Scripting Approaches in Mathematics Education : Mathematical Dialogues in Research and Practice

Description

This book shows how the practice of script writing can be used both as a pedagogical approach and as a research tool in mathematics education. It provides an opportunity for script-writers to articulate their mathematical arguments and/or their pedagogical approaches. It further provides researchers with a corpus of narratives that can be analyzed using a variety of theoretical perspectives. Various chapters argue for the use of dialogical method and highlight its benefits and special features. The chapters examine both “low tech” implementations as well as the use of a technological platform, LessonSketch. The chapters present results of and insights from several recent studies, which utilized scripting in mathematics education research and practice. Front Matter ....Pages i-xix On Dialogue and Stories as Representations of Practice: An Introduction (Patricio Herbst)....Pages 1-19 Combining Geometrical Transformations: A Meta-mathematical Narrative (John Mason)....Pages 21-51 Constructing Plausible, but Uncommon Stories: Gaining Subversive Insight into the School Mathematics Tradition (Daniel Chazan, Shoshana Gilead, Kyle Cochran)....Pages 53-72 A Tale of Two Digital Games: How Discussion Can Augment Personal Narratives (Anne Watson, John Mason)....Pages 73-87 Who is Right? – What Students’ and Prospective Teachers’ Responses to Scripted Dialog Reveal About Their Conceptions of Proof (Orly Buchbinder)....Pages 89-113 Moving Toward Approximations of Practice in Teacher Professional Development: Learning to Summarize a Problem-Based Lesson (Gloriana González)....Pages 115-146 How Can Designed Reference Points in an Animated Classroom Story Support Teachers’ Study of Practice? (Vu Minh Chieu, Wendy Rose Aaron, Patricio Herbst)....Pages 147-162 “I Understand” Talk in Script Writing: A Case from Euclid’s Elements (Boris Koichu, Rina Zazkis)....Pages 163-184 Teachers Unpack Mathematical Conventions via Script-Writing (Igor’ Kontorovich)....Pages 185-204 Interjecting Scripting Studies into a Mathematics Education Research Program: The Case of Zero-Divisors and the Zero-Product Property (Dov Zazkis, John Paul Cook)....Pages 205-228 Eyes, Ears, and Expectations: Scripting as a Multi-lens Tool (Ami Mamolo)....Pages 229-248 Generating, Appraising, and Revising Representations of Mathematics Teaching with Prospective Teachers (Sandra Crespo)....Pages 249-264 Does the Medium Matter? (Annick Rougée, Patricio Herbst)....Pages 265-292 Preservice Teachers’ Learning Paths of Classroom Discourse Through Scripting (Woong Lim, Deborah Roberts-Harris, Hee-Jeong Kim)....Pages 293-319 What StoryCircles Can Do for Mathematics Teaching and Teacher Education (Patricio Herbst, Amanda Milewski)....Pages 321-364 Dialogues on Dialogues: The Use of Classical Dialogues in Mathematics Teacher Education (Rina Zazkis, Boris Koichu)....Pages 365-387 On the Use of Dialogues: Looking Back and Looking Forward (Rina Zazkis)....Pages 389-398 Back Matter ....Pages 399-425