Experiments with iterative methods for linear systems using GeoGebra and TI-Nspire

Algorithms and algorithmic thinking are key topics in STEM Education. By using algorithms approximate solutions can be obtained for analytical unsolvable problems. Before new methods can be safely applied they have to be thoroughly tested in experiments. In this article we present a series of exercise where students can experiment with algorithms and test them using GeoGebra or the TI-Nspire. Based on the results of such experiments the students can compare algorithms, showing them a heuristic and dynamical aspect of Mathematics.