Teoria dos Registros de Representação Semiótica e Diversidade Representacional para o ensino de derivada de uma função: um mapeamento sistematizado de produtos educacionais

Abstract

This study investigates how the Theory of Registers of Semiotic Representation and Multiple Representations have been mobilized in the teaching of derivatives in Educational Products of Professional Graduate Programs at the national level. Based on a Systematized Literature Mapping, a search was conducted in the BDTD/IBICT and in the CAPES Theses and Dissertations catalog, with descriptors related to the aforementioned assumptions applied to the Calculus/derivatives, according to the explicit criteria of inclusion and exclusion of studies, for the identification of the Educational Products linked to the theses and/or dissertations. Of the four products that constituted the corpus of the research, three were didactic/instructional material (PTT1) and one software/application (PTT4). All of them were based on the Theory of Registers of Semiotic Representation, in different degrees, with a predominance of the algebraic register articulated with graphic, numerical and natural language registers. No product formally assumed the reference of Multiple Representations, nor did it integrate both assumptions in a combined way. It is concluded that there is still a gap in the systematic articulation between the Theory of Registers of Semiotic Representation and Multiple Representations in the teaching of derivatives and that there is a typological concentration of the products, which indicates an opportunity to develop and evaluate hybrid proposals that promote effective coordination between registers and expand the diversity of formats.