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Adventures of Mind and Mathematics de Wolff-Michael Roth

Adventures of Mind and Mathematics: Mathematics in Mind

Autor Wolff-Michael Roth
en Limba Engleză Paperback – 25 aug 2021
This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educationaltheory and/or social development, or with a broad background in psychology.
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Specificații

ISBN-13: 9783030518110
ISBN-10: 3030518116
Ilustrații: XI, 260 p. 113 illus., 87 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.39 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Springer
Seria Mathematics in Mind

Locul publicării:Cham, Switzerland

Cuprins

Part A. Foundations.- 1. Toward an Organismic Theory of Mind.- 2. Primacy of Events.- Part B. Extensions.- 3. Mathematical Thinking as Event.- 4. On Signifier-Things and Signing-as-Event.- 5. When Does Mathematical Form Make Sense?.- 6. Genesis of Mathematical Reasoning.- 7. Affect in the Mathematical Mind.- Part C. Integrations.- 8. The Thinking Body of Mathematics.- 9. Experience, Mathematics, and Mind.- Appendix.- Index. 

Textul de pe ultima copertă

This monograph uses the concept and category of “event” in the study of mathematics as it emerges from an interaction between levels of cognition, from the bodily experiences to symbolism. It is subdivided into three parts.The first moves from a general characterization of the classical approach to mathematical cognition and mind toward laying the foundations for a view on the mathematical mind that differs from going approaches in placing primacy on events.The second articulates some common phenomena–mathematical thought, mathematical sign, mathematical form, mathematical reason and its development, and affect in mathematics–in new ways that are based on the previously developed ontology of events. The final part has more encompassing phenomena as its content, most prominently the thinking body of mathematics, the experience in and of mathematics, and the relationship between experience and mind. The volume is well-suited for anyone with a broad interest in educational theory and/or social development, or with a broad background in psychology.

Caracteristici

Presents a transactional approach to the question of mind mathematics, thus overcoming the body-mind dualism that exists even in embodiment and enactivist approaches Provides an alternative to common issues in theories of mathematical knowing and learning Uses empirical examples throughout, grounding discussions in real events