Geometric Cognition

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.