Geometry as Objective Science in Elementary School Classrooms
eBook - ePub

Geometry as Objective Science in Elementary School Classrooms

Mathematics in the Flesh

  1. 294 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Geometry as Objective Science in Elementary School Classrooms

Mathematics in the Flesh

About this book

This study examines the origins of geometry in and out of the intuitively given everyday lifeworlds of children in a second-grade mathematics class. These lifeworlds, though pre-geometric, are not without model objects that denote and come to anchor geometric idealities that they will understand at later points in their lives. Roth's analyses explain how geometry, an objective science, arises anew from the pre-scientific but nevertheless methodic actions of children in a structured world always already shot through with significations. He presents a way of understanding knowing and learning in mathematics that differs from other current approaches, using case studies to demonstrate contradictions and incongruences of other theories – Immanuel Kant, Jean Piaget, and more recent forms of (radical, social) constructivism, embodiment theories, and enactivism – and to show how material phenomenology fused with phenomenological sociology provides answers to the problems that these other paradigms do not answer.

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Yes, you can access Geometry as Objective Science in Elementary School Classrooms by Wolff-Michael Roth in PDF and/or ePUB format, as well as other popular books in Education & Education General. We have over one million books available in our catalogue for you to explore.

Information

Year
2011
Print ISBN
9781138378018
eBook ISBN
9781136732201
Edition
1

Table of contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright
  5. Contents
  6. List of Figures
  7. Preface
  8. Introduction: Of Hands, Flesh, and Mind
  9. Part A: Toward a Theory of Mathematics in the Flesh
  10. Part B: Stories of Mathematics in the Flesh
  11. Part C: Emergence of Geometry—An Objective Science
  12. Epilogue: From the Flesh to Society in the Mind
  13. Appendix: Transcription Conventions
  14. Notes
  15. References
  16. Index