Mathematical Connections Associated with the Linear Equation Made by High School Students

This study aimed to identify the mathematical connections made by four Mexican students in the first semester of high school when they solved tasks that involved linear equations. This research is qualitative, specifically, it is a case study that uses mathematical connections as a conceptual framework. To collect the data, five tasks mediated by the GeoGebra software were applied and the moments in which some of the students' responses were socialized were videorecorded. These data were analyzed using thematic analysis. The results showed that the students made the extra -mathematical connection of modeling and the intra-mathematical connections of feature, meaning, different representations, and procedural, with the last two being the most frequent. Finally, it is stated that the use of the balance model, in tasks mediated by GeoGebra and that promote mathematical connections, contributes to students analyzing the relationship of equality when working with linear equations.