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This paper discusses a possible solution to low graduation rates in higher education, and particularly postgraduate students, given that for every 10 students that complete their course programs in Mexican higher education institutions, only 2.9 graduate. There are a number of reasons for this, notably student inconsistency and a lack of support from institutions. A thesis is an argumentative discourse that requires systematic intellectual support based on models of this nature. Toulmin’s heuristic model of argumentation was chosen in order to organize, around a subject of research, mental representations that are, at the outset, disorganized and vague. The experience with four classes in a residency of the master’s program in the School of Psychology of the National Autonomous University of Mexico (UNAM), and analysis of student graduation from 2012 to 2015, produce a promising model for increasing graduation rates. [ABSTRACT FROM AUTHOR]