Números complexos para o ensino médio: uma abordagem com história, conceitos básicos e aplicações.

Abstract

In this work we propose a problem-solving approach to teaching Complex Numbers. Our aim is to create a material with direct application in the mathematics classroom in Secondary school, to contribute to enrich the teaching of Complex Numbers. We reconstructed partially their history leading the reader to feel the real reasons why mathematicians of that time discovered such numbers. We present some problems involving basic concepts that are solved by using Complex Numbers. These problems are related to Algebra, Plane Geometry, Trigonometry, Arithmetic and Series.