Geometry as objective science in elementary school classrooms [electronic resource] : mathematics in the flesh / Wolff-Michael Roth.
Roth, Wolff-Michael, 1953-
2011
QA461 .R68 2011
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Title Geometry as objective science in elementary school classrooms [electronic resource] : mathematics in the flesh / Wolff-Michael Roth.
Author Roth, Wolff-Michael, 1953-
ISBN 9780415891578
0203817877 (electronic book)
9780203817872 (electronic book)
Imprint New York : Routledge, 2011.
Language English
Description xv, 293 p. : ill.
Call Number QA461 .R68 2011
Dewey Decimal Classification 372.7
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"-- Provided by publisher.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Series Routledge international studies in the philosophy of education ; 27.
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pt. a. Toward a theory of mathematics in the flesh
pt. b. Stories of mathematics in the flesh
pt. c. Emergence of geometry : an objective science.

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