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15 sie 2015 · Problem-Solving Strategies is a unique collection of competition problems from over twenty major national and international mathematical competitions for high school students.
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Appendix 1 summarizes the problem-solving strategies and some key terms explored in the book. It also provides additional information about effective ways to use games in education.
Problem Solving Strategy 1 (Guess and Test) Make a guess and test to see if it satisfies the demands of the problem. If it doesn't, alter the guess appropriately and check again.
8 gru 2020 · Introduction to problem-solving strategies -- Working backwards -- Finding a pattern -- Adopting a different point of view -- Solving a simpler, analogous problem (specification without loss of generality) -- Considering extreme cases -- Making a drawing (visual representation) -- Intelligent guessing and testing (including approximation) -- ...
Problem Solve by Solving an Easier Problem: Hungarian Mathematician, George Polya, put it this way in his small but important work, How to Solve It (1965): “If you can’t solve a problem, then there is an easier problem you can solve: find it.” If a problem seems overwhelming, has a lot of steps, or very large
There are several general strategies and perspectives to solve a problem correctly; (Polya 1957) is a classic reference for many of these. Some of these strategies are discussed below, together with a brief illustration of how each strategy can be used on the following problem: PROBLEM 1.1. A triangle has its lengths in an arithmetic progression,