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The Body in Mathematics
Theoretical and Methodological Lenses
Series: - Mathematics Teaching and Learning, Volume: 7
An embodied perspective on mathematical thinking, teaching and learning has grown from early theoretical and empirical work in the 90âs 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.
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.
Laurie D. Edwards is Professor of Education, Emerita at Saint Mary's College of California. Her research addresses learning and cognition, embodiment, and the multiple modalities involved in doing, teaching, and learning mathematics. She is particularly interested in gesture and cognitive linguistics in mathematics.
Christina M. Krause is Assistant Professor of Mathematics Education at the University of Graz in Austria. Her research centers around the topics of language, embodiment, and multimodality in mathematics thinking and learning, integrating both individual and social perspectives, with a particular interest in understandings and practices of diversity and inclusion related to mathematics education.
Christina M. Krause is Assistant Professor of Mathematics Education at the University of Graz in Austria. Her research centers around the topics of language, embodiment, and multimodality in mathematics thinking and learning, integrating both individual and social perspectives, with a particular interest in understandings and practices of diversity and inclusion related to mathematics education.
List of Figures and Tables
Notes on Contributors
1 Introduction: Locating the Body in Mathematics
âLaurie D. Edwards and Christina M. Krause
2 Bodies, Incorporeals, and the Birth of a Mathematical Diagram
âRicardo Nemirovsky
3 Embodied Experimentation with Albertiâs Window
âCorey Brady
4 Sensed Objects, Sensing Subjects: Embodiment from a Dialectical Materialist Perspective
âLuis Radford
5 Action, Attention, and Multimodal Scaffolding: A Cognitive-Developmental Perspective on Embodiment, Interaction, and Activity
âMartha W. Alibali
6 Intercorporeal Functional Dynamic System: A Dual Eye-Tracking Study of Student-Tutor Collaboration on a Mathematics Embodied Design
âAnna Shvarts and Dor Abrahamson
7 Ecological Foundations to the Creation of New Meaning
âJames A. Dixon, Matthew Petersen and Ashwin Vaidya
8 Experiencing Mathematical Relationships at a Variety of Scales through Body Movement, Voice, and Touch
âSusan Gerofsky
9 Mathematical Enskilment: Embodied Apprenticeships in Mathematical Taskscapes
âVirginia J. Flood
10 Modalities, Image Schemas, and Mathematical Proof
âLaurie D. Edwards
11 Event as Minimal Unit of Analysis: A Transactional Perspective on the Role of the Body in Mathematical Cognition
âWolff-Michael Roth
12 Discussion
âLaurie D. Edwards and Christina M. Krause
Indexâ329
Notes on Contributors
1 Introduction: Locating the Body in Mathematics
âLaurie D. Edwards and Christina M. Krause
2 Bodies, Incorporeals, and the Birth of a Mathematical Diagram
âRicardo Nemirovsky
3 Embodied Experimentation with Albertiâs Window
âCorey Brady
4 Sensed Objects, Sensing Subjects: Embodiment from a Dialectical Materialist Perspective
âLuis Radford
5 Action, Attention, and Multimodal Scaffolding: A Cognitive-Developmental Perspective on Embodiment, Interaction, and Activity
âMartha W. Alibali
6 Intercorporeal Functional Dynamic System: A Dual Eye-Tracking Study of Student-Tutor Collaboration on a Mathematics Embodied Design
âAnna Shvarts and Dor Abrahamson
7 Ecological Foundations to the Creation of New Meaning
âJames A. Dixon, Matthew Petersen and Ashwin Vaidya
8 Experiencing Mathematical Relationships at a Variety of Scales through Body Movement, Voice, and Touch
âSusan Gerofsky
9 Mathematical Enskilment: Embodied Apprenticeships in Mathematical Taskscapes
âVirginia J. Flood
10 Modalities, Image Schemas, and Mathematical Proof
âLaurie D. Edwards
11 Event as Minimal Unit of Analysis: A Transactional Perspective on the Role of the Body in Mathematical Cognition
âWolff-Michael Roth
12 Discussion
âLaurie D. Edwards and Christina M. Krause
Indexâ329
Researchers and advanced students interested in the role of the body in mathematics thinking and learning, including scholars in mathematics education, educational psychology, multimodality, and the learning sciences