Calculus, a cK¢ perspective on learners understanding

On the occasion of the international meeting on learning and teaching calculus to be held in Mexico in September 2015, I will address the problem of understanding and modelling students conceptions in this domain.
I will introduce the keynote by a survey of the recent book from Gilbert Arsac about the birth of Uniform convergence and the role played by Cauchy. Then I develop the case of understanding learners conceptions of function. The objective of this talk is to present, taking Calculus as an example, the use of the cK¢ modelling framework and discuss its effectiveness. A workshop may be organized to discuss the relevance and the technicalities of the approach in the case of the research carried out by the audience.

(Long version of the) slides-show in support to the keynote