El software libre GeoGebra en la resolución de sistema de ecuaciones lineales

Abstract

This work proposes the implementation of the free software GeoGebra as a pedagogical tool for the solution of systems of linear equations in high school students of the “Manuel Álvarez Méndez” Educational Unit. Its main objective is to improve the understanding and academic performance of students in the field of linear algebra, through the use of technological tools that combine graphical and algebraic methods for solving equations. GeoGebra is a dynamic and interactive software that presents abstract concepts in a concrete way. The methodology applied had a pre-experimental design working with a single group of 38 students, with a qualitative-quantitative approach. The data collected in the research were obtained through the survey technique, using a structured questionnaire as an instrument. This was applied before (pre-test) and after (post-test) the didactic sessions, in order to identify changes and compare the results related to the level of knowledge about linear equations. Statistical analysis was performed with SPSS software and the Wilcoxon test was used to validate the hypotheses. The analysis of the pre-test data reveals that 61% are in the category “Is close to achieving (PA)” which indicates that they have not yet reached a complete mastery of the learning and 34% reached the category “Achieves the learning (AA)” reflecting satisfactory performance. After the implementation of GeoGebra, the post-test analysis shows a significant improvement in performance levels, 42% of the students reached the category “Mastered the learning (DA)” indicating a complete mastery of the learning, reflecting satisfactory performance. These results demonstrate the effectiveness of GeoGebra as a pedagogical tool to improve students' academic performance and understanding of linear algebra.