Difficulties in the appropriation of the concept of computability in Systems Engineering students
Artículo de revista
2021
Colombia
Journal of Positive Psychology & Wellbeing
6
1
2311
2317
2311-2317
The study was carried out in the city of Bogotá, during the first semester of the year 2020, at the higher
education institution Escuela Tecnológica Instituto Técnico Central, in the subject discrete
mathematics. The population consisted of 26 students. The mixed approach of the research has a
sequential design and its objective was to analyze the relationship between the levels of appropriation
of the concept of computability and the difficulties experienced by students around four variables. One
of the main difficulties in the appropriation of the concept of computability comes from the mathematics
of computability and specifically is related to the understanding of mathematical concepts, symbolism
and algebraization; it also requires the holistic vision of the existing isomorphism between set theory,
propositional logic, logical circuits and Boolean algebra. The results show that the difficulties
characterized are close to the levels of appropriation (identified) around the concept of computability.
The limitations corresponded to the crisis generated by the Covid 19, where it was not possible to apply
the instruments in person. The teaching of mathematics in current times will not be the same as before,
where the emphasis was on continuous mathematics; there is a new look towards the discrete and the
finite. Finally, a series of guidelines for mathematics teaching in the XXI century in engineering
faculties are proposed.
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