Modelos matemáticos en un problema de epidemias

Abstract

[EN] The introduction of mathematical concepts through the development and the study of models have been addressed in several studies. The introduction of these models is usually done from the professor's speech and the student work is normally reduced to the experimentation with the given model. The IBM (Individual Based Model) approach to a problem is more understandable for the student, provides justi cationand can complement other approaches to the solution (di erential-continuous and/or discrete models). In this paper a teaching experience is presented, which tackles the same problem by means of complementary approaches on a continuous, discrete and IBM models basis. Finally, a methodological proposal is put forward in order to implement it using the Cooperative Learning and Problem/Project Based Learning

[ES] La introducción de conceptos matemáticos a través del desarrollo y estudio de modelos ha sido tratado en numerosos trabajos. La introducción de los modelos suele hacerse básicamente desde el discurso del professor y el trabajo del alumno suele reducirse a la experimentación con el modelo dado. La aproximación a un problema mediante modelos IBM (Individual Based Model) resulta más comprensible para el alumno, permite justificar y complementar otras aproximaciones a la solución (modelos diferenciales continuos y/o modelos discretos). En este trabajo se presenta una experiencia docente basada en afrontar un mismo problema mediante enfoques complementarios en base a modelos continuos, discretos e IBM. Finalmente se presenta una propuesta metodológica para ponerla en práctica utilizando el Aprendizaje Cooperativo y el Problem/Project Based Learning.