Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12: A Resource for the Mathematics Teacher (2nd Revised edition)

Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12: A Resource for the Mathematics Teacher (2nd Revised edition)

By: Alfred S. Posamentier (author), Stephen Krulik (author)Paperback

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Description

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 understandableA'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.

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About 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 EdD in mathematics education from Columbia University's Teachers College.

Contents

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

Product Details

  • publication date: 04/06/2008
  • ISBN13: 9781412959704
  • Format: Paperback
  • Number Of Pages: 280
  • ID: 9781412959704
  • weight: 572
  • ISBN10: 1412959705
  • edition: 2nd Revised edition

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

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