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Ways to Think about Mathematics Activities and Investigations for Grade 6-12 Teachers

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ISBN-10: 0761931058

ISBN-13: 9780761931058

Edition: 2004

Authors: Steve Benson, Susan Addington, Nina Arshavsky, Al Cuoco, E. Paul Goldenberg

List price: $45.95
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Description:

Engaging in mathematical investigations yourself will help you be a better mathematics teacher! National, state, and local curriculum requirements and recommendations increasingly emphasize active student involvement in exploratory investigations. Teachers now face new demands when they field unexpected student discoveries, determine when some open-ended activity has played out its usefulness or is just on the verge of paying off in a major way, and judge which student-initiated directionsnbsp;are likely to lead to development of important mathematical ideas and which are dead ends. These pedagogical judgments depend heavily on deep mathematical knowledge. Ways to Think…    
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Book details

List price: $45.95
Copyright year: 2004
Publisher: Corwin Press
Publication date: 10/5/2004
Binding: Paperback
Pages: 264
Size: 8.40" wide x 10.90" long x 0.60" tall
Weight: 1.364
Language: English

Steven R. Benson is an Associate Professor of Mathematics at Lesley University in Cambridge, Massachusetts, where he teaches a variety of mathematics content courses for traditional undergraduate students and in-service mathematics teachers. Before joining the Lesley faculty, Dr. Benson was a Research Scientist at Education Development Center, Inc., where he was involved in a wide variety of projects, most of which involved the development of curricula for mathematics students and teachers. He has also facilitated preservice and in-service teacher professional development workshops across the U.S. and internationally (including serving as consultant to the Ministry of Education in…    

Susan Addington is a professor of Mathematics at California State University,San Bernardino. Though her doctoral work was in arithmetic algebraic geometry (a field that includes almost every mathematical area except statistics),she now spends most of her time thinking about math education. Her educational interests include teacher preparation (elementary through college), ethnomathematics, and the use of technology to teach traditionally difficult ideas. Susan is married to David Dennis, a math educator, historian of mathematics, jazz saxophonist, and virtuoso gardener.

E. Paul Goldenberg is a Senior Scientist and the Principal Investigator of three recent NSF-funded projects: Connecting with Mathematics, materials for teacher professional development programs; Problems with a Point,a Web-accessible, searchable database of orchestrated problem sets; and Math Workshop: A Comprehensive Elementary Curriculum for Skill, Mathematical Ability, and Real Thinking, a project that will develop materials for a K-5 comprehensive mathematics curriculum that promotes rather than requires professional development. He was previously PI on the Connected Geometry curriculum development project, and of a 3-year,NSF-funded research project into the nature of learning with…    

Preface
About the Authors
What is Mathematical Investigation?
Dissections and Area
Linearity and Proportional Reasoning
Pythagoras and Cousins
Pascal's Revenge: Combinatorial Algebra
Problems for the Classroom
Resource: Answers for Selected Problems
Index