This updated edition presents ten strategies that are effective tools for teaching students how to solve problems, both in mathematics and in real-life situations. The authors demonstrate how the strategies can be used to solve a wide range of problems and provide about 200 examples that illustrate how teachers can include these techniques in their mathematics curriculum. In many cases, the methods presented make the solution of a problem easier, neater, and more understandable-and thereby more enjoyable. This new edition includes references to current standards, revisions and clarifications…mehr
This updated edition presents ten strategies that are effective tools for teaching students how to solve problems, both in mathematics and in real-life situations. The authors demonstrate how the strategies can be used to solve a wide range of problems and provide about 200 examples that illustrate how teachers can include these techniques in their mathematics curriculum. In many cases, the methods presented make the solution of a problem easier, neater, and more understandable-and thereby more enjoyable. This new edition includes references to current standards, revisions and clarifications throughout the text, and a number of new problems that can be used to teach the different strategies.
Alfred S. Posamentier is professor of mathematics education and dean of the School of Education at the City College of the City University of New York. He has authored and co-authored several resource books in mathematics education for Corwin Press.
Inhaltsangabe
Preface About the Authors 1. Introduction to Problem-Solving Strategies 2. Working Backwards The Working Backwards Strategy in Everyday Life Problem-Solving Situations Applying the Working Backwards Strategy to Solve Mathematics Problems Problems Using the Working Backwards Strategy 3. Finding a Pattern The Finding a Pattern Strategy in Everyday Life Problem-Solving Situations Applying the Finding a Pattern Strategy to Solve Mathematics Problems Problems Using the Finding a Pattern Strategy 4. Adopting a Different Point of View The Adopting a Different Point of View Strategy in Everyday Life Problem-Solving Situations Applying the Adopting a Different Point of View Strategy to Solve Mathematics Problems Problems Using the Adopting a Different Point of View Strategy 5. Solving a Simpler Analogous Problem The Solving a Simpler Analogous Problem Strategy in Everyday Life Problem-Solving Situations Applying the Solving a Simpler Analogous Problem Strategy to Solve Mathematics Problems Problems Using the Solving a Simpler Analogous Problem Strategy 6. Considering Extreme Cases The Considering Extreme Cases Strategy in Everyday Life Problem-Solving Situations Applying the Considering Extreme Cases Strategy to Solve Mathematics Problems Problems Using the Considering Extreme Cases Strategy 7. Making a Drawing (Visual Representation) The Making a Drawing (Visual Representation) Strategy in Everyday Life Problem-Solving Situations Applying the Making a Drawing (Visual Representation) Strategy to Solve Mathematics Problems Problems Using the Making a Drawing (Visual Representation) Strategy 8. Intelligent Guessing and Testing (Including Approximation) The Intelligent Guessing and Testing (Including Approximation) Strategy in Everyday Life Problem-Solving Situations Applying the Intelligent Guessing and Testing (Including Approximation) Strategy to Solve Mathematics Problems Problems Using the Intelligent Guessing and Testing (Including Approximation) Strategy 9. Accounting for All Possibilities The Accounting for All Possibilities Strategy in Everyday Life Problem-Solving Situations Applying the Accounting for All Possibilities Strategy to Solve Mathematics Problems Problems Using the Accounting for All Possibilities Strategy 10. Organizing Data The Organizing Data Strategy in Everyday Life Problem-Solving Situations Applying the Organizing Data Strategy to Solve Mathematics Problems Problems Using the Organizing Data Strategy 11. Logical Reasoning The Logical Reasoning Strategy in Everyday Life Problem-Solving Situations Applying the Logical Reasoning Strategy to Solve Mathematics Problems Problems Using the Logical Reasoning Strategy Afterword by Herbert A. Hauptman Sources for Problems Readings on Problem Solving Index
Preface About the Authors 1. Introduction to Problem-Solving Strategies 2. Working Backwards The Working Backwards Strategy in Everyday Life Problem-Solving Situations Applying the Working Backwards Strategy to Solve Mathematics Problems Problems Using the Working Backwards Strategy 3. Finding a Pattern The Finding a Pattern Strategy in Everyday Life Problem-Solving Situations Applying the Finding a Pattern Strategy to Solve Mathematics Problems Problems Using the Finding a Pattern Strategy 4. Adopting a Different Point of View The Adopting a Different Point of View Strategy in Everyday Life Problem-Solving Situations Applying the Adopting a Different Point of View Strategy to Solve Mathematics Problems Problems Using the Adopting a Different Point of View Strategy 5. Solving a Simpler Analogous Problem The Solving a Simpler Analogous Problem Strategy in Everyday Life Problem-Solving Situations Applying the Solving a Simpler Analogous Problem Strategy to Solve Mathematics Problems Problems Using the Solving a Simpler Analogous Problem Strategy 6. Considering Extreme Cases The Considering Extreme Cases Strategy in Everyday Life Problem-Solving Situations Applying the Considering Extreme Cases Strategy to Solve Mathematics Problems Problems Using the Considering Extreme Cases Strategy 7. Making a Drawing (Visual Representation) The Making a Drawing (Visual Representation) Strategy in Everyday Life Problem-Solving Situations Applying the Making a Drawing (Visual Representation) Strategy to Solve Mathematics Problems Problems Using the Making a Drawing (Visual Representation) Strategy 8. Intelligent Guessing and Testing (Including Approximation) The Intelligent Guessing and Testing (Including Approximation) Strategy in Everyday Life Problem-Solving Situations Applying the Intelligent Guessing and Testing (Including Approximation) Strategy to Solve Mathematics Problems Problems Using the Intelligent Guessing and Testing (Including Approximation) Strategy 9. Accounting for All Possibilities The Accounting for All Possibilities Strategy in Everyday Life Problem-Solving Situations Applying the Accounting for All Possibilities Strategy to Solve Mathematics Problems Problems Using the Accounting for All Possibilities Strategy 10. Organizing Data The Organizing Data Strategy in Everyday Life Problem-Solving Situations Applying the Organizing Data Strategy to Solve Mathematics Problems Problems Using the Organizing Data Strategy 11. Logical Reasoning The Logical Reasoning Strategy in Everyday Life Problem-Solving Situations Applying the Logical Reasoning Strategy to Solve Mathematics Problems Problems Using the Logical Reasoning Strategy Afterword by Herbert A. Hauptman Sources for Problems Readings on Problem Solving Index
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