Full Description
An embodied perspective on mathematical thinking, teaching and learning has grown from early theoretical and empirical work in the 90's to a diverse and productive collection of approaches today. The aim of this book is to survey the landscape of these approaches and to provide empirical examples of research and an in-depth analysis of the most influential perspectives on embodiment and mathematics. More particularly, the book clarifies differences and points of contact among several theoretical and methodological frameworks that all take embodiment as a core construct in understanding mathematical thinking, and illustrates in a concrete way the affordances of each of these frameworks.
Contributors are: Dor Abrahamson, Martha W. Alibali, Corey Brady, James A. Dixon, Laurie Edwards, Virginia J. Flood, Susan Gerofsky, Christina Krause, Ricardo Nemirovsky, Matthew Petersen, Luis Radford, Wolff-Michael Roth, Anna Shvarts, and Ashwin Vaidya.
Contents
List of Figures and Tables
Notes on Contributors
1 Introduction: Locating the Body in Mathematics
Laurie D. Edwards and Christina M. Krause
2 Bodies, Incorporeals, and the Birth of a Mathematical Diagram
Ricardo Nemirovsky
3 Embodied Experimentation with Alberti's Window
Corey Brady
4 Sensed Objects, Sensing Subjects: Embodiment from a Dialectical Materialist Perspective
Luis Radford
5 Action, Attention, and Multimodal Scaffolding: A Cognitive-Developmental Perspective on Embodiment, Interaction, and Activity
Martha W. Alibali
6 Intercorporeal Functional Dynamic System: A Dual Eye-Tracking Study of Student-Tutor Collaboration on a Mathematics Embodied Design
Anna Shvarts and Dor Abrahamson
7 Ecological Foundations to the Creation of New Meaning
James A. Dixon, Matthew Petersen and Ashwin Vaidya
8 Experiencing Mathematical Relationships at a Variety of Scales through Body Movement, Voice, and Touch
Susan Gerofsky
9 Mathematical Enskilment: Embodied Apprenticeships in Mathematical Taskscapes
Virginia J. Flood
10 Modalities, Image Schemas, and Mathematical Proof
Laurie D. Edwards
11 Event as Minimal Unit of Analysis: A Transactional Perspective on the Role of the Body in Mathematical Cognition
Wolff-Michael Roth
12 Discussion
Laurie D. Edwards and Christina M. Krause
Index 329
