Study of the Visual Variables of the Elliptic Paraboloid and Their Representations Through Digital Technology

This paper aims at studying the visual variables of the elliptic paraboloid oriented at teachers training, a subsequent study based on one research done with architecture undergraduates as subjects. We are interested in reflecting on cognitive and perceptive aspects when treatments and conversions are done in graphic and algebraic representations of such surface by recognizing and interpreting elements from its own graphic representation, which are its visual variables. For this reason, we use an environment of dynamic representations such as GeoGebra, to show the representations of the elliptic paraboloid in different registers of semiotic representation, its visual variables and significant units, in order to finally reflect on the development of the apprehension of the graphic register when teachers training take on a task related to the paraboloid in a representational medium such as GeoGebra for their teaching work.