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**Welcome to the Math Clinic and Science Works!**

Problem Solving Tips!

Problem Solving Tips!

There are four stages in solving a given problem. Each problem may involve one or more of the suggested strategies.

The four stages were developed by George Polya, a Hungarian mathematician. We also incorporate the Socratic Method which is a series of Q&A, to check one's critical thinking, logic and reasoning, as we seek to find any holes in the process.

**Understanding the Problem**

- Read the problem carefully
- List the details you know
- Look for phrases
- Pick out the important information
- State the problem in your own words

**Analyzing the Problem**

- Look for a pattern
- Draw a picture
- Use models or act out the problem
- Make an organized list
- Guess and test
- State and solve an equation
- Use logical reasoning
- Consider a simpler form of the problem
- Work the problem backward

**Doing the Necessary Computations**

- Simplify any arithmetic expressions
- Solve any algebraic equations
- Use a calculator or computer as appropriate

**Providing the Desired Results**

- Answer all questions
- Provide all requested information
- Be sure all results (solutions) are reasonable
- Check all solutions
- Look for extensions or generalizations of the solutions
- State the problem and its solution in sentence form

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