Impressão 3D como uma metodologia no ensino de quádricas: relato de experiência.

Abstract

Quadrics are components of calculus courses' syllabi, and their equations can pose difficulties due to visualizing surfaces in three dimensions. Moreover, they represent a deepening of algebraic manipulations where students transition from the flat Cartesian plane to interpretations of parametric equations for representing quadrics in three-dimensional space. This article provides a brief historical overview of conics and quadrics, discussing the challenges that can arise in the didactic aspect of this branch of mathematics. We employ the methodology of experiential reporting to describe the construction of a hyperbolic paraboloid through 3D printing, from its planning to completion. We detail the difficulties and discoveries encountered throughout the printing process and subsequently propose a reflection on the didactic possibilities of this piece. Therefore, 3D printing of quadrics can be a means of constructing three-dimensional pieces that allow for the visualization of the physical form of quadrics. Adjusting parameters can offer an opportunity for activities involving the construction of these pieces.