Philosophy of Mathematical Practice: A Primer for Mathematics Educators

Hamami, Yacin; Morris, Rebecca Lea

doi:10.1007/s11858-020-01159-5

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Philosophy of Mathematical Practice: A Primer for Mathematics Educators

Hamami, Yacin; Morris, Rebecca Lea

2020 • In ZDM: the International Journal on Mathematics Education, 52 (6), p. 1113 - 1126

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https://hdl.handle.net/2268/290265

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10.1007/s11858-020-01159-5

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Keywords :

Mathematics (all); Education; General Mathematics

Abstract :

[en] In recent years, philosophical work directly concerned with the practice of mathematics has intensified, giving rise to a movement known as the philosophy of mathematical practice. In this paper we offer a survey of this movement aimed at mathematics educators. We first describe the core questions philosophers of mathematical practice investigate as well as the philosophical methods they use to tackle them. We then provide a selective overview of work in the philosophy of mathematical practice covering topics including the distinction between formal and informal proofs, visualization and artefacts, mathematical explanation and understanding, value judgments, and mathematical design. We conclude with some remarks on the potential connections between the philosophy of mathematical practice and mathematics education.

Disciplines :

Philosophy & ethics
Education & instruction

Author, co-author :

Hamami, Yacin ^✱; Université de Liège - ULiège > Traverses ; Centre for Logic and Philosophy of Science, Vrije Universiteit Brussel, Brussels, Belgium

Morris, Rebecca Lea ^✱; Minneapolis, United States

^✱ These authors have contributed equally to this work.

Language :

English

Title :

Philosophy of Mathematical Practice: A Primer for Mathematics Educators

Publication date :

November 2020

Journal title :

ZDM: the International Journal on Mathematics Education

ISSN :

1863-9690

eISSN :

1863-9704

Publisher :

Springer

Volume :

Issue :

Pages :

1113 - 1126

Peer reviewed :

Peer Reviewed verified by ORBi

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https://link.springer.com/content/pdf/10.1007/s11858-020-01159-5.pdf

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since 04 May 2022

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