Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



Re: proof in geometry
Posted:
May 1, 2000 6:53 PM


>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
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 selfevident 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 selfevident.
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 !! Email: angel.gutierrez@uv.es 46071 Valencia (Spain) URL: http://www.uv.es/~didmat/angel/Index.html



