Guía didáctica para mejorar la enseñanza de la integración múltiple aplicada al cálculo de área y volumen de sólidos con apoyo de recursos educativos

Abstract

The present degree work is routed to the construction of a guide with learning resources in order to develop the teaching of the mathematical contents of the multiple integration in Areas and Volumes. Studies prove that the Multivariable Calculus is important in practical applications. However, they assert that the contents are complex for nature and allude that a trouble for the students is its graphic interpretation because of the functions construction in the space is laborious, to project and to identify the types of regions of integration not always is possible of visualize mentally. The little or the null training what concerns to spatial visualization is due to the lack of its treatment in the classrooms. For this reason is beautiful to perform perceptible entities that ease the comprehension of the contents directed to the students, in the same way, to allow to develop spacial abilities that get better the education. For this, it was collected information about the problems and the actual obstacles applying field investigation techniques. The study was performed to the students of the Pedagogía de las Ciencias Experimentales career of the University of Cuenca who studied the subject of Funciones de Varias Variables from 2017 to 2019. The results show the topics where turmoil occurs, as well as the techniques and methods used to approach the topic by the teacher, among others. Whereby it was designed a guide that contains eight lesson plans about the concepts and applications related to the topic. It was developed under the Constructivist Approach with teaching strategies supported by concrete material. The objective is to provide teaching work alternatives and awake the students interest toward the subject and to motivate them to get their goals with a Significative Learning.