Mathematical modelling, computers and GeoGebra in university and college mathematics education

In this paper we present a way of introducing innovation in the teaching process by applying new teaching methods that are based on the principles of active learning and mathematical modelling, empowered by computers and mathematical software GeoGebra. The paper deals with experiences from teaching process, concerning both aspects: teachers and students point of view. Step by step procedure of making mathematical model is explained - from starting preparation, to implementing GeoGebra in mathematics education. Direct application of new teaching methods based on principles of active learning, and mathematical modelling are illustrated in the paper by examples processed by using mathematical modeling as teaching method and GeoGebra as software tool.