id: 02349726
dt: a
an: 2003b.01556
au: Dorier, J.L.
ti: Teaching linear algebra at university.
so: Li Tatsien, Proceedings of the International Congress of Mathematicians.
Vol. III. Higher Education Press, Beijing (ISBN 7-04-008690-5). 875-884
(2002).
py: 2002
pu: Higher Education Press, Beijing
la: EN
cc: H65
ut: cognitive flexibility
ci:
li:
ab: 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. (Authorâ€™s summary)
rv: