Full Description
The IMAP (Integrating Mathematics and Pedagogy) Searchable DVD 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 and math coaches, these materials, 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 an indispensable resource? Contains 232 high-quality video clips that illustrate elementary children's mathematical thinking and approaches to problem-solving, each with an introductionProvides easy-to-use, searchable video that is categorized by math content covered, math solution strategy used by students, teaching/interviewing issues, and other miscellaneous topics (technology used, Spanish speaker, wrong answer, etc.)Features transcripts with every video clipFeatures Clip Info descriptions with every video clip and references to related clips.Includes Problems and Video Preparation and Discussion questions with every video clipProvides over 160 screen captures (in JPG format) of student work Offers a variety of additional resources including Interview Guides and glossary of termsCreated so it's easy to use with any other kind of professional development approachPerfect for professional development workshops, the accompanying Facilitator's Guide includes handouts and guidance for coaches and trainers to integrate the video clips into a variety of workshop activitiesBuy the IMAP DVD and Faciliator's Guide together and save! Use Package ISBN: 9780132626972
Contents
PART I VIDEO OF CHILDREN'S MATHEMATICAL THINKING:AN OVERVIEW 1About Children's Thinking and Linking to IMAP 1What Is Children's Mathematical Thinking? Why Focus on It? 2Children's Mathematical Thinking 2Connections to Cognitively Guided Instruction 4A Stance Toward Teaching Mathematics 4Teaching as Learning (An Inquiry Stance) 5Children's Mathematical Thinking: The Teacher's Path Through the Mathematical Terrain on an Inquiry Journey 5Learning to Notice Differently 7How Do Teachers Benefit From Using Video of Children's Mathematical Thinking? 9An Important Note About Professionalism and Respect 11Four Emergent Principles From the Video 11Using Video and Written Student Work: A Conjectured Sequence 16Step 1 : Teachers Consider the Mathematics 17Step 2: Teachers Consider Students' Thinking 17Step 3: View and Discuss the Video 17Finding and Using Video Clips 18General Content Information 18Using the Search Functionality 18Resources Listed on the Resource Tab 23Appendix: Instructor Interview Guide 24PART Ill THEMATIC STORIES 27Introduction to Stories 27Story 1: Students' Answers Are Only Part of the Story 28Story 2: Understanding Is Not an All or Nothing Enterprise 36Story 3: Procedural and Conceptual Understanding 48Story 4: Developing Fraction Understanding 55Story 5: Mathematical Proficiency 76Story 6: Introduction to Interviewing 87REFERENCES CITED AND OTHER SOURCES 101APPENDIX A: Glossary 104APPENDIX B: Complete List and Description of 232 IMAP Clips 107
