# 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

Authors | Scheiner, 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. |

Keywords | didactic transposition; elementarisation; school mathematics; transformation of disciplinary subject matter; university mathematics |

Year | 2023 |

Journal | ZDM Mathematics Education |

Journal citation | 55, pp. 767-778 |

Publisher | Springer |

ISSN | 1863-9690 |

Digital Object Identifier (DOI) | https://doi.org/10.1007/s11858-023-01499-y |

Scopus EID | 2-s2.0-85162262216 |

Open access | Published as ‘gold’ (paid) open access |

Page range | 767-778 |

Publisher's version | License File Access Level Open |

Output status | Published |

Publication dates | |

Online | 20 Jun 2023 |

Publication process dates | |

Accepted | 30 May 2023 |

Deposited | 09 Aug 2023 |

https://acuresearchbank.acu.edu.au/item/8z7v7/on-the-relationship-between-school-mathematics-and-university-mathematics-a-comparison-of-three-approaches

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