Dynamic systems, in general, and discrete dynamic systems based on iterative methods, in particular, have several features that can be exploited: they can be performed by computation and there are graphical tools ready to understand the concepts at a glance. New trends in didactics, especially for graduate students, focus on students. In this sense, realising what keeps students motivated is the first step to success. Our approach consists of problem-based learning, analysing each concept and designing tasks accordingly. Obviously, this revolution does not happen overnight, but requires an in-depth study of students' abilities and their learning abilities. © 2020 Nova Science Publishers, Inc.