Geometry as Objective Science in Elementary School Classrooms
Mathematics in the Flesh
- 294 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
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 â Immanuel Kant, Jean Piaget, and more recent forms of (radical, social) constructivism, embodiment theories, and enactivism â and to show how material phenomenology fused with phenomenological sociology provides answers to the problems that these other paradigms do not answer.
Frequently asked questions
Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright
- Contents
- List of Figures
- Preface
- Introduction: Of Hands, Flesh, and Mind
- Part A: Toward a Theory of Mathematics in the Flesh
- Part B: Stories of Mathematics in the Flesh
- Part C: Emergence of GeometryâAn Objective Science
- Epilogue: From the Flesh to Society in the Mind
- Appendix: Transcription Conventions
- Notes
- References
- Index