프랙탈과 무한수열에 관한 연구

Abstract

Fractal geometry has been included in the Seventh National MathematicsCurriculum of Korea as it can provide better mathematical descriptions of natural phenomena than traditional Euclidean geometry. Utilizing the self-similarity property of fractals, students can set up equations of infinite steps from the rules found in finite level and estimate answers. This paper analyzes the effectiveness of adopting fractal geometry in teaching infinite sequences, a topic which students find especially difficult, using the teaching material that explains the characteristics of fractals and the relationship between fractals and infinite sequences. More than half of the students who found infinite sequences very difficult to understand answered that learning infinite sequences with fractal geometry was more interesting and easier than the previous teaching method.