## Computer Algebra Systems for Teaching
Students and Learning Mathematics

Bernhard Kutzler

Austrian Center for Didactics of Computer Algebra

A-2020 Hollabrunn, Austria

**Abstract.**
First of all, we are teaching students. Second we
are teaching subjects such as mathematics.
Computer Algebra Systems (CAS) change the way we
teach mathematics and allow us to address the individual
needs of students.

Confuzius says: "Give a person a fish - and
you feed them for a day. Teach a person to fish -
and you feed them for a lifetime." We demonstrate
with examples how to best use CAS to teach
students of all abilities to fish for
mathematical knowledge. We also provide a general
framework around these examples.