Abstract

MARMOLEJO, Gustavo-Adolfo  and  GONZALEZ ASTUDILLO, María Teresa. Visual control in the construction of the area of two-dimensional plane figures, in textbooks. An analysis methodology. Relime [online]. 2015, vol.18, n.3, pp.301-328. ISSN 2007-6819.  https://doi.org/10.12802/relime.13.1831.

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.

Keywords : Visualization; Visual control structure; Textbooks; Plane surfaces area.