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Re: proof in geometry
Posted:
Apr 27, 2000 7:58 PM
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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
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