CONEXIONES MATEMÁTICAS ASOCIADAS A LAS ECUACIONES DIFERENCIALES ORDINARIAS DE PRIMER ORDEN.

This paper shows the mathematical connections that university students make when solving tasks involving first-order Ordinary Differential Equations. We consider mathematical connections as a process by which a person relates one or more ideas, concepts, representations, theorems, or meanings to each other, to those in other disciplines or to real-life situations. For data collection, task-based interviews were used, which were analyzed with the Thematic Analysis method. The results indicate the use of seven types of mathematical connections: different representations, procedural, meaning, characteristic, part-whole, implication and reversibility. However, it was observed that a high academic performance is not an indicator that the connections emerge adequately in the resolution of tasks. [ABSTRACT FROM AUTHOR]