As aplicações da geometria fractal no ensino médio: a progressão geométrica no triângulo de Sierpinski

Abstract

This work aims to present a branch of Mathematics, Fractal Geometry. GeoGebra software is presented in which we can construct and visualize fractals better, showing by another angle concepts of Geometry, presenting a new teaching proposal. The proposed activities were applied to students who attend the 2º year of high school. Throughout the text there are reports about how the activities of the classroom took place and what goals were achieved. It also has a historical survey on the subject as we briefly present the definitions, main characteristics, followed by examples about their applications in some areas. The geometry of fractals presents great beauty and complexity, linked to the forms of nature, are geometric forms of fractional dimensions. Showing that this area is able to fascinate students and arouse their curiosity and interest by observing an order amid objects with random shapes that can be noticed around us.