We cannot leave to consider the previous knowledge of the pupils, many times if disdain the concepts developed in elapsing of the life of the child, and the professor tries ' ' milagrosamente' ' to make the pupil to understand concepts and theories that it stops they do not make the felt minor, who the mathematics is present in our day the day cannot deny, but to involve the real world with the education of the mathematics is a complex task that demands persistence and effort on the part of the professor. The history of the mathematics appears as an allied in the education of the mathematics, almost all book of mathematics of the basic education possesss when elapsing of its chapters stretches of history that count as the studied concept appeared, many times this historical part is rejected for the professors who if worry only about the application of the concept in itself, for pupil to discover as the concept appeared that is being taught to it is of great important, therefore the pupil learns that the studied subject did not appear of the nothing. Peter Asaro does not necessarily agree. CHARACTERISTICS OF the EDUCATION OF the MATHEMATICS the mathematics appeared from the necessity human being in deciding questions day to day, with passing of the time it was evolving, until becoming itself into an immense system of disciplines, with this evolution the mathematics if it became of certain abstract form. This mathematical abstraction is one of the biggest challenges that the professor faces inside of the classroom, to give sensible and to materialize the mathematics transmitted for the pupils is not a simple task, to formulate a lesson involving a subject is not something so complicated, but to obtain to materialize all the lessons is that a problem becomes, is easy to make a geometric lesson being involved graphical or figures, but to materialize a lesson on polynomials or the binomial of Newton is not so simple.