1. Nov 2001 1 1 1 IT, Algebra & Teachers Ø How to promote the use of technology by teachers in algebra?  Professional development w Many money has already been spend  Research on teachers practises: w Problems? w Obstacles?

2. Nov 2001 2 2 2 IT as a tool for research Ø Collaborative learning E.g.: AMICO (Delozanne, Grugeon)  Goal : w to make sense of algebraic expressions in arguing with  different virtual companions  a virtual mathematician

3. Nov 2001 3 3 3 Arguing with virtual agents Ø Problem:  Are (x²+8x+12) and (x – 3)(x- 5) equivalent expressions? Ø Solution :  Student : yes they are  Companion 1: I disagree. If I take x = 0…  Companion 2 : I disagree. By expanding…  Mathematician : They are not equivalent because…

4. Nov 2001 4 4 4 Computers of the future Ø Collaborative learning with virtual and human agents Ø New computers: Beyond the desktop  New input or display devices: w captors (e.g.: embodiment modeling, Arzarello)  Augmented reality: computers embedded in familiar objects w Electronic paper Ø New classrooms or schooling organization

5. Nov 2001 5 5 5 How can we affect the development of new technologies?