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L-System Fractals as Geometric Patterns: A Case Study

  • Anna AlfieriEmail author
Chapter
Part of the Advances in Mathematics Education book series (AME)

Abstract

Digital technologies are impacting all aspects of personal, social and professional life by now, spreading out at an incredible speed. We should take into account all these changes in the teaching and learning processes of mathematics, implying new challenges and responsibilities. In this paper, the role of technology in a mathematics education activity is analysed into two aspects: in terms of its operational features for presenting mathematical content, to research for information on the web, to work in an e-learning environment with students, and then for enhancing cognitive learning processes in the student, through the digital manipulation of geometric objects. The context is the L-system fractal theory.

Keywords

L-system fractals Technology Education 

References

  1. Artigue, M. (2013). Teaching mathematics in the digital era: Challenges and perspectives. In Y. Balwin (Ed.), Proceedings of 6th HTEM (pp. 1–20). São Carlos: Universidade Federal.Google Scholar
  2. Arzarello, F., Ciarrapico, L., Camizzi, L., & Mosa, E. (2006). Progetto m@t.abel: Matematica. Apprendimenti di base con e-learning. http://archivio.pubblica.istruzione.it/docenti/allegati/apprendimenti_base_matematica.pdf. Accessed 4 May 2016.
  3. Barnsley, M. (1993). Fractals everywhere. San Francisco: Morgan Kaufmann.Google Scholar
  4. Brandi, P., & Salvadori, A. (2004). Modelli matematici elementari. Milan: Bruno Mondadori.Google Scholar
  5. Despotović-Zrakić, M., Simić, K., Labus, A., Milić, A., & Jovanić, B. (2013). Scaffolding environment for adaptive e-learning through cloud computing. Educational Technology & Society, 16(3), 301–314.Google Scholar
  6. Dodge, B. (2001). Five rules for writing a great webquest. Learning & Leading with Technology, 28(8), 6–9.Google Scholar
  7. Dörfler, W. (1993). Computer use and the views of the mind. In C. Keitel & K. Ruthven (Eds.), Learning from computers: Mathematics education and technology (pp. 159–186). Berlin: Springer.CrossRefGoogle Scholar
  8. Drijvers, P. (2012). Digital technology in mathematics education: Why it works (or doesn’t). Paper presented at ICME-12, 8–15 July, Seoul.Google Scholar
  9. Duval, R. (2000). Basic issues for research in mathematics education. In T. Nakahara & M. Koyama (Eds.), Proceedings of PME 24 (Vol. 1, pp. 55–69). Hiroshima: PME.Google Scholar
  10. Edgar, G. (2008). Measure, topology, and fractal geometry. New York: Springer.CrossRefGoogle Scholar
  11. Fuglestad, A. B. (2007). Teaching and teachers’ competence with ICT in mathematics in a community of inquiry. In Proceedings of PME 31 (Vol. 2, pp. 249–258). Seoul: PME.Google Scholar
  12. Gowers, T. (2004). Matematica: Un’introduzione. Turin: Einaudi.Google Scholar
  13. Katz, R. (Ed.). (2009). The tower and the cloud: Higher education in the age of cloud computing. Boulder: Educause.Google Scholar
  14. Mandelbrot, B. B. (1977). The fractal geometry of nature. New York: W.H. Freeman.Google Scholar
  15. NCTM (2011). Technology in teaching and learning mathematics: A position of the NCTM. http://www.nctm.org/about/content.aspx?id=31734. Accessed 28 Oct 2014.
  16. Pea, R. D. (1987). Cognitive technologies for mathematics education. In A. Schoenfeld (Ed.), Cognitive science and mathematics education (pp. 89–122). Hillsdale: Lawrence Erlbaum.Google Scholar
  17. Prusinkiewicz, P. (1999). A look at the visual modeling of plants using L-systems. Agronomie, 19(3–4), 211–224.CrossRefGoogle Scholar
  18. Prusinkiewicz, P., & Lindenmayer, A. (1990). The algorithmic beauty of plants. New York: Springer.CrossRefGoogle Scholar
  19. Railean, E. (2012). Google apps for education: A powerful solution for global scientific classrooms with learner centred environment. International Journal of Computer Science Research and Application, 2(2), 19–27.CrossRefGoogle Scholar
  20. Steen, L. A. (1990). On the shoulders of giants: New approaches to numeracy. Washington, DC: National Academy.Google Scholar
  21. Wenger, E. (2000). Communities of practice and social learning systems. Organization, 7(2), 225–246.CrossRefGoogle Scholar
  22. Wood, R., & Ashfield, J. (2007). The use of the interactive whiteboard for creative teaching and learning in literacy and mathematics: A case study. British Journal of Educational Technology, 39(1), 84–96.Google Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Liceo Scientifico “L. Siciliani”CatanzaroItaly

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