The Professional Didactics (PD) and Didactics of Sciences (DC) have roots traditionally originated in France. While (PD) is interested in the process of adult learning, occurring in their work places, the (DC) shows greater attention to the field of action of teaching and learning of specific subjects and therefore in the action of the teacher in the classroom. On the other hand, in Brazil, we observe the development of research involving a perspective of complementarity, in view of the initial and continuous training of teachers working in Science and Mathematics teaching. Thus, the present work addresses some representative elements of (PD) that have an immediate field of application, in order to provide an understanding of the role and work developed by the teacher, in the teaching of disciplines, as well as the analysis of other related components, for example, with the notion of professional competence. In the end, the work accentuates the use of technology to provide an understanding of the notions discussed, with help in visualization, such as the use of GeoGebra software.