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Geometry as Objective Science in Elementary School Classrooms

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Geometry as Objective Science in Elementary School Classrooms Synopsis

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.

About This Edition

ISBN: 9781138378018
Publication date:
Author: WolffMichael Roth
Publisher: Routledge an imprint of Taylor & Francis Ltd
Format: Paperback
Pagination: 294 pages
Series: Routledge International Studies in the Philosophy of Education
Genres: Philosophy and theory of education
Primary and middle schools
Geometry