
According to the premise that one of the basic ways to influence on the quality of the mathematical education of basic levels students is to improve the training of the teachers; and based on a study which was made to determine the strength of the algebraic knowledge of practicing teachers, which revealed a shortcoming preventing the mastering of advanced concepts to automatically translate into a more significant work in scholar algebra, a proposal for the transformation of the focus of university algebra courses for future teachers was written. The proposal, described in this article, manages to link elements of pedagogic and disciplinary training in order to strengthen both, using as strategy the careful construction of signification of algebraic concepts which include a study of its historic evolution, the study of the connections, of the elements and arguments shared with other mathematical fields, and the presentation of particular problems and questions involving discussion and research. All the above is expressed a text which is being used in teaching training programs in Colombia as well as in other South American countries, with positive results.