This article is the result of research on teaching mathematics that focused on the study of planes, cylinders and quadrics. The methodology included the parameters of didactics and explored visualization capabilities. The didactic sequence joins theory and practice, emphasizing graphing, using cross-sections and level curves, with the objective of allowing the student to draw graphs with pencil and paper as well as the software Winplot. The study was carried out with first-year university mathematics students. The qualitative analysis of the results showed how students performed the graphical representations, their thoughts, issues and results, and also pointed to significant improvement in students' attitudes, as they became more active in the learning process. It was observed that the relationship between the equation (algebra) and figure (geometry) promoted an integrated approach between algebra and geometry, which is the focus of analytic geometry.
Mathematics Education; Teaching Sequences of Activities; Plans; Cylinders; Quadrics
