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Summary:
The article begins by briefly answering the question of what a fractal is and provides reasons why fractals are worth exploring in education. Various methods of constructing fractals suitable for classroom use are then presented. Fractals can be easily integrated into the curriculum as early as upper primary school, either as part of a comprehensive course or as individual thematic units. Constructions are primarily created using GeoGebra, but also through traditional methods (pencil, paper) or other digital tools (PowerPoint, web applications). The conclusion demonstrates that the concept of fractal dimension can be accessible to high school students.
References:
[1] Choate, J., Devaney, R. L., Foster, A.: Fractals: A tool kit of dynamics activities. (1999). Key Curriculum Press.
[2] Divišová, B.: Fraktály a jak o nich učit. (2013). Učitel matematiky, 21(3), 144-158.
[3] Edgar, E.: Measure, topology, and fractal geometry. (2008). Springer. MR 2356043
[4] Falconer, K.: Fractal geometry: Mathematical foundations and applications. (2014). John Wiley & Sons. MR 3236784
[5] Lesmoir-Gordon, N., Rood, W., Edney, R.: Introducing: Fractal geometry. (2006). Icon Books.
[6] Linton, O.: Fraktály: Na hraně chaosu. (2021). Dokořán.
[7] Mandelbrot, B. B.: The fractal geometry of nature. (2022). Echo Point Books & Media. MR 0665254
[8] Peitgen, H., Jürgens, H., Saupe, D.: Chaos and fractals: New frontiers of science. (1992a). Springer-Verlag. MR 2031217
[9] Peitgen, H., Jürgens, H., Saupe, D.: Fractals for the classroom: Part one introduction to fractals and chaos. (1992b). Springer-Verlag. MR 1132883
[10] Peitgen, H., Jürgens, H., Saupe, D., Maletsky, E., Perciante, T., Yunker, L.: Fractals for the classroom: Strategic activities volume one. (1993). Springer-Verlag. MR 1165945
[11] Ventrella, J.: The family tree of fractal curves: A taxonomy of plane-filling curves using complex integer lattices. (2019). Eyebrain Books.
[12] Zelinka, I., Včelař, F., Čandík, M.: Fraktální geometrie: principy a aplikace. (2006). BEN - technická literatura.
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