The Separation of Mathematics from Reality in Scientific and Educational Discourse

Schürmann, Uwe

Research article (book contribution) | Peer reviewed

Abstract

This contribution aims to illustrate that the separation between mathematics and reality is an outcome of several shifts in historic mathematics discourse. Therefore, Foucault's method of problematisation and Deleuze's distinction between axiomatic and problematic formalisation in mathematics are used to emphasize these shifts. Afterwards, a special attention is paid to mathematics teaching in German history. Here, it will be considered how reality was treated in the mathematics classroom due to the socio-political circumstances at a particular time.

Details about the publication

PublisherErnest, Paul
Book titleThe Philosophy of Mathematics Education Today
Page range241-251
Publishing companySpringer VDI Verlag
Place of publicationCham
Title of seriesICME-13 Monographs (ISSN: 2520-8322)
StatusPublished
Release year2018
Language in which the publication is writtenEnglish
ISBN978-3-319-77759-7
DOI10.1007/978-3-319-77760-3_15
Link to the full texthttps://link.springer.com/chapter/10.1007/978-3-319-77760-3_15
KeywordsDeleuze; Foucault; Frege; Kant; Mathematics; education; reality; separation

Authors from the University of Münster

Schürmann, Uwe
Professorship of Mathematics Didactics with a focus on secondary schools (Prof. Greefrath)