Abstract: The goal of this paper is to describe how the use of modeling in a differential
equations course contributes to foster a change in students’ understanding of first order
differential equation and solution set. The design and results of a research experience
based on APOS theory are presented. The focus of the paper is the description of those
results related with the use of different representations and others that seem to play an
important role in the changes observed in students’ understanding.
Keywords: modeling, differential equations, APOS theory, representations, understanding.