The present study is aimed at promoting the use of pedagogical guidelines to strengthen the practice of the teacher of mathematics, through the use of specific competences of the area, in this sense the present research focuses on what happened in the process of teaching mathematics from pedagogical approaches proposed by the “Ministerio de Educación Nacional”, Colombia, as a result, it is proposed as a general objective to promote the use of pedagogical guidelines based on the Singapore model to enhance the teaching of mathematical skills, in order to be able to face the challenges of new educational spaces thought as transforming elements of the educational reality. On the other hand, this research is contextualized in the educational institutions “Lucio Pabón” in Ocaña and “Confanorte” in Los Patios, Norte de Santander, Colombia, to achieve such purposes, a qualitative ethnographic methodology was used, and field since it intends to interact with the object of study and its incidence in reality. For this, three teachers from the area of mathematics in each institution were selected, considered as key informants, since they will be in charge of supplying the diagnostic information and, from there, emphasizing the qualitative method using triangulation as the main method of analysis, from which emerged some categories that ensured the need to transform the praxis of the teacher, for this reason a proposal based on the Singapore method and on mathematical competences has been designed for the teachers of the indicated context.