Adventures of Mind and Mathematics

Wolff-Michael Roth (Autor)

Buch | Softcover

XI, 260 Seiten

2021
Springer International Publishing (Verlag)
978-3-030-51811-0 (ISBN)

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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.

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.

Erscheinungsdatum	26.08.2021
Reihe/Serie	Mathematics in Mind
Zusatzinfo	XI, 260 p. 113 illus., 87 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	421 g
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	Cartesianism • cognitive mathematics • mathematical reasoning • progression of activation • transactional psychology
ISBN-10	3-030-51811-6 / 3030518116
ISBN-13	978-3-030-51811-0 / 9783030518110
Zustand	Neuware