
02349726
a
2003b.01556
Dorier, J.L.
Teaching linear algebra at university.
Li Tatsien, Proceedings of the International Congress of Mathematicians. Vol. III. Higher Education Press, Beijing (ISBN 7040086905). 875884 (2002).
2002
Higher Education Press, Beijing
EN
H65
cognitive flexibility
Linear algebra represents, with calculus, the two main mathematical subjects taught in science universities. However this teaching has always been difficult. In the last two decades, it became an active area for research works in mathematics education in several countries. Our goal is to give a synthetic overview of the main results of these works focusing on the most recent developments. The main issues we will address concern:  the epistemological specificity of linear algebra and their interaction with research in history of mathematics  the cognitive flexibility at stake in learning linear algebra  three principles for the teaching of linear algebra as postulated by G. Harel  the relation between geometry and linear algebra  an original teaching design experimented by M. Rogalski. (Author's summary)