Date: Apr 27, 2000 7:58 PM
Author: Jon Roberts
Subject: Re: proof in geometry
Hi Maria,

I have used dynamic/interactive geometry for many years and a schema that I

use in approaching proof with students from year 7 to 12 goes like this.

Experience

Investigate <---> Conjecture

Believe

Prove

The important step regarding proof is the movement from Belief to Proof and

I describe "Proof" to my students as the wider communication of a personal

belief.

It works.

Regards,

Jon Roberts

maria alice wrote:

> I have being working with dynamical geometry in a Euclidian Geometry

> course. The environment works very well for conjecturing. But for

> proving the results that are visually stable... that is another PROBLEM.

>

> So I am interested in research results that focus on the question: how

> to promote in such environment ÃÂforms of thoughtÃÂ which could empower

> students in creating proofs. If too general , maybe some key words would

> be: theorems in motion, recasting of classical theorems, reasoning

> beyond indutive and deductive...

> Thanks for your attention

> Maria Alice