The article socializes critical reflections on the issue of education by competences, made since 1995, once they were introduced in Colombia, through the SENA (1995-1996), and later, after 2000, in the international education system. In the Institution, the subject is under examination, first in the context of the Papyrus project (2008-2010) and since 2012, once the Pedagogical Model was developed (2013) and, more recently, in 2017, with the process of Curricular Resignification, which took as one of its referents the Competency Approach assumed by the UNIAJC (2016). Historical moments that constitute here only a link of mooring that gives continuity to the later reflection. From this perspective, conceptual considerations are revealed as a preamble, justification and access to the new approach proposed. In effect, attention is focused on the educational problem that brings or conceals the word, on the innovation that may or may not introduce the training processes and, at the same time, invites the study and consequent academic debate that is necessary in the present educational conditions that the world and the country are experiencing, which has to do with the great concerns that the term competition has aroused both in its insertion in the labor and educational fields, specifically in the university. On the other hand, in this problematic context of discussion, emerges the need, determined at the same time for theoretical and practical educational, social, economic and political reasons, to reinvent education, the model of Colombian university, where the relationship between society, university and Knowledge is of the greatest importance.