Mathematical representation at the interface of body and culture
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Series Preface. Preface. Social Bodies and Mathematical Cognition: An Introduction, Wolff-Michael Roth. PART A: MOVING AND TRANSFORMING BODIES IN/AS MATHEMATICAL PRACTICE. Editor's Section Introduction. Transformation Geometry from an Embodied Perspective, Laurie D. Edwards. Signifying Relative Motion: Time, Space and the Semiotics of Cartesian Graphs, Luis Radford. What Makes a Cube a Cube? Contingency in Abstract, Concrete, Cultural and Bodily Mathematical Knowings, Jean-Francois Maheux, Jennifer, S. Thom, and Wolff-Michael Roth. Embodied Mathematical Communication and the Visibility of Graphical Features, Wolff-Michael Roth. Editor's Section Commentary. PART B: EMERGENCE OF OBJECTS AND UNDERSTANDING. Editor's Section Introduction. Supporting Students' Learning About Data Creation, Paul Cobb and Carrie Tzou. How Do You Know Which Way the Arrows Go? The Emergence and Brokering of a Classroom Math Practice, Chris Rasmussen, Michelle Zadieh, and Megan Wawro. Inscription, Narration and Diagram-Based Argumentation: Narrative Accounting Practices in Primary Mathematics Classes, Gotz Krummheuer. Editor's Section Commentary. PART C: STEPS TOWARD RETHINKING MATHEMATICS EDUCATION. Editor's Section Introduction. And so...? Brent Davis. Expressiveness and Mathematics Learning, Ian Whitacre, Charles Hohensee, and Ricardo Nemirovsky. Gesture, Abstraction, and the Embodied Nature of Mathematics, Rafael E. Nunez. Editor's Section Commentary. PART D: EPILOGUE. Appreciating the Embodied Social Nature of Mathematical Cognition, Wolff-Michael Roth. About the Authors.