Uso de representaciones semióticas en el método de integración por partes y su Influencia con el rendimiento académico

Abstract

Abstract: Integral Calculus has historically turned out to be a complex content in the learning of university students. The calculation of an indefinite integral is one of the procedures that students show the greatest difficulty. This paper deals with the method of integration by parts from a novel approach, the use of semiotic representation records. This approach seeks to provide the community of academics and students with an additional and easy procedure with respect to the traditional formula ∫ 𝑢𝑑𝑣 = 𝑢𝑣 − ∫ 𝑣𝑑𝑢 , where students present fundamental critical knots such as the correct selection of 𝑢 and 𝑑𝑣. Using the records for semiotic representation as the natural language register for the selection of 𝑢 and 𝑑𝑣 in the method of integration by parts, unravels this critical knot and several critical knots in advance to compute the indefinite integral. The tabular log closely together with the algebraic log allow you to easily finish calculating the indefinite integral. This is based on the results obtained from a didactic sequence applied to a group of students of the subject calculus of a variable.