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Problem Solving in Mathematics, Grades 3-6
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Problem Solving in Mathematics, Grades 3-6
Powerful Strategies to Deepen Understanding

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March 2009 | 152 pages | Corwin
Help students succeed as problem solvers in mathematics and in real-life situations! Based on the premise that problem solving is a key mathematics skill and an essential life skill, this book is designed to help teachers at all grade levels engage students in active problem solving. This resource presents ten easy-to-use strategies that offer elegant alternate approaches for resolving many types of mathematics problems. The authors demonstrate how you can: Apply the strategies to problems at different grade levels Incorporate the strategies into your mathematics program Use the strategies in real-life situations Make each strategy a part of your thinking processes
 
Acknowledgments
 
About the Authors
 
Preface
 
1. An Introduction to Problem Solving
 
2. Organizing Data
Applying the Organizing Data Strategy

 
Teaching Notes

 
Problems for Students

 
 
3. Intelligent Guessing and Testing
Applying the Intelligent Guessing and Testing Strategy

 
Teaching Notes

 
Problems for Students

 
 
4. Solving a Simpler Equivalent Problem
Applying the Solving a Simpler Equivalent Problem Strategy

 
Teaching Notes

 
Problems for Students

 
 
5. Acting It Out or Simulation
Applying the Acting It Out or Simulation Strategy

 
Teaching Notes

 
Problems for Students

 
 
6. Working Backwards
Applying the Working Backwards Strategy

 
Teaching Notes

 
Problems for Students

 
 
7. Finding a Pattern
Applying the Finding a Pattern Strategy

 
Teaching Notes

 
Problems for Students

 
 
8. Logical Reasoning
Applying the Logical Reasoning Strategy

 
Teaching Notes

 
Problems for Students

 
 
9. Making a Drawing
Applying the Making a Drawing Strategy

 
Teaching Notes

 
Problems for Students

 
 
10. Adopting a Different Point of View
Applying the Adopting a Different Point of View Strategy

 
Teaching Notes

 
Problems for Students

 
 
Readings on Problem Solving

“A wonderful collection of problems that were thoroughly researched and presented.”

Timothy J. McNamara, National K-12 Consultant/Professional Developer
Author, Teaching Essential Mathematics, Grades K-8

“Helps fill a gap in the field of mathematics education—a specific explication with appropriate examples of the variety of problem solving approaches.”

Pearl Solomon, Author
The Math We Need to Know and Do in Grades PreK–5

“Demonstrates problem solving strategies with solutions and teaching notes and allows the teacher to create a collection of problems to fit a particular grade level.”

Janice L. Richardson, Associate Professor and Education Coordinator, Department of Mathematics
Elon University

Preview this book

Sample Materials & Chapters

Preface

Chapter 1: An Introduction to Problem Solving


Alfred Steven Posamentier

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. More About Author

Stephen Krulik

Stephen Krulik is professor of mathematics education at Temple University in Philadelphia, where he is responsible for the undergraduate and graduate preparation of mathematics teachers for Grades K-12, as well as in the inservice training of mathematics teachers at the graduate level. He teaches a wide variety of courses, among them the History of Mathematics, Methods of Teaching Mathematics, and the Teaching of Problem Solving. Before coming to Temple University, he taught mathematics in the New York City public schools for 15 years, where he created and implemented several courses designed to prepare students for the SAT examination.... More About Author

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