Problem-Solving Strategies for Efficient and Elegant Solutions: A Resource for the Mathematics Teacher

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Overview

Foreword by Nobel Laureate Herbert A. Hauptman

The authors present ten strategies, illustrated through 200 problems, that you can incorporate into your curriculum to help your students become effective problem solvers.

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Editorial Reviews

CHOICE, 1999 - C.M. Bradley
"This book is unique in that it provides alternatives to traditional problem-solving methods used by teachers. It is an attempt to break the mold of looking at only one way to solve a problem. The authors investigate ten strategies that can be used to solve mathematics problems as well as real life situations, using approximately 200 problems to demonstrate the ten strategies. "
Horizon Research
"It could be used as a supplementary text in secondary mathematics methods course to promote discussion of problem solving or as a text in a formal course on problem solving."
CHOICE, 1999 - C. M. Bradley
"This book is unique in that it provides alternatives to traditional problem-solving methods used by teachers. It is an attempt to break the mold of looking at only one way to solve a problem. The authors investigate ten strategies that can be used to solve mathematics problems as well as real life situations, using approximately 200 problems to demonstrate the ten strategies. "
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Product Details

  • ISBN-13: 9780803966970
  • Publisher: SAGE Publications
  • Publication date: 7/16/1998
  • Series: 1-off Series
  • Pages: 272

Meet 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.

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Table of Contents

Foreword
Preface
About the Authors
1 Introduction to Problem-Solving Strategies 1
2 Working Backwards 15
3 Finding a Pattern 37
4 Adopting a Different Point of View 69
5 Solving a Simpler Analogous Problem 97
6 Considering Extreme Cases 117
7 Making a Drawing (Visual Representation) 139
8 Intelligent Guessing and Testing (Including Approximation) 165
9 Accounting for All Possibilities 187
10 Organizing Data 203
11 Logical Reasoning 225
Sources for Problems 241
Readings on Problem Solving 247
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