O cálculo de volume dos sólidos geométricos através do princípio de Cavalieri: uma abordagem inspirada na teoria de Van Hiele

Abstract

This paper presents the results of a qualitative investigation, which aimed at reporting a practice during mathematics classes with the third-grade high school students at the Promove School, a private institution in the city of Bom Jesus da Lapa, Bahia. The objective was to investigate how the students learn about the geometric solids volume calculation through the Cavalieri’s principle. The objective was to investigate how students learn the volume of geometric solids through the Cavalieri's principle, guided by the teacher-researcher, who is also a facilitator in this process, creating methodological alternatives Based on the theory of geometric thinking development by Van Hiele. Through the investigation, it was possible to expand the possibilities of learning the calculation of volume of geometric solids using Cavalieri's principle: an approach influenced by Van Hiele's theory, as long as the teacher plans it effectively, ensuring that the students understand the objectives intended to be achieved through the activity.