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Interdisciplinary Perspectives on Math CognitionGeometric Cognition

Interdisciplinary Perspectives on Math Cognition: Geometric Cognition [Geometric Cognition, or the more inclusive Spatial/Visual Reasoning in mathematics and its applications are often overlooked in a focus on mathematical cognition in algebra, calculation and logic. Both school curriculum and pedagogy, and discussions of the cognitive work of the mathematical mind can miss the central role of spatial/visual reasoning in supporting learning and applications of mathematics. Gaps in spatial visual reasoning can develop during schooling which does not build 3-D spatial reasoning and become a barrier to many post-secondary areas of work and study. This chapter builds on reflections of decades as an active applied geometer and instructor of future teachers. It also draws on both historical examples and recent studies to document the central contribution of geometric cognition to developing the mathematical mind.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Interdisciplinary Perspectives on Math CognitionGeometric Cognition

Part of the Mathematics in Mind Book Series
Editors: Danesi, Marcel
Whiteley, Walter
Interdisciplinary Perspectives on Math Cognition — Sep 15, 2019
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References (14)

Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2019
ISBN
978-3-030-22536-0
Pages
247 –263
DOI
10.1007/978-3-030-22537-7_13
Publisher site
See Chapter on Publisher Site

Abstract

[Geometric Cognition, or the more inclusive Spatial/Visual Reasoning in mathematics and its applications are often overlooked in a focus on mathematical cognition in algebra, calculation and logic. Both school curriculum and pedagogy, and discussions of the cognitive work of the mathematical mind can miss the central role of spatial/visual reasoning in supporting learning and applications of mathematics. Gaps in spatial visual reasoning can develop during schooling which does not build 3-D spatial reasoning and become a barrier to many post-secondary areas of work and study. This chapter builds on reflections of decades as an active applied geometer and instructor of future teachers. It also draws on both historical examples and recent studies to document the central contribution of geometric cognition to developing the mathematical mind.]

Published: Sep 15, 2019

Keywords: Geometric cognition; Spatial reasoning; Spatializing curriculum; Klein’s hierarchy; Symmetry and transformations; Blending across multiple intelligences

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