The present investigation work has as main objective to determine the procedures mechanical memoristics in the resolution of mathematical problems and its incidence in the development of abilities cognitive a focus decrease that has limited its didactics to the memorization and mechanization of processes, the lack of understanding of the transversally of the concepts that allows the student to flow among the different systems without breaking into fragments the curriculum, the lack of relationship of these contents with the student’s environment, the reproduction of mechanical processes that favor the memorization and limit the development of the thought, the contributions of the investigation for the solution of the problem and of the proposal it is given in the systematic organization of the resolution of problems where the students put at stake the acquired knowledge and find roads so that they can imagine conjectures or hypothesis, to argue, to explain and to justify the used procedures, to communicate conclusions, discoveries or produced solutions and of course, the use of the abilities cognitive.