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

1st Edition

Wolff-Michael Roth

Routledge
Published August 23, 2018
Reference - 294 Pages - 76 B/W Illustrations
ISBN 9781138378018 - CAT# K398121
Series: Routledge International Studies in the Philosophy of Education

USD$56.00

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Summary

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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