Between noesis and semiosis: Analytic Geometry in textbooks through the lens of Semiotic Representations

This paper investigates how analytical geometry is addressed in two collections of textbooks approved by the 2021 National Textbooks and Didatic Materials Program. The research is qualitative in nature and supported by the Teorema System. The analysis, based on the Theory of Registers of Semiotic Representation, shows a predominance of treatment and conversion activities, especially calculation and translation between registers. There is a scarce presence of training activities, which suggests a more instructive than exploratory approach. It is concluded that, although the materials mobilize multiple registers, there are limitations in the connections between them, which may restrict the development of broader semiotic skills by students.