, and effective decision-making. This course equips you with a lifelong skill set by teaching Polya’s problem-solving process and its applications in tackling real-world problems, games, and puzzles. You will explore strategies, including top-down and bottom-up approaches, divide and conquer, stepwise refinement, pattern identification, and logical reasoning through puzzle...Show More

Problem-solving skills are vital for personal growth, academic success, and professional achievement. They enable resilience, in...Show More

What You'll Learn

Familiarity about the significance of problem-solving skills in diverse fields and their impact on addressing real-world problems

Hands-on experience applying Polya’s problem-solving process and key strategies like divide and conquer and pattern identification

Development of analytical skills and logical reasoning through practical applications like puzzle-solving and computing logic

The ability to apply problem-solving methods effectively to complex challenges using critical thinking techniques

Familiarity about the significance of problem-solving skills in diverse fields and their impact on addressing real-world problems

Course Content

Polyas method

2 Lessons

Learn Polya’s method with a 4-step process to enhance problem-solving skills, applying it effectively across contexts using Polya’s problem-solving approach.

Let’s Play

Introduction to Pólya’s Problem-Solving Process

Bottom-Up Approach

5 Lessons

Explore the logic of measuring quantities using a bottom-up approach, applying effective problem-solving strategies for systematic and logical solutions. Explor

Understanding the Problem

Devising a Plan: Strategy

Devising a Plan: Solution

Carrying Out the Plan

Exercise

Top-Down Approach

5 Lessons

Solve the Farmer’s dilemma using a top-down approach, applying Polya’s problem-solving and strategic techniques to find logical and effective solutions.

Understanding the Problem

Devising a Plan: Strategy

Devising a Plan: Solution

Carrying Out the Plan

Exercise

Wire Length Calculator

5 Lessons

Calculate wire length with geometric shapes using Polya’s problem-solving and structured strategies, enhancing analytical skills and logical reasoning.

Understanding the Problem

Devising a Plan: Strategy

Devising a Plan: Solution

Carrying Out the Plan

Exercise

Stepwise refinement

5 Lessons

Determine the Bear’s color using Polya’s problem-solving steps and logical reasoning, applying geographic analysis for effective and systematic solutions.

Understanding the Problem

Devising a Plan: Strategy

Devising a Plan: Solution

Carrying Out the Plan

Exercise

Guessing Games

5 Lessons

Follow the process of using divide and conquer to efficiently solve guessing challenges.

Understanding the Problem

Devising a Plan: Strategy

Devise a Plan: Solution

Carrying Out the Plan

Exercise

Minesweeper Game

5 Lessons

Master the divide and conquer strategy to solve Minesweeper, breaking the puzzle into smaller sections for efficient and effective problem-solving.

Understanding the Problem

Devising a Plan: Strategy

Devise a Plan: Solution

Carrying Out the Plan

Exercise

Triangular Wall

5 Lessons

Learn to apply Gauss’s method for solving arithmetic series problems, streamlining calculations, and enhancing problem-solving efficiency through systematic str

Understanding the Problem

Devising a Plan: Strategy

Devising a Plan: Solution

Carrying Out the Plan

Exercise

Pattern Identification

5 Lessons

Uncover the core of pattern identification in counting, geometric sequences, and exponential growth, using strategic problem-solving to recognize and solve comp

Understanding the Problem

Devising a Plan: Strategy

Devising a Plan: Solution

Carrying Out the Plan

Exercise

10.

Conclusion

1 Lessons

Examine the importance of problem-solving skills and Pólya's framework in tackling challenges.

Wrap Up

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Frequently Asked Questions

What is the concept of problem-solving?

Problem-solving is the process of identifying challenges, analyzing their causes, and devising effective strategies to resolve them. It involves logical thinking, creativity, and the application of structured techniques, such as Polya’s problem-solving process, to achieve desired outcomes. This skill is essential for personal, academic, and professional growth.

What are the 7 steps to problem-solving?

The 7 steps to problem-solving are:

Identify the problem: Clearly define the issue.
Gather information: Collect relevant data to understand the problem.
Analyze the problem: Break down the issue into smaller parts and identify root causes.
Generate solutions: Brainstorm potential ways to address the issue.
Evaluate solutions: Weigh the pros and cons of each option.
Implement the best solution: Execute the chosen strategy.
Monitor and reflect: Assess the solution’s effectiveness and refine it as necessary.

What are the top-down and bottom-up approaches?

Top-down approach: This starts with a high-level overview of the problem and breaks it into smaller, manageable parts. It’s strategy-driven, focusing on the big picture before delving into details.
Bottom-up approach: This begins by addressing the smallest components of a problem and gradually builds toward a comprehensive solution. It’s detail-driven, focusing on specifics that aggregate into the big picture.

What is pattern identification in computing?

Pattern identification in computing involves recognizing recurring structures, trends, or regularities in data or processes. This is critical in areas like: Algorithm design: Creating efficient solutions by spotting repeatable processes. Data analysis: Detecting trends for decision-making. Machine learning: Training models to identify and predict patterns. It streamlines problem-solving and enables systems to operate more effectively and predictively.