Abstract Presented at the 10th Asian Technology Conference in Mathematics
December 12-19, 2005, South Korea

A methodology for experimentation in Cabri 2 Plus and Cabri 3D using parabolas as examples

Jean-Jacques Dahan
jjdahan@wanadoo.fr
IREM of Toulouse
France

Abstract

I will show how: 1/ Cabri 2 Plus allows us to rediscover theorems related to the cross ratio of four tangents to a parabola. 2/ Cabri 3D allows us to see that the parabola y = x is the intersection of a cone and a plane. I will analyze these explorations using a framework that I have recently developed, based on the work of Parzysz,Duval, Johsua and Millar.

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