Subjective-objective relationship in the development of mathematical thinking from real objects to mathematical objects in education, didactics of mathematical operations

In the development of mathematical thinking necessary to establish relationships that allow the teacher and the student generate observations on the medium that lead to the reading of the context, from the concepts that have been established through culturally mathematics education, that enable subject-object relationship in a symbiosis such a transformation that generates actions and enables the development of this research on mathematical operations from the shares of construction, deconstruction occurs and since the number of roots of mathematical objects potentially perfect.