In this work the operation in situations of representation semiotic registries is observed. It is to say, how the learning of mathematical objects can be facilitated, in this case linear equations systems and the solution of the same one, making conjugate in a sequence situations that in addition imply work in different representation semiotic registries and passage among them.
The sustenance to construct this sequence is the previous research on this area, on the observed phenomena relative to the use representation semiotic registries in the learning; on the necessity to raise to the student activities that induce it to pass by action situations, formulation and validation; and also those that explain problems relative to the learning of these mathematical objects.
The objective is to elaborate and to probe a "quality" education sequence that facilitates the learning of linear equations systems and solution of the same one, and look for mathematical behaviors in the students task that facilitate the learning of the object and also to obtain cognitive behaviors doing that the treatment and the passage of representation semiotic registries are the axis around as the construction of the activities moves.
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