  Problem-based learning (PBL) is a constructivist learner-centered
instructional approach based on the analysis, resolution and discussion of a
given problem. It can be applied to any subject, indeed it is especially useful
for the teaching of mathematics. When compared to "traditional" teaching, the
PBL approach requires increased responsibility for the teachers (in addition to
the presentation of mathematical knowledge, they need to engage students in
gathering information and using their knowledge to solve given problems). It
thus become crucial that the future teachers become aware of its effectiveness.
One of the main obstacle to this awareness lies usually on the fact that future
teachers did not find this methodology in their own pre-service training. In
this paper we will describe the attempt to introduce PBL in University courses
so to have future maths teacher "experience mathematics" themselves.
