Foundations Of Geometric Cognition


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Foundations of Geometric Cognition


Foundations of Geometric Cognition

Author: Mateusz Hohol

language: en

Publisher: Routledge

Release Date: 2019-09-12


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The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers. Foundations of Geometric Cognition shows that basic geometric skills are deeply hardwired in the visuospatial cognitive capacities of our brains, namely spatial navigation and object recognition. These capacities, shared with non-human animals and appearing in early stages of the human ontogeny, cannot, however, fully explain a uniquely human form of geometric cognition. In the book, Hohol argues that Euclidean geometry would not be possible without the human capacity to create and use abstract concepts, demonstrating how language and diagrams provide cognitive scaffolding for abstract geometric thinking, within a context of a Euclidean system of thought. Taking an interdisciplinary approach and drawing on research from diverse fields including psychology, cognitive science, and mathematics, this book is a must-read for cognitive psychologists and cognitive scientists of mathematics, alongside anyone interested in mathematical education or the philosophical and historical aspects of geometry.

Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being


Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being

Author: George Lakoff

language: en

Publisher:

Release Date: 2000-11-02


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A study of the cognitive science of mathematical ideas.

Numerical Cognition and the Epistemology of Arithmetic


Numerical Cognition and the Epistemology of Arithmetic

Author: Markus Pantsar

language: en

Publisher: Cambridge University Press

Release Date: 2024-03-31


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The first book-length philosophical account of arithmetical knowledge that is based on the state-of-the-art empirical studies of numerical cognition.