Construindo o triângulo de Sierpinski e a curva de Koch no Geogebra: possibilidade de inserção da Geometria Fractal no 9º ano do Ensino Fundamental

Abstract

Check what contributions the construction of the Sierpinski triangle and the curve of Koch in Geogebra can bring to a learning of initial concepts of Fractal Geometry. Investigate what knowledge students have about Fractal Geometry;  Introduce concepts of self-similarity and infinite complexity;  Build the Sierpinski triangle and the Koch curve using the Geogebra software;  Explore the interrelationships between Euclidean geometry and Fractal Geometry in figure constructions;  Make students work collaboratively and interactively in the processes of construction of geometric figures and throughout all the proposed activities;  Check the opinions of students whether they liked the teaching of Fractal Geometry or not through digital technologies.