ISBN-10:
0132098954
ISBN-13:
9780132098953
Pub. Date:
05/16/2011
Publisher:
Pearson
IMAP Integrating Mathematics and Pedagogy: Searchable Collection of Children's-Mathematical-Thinking Video Clips / Edition 1

IMAP Integrating Mathematics and Pedagogy: Searchable Collection of Children's-Mathematical-Thinking Video Clips / Edition 1

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Product Details

ISBN-13: 9780132098953
Publisher: Pearson
Publication date: 05/16/2011
Edition description: New Edition
Product dimensions: 7.80(w) x 9.80(h) x 0.20(d)

About the Author

Randolph Philipp is Professor of Mathematics Education in the School of Teacher Education at San Diego State University and a member of CRMSE, the Center for Research in Mathematics and Science Education. His research interests include studying the effects of integrating mathematics content and students' mathematical thinking. Randy started his educational career as a secondary school mathematics teacher in Los Angeles, California, and as a teacher in the Peace Corps in Liberia, West Africa.

Bonnie Schappelle is a Research Associate at San Diego State University's Center for Research in Mathematics and Science Education. Her research interests include studying the effects of integrating mathematics content and students' mathematical thinking. She also serves as a professional editor. Earlier in her career, Bonnie taught secondary school.

Table of Contents

PART I VIDEO OF CHILDREN'S MATHEMATICAL THINKING:

AN OVERVIEW 1

About Children's Thinking and Linking to IMAP 1

What Is Children's Mathematical Thinking? Why Focus on It? 2

Children's Mathematical Thinking 2

Connections to Cognitively Guided Instruction 4

A Stance Toward Teaching Mathematics 4

Teaching as Learning (An Inquiry Stance) 5

Children's Mathematical Thinking: The Teacher's Path Through the Mathematical Terrain on an Inquiry Journey 5

Learning to Notice Differently 7

How Do Teachers Benefit From Using Video of Children's Mathematical Thinking? 9

PART II USING THIS PRODUCT 11

An Important Note About Professionalism and Respect 11

Four Emergent Principles From the Video 11

Using Video and Written Student Work: A Conjectured Sequence 16

Step 1 : Teachers Consider the Mathematics 17

Step 2: Teachers Consider Students' Thinking 17

Step 3: View and Discuss the Video 17

Finding and Using Video Clips 18

General Content Information 18

Using the Search Functionality 18

Resources Listed on the Resource Tab 23

Appendix: Instructor Interview Guide 24

PART Ill THEMATIC STORIES 27

Introduction to Stories 27

Story 1: Students' Answers Are Only Part of the Story 28

Story 2: Understanding Is Not an All or Nothing Enterprise 36

Story 3: Procedural and Conceptual Understanding 48

Story 4: Developing Fraction Understanding 55

Story 5: Mathematical Proficiency 76

Story 6: Introduction to Interviewing 87

REFERENCES CITED AND OTHER SOURCES 101

APPENDIX A: Glossary 104

APPENDIX B: Complete List and Description of 232 IMAP Clips 107

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