Skip to main content
Log in

Studies on educational reconstruction of chaos theory

  • Published:
Research in Science Education Aims and scope Submit manuscript

Abstract

The studies presented here comprise a project on the educational significance of chaos theory. Or to put it in a nutshell, we attempt to analyse critically whether the core ideas of chaos theory (as, for instance, limited predictability of chaotic systems despite deterministic laws governing them) are worth teaching and learning and furthermore we follow up the question of accessibility of these ideas for students. Subject matter structure clarification (i.e., construction of the mentioned key ideas) analyses of educational significance on the basis of widely accepted aims of teaching science, empirical studies on students' learning processes, and finally, development and evaluation of pilot instructional modules are closely interrelated. To put it into our terminology, the studies are embedded in a Model of Educational Reconstruction which may be seen as an approach to curriculum development that, on the one hand, takes into account the major insights provided by the constructivist view of the past two decades resting, on the other hand, on the tradition of German pedagogical theories on framing educational issues.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Adams, H. M., & Russ, J. C. (1992). Exposing gifted elementary school children to chaos and fractals.Journal of Science Education and Technology, 1, 191–209.

    Article  Google Scholar 

  • Baalmann, W., Frerichs, V., & Illner, R. (1996, November).Educational reconstruction-examples in the field of genetics and evolution. Paper presented at the first meeting of the European Researchers in Didaktik of Biology (ERIDOB), Kiel, Germany.

  • Brown, A. L. (1992). Design experiments: Theoretical and methodological challenges in creating complex interventions in classroom settings.The Journal of the Learning Sciences, 2, 141–178.

    Article  Google Scholar 

  • Charón, R., Batres, Y., & Cuadros, F. (1992). Teaching deterministic chaos through music.Physics Education, 27, 151–154.

    Article  Google Scholar 

  • Cornilsen, C. (1993).Das magnetpendel als weg zum verständnis von grundideen der chaostheorie [The magnetic pendulum as guide towards understanding core ideas of chaos theory]. Unpublished masters thesis in Physics Education, IPN (Institute for Science Education), University of Kiel, Kiel, Germany.

    Google Scholar 

  • Duit, R. (1994, September).Conceptual change approaches in science education. Paper presented at the Symposium on Conceptual Change at the University of Jena, Germany.

  • Duit, R., & Komorek, M. (in press). Understanding the basic ideas of chaos-theory in a study of limited predictability.International Journal of Science Education.

  • Duit, R., & Treagust, D. (in press). Learning in science: From behaviourism towards social constructivism and beyond. In B. Fraser & K. Tobin (Eds.),International handbook of science education. Dodrecht, The Netherlands: Kluwer.

  • Duit, R., Roth, W. M., Komorek, M., & Wilbers, J. Fostering conceptual change by analogies: Between Scylla and Charybdis.Learning and Instruction. (Submitted)

  • Gentner, D., & Landers, R. (1985, November).Analogical reminding: A good match is hard to find. Paper presented at the International Conference on Systems, Man and Cybernetics, Tucson, Arizona.

  • Gleick, J. (1988). Chaos, making a new science.American Journal of Physics, 56, 1053–1054.

    Article  Google Scholar 

  • Gropengiesser, H. (1996, November).Educational reconstruction of vision. Paper presented at the first meeting of the European Researchers in Didaktik of Biology (ERIDOB), Kiel, Germany.

  • Heimann, P., Otto, G. & Schulz, W. (1969).Unterricht, analyse und planung [Instruction: Analysis and planning] (4th ed.). Hannover, Germany: Schroedel.

    Google Scholar 

  • Hennessy, S. (1993). Situated cognition and cognitive apprenticeship: Implications for classroom learning.Studies in Science Education, 22, 1–41.

    Google Scholar 

  • Hopmann, S., & Riquarts, K. (Eds.). (1995).Didaktik and/or curriculum. Kiel, Germany: IPN (Institute for Science Education), University of Kiel.

    Google Scholar 

  • Kattmann, U., Duit, R., Gropengiesser, H., & Komorek, M. (1996, April).Educational reconstruction-bringing together issues of scientific clarification and students' conceptions. Paper presented at the annual meeting of the National Association of Research in Science Teaching, St. Louis, MO.

  • Katu, N., Lunetta, V. N., & van den Berg, E. (1993).Teaching experiment methodology. Paper presented at the Third International Seminar on Misconceptions and Educational Strategies in Science and Mathematics, Ithaca, NY.

  • Klafki, W. (1969). Didaktische analyse als kern der unterrichtsvorbereitung [Educational analysis as the kernel of planning instruction]. In H. Roth, & A. Blumental (Eds.),Auswahl, didaktische analyse (10th ed.) (pp. 5–34). Hannover, Germany: Schroedel.

    Google Scholar 

  • Komorek, M. (1996).Bibliographie zur chaostheorie [Bibliography on chaos theory]. Kiel, Germany: IPN (Institute for Science Education), University of Kiel.

    Google Scholar 

  • Komorek, M. (1997).Elementarisierung und lernprozesse im bereich des deterministischen chaos [Elementarization and learning processes in the domain of deterministic chaos]. Unpublished PhD thesis, IPN (Institute for Science Education) at the University of Kiel, Kiel, Germany.

    Google Scholar 

  • Komorek, M., & Duit, R. (1993, April).Learning process studies in the field of deterministic chaos. Paper presented at the annual meeting of the National Association of Research in Science Teaching, Atlanta, GA.

  • Komorek, M., & Duit, R. (1996, April).Conceptual change or conceptual growth: Students' pathways towards understanding limited predictability of chaotic systems. Paper presented at the annual meeting of the National Association of Research in Science Teaching, St. Louis, MO.

  • Lijnse, P. (1995). “Developmental research” as a way to an empirically based “didactical structure” of science.Science Education, 79, 189–199.

    Google Scholar 

  • Pfundt, H., & Duit, R. (1994).Bibliography: Students' alternative frameworks and science education (4th ed.). Kiel, Germany: IPN (Institute for Science Education) at the University of Kiel.

    Google Scholar 

  • Pippard, A. B. (1985).Response and stability: An introduction to the physical theory. Cambridge, Mass.: Cambridge University Press.

    Google Scholar 

  • Roth, W.-M. (1995).Authentic school science: Knowing and learning in open-inquiry laboratories. Dordrecht, The Netherlands: Kluwer.

    Google Scholar 

  • Roth, W.-M. (1996). The co-evolution of situated language and physics knowing.Journal of Science Education and Technology, 3, 171–191.

    Article  Google Scholar 

  • Roth, W.-M., & Duit, R. Knowing and learning in real time: Towards an understanding of student-centered science activities. (Submitted)

  • Schuster, H.-G. (1992).Deterministic chaos. Weinheim, Germany: Physik Verlag.

    Google Scholar 

  • Steffe, L., & D'Ambrosio, B. (1996). Using teaching experiments to understand students' mathematics. In D. Treagust, R. Duit, & B. Fraser (Eds.),Improving teaching and learning in science and mathematics (pp. 65–76). New York: Teacher College Press.

    Google Scholar 

  • Steffe, L. P. (1983). The teaching experiment methodology in a constructivist research program. In M. Zweng, T. Green, J. Kilpatrick, H. Pollak, & M. Suydam (Eds.),Proceedings of the Fourth International Congress on Mathematical Education (pp. 469–471). Boston, MA: Birkhäuser.

    Google Scholar 

  • Stewart, I. (1989).Does god play dice?—The mathematics of chaos. Cambridge: Basil Blackwell.

    Google Scholar 

  • Thomas, R. (1997).MagPen: Ein simulationsprogramm zum chaotischen magnetpendel [MagPen: a program to simulate the behavior of a chaotic magnetic pendulum]. Unpublished masters thesis in Physics Education, IPN (Institute for Science Education), University of Kiel, Kiel, Germany.

    Google Scholar 

  • Worg, R. (1993).Deterministisches chaos [Deterministic chaos]. Mannheim, Germany: Bibliographisches Institut.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Reinders Duit.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Duit, R., Komorek, M. & Wilbers, J. Studies on educational reconstruction of chaos theory. Research in Science Education 27, 339–357 (1997). https://doi.org/10.1007/BF02461758

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02461758

Keywords

Navigation