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



October 2004 | 264 pages | Corwin
Ways to Think About Mathematics will fill the gap between what the math teachers learned in college and what they are required to teach in today's classrooms.

The book will be divided into five modules that focus on algebraic, geometric, and statistical ideas. The book uses immersion in content to help secondary mathematics teachers improve their knowledge and understanding of mathematical concepts.

Ways to Think About Mathematics gives teachers the opportunity to learn and understand the same math concepts and math problems that they will be teaching.

This book can be used by individual teacher; whether preservice, novice teachers, or experienced teachers. This book can also be used in staff development workshops or faculty teams. It is also appropriate for teacher education courses in secondary mathematics.

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

"This is a powerful teaching methodology that is bound to convey the spirit of problem-solving."

MAA Reviews, June 2006
Mathematical Association of America

Steve Benson

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... More About Author

Susan Addington

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. More About Author

Nina Arshavsky

Nina P.Arshavsky is a Math Coach at Boston Public Schools, providing professional development to high school math teachers. She received her doctoral degree in educational psychology from the University of Wisconsin-Madison and taught mathematics in middle and high schools in both Russia and the US. Dr. Arshavsky worked on a variety of research, professional development, and curriculum development projects in the Center for Mathematics Education at EDC and is a co-author of Impact Mathematics: Algebra and More for the Middle Grades, a comprehensive 6-8 mathematics curriculum. She has published and presented numerous research papers, and... More About Author

Al Cuoco

Al Cuoco is Senior Scientist and Director of the Center for Mathematics Education at Education Development Center. Before coming to EDC, he taught high school mathematics for 24 years to a wide range of students in the Woburn, Massachusetts public schools. A student of Ralph Greenberg, Dr. Cuoco received his Ph.D. in mathematics from Brandeis; his mathematical interests and publications have been in algebraic number theory. His favorite publication is his 1991 article in the American Mathematical Monthly, described by his wife as “an attempt to explain a number system no one understands with a picture no one can see.” More About Author

E. Paul Goldenberg

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... More About Author

Eric E. Karnowski

Eric Karnowski is a senior mathematics associate at Education Development Center (EDC) in Massachusetts. He has worked in mathematics education for 25 years, initially as a teacher, then as a textbook editor, and finally as a curriculum developer and teacher professional development provider. Since joining EDC, he has directed the development of the K–5 program Think Math! and written numerous activities for the award-winning Problems with a Point website. He directed projects to develop several online teacher professional development courses for PBS TeacherLine, Louisiana Algebra 1 Online Professional Development, and most recently, the... More About Author

For instructors

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ISBN: 9780761931058
$41.95 
ISBN: 9780761931041
$90.95