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We present our first Higher Problem-Solving Strategy. It is extremely useful in solvingcertaintypesofdifficultproblems,whichareeasilyrecognizable.Wewill teach it by solving problems which use this strategy. In fact, problem solving can be learned only by solving problems. But it must be supported by strategies provided by the trainer.
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
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.
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.
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.
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,
Mathematical problems, or puzzles, are important to real mathematics (like solving real-life problems), just as fables, stories, and anecdotes are important to the young in understanding real life. Mathematical problems are ‘sanitized’ mathematics, where an elegant solution has already been
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