The idea of numbers as counting and its work in preschool is mediated by the work with the system of representations in counting tasks. In which the relationship between two specific elements is put into practice, the symbol and the object, which are necessary but not sufficient for the development of counting tasks, therefore it is necessary to establish a relationship between the abstract and the concrete entity to provide a total understanding of the principles of counting in the system of representations, this relationship alludes to what if understood through the object can be understood through internal representations. The work seeks to verify through a sequence of activities the importance of the proposed system of representations and to demonstrate if it allows in the counting tasks to develop the classification, seriation, and principles of counting for the resignification of the symbol in preschool-grade.