Abstract This research project describes the results of applying two pedagogical methodologies: problem-based learning and the use of new information technologies through GeoGebra in the development of the theme of functions for students of public accounting. The research was developed from a positivist paradigm, quantitative approach of quasi-experimental type of pretest and posttest with control and experimental group. In order to determine the development of competencies, a diagnostic test was initially applied to evaluate the mathematical knowledge with which the students enter; then pretest and posttest tests were applied to the control and experimental groups, in which by means of an intervention plan to the experimental group in the posttest stage, favorable results were evidenced by improving the proportion of correct answers and the development of competencies in geometric algebraic reasoning compared to the pretest stage. One of the conclusions reached in the research is that applying other methodologies in class such as problem-based learning with the support of GeoGebra software encourages the process of teaching learning and students find applicability to the topics treated by associating them with situations of practical life.