A CONSTRUÇÃO DO CONCEITO DE VOLUME NA PERSPECTIVA DA ATIVIDADE DESENVOLVIMENTAL DE DAVYDOV

Abstract

This work presents a didactic proposal for teaching the concept of volume, based on V. V. Davydov’s developmental teaching theory, in conjunction with the principles of Vygotsky’s historical-cultural theory and Leontiev’s activity theory. The proposal aims to guide the student through a learning path that begins with the empirical perception of space occupation and advances to the theoretical construction of the volume concept, understood as a relationship between the base area and the height of a solid. This relationship is treated as the conceptual core of volume, from which it becomes possible to deduce, in a well-founded manner, the different formulas applicable to geometric solids. The methodology consists of designing a didactic sequence oriented by the study activity, starting from a real situation and developing through actions of analysis, modeling, and abstraction, using visual resources supported by GeoGebra software to aid the comprehension and generalization of the conceptual core. Although it has not been applied, the proposal is theoretically analyzed regarding its coherence with the foundations of developmental teaching theory and its pedagogical potential. It is expected that this work will contribute subsidies for more conscious pedagogical practices in mathematics teaching, especially concerning the construction of geometric concepts.