SILVA, P. H. M.; http://lattes.cnpq.br/5093248775055275; SILVA, Pedro Henrique Moreno da.
Résumé:
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.