Exploration of the Sierpinski Triangle with GeoGebra

Abstract

In this paper, the authors explore using fractals in the classroom to teach more complex ideas. In GeoGebra, the Sierpinski triangle is created using a combination of the midpoint and polygon tools. Once created, the triangle can be used to explore the concept of limits by looking at the decreasing area of the figure. Learners can then engage in open inquiry to find a pattern that describes the decreasing area. After the pattern is found, learners can use the sequence function to summarize their results. The variety of functions in GeoGebra allow fractals to be used in a meaningful way in a high school classroom or any setting in which people are willing to learn and inquire.