DGPad como medio para conceptualizar la relación entre los registros de representación algebraico y gráfico de la función cuadrática

Abstract

This degree work consists of the construction of the relationships between the graphic representation and the geometric representation of the quadratic functions, taking advantage of the potential of the DGPad software to promote the construction of mathematical knowledge through the interaction of students with mathematical objects represented in the computer screen. Our project is based on two different theoretical frameworks: Duval's theory on semiotic representations and Brousseau's Theory of Didactic Situations. The work includes the design and the a priori analysis of a-didactic situations for the learning of the relationships between the algebraic representations and the graphic representations of the quadratic function using DGPad as a means, as well as a pilot control on that design and analysis. The activities proposed in this paper intend for the student to experiment by making changes in one of the registers and observing the effect of those changes in the other, in order to later anticipate the effects of the change.