Registros Gráfico e Algébrico em Atividades sobre Funções Quadráticas: um estudo por meio do aplicativo Geogebra em smartphones

Abstract

This work brings results from an investigation which had as main objective investigating the resolutions by freshmen through quadratic function activities, involving the conversion between algebraic and graphic symbolic representation registers using the application GeoGebra on smartphones. For research development, the application of four blocks of activities on quadratic function were carried out, focused on the conversions between the algebraic and graphic records in a freshmen class of a public school in Paraná. To solve the activities, students were organized in ten doubles and a quartet, and two students chosen the individual solution. All the students used their own smartphones. The organization/ selection of activities and the analysis of students' written productions occurred in the light of Theory of Semiotic Representation Records by Raymond Duval. At the end of the analyzes, we concluded that the students were able to understand the relationship between each visual variable in the graph with its corresponding significant unit of algebraic expression, further the advance in written mathematical notations and productions observed during the resolution of activities.