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Math Problem Solving Techniques

Book Description

This book has been created to assist educators faced with thedifficult task of presenting, explaining, teaching, and practising problemsolving techniques and skills. This book provides:  a) a brief overview of eight problem solving techniques. Each technique is accompanied by a worked example that teachers should talk through with the class to give a full explanation of the sub-skills and thinking processes through which students may proceed. We realize that there are many more problem solving techniques than those presented here, and that problem solving techniques are never used in complete isolation. However, for the purpose of teaching we have broken the techniques into separate usable approaches to problem solving. b) four practice questions with each of the eight techniques. These should be used as teaching exercises, changing the numbers as required to consolidate the technique being taught. c) a non-graded mixture of 100 different problems requiring use of the problem solving techniques. These can be written on the board, photocopied or pasted onto cards. Allow students to work through at their own pace, omitting problems initially if they feel ill equipped to solve them. Students can return to those problems later on as their repertoire of problem solving skills increases. The ability to solve problems at whatever level of complexityprovides the solver with an intrinsic sense of self-worth. As educators, weshould provide as many opportunities as possible to raise students' self esteem- providing them with these eight techniques to solve problems is a greatcommencement point.



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