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"How to Solve It: A New Aspect of Mathematical Method" by George Polya is a classic guide to problem-solving, particularly in mathematics but applicable to many fields. The book presents a systematic four-step framework for tackling problems:
Understand the Problem: Clearly define what is being asked, understand all terms, restate the problem in your own words, visualize if possible, and ensure you have enough information.
Devise a Plan: Choose an appropriate strategy from methods like guess and check, look for patterns, draw diagrams, simplify, work backward, use formulas, and more.
Carry Out the Plan: Execute the chosen strategy carefully, verify each step, and record your process.
Look Back and Reflect: Evaluate the solution's reasonableness, check results, consider alternative methods, learn from the process, and apply insights to future problems.
Polya emphasizes that problem-solving is a skill to be learned through practice and imitation, not by memorizing recipes. The book blends practical heuristics with a reflective approach to understand not just how to solve problems but why certain methods work.
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