The use of artificial cognitive systems (ACS) in processes for teaching-learning mathematics is proposed in this article. The theoretical justification for that implementation is based on a view of mathematics and the teaching mathematics as sciences and the cognitive sciences, from which the so-called Computational Representational Model of Mathematics (MCRMATH) has emerged. This model of mathematics shows why mathematics teaching and learning can and should be mediated by artificial cognitive systems, which are to be understood as tools for cognitive reorganization. An understanding of the knowledge produced through the use of tools provided by artificial cognitive systems is important to the teaching mathematics. The software licensed as Matlab and Mathcad was used in the examples presented in this study.