Aplicações da geometria fractal: uma proposta didática para o Ensino Médio

Abstract

The general objective of this dissertation is to propose the implementation of activities involving the fractal geometry for high school students. It mainly consists of workshops to be held from the division of classes into groups in order to streamline activities and stimulate collective creation. After conceptualizing fractals, presenting their history and the classics and experimental examples consecrated, were prepared four workshops totaling twelve activities in which the students, divided into groups may use geometric skills (mostly), algebraic, arithmetic and trigonometric for understanding of the properties of fractal geometry. It is proposed to teaching the introduction of the limit of ideas and recurrence, closely linked to fractals and assist in solving the problems. The choice of the theme of the intention to boost basic education mathematics teaching, showing that this discipline is present in everyday life, in nature, and, moreover, that the mathematical knowledge it is not a knowledge completed or finished, but with large subareas expanding and to expand.