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Problem-Solving StrategieS

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Topic: Problem Solving

Sort Desciption: include numerous and varied experiences with problem solving as a method of ... To assist in using these problem-solving strategies the answers to the ...

Content Inside: MATHCOUNTS 2006-2007 83 Problem-Solving StrategieS NCTMs Principles and Standards for School Mathematics recommends that the mathematics curriculum include numerous and varied experiences with problem solving as a method of inquiry and application. There are many problems within the MATHCOUNTS program that may be considered difficult if attacked by setting up a series of equations but quite simple when attacked with problem-solving strategies such as looking for a pattern drawing a diagram making an organized list and so on. The problem-solving method that will be used in the following discussion consists of four basic steps: FIND OUT Look at the problem. Have you seen a similar problem before? If so how is this problem similar? How is it different? What facts do you have? What do you know that is not stated in the problem? CHOOSE A STRATEGY How have you solved similar problems in the past? What strategies do you know? Try a strategy that seems as if it will work. If it doesnt it may lead you to one that will. SOLVE IT Use the strategy you selected and work the problem. LOOK BACK Reread the question. Did you answer the question asked? Is your answer in the correct units? Does your answer seem reasonable? Specific strategies may vary in name. Most however fall into these basic categories: Compute or Simplify (C) Use a Formula (F) Make a Model or Diagram (M) Make a Table Chart or List (T) Guess Check & Revise (G) Consider a Simpler Case (S) Eliminate (E) Look for Patterns (P) To assist in using these problem-solving strategies the answers to the Warm-Ups and Workouts have been coded to indicate possible strategies. The single-letter codes above for each strategy appear in parentheses after each answer. In the next section the strategies above are applied to previously published MATHCOUNTS problems. Examples of relevant problems from this years MATHCOUNTS School Handbook also are included for each section. 84 MATHCOUNTS 2006-2007 MATHCOUNTS ...

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Mastering the art of problem solving is one important way to ensure. that the future you create is a hopeful one. Analysis helps you ...

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