Proposal of a Study Process for the Mathematical Training of Engineers

In this paper, after a brief analysis of the current epistemological model of mathematical training in engineering degrees in Madrid, we have detected the phenomenon of applicationism. To deal with this phenomenon we have designed and implemented a study process around the flow of vector fields for students to give meaning to surface integrals. The didactic organization designed, an activity of the study and research paths proposed by the anthropological theory of the didactic, has been experimented with two groups of students of the 2nd year of the degree of Industrial Systems Engineers. The discussion of the results obtained has allowed us to analyze the quality of the generative question, origin of the study process, and consider some of the restrictions which have been presented in its development to take them into account in the future design of new study processes.