Geometry as Objective Science in Elementary School Classrooms: Mathematics in the Flesh

ISBN-13: 9780415891578 / Angielski / Twarda / 2011 / 312 str.

Wolff-Michael Roth

Opis

Grounded in philosophical approaches to cognition, this book presents a radical reframing of how children learn geometrical concepts in their early years. The book exhibits the shortcomings of other theories, including embodiment and enactivist approaches and advances an understanding of mathematics in the flesh.

Spis treści

Introduction: Of Hands, Flesh, and Mind  A. Toward a Theory of Mathematics in the Flesh  Introduction to Part A.  1. What Makes a Cube a Cube? A Phenomenological Overture  2. From Intellectualist Metaphysics to Embodiment Epistemologies  3. Material Life as the Organizing Principle of Knowing  B. Stories of Mathematics in the Flesh  Introduction to Part B.  4. The Flesh, Distractions, and Mathematics  5. Coordinating Touch and Gaze: Re/Constructing a Mystery Object  6. Emergence of Measurement as the Realization of Geometry  7. Doing Time in Mathematical Praxis  C. Emergence of Geometry – An Objective Science  Introduction to Part C.  8. Ethno-methods of Sorting Geometrically  9. Reproducing Geometry as Objective Science  10. Rethinking Mathematical Conceptions.  Epilogue: From the Flesh to Society in the Mind

O autorze

Wolff-Michael Roth is Lansdowne Professor of Applied Cognitive Science at the University of Victoria. He researches knowing and learning related to mathematics and science across the entire life span. His recent publications include Language, Learning, Context (Routledge, 2010), Science Education from People for People (Ed., Routledge, 2010), and Re/Structuring Science Education (Ed., Springer, 2010).