Design and Implementation of Prepared Learning Environments to Develop Algebraic Thinking Skills

Abstract

Within the framework of the doctorate in educational sciences of the Universidad de San Buenaventura, Medellín-Colombia, attached to the research line: critical studies on education and curriculum, the present research was developed where some problems were identified in the teaching of mathematics, specifically in the learning environments used in the classrooms that do not favor the development of interesting classes, where students solve exercises in a fictitious way, making it impossible to apply knowledge outside the classroom, specifically within the social context in which students and their families develop. The thesis aimed to determine the incidence that prepared learning environments have on the development of algebraic thinking skills through a didactic proposal that involves the process of mathematization and mathematical modeling supported by the use of technology such as embedded systems and sensors, measuring the impact through an instrument that was designed to measure the first four levels of algebraization categorized in the ontosemiotic approach. A quasi-experiment is implemented by analyzing the data obtained by the control and experimental groups in the pretest and post-test, obtaining as a statistical result, the positive influence of the didactic proposal in levels 1, 2, and 4 of algebrization.