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.