Nowadays exists different perspectives for the algebra school initiation, between them the historical perspective, problem solving, the functional, modeling and generalization (as numeric and geometric patterns, and the laws that govern the numeric relationships) stands out. This document attempt to explain sorne reflections around this last perspective, the generalization, concerning to their validation processes. These ideas become an investigation advance: "Mathematical generalization and validation Tools", carried out and financed by the ASDEM Educational and Pedagogical Researching Center; this reflections become a useful element in the moment to crea te activities to introduce the algebra in mathematics's subject.
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