Cálculo de volume de monumentos a partir de integrais definidas para alunos do ensino médio com apoio do software geogebra

Abstract

Spatial Geometry is a currently applied content on the high school curriculum in most high schools in Brazil. Proposing a different way to calculate volumes from Definite Integrals is giving students one more tool to solve the questions. Didactics of Problem Solving and Mathematical Modeling are excellent ways to stimulate students to learn, think and develop critical sense, as well as to apply their Definite Integral knowledge when calculating volumes, being able to turn the common learning much more meaningful. Allied to GeoGebra, a Dynamic Geometry software that enables geometric, algebraic and graphic visualization of functions, Problem Solving and Mathematical Modeling can effectively foster students learning. In this present work, activities performed with the students involving calculus of monument’s volumes using definite integrals are presented.