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

by Alfred S. Posamentier (Editor), Stephen Krulik (Editor)

Overview

With sample problems and solutions, this book demonstrates how teachers can incorporate nine problem solving strategies into any mathematics curriculum to help students succeed.

Product Details

ISBN-13:	9781412960670
Publisher:	SAGE Publications
Publication date:	02/25/2009
Edition description:	New Edition
Pages:	152
Product dimensions:	7.00(w) x 9.90(h) x 0.40(d)

About the Author

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.

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. Nationally, Krulik has served as a member of the committee responsible for preparing the Professional Standards for Teaching Mathematics of the National Council of Teacher of Mathematics (NCTM). He was also the editor of the NCTM’s 1980 yearbook Problem Solving in School Mathematics. He is the author or co-author of more than 20 books for teachers of mathematics, including Assessing Reasoning and Problem Solving: A Sourcebook for Elementary School Teachers. He has served as a consultant to and has conducted many workshops for school district throughout the United States and Canada, as well as delivering major presentations in Austria, Hungary, Australia, and international professional meetings, where his major focus is on preparing all students to reason and problem-solve in their mathematics classroom, as well as in their lives. Krulik received his BA degree in mathematics from Brooklyn College of the City University of New York, and his MA and Ed D in mathematics education from Columbia University’s Teachers College.

Table of Contents

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

Editorial Reviews

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

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

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

Timothy J. Mc Namara

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

Timothy J. McNamara