into the Morphology of Polyhedra
The impact of visual
representations on understanding, and even more so, on actively doing
mathematics, has been intensively researched and is widely recognized. This is
particularly true for the study of 3-d geometry. What about the role of verbal
descriptions - - Are they necessarily needed? Simply redundant? Or are they
inappropriate, may be even disturbing???
In this paper we
attempt at demonstrating the crucial role verbalization plays as a complementary
mode to visualization, for dealing with 3-d geometry tasks, understandably and
insightfully. Our claim is that neither visualization alone nor verbalization in
itself suffices for meaningful conceptualization.
processes involved will be demonstrated in the context of Polyhedra.