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The object of this presentation consists of analyzing the knowledge that is put into play when the students need to give some validation of their productions. For it, we look for classes fragments on numerical interpretations in the first year of the basic education corresponding to data of an research project on the learning and the education of the numeration system directed by D. Lerner. It interests to us to reflect approaches of the impact on the infantile numerical learning that can get to have the validation processes, in which the students introduce themselves in the criteria search to settle down if their productions have been correct and about some educational interventions directed to install and to maintain such processes. [ABSTRACT FROM AUTHOR]