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- Completion of a multi-stage mathematical-informational task “Cycles, Julia sets and Lo-Fatu petals” as a means of developing students' creativity
- Completion of a multi-stage mathematical-informational task “Cycles, Julia sets and Lo-Fatou petals” as a means of developing students' creativity. Vestnik of Kostroma State University. Series: Pedagogy. Psychology. Sociokinetics, 2025, vol. 31, no. 1, pp. 123-131 (In Russ.). https://doi.org/10.34216/2073-1426-2024-31-1-123-131
- DOI: https://doi.org/10.34216/2073-1426-2025-31-1-123-131
- УДК: 51
- EDN: PQJDAA
- Publish date: 2025-03-01
- Annotation: In this article, cycles, Julia sets and Lo-Fatou petals are considered within the framework of a multi-stage mathematical and information task. The study of these sets is associated with both the use of mathematical methods and the application of information and communication technologies, which creates favorable conditions for the development of students' creativity. Information and communication technologies include computer programs with the help of which Julia sets and Lo-Fatou petals are constructed for second-degree polynomials.
- Keywords: creativity, creation, algorithm, filling Julia set, cycle, Lo-Fatou petal, orbit of a point, fixed point, structure of fixed points, neutral-rational fixed point, parabolic fixed point, neutral-irrational fixed point, attractive fixed point, repulsive fixed point.
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