This module focuses on the potential offered by technology regarding functions and functional
modelling of situations inside and outside mathematics. We consider especially technological
affordances for:
- flexible access to a diversity of representations of functional objects,
and connections between these;
- dynamic interaction between mathematical domains (e.g. geometry and algebra)
or between mathematics and the outside world;
- dynamic access to families of functional objects depending
on one or several parameters (through the use of sliders).
The module is structured around three families of situations.
Each of them enables exploring functional modelling from a different perspective:
- Shop signs (connections between geometry and algebra);
- Intersections and equations (families of functions depending on a parameter and equations);
- Pursuit curves (recursive approach to functions).
At the end of the module, teachers should have:
- gained a clear vision of these potentials;
- increased their mastery of the mathematical, didactical and instrumental knowledge
required for activating these in their classrooms, with appropriate technology;
- discussed and analysed collaboratively with colleagues realizations;
- designed a classroom session and experimented it;
- analysed different educational resources for supporting their professional activity;
- an idea where they can find additional resources.