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IMAP Integrating Mathematics and Pedagogy: Searchable Collection of Children's-Mathematical-Thinking Video Clipsby Sdsu San Diego State Univ Foun
Synopses & Reviews
The IMAP (Integrating Mathematics and Pedagogy) Searchable DVD and Facilitator's Guide features a unique collection of over three hundred video clips, images, and resources which capture a range of K-5 school children’s mathematical reasoning and demonstrate prominent aspects of the children’s solutions. Designed to support professional development (PD) facilitators, math coaches and their teachers, these resources, when used in PD settings, give teachers the opportunity to consider the mathematics and grapple with issues of mathematics teaching and learning as they arise in the context of children’s thinking. Proven to enhance teacher reflection and promote growth in teachers’ content knowledge of mathematics, these videos foster better understanding of the ways students approach problem-solving; illustrate the unique and creative ways children think mathematically; and underscore the importance of precise language and questioning in the teaching of mathematics.
The video medium provides opportunities for us as teachers to be critically reflective—we can see our actions in others; enables us to watch many examples of instruction in non-threatening ways; provides us opportunities to see that children’s approaches to mathematics and mathematical thinking differ from adults’ approaches; raises expectations of what students can do; and enables us to model questioning techniques in a safe way.
What makes the IMAP DVD and Facilitator's Guide an indispensable resource?
San Diego State University Research Foundation - Randolph Philipp - Candace Cabral - Bonnie Schappelle
IMAP Integrating Mathematics and Pedagogy: Searchable Collection of Children's-Mathematical-Thinking Video Clips
One of the most beautiful and powerful experiences teachers have is to observe children making sense of mathematics. But frequently the instruction children receive in the classroom differs greatly from the intuitive mathematical reasoning they bring with them to school. Professional development built around understanding children’s thinking empowers teachers to create rich instructional environments that promote mathematical inquiry and understanding, leading to documented improvement in student achievement. Using children’s mathematical thinking in professional development contexts can motivate and promote growth in teachers’ content knowledge of mathematics and hone their ability to guide each child’s development of foundational knowledge and deep understandings.
Enhance and support your mathematics professional development workshops and courses with the IMAP Integrating Mathematics and Pedagogy: Searchable Collection of Children's-Mathematical-Thinking Video Clips, a DVD offering over 200 interviews of individual children as well as several clips of a small group of children or a whole class. Designed to support any elementary mathematics professional development program or coursework, facilitators, instructors, and math coaches will find this unique searchable collection of video (and related artifacts) invaluable. This DVD features:
The accompanying Facilitator's Guide provides philosophy and context for using the DVD materials, a detailed appendix of all clips and their descriptions, search terms, and related materials as well as guidance for staff developers, coaches and instructors to integrate the video clips (with specific examples) into a variety of teacher learning activities.
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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