A distribuição do ensino dos números complexos nas séries do ensino médio: uma proposta na contramão do ensino tradicional

Abstract

This work aims to be a tool to add features that provide a teaching and learning process of Complex Numbers effective for secondary school students. Thus, this proposal is to dilute the study of this theme in the three years of secondary schoolrespecting the requirements of each year. In addition, to extend the vision of students regarding the various applications of Complexes Numbers and guide the teachers of their role in the construction of this knowledge are suggested: a form of introduction to the theme that uses the history of mathematics as a context object ; the geometric definition that assigns meaning to Complex Numbers; driven differentiated activities; moreover to bring an association of the Complex Numbers with Trigonometry - through demonstrations of basic trigonometric formulas and De Moivre formula. It should be noted that the main motivation of the proposals in this dissertation is to offer students the opportunity to develop an understanding of this subject in a timely manner so that students can glimpse the potential application of Complex Numbers not only in mathematics, but in similar sciences.