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Topic: proof in geometry
Replies: 6   Last Post: May 1, 2000 6:53 PM

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Angel Gutierrez

Posts: 9
Registered: 12/6/04
Re: proof in geometry
Posted: May 1, 2000 6:53 PM
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>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 “forms of thought” 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

There is an approach used quite often in mathematics education research to
overcome the obstacle of asking students to prove some conjecture that they
see as self-evident after dragging on the computer screen. The key question
should not be "Is such conjecture true? Prove it", but "Why does such
dynamic construction (or figure) remains stable after dragging?" In this
way, students are directed to focus the problem from a different viewpoint,
that they do not perceive as self-evident.

Look for publications by Alessandra Mariotti and/or Paolo Boero, in
proceedings of Psychology of Mathematics Education (PME) conferences and
other places.

Angel Gutierrez

Dpto. de Didactica de la Matematica !! Phone: (34) 96 386 4486
Universidad de Valencia !! Fax: (34) 96 386 4487
Apartado 22045 !! E-mail:
46071 Valencia (Spain)

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