### Abstract

University mathematics education (UME) is considered, in this paper, as a kind of didactic practice - characterised by institutional settings and by the purpose of inducting students into mathematical practices. We present a research programme - the anthropological theory of the didactic (ATD) - in which this rough definition can be made much more precise; we also outline some cases of ATD-based research on UME. Three cases are presented in more detail. The first is a theoretical and empirical study of the topic of dual vector spaces, as it appears in undergraduate courses on linear algebra. The second case concerns a similar study of the practices and theories on limits of functions which students may develop in calculus courses. Finally, a third study illustrates the use of ATD to design and experiment innovative approaches to mathematical modelling in the setting of a first mathematics course for engineering students.

Original language | English |
---|---|

Pages (from-to) | 95-111 |

Number of pages | 17 |

Journal | Research in Mathematics Education |

Volume | 16 |

Issue number | 2 |

Early online date | 30 Jun 2014 |

DOIs | |

Publication status | Published - 2014 |

### Fingerprint

### Keywords

- anthropological theory of the didactic
- duality in linear algebra
- limits and calculus
- mathematical modelling
- university mathematics education

### Cite this

*Research in Mathematics Education*,

*16*(2), 95-111. https://doi.org/10.1080/14794802.2014.918345