Geometry as Objective Science in Elementary School Classrooms: Mathematics in the Flesh (Hardback) book cover

Geometry as Objective Science in Elementary School Classrooms

Mathematics in the Flesh

By Wolff-Michael Roth

© 2011 – Routledge

294 pages | 76 B/W Illus.

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Hardback: 9780415891578
pub: 2011-03-28
eBook (VitalSource) : 9780203817872
pub: 2011-05-09
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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.

Table of Contents


About the Author

Wolff-Michael Roth is Lansdowne Professor of Applied Cognitive Science at the University of Victoria. He researches knowing and learning related to mathematics and science across the entire life span. His recent publications include Language, Learning, Context (Routledge, 2010), Science Education from People for People (Ed., Routledge, 2010), and Re/Structuring Science Education (Ed., Springer, 2010).

About the Series

Routledge International Studies in the Philosophy of Education

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Subject Categories

BISAC Subject Codes/Headings:
EDUCATION / Teaching Methods & Materials / Mathematics
EDUCATION / Philosophy & Social Aspects