Abstract of Plenary Speech Presented at the 10th Asian Technology Conference in Mathematics
December 12-19, 2005, South Korea

Modeling with Graphical Representations

Abraham Arcavi
Department of Science Teaching
Weizmann Institute of Science


Traditionally, the modeling of situations in mathematical language consists of creating symbolic expressions, work with and through them using mathematical principles and procedures, and to arrive at results which are then reiterpreted in terms of the situation. Technology has provided means to model situations also using graphical representations (before, in parallel, and even instead of symbolic representations). In this lecture we present examples of this kind of modeling, we will ilustarte their use with some data from our trials of them in classrooms, and we discuss the educational value of modeling with graphical representations. Finally we speculate on the emergence of a different way of of thinking: graphical reasoning.

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