Admittedly, the study of Complex Analysis (CA) requires of the student considerable mental effort characterized by the mobilization of a related thought to the complex mathematical concepts. Thus, with the aid of the dynamic system Geogebra, we discuss in this paper a particular concept in CA. In fact, the notion of winding number v[f(gamma),P] = n has a profound topological and geometrical meaning. Moreover, we record the effort of some authors in order to emphasize its intuitive description (Needham, 2000). We will show some basics commands that allow too the exploration of geometric and topological ideas related to the Rouché's theorem and the Fundamental Theorem of Algebra (TFA) (Alves, 2014).