The didactics of science gives didactics, as discipline, a larger framework review placed beyond the pedagogical school frame. The models constituted in the last decades have a very clear purpose, to provide support, the processes of learning, and to prepare the student for professional situations and social complex, related inclusively to the cultural environment and family. The curricular decisions in this direction are not just external in the perspective of applying general didactics to the specific of mathematics as a discipline. The theoretical framework of didactic of science is outlined at the epistemological level by the means of a set of notions introduced, by specialists when they analyze didactic of disciplines from perspective of the process assimilation of science, starting with the representation until deepening the concepts and their articulation in theories and paradigms.
Key words: didactic applied, didactic science, didactic transposition, didactic contract