Towards an alternative approach to modelling in school mathematics

Schürmann Uwe

Research article (journal) | Peer reviewed

Abstract

This article analyses the philosophical underpinnings of mathematical modelling with the focus on the modelling cycles in mainstream mathematics education. Due to its background of epistemological representation, the main focus is set on Kantian philosophy. I argue that representational thinking leads to a problematic view on mathematics and its relation to reality. Finally, I outline an alternative approach to mathematical modelling according to Deleuze's differential ontology.

Details about the publication

Volume15
Issue1
Page range228-250
StatusPublished
Release year2018
Language in which the publication is writtenEnglish
Link to the full texthttps://scholarworks.umt.edu/cgi/viewcontent.cgi?article=1425&context=tme
KeywordsDeleuze; Kant; Modelling; Mathematics Education; Representation

Authors from the University of Münster

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