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Meet fractal curves with 1C:MathKit

https://doi.org/10.32517/0234-0453-2020-35-3-38-48

Abstract

The article presents a methodological approach to studying iterative processes in the school course of geometry, by the example of constructing a Koch snowflake fractal curve and calculating a few characteristics of it. The interactive creative environment 1C:MathKit is chosen to visualize the method discussed. By performing repetitive constructions and algebraic calculations using ICT tools, students acquire a steady skill of work with geometric objects of various levels of complexity, comprehend the possibilities of mathematical interpretation of iterative processes in practice, and learn how to understand the dialectical unity between finite and infinite parameters of flat geometric figures. When students are getting familiar with such contradictory concepts and categories, that replenishes their experience of worldview comprehension of the subject areas they study through the concept of “big ideas”. The latter allows them to take a fresh look at the processes in the world around. The article is a matter of interest to schoolteachers of computer science and mathematics, as well as university scholars who teach the course “Concepts of modern natural sciences”.

About the Author

O. M. Korchazhkina
The Federal Research Centre "Computer Science and Control" of the Russian Academy of Sciences
Russian Federation

Olga M. Korchazhkina, Candidate of Sciences (Engineering), Senior Research Fellow, Institute for Cybernetics and Informatics in Education

119333, Moscow, ul. Vavilova, 44, building 2



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Review

For citations:


Korchazhkina O.M. Meet fractal curves with 1C:MathKit. Informatics and education. 2020;(3):38-48. (In Russ.) https://doi.org/10.32517/0234-0453-2020-35-3-38-48

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ISSN 0234-0453 (Print)
ISSN 2658-7769 (Online)