On the relationship between school mathematics and university mathematics : A comparison of three approaches

Journal article

Scheiner, Thorsten and Bosch, Marianna. (2023). On the relationship between school mathematics and university mathematics : A comparison of three approaches. ZDM Mathematics Education. 55, pp. 767-778. https://doi.org/10.1007/s11858-023-01499-y
AuthorsScheiner, Thorsten and Bosch, Marianna
Abstract

This paper examines how different approaches in mathematics education conceptualise the relationship between school mathematics and university mathematics. The approaches considered here include: (a) Klein’s elementary mathematics from a higher standpoint; (b) Shulman’s transformation of disciplinary subject matter into subject matter for teaching; and (c) Chevallard’s didactic transposition of scholarly knowledge into knowledge to be taught. Similarities and contrasts between these three approaches are discussed in terms of how they frame the relationship between the academic discipline and the school subject, and to what extent they problematise the reliance and bias towards the academic discipline. The institutional position implicit in the three approaches is then examined in order to open up new ways of thinking about the relationship between school mathematics and university mathematics.

Keywordsdidactic transposition; elementarisation; school mathematics; transformation of disciplinary subject matter; university mathematics
Year2023
JournalZDM Mathematics Education
Journal citation55, pp. 767-778
PublisherSpringer
ISSN1863-9690
Digital Object Identifier (DOI)https://doi.org/10.1007/s11858-023-01499-y
Scopus EID2-s2.0-85162262216
Open accessPublished as ‘gold’ (paid) open access
Page range767-778
Publisher's version
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File Access Level
Open
Output statusPublished
Publication dates
Online20 Jun 2023
Publication process dates
Accepted30 May 2023
Deposited09 Aug 2023
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