Alfred S. Posamentier, Stephen Krulik
Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12
A Resource for the Mathematics Teacher
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Alfred S. Posamentier, Stephen Krulik
Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12
A Resource for the Mathematics Teacher
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This updated edition presents ten strategies for solving a wide range of mathematics problems, plus new sample problems.
This updated edition presents ten strategies for solving a wide range of mathematics problems, plus new sample problems.
Produktdetails
- Produktdetails
- Verlag: Corwin
- 2. Auflage
- Seitenzahl: 282
- Erscheinungstermin: 27. März 2008
- Englisch
- Abmessung: 260mm x 183mm x 20mm
- Gewicht: 732g
- ISBN-13: 9781412959698
- ISBN-10: 1412959691
- Artikelnr.: 23068061
- Verlag: Corwin
- 2. Auflage
- Seitenzahl: 282
- Erscheinungstermin: 27. März 2008
- Englisch
- Abmessung: 260mm x 183mm x 20mm
- Gewicht: 732g
- ISBN-13: 9781412959698
- ISBN-10: 1412959691
- Artikelnr.: 23068061
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.
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
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
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