Obtención, análisis y verificación de un modelo matemático para la resolución de ecuaciones diferenciales ordinarias para la carrera de física de la Escuela Superior Politécnica de Chimborazo.

Abstract

The objective of this research was to obtain, analyze and verify a mathematical model for the resolution of ordinary differential equations for the Physics course at the Polytechnic School of Chimborazo. The scope of the research project was experimental with a quantitative approach, in addition to being descriptive and propositional. A questionnaire was applied to 42 students of the Physics Career of the Polytechnic School of Chimborazo to evaluate the level of learning about ordinary differential equations, which was given in two moments, the first one to measure the learning with traditional teaching and the second one after the use of the proposed application. Based on the preliminary results obtained, a mathematical model for solving ordinary differential equations based on the Python programming language was designed to help to solve problems and consolidate knowledge in a better way. The evaluation developed showed that the application of the mathematical model generated in Python allows overcoming difficulties that students present in traditional teaching, because in the initial evaluation, students obtained an average score of 6.2519, while in the evaluation after the use of the generated model, an average score of 7.59 was obtained. With this, it is concluded that the mathematical model developed for the resolution of ordinary differential equations helped the learning and understanding of the subject, so it is considered important to train teachers in the use of educational applications and software in the classroom, since it is considered as an appropriate teaching strategy to facilitate learning.