Control visual en la construcción del área de superficies planas en los textos escolares. Una metodología de análisis

Abstract

To construct the concept of plane surfaces area, textbooks propose activities in which some information about how to see the figures is provided. The elements and strategies showed by the books, that favor some types of visualization above others, must be characterized and the types of visual control commanding must be analyzed. The model of analysis presented here includes an adaptation of the theoretical model exposed by Duval (1995, 2003, 2005), about the visualization associated with geometrical figures, and the notion of control structure from Balacheff and Gaudin (2010), about the existence of some elements that guide the ways students use to proceed when they are confronted with mathematical activities.