Bernhard Kutzler* (Austria), b.kutzler@eunet.at
CAS as pedagogical tools

Computer algebra systems automate much of what we teach today . Many ways of
using such tools for teaching at virtually all grade levels have been proposed
in the past few years. We develop a two level framework for understanding,
categorizing, and planning the use of technology in teaching and learning. At
the first level we distinguish between the two basic uses of "automation" and
"compensation". At the second level we discuss the four applications as
pedagogical tools for "trivialization", "experimentation", "visualization", and
"concentration". Based on this framework we develop the "scaffolding method" as
a pedagogically justified sequence of using and not using technology to achieve
a given teaching goal. We demonstrate the method with two examples: Teaching
the solving of linear equations and teaching the solving of systems of linear
equations. Finally we discuss the implication of technology to assessment.