An investigation of the Bivariate Complex Fibonacci Polynomials supported in Didactic Engineering: an application of Theory of Didactics Situations (TSD)

A research cut will be presented in the Academic Master of the Programa de Pós-Graduação em Ensino de Ciências e Matemática (PGECM) of the Instituto Federal de Educação, Ciência e Tecnologia do Ceará (IFCE). This research used Didactic Engineering with a focus on the Theory of Didactic Situations, evidencing epistemological, cognitive and didactic elements articulated among themselves. This made it possible to mobilize the student's intuitive thinking towards inferential reasoning during the study of the Bivariate Complex Fibonacci Polynomials. Moreover, it had the purpose of inserting an epistemological conception in the teaching of History of Mathematics, considering that the research was applied in the course of Degree in Mathematics in the discipline of History of Mathematics.