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Abstract

In teaching mathematics, it is often assumed that new ideas about numbers will smoothly follow from prior ones. Therefore, teaching strategies aim at the enrichment of students’ prior knowledge about numbers. However, learning difficulties in the area suggest that, in certain cases, reorganisation of prior knowledge is required. Following the conceptual change paradigm we describe a CSCL environment designed to develop a deeper understanding of the structure of the set of rational numbers.

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References

  • Vosniadou, S., Kollias, V.P., Vlassa, M., Mamalougos, N.G. (2000) “Analysing Socio-Cognitive Effects of Computer Supported Collaborative Learning”. A paper presented at the annual conference of the American Educational Research Association, New Orleans, April 24-28

    Google Scholar 

  • Kollias, V.P., Vlassa, M., Vosniadou, S. (2001). Design and evaluation of a CSCL environment for the learning of science, In P. Dillenbourg, A. Eurelings, K. Hakkarainen (Eds), Proceedings of the first European conference on computer-supported collaborative learning: European Perspectives on Computer-Supported Collaborative Learning, Universiteit Maastricht, March 22-24

    Google Scholar 

  • Vamvakoussi, X. (2001). Conceptual Change in Mathematics: From Natural to Rational Numbers. Poster presented at the 9th EARLI Conference, Fribourg, Switzerland

    Google Scholar 

  • Vamvakoussi, X. & Vosniadou, S. (2002). Conceptual Change in Mathematics: From the Set of Natural to the Set of Rational Numbers. Proceedings of the Third European Symposium on Conceptual Change, Turku, Finland

    Google Scholar 

  • Vamvakoussi, X. & Vosniadou, S. (2002). What mental models do students use regarding the structure of the domain of rational numbers? Proceedings of the 26th Conference of the International Group for the Psychology of Mathematics Education, Norwich, England.

    Google Scholar 

  • Vosniadou, S. (1994). Capturing and modelling the process of conceptual change. In S. Vosniadou (Guest Editor). Special Issue on Conceptual Change, Learning and Instruction, 4, 45–69.

    Article  Google Scholar 

  • Vosniadou, S., Kollias, V. (2001). Information and Communication Technology and the Problem of Teacher Training: Myths, Dreams and Harsh Reality, Themes in Education, 2:4, 341–365, 2001

    Google Scholar 

  • Vosniadou, S. (2002). How Children Learn, International Academy of Education

    Google Scholar 

  • Vosniadou, S. (2002). Exploring the relationships between conceptual change and intentional learning. In G.M. Sinatra and P.R. Pintrich (Eds.) Intentional conceptual change. Mahwah, NJ: Lawrence Erlbaum Associates.

    Google Scholar 

  • Vosniadou, S. and Kollias, V. (in press) Using Collaborative, Computer-Supported, Model Building to Promote Conceptual Change in Science, in E. De Corte, L. Verschaffel, N. Entwistel and J. Van Merrienboer (Eds.), Powerful learning environments: Unraveling basic components and dimensions, Advances in Learning and Instruction, Elsevier Press.

    Google Scholar 

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© 2003 Springer Science+Business Media New York

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Vamvakoussi, X., Kargiotakis, G., Kollias, V.P., Mamalougos, N.G., Vosniadou, S. (2003). Collaborative Modelling of Rational Numbers. In: Wasson, B., Ludvigsen, S., Hoppe, U. (eds) Designing for Change in Networked Learning Environments. Computer-Supported Collaborative Learning, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0195-2_14

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  • DOI: https://doi.org/10.1007/978-94-017-0195-2_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6321-2

  • Online ISBN: 978-94-017-0195-2

  • eBook Packages: Springer Book Archive

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