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Published in:
2020 | OriginalPaper | Chapter
Designing Anticipation Activity of Students When Studying Holomorphic Dynamics Relying on Information Technologies
Authors : Valeriy Sekovanov, Vladimir Ivkov, Aleksey Piguzov, Yelena Seleznyova
Published in: Modern Information Technology and IT Education
Publisher: Springer International Publishing
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Abstract
In this paper, we consider the design of anticipatory activities aimed at development of students creativity at a higher education institution when studying holomorphic dynamics. Interpretation of anticipation as an ability to put forward hypotheses, that are subject to verification by means of analytical methods, has been specified. The connection between Mandelbrot set and the accompanying Julia sets has been noted. Using information and communication technologies, students put forward hypotheses related to Julia sets’ visualisation, and then use the analytical methods to identify the main frames of these sets. First, special cases are considered, then the obtained results are generalised. By analogy, other tasks are formed and their solutions are analysed. In our opinion, this approach makes it possible to organise students’ creative mathematical activity, develops their intuition, flexibility and critical thinking.