Mathematics Education in the Context of certain classical Debates in Philosophy and Mathematics

Authors

DOI:

https://doi.org/10.23925/1983-3156.2022v24i2p041-062

Keywords:

Language, Logic, Philosophy, Mathematics, Different forms of Complementarity

Abstract

Abstract

The paper presents some illustrative turns in the history of the interactions between philosophy, logic, mathematics, and mathematical education since the 16th century. The underlying problem could be called the Aristotelian problem. Aristotle argued that any individual thing consists of a substantial form, which determines its general nature, and matter, which individuates the thing and makes it numerically distinct from other similar substances.

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Author Biographies

Michael Otte, Universität Bielefeld

Possui mestrado em Matemática pela Universidade de Erlangen (1963), doutorado em Matemática pela Universidade de Goettingen (1967) e doutorado em Matemática pela Universitat Munster (Westfalische-Wilhelms) (1972). Professor aposentado da Universidade de Bielefeld (Alemanha), recentemente atua como professor colaborador na Universidade Federal de Mato Grosso - UFMT simultaneamente no Programa de Pós Graduação em Educação (PPGE) do Instituto de Educação (IE) e no Programa de Pós Graduação em Educação em Ciências e Matemática - PPGECEM da REDE AMAZÔNICA DE EDUCAÇÃO EM CIÊNCIAS E MATEMÁTICA- REAMEC. Tem experiência na área de Matemática, com ênfase em Educação Matemática, atuando principalmente nos seguintes temas: Educação Matemática, Filosofia da Matemática, História da Matemática, História da Filosofia Analítica, Semiótica e Complementaridade.

Mircea Radu, Universität Bielefeld

Mircea Radu teaches Mathematics at the Oberstufen-Kolleg des Landes Nordrhein-Westfalen in Bielefeld, Germany. His research work covers topics in the history and phylosophy of mathematics and mathematics education.

References

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Published

2022-08-31

How to Cite

OTTE, M.; RADU, M. Mathematics Education in the Context of certain classical Debates in Philosophy and Mathematics. Educação Matemática Pesquisa, São Paulo, v. 24, n. 2, p. 041–062, 2022. DOI: 10.23925/1983-3156.2022v24i2p041-062. Disponível em: https://revistas.pucsp.br/index.php/emp/article/view/57311. Acesso em: 25 nov. 2024.

Issue

Section

Especial issue: Filosofia da Educação Matemática 2022