Números complexos: aspectos teóricos geométricos e computacionais

Abstract

The teaching of complex numbers has a big importance in high school, but what we see historically is a strictly algebraic and formal application, meaningless, poorly understood by students and out of context. The goal of the present work is to propose a discussion about teaching and learning of Complex Numbers, exploring it’s geometry from theoretical and computational points of view. Along the way we will approach it with a historical basis, showing the impasses and limitations of mathematicians in each time for the acceptance of these numbers and evolution of their study. Also we treat the content in the geometric aspects in a dynamic way, which is adequate to facilitate and further assist the understanding. Supporting all the work is the use of computational resources that are currently an important tool in favor of mathematical knowledge construction process, as the visual displaying contributes greatly to this. Among them stands out the GeoGebra software that is affordable and easy to use. In addition to teaching resources we try to show the applications of Complex Numbers in other areas of knowledge, thus allowing more consistent teaching practices with the profile of students of modern society.