To Be Presented in the 11th Asian Technology Conference in Mathematics
December 12-16, 2006, Hong Kong SAR, China

The Process of Discovery in the Research of Black Boxes with Cabri : a Model of this Process Permitting to Analyze the Process of Discovery of Open Problems

Jean-Jacques Dahan
IREM of Toulouse and IAM of Grenoble


I will present: 1. The results of my thesis of PhD showing all the different stages of the research of a black box done by students or experts. These results are confirmed with an historic approach of the process of discovery. 2. The stages before and after conjecture will be described accurately. They will be linked to the usual baconian empirist approach and the usual newtonian rationalist approach 3. The solving of a problem around numbers that can be analysed with my model.

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