Desarrollo de la comprensión de los conceptos de funciones lineales en los estudiantes de décimo año de educación básica: propuesta metodológica

Abstract

The present research is based on the need to overcome the conceptual gaps that occur during the learning process in the subject of mathematics and it aims to achieve an understanding of the basic concepts of linear functions that make up one of the most fundamental pillars within the knowledge domain of numbers and functions. We worked with a group of forty students of the Tenth Year Basic Education from "Manuela Cañizares", a school of the city of Cuenca where, from the fundamentals of constructivism, the guidelines of the Ministry of Education and the results of the diagnostic evaluation, focused on the perception of interest towards the conceptual support of the subject, its expectations, methods usually used in solving exercises and checking the level of knowledge of the prerequisites of the content, the basis for the development of a determined methodology that promotes the active participation of students through activities designed sequentially involving different registers of semiotic representation to favor the use of any cognitive ability in the construction of meaningful knowledge. To analyze the impact of the proposal, a new assessment was applied to determine the performance aspects of understanding of prerequisites, theme concepts and applications in the development of exercises. The result that was obtained showed that, the better the process of the conceptual building, the higher the level of students’ achievement and meaningful learning is achieved.