INTRODUZINDO O ESTUDO DE FUNÇÃO POLINOMIAL DO PRIMEIRO GRAU: UM OLHAR À LUZ DA TEORIA DOS REGISTROS DE REPRESENTAÇÃO SEMIÓTICA

Abstract

The present research analyzed the teaching process of the Polynomial Function of the first degree from the perspective of the Theory of Registers of Semiotic Representation, in a class of the 9th year of Elementary School of a federal school in the State of Pernambuco. To this end, two twinned audio classes were observed and recorded, which were later transcribed and analyzed the processing and conversion transformations, the graph construction procedure, the phenomenon of semantic congruence and heterogeneity in both directions of conversions. From the analysis, it was found that the teacher presented more than one type of semiotic representation for the polynomial function of the first degree, as well as, during the classes, treatment activities were carried out in the algebraic register and also conversions from algebraic representation to representation graphic, however, always mediated by the tabular representation. Thus, the approach used to construct the graph was point-to-point. With regard to the phenomenon of semantic congruence, only terminal semantic univocity was established as a criterion. Correspondence between the significant elements was not established, and the order in the organization of the significant units does not fit in the analyzes because the departure and arrival records have different dimensions.