Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 : A Resource for the Mathematics Teacher

by Alfred S. Posamentier

• ISBN13: 9781412959698
• ISBN10: 1412959691
• eBook ISBN(s): 9781452295572
• Edition: 2nd
• Format: Hardcover
• Copyright: 2008-03-27
• Publisher: Corwin Pr
• More Book Details

Summary

This updated edition presents ten strategies for solving a wide range of mathematics problems, plus new sample problems.

Table of Contents

Preface	p. ix
Acknowledgments	p. xi
About the Authors	p. xiii
Introduction to Problem-Solving Strategies	p. 1
Working Backwards	p. 17
The Working Backwards Strategy in Everyday Life Problem-Solving Situations	p. 18
Applying the Working Backwards Strategy to Solve Mathematics Problems	p. 19
Problems Using the Working Backwards Strategy	p. 21
Finding a Pattern	p. 39
The Finding a Pattern Strategy in Everyday Life Problem-Solving Situations	p. 40
Applying the Finding a Pattern Strategy to Solve Mathematics Problems	p. 42
Problems Using the Finding a Pattern Strategy	p. 43
Adopting a Different Point of View	p. 69
The Adopting a Different Point of View Strategy in Everyday Life Problem-Solving Situations	p. 70
Applying the Adopting a Different Point of View Strategy to Solve Mathematics Problems	p. 71
Problems Using the Adopting a Different Point of View Strategy	p. 72
Solving a Simpler Analogous Problem	p. 97
The Solving a Simpler Analogous Problem Strategy in Everyday Life Problem-Solving Situations	p. 97
Applying the Solving a Simpler Analogous Problem Strategy to Solve Mathematics Problems	p. 98
Problems Using the Solving a Simpler Analogous Problem Strategy	p. 100
Considering Extreme Cases	p. 117
The Considering Extreme Cases Strategy in Everyday Life Problem-Solving Situations	p. 118
Applying the Considering Extreme Cases Strategy to Solve Mathematics Problems	p. 118
Problems Using the Considering Extreme Cases Strategy	p. 121
Making a Drawing (Visual Representation)	p. 141
The Making a Drawing (Visual Representation) Strategy in Everyday Life Problem-Solving Situations	p. 141
Applying the Making a Drawing (Visual Representation) Strategy to Solve Mathematics Problems	p. 142
Problems Using the Making a Drawing (Visual Representation) Strategy	p. 143
Intelligent Guessing and Testing (Including Approximation)	p. 167
The Intelligent Guessing and Testing (Including Approximation) Strategy in Everyday Life Problem-Solving Situations	p. 168
Applying the Intelligent Guessing and Testing (Including Approximation) Strategy to Solve Mathematics Problems	p. 168
Problems Using the Intelligent Guessing and Testing (Including Approximation) Strategy	p. 170
Accounting for All Possibilities	p. 189
The Accounting for All Possibilities Strategy in Everyday Life Problem-Solving Situations	p. 189
Applying the Accounting for All Possibilities Strategy to Solve Mathematics Problems	p. 190
Problems Using the Accounting for All Possibilities Strategy	p. 191
Organizing Data	p. 203
The Organizing Data Strategy in Everyday Life Problem-Solving Situations	p. 203
Applying the Organizing Data Strategy to Solve Mathematics Problems	p. 204
Problems Using the Organizing Data Strategy	p. 206
Logical Reasoning	p. 225
The Logical Reasoning Strategy in Everyday Life Problem-Solving Situations	p. 225
Applying the Logical Reasoning Strategy to Solve Mathematics Problems	p. 226
Problems Using the Logical Reasoning Strategy	p. 226
Afterword	p. 243
Sources for Problems	p. 249
Readings on Problem Solving	p. 257
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