Associations between Analytical Geometry, Fractal Patterns and Computation:
Possibilities for Technical High School
DOI:
https://doi.org/10.5752/P.2316-9451.2022v10n2p57-75Keywords:
Registers of semiotic representations. Fractal geometry. Analytic geometry. Programming.Abstract
We present in this paper a proposal for integration between analytical geometry, fractal geometry and computer programming, developed from a scientific initiation project with high school students. The central idea lies in the challenge of representing some fractal patterns in algebraic and computational languages. We adopted the perspective of the theory on semiotic representations registers, due to Raymond Duval, that from the cognitive point of view, it establishes that coordination between different representation registers is fundamental for mathematical learning. Although several fractals have been studied, this paper deals only with the famous Koch curve.
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