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Adventures of Mind and Mathematics / by Wolff-Michael Roth

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Mathematics in MindPublisher: Cham : Springer International Publishing, 2020Publisher: Cham : Imprint: Springer, 2020Edition: 1st ed. 2020Description: 1 Online-Ressource(XI, 260 p. 113 illus., 87 illus. in color.)ISBN:
  • 9783030518097
Subject(s): Additional physical formats: 9783030518080 | 9783030518103 | 9783030518110 | Erscheint auch als: 9783030518080 Druck-Ausgabe | Erscheint auch als: 9783030518103 Druck-Ausgabe | Erscheint auch als: 9783030518110 Druck-AusgabeDOI: DOI: 10.1007/978-3-030-51809-7Online resources: Summary: 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. .Summary: 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.PPN: PPN: 1728469929Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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