The characterisation of the specialised knowledge of a university lecturer in linear algebra

International audienceThis paper analyses the classroom practice of a university lecturer in Linear Algebra under the model Mathematics Teacher’s Specialised Knowledge (MTSK). The knowledge revealed, related to the topic of Matrices and Determinants, is found to pertain chiefly to the sub-domain Knowledge of Topics (KoT). The categories of classification which comprise this sub-domain are of particular utility in the identification of this knowledge. Evidence of knowledge associated with other sub-domains comprising Subject Matter Knowledge and Pedagogical Content Knowledge is also found