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Modeling of concepts and mathematical processes by petri nets: the case of integrability of real functions

Petri Nets (PNs) are a mathematical and graphical tool for general use. In this paper, the use of PNs is promoted as a modeling tool to organize the teaching of mathematical notions. The modeling presented in this work relies on the strong mathematical basis of PNs. As a case study, a model is constructed for teaching integrability of real functions, based on the evolution of the integral concept. With this aim, it is considered a real bounded function, defined on a closed and bounded interval, that is analyzed according to conditions which ensure or exclude its integration by Cauchy, by Riemann, by Lebesgue or by none of these integrals. The idea of modeling integrals using PN was originated in the context of mathematical classes, as the integral was being taught to first year engineering students.

Modeling; Teaching; Petri Nets; Integral


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