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Connecting and Integrating Theoretical Frames: The TELMA Contribution

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Abstract

This paper presents the methodology developed within TELMA for connecting and integrating the theoretical frames used by the different teams for studying the design and use of interactive learning environments in mathematics education. Two case studies are then analysed and compared in order to illustrate the methodology and the results it can lead to. The papers ends by a more general discussion about the outcomes of the experimental work developed within TELMA and the perspectives it offers for approaching theoretical fragmentation.

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Notes

  1. Other agents can be the other students, the teacher, tutors as well as virtual agents such as the companions implemented in some ICT tools.

  2. The detailed analysis of the whole cross-experimentation process is accessible on the TELMA website and specific results on the role played by theoretical frameworks can be found in Artigue et al. (2007) and Cerulli et al. (2008).

  3. Claire Cazes, Jean-Philippe Georget, Mariam Haspekian, Fabrice Vandebrouck.

  4. The reader not familiar with these theories will find good introductions accessible on line in (Warfield 2006) for the theory of didactical situations, and (Bosch and Gascón 2006) for the anthropological theory of didactics. For the instrumental approach see for example (Artigue 2002).

  5. Especially, criteria such as utilisability, utility and acceptability (Tricot et al. 2003).

  6. Note that the Abacus microworld offers the possibility to mark the balls to be subtracted with a sign, but DIDIREM researchers were not familiar enough with Ari-Lab and did not know this possibility.

  7. Michele Cerulli, Bettina Pedemonte and Elisabetta Robotti conducted the experiment, while Rosa Maria Bottino conducted the final interview.

  8. We are not claiming that such concerns cannot be related to or operationalized in any theoretical frameworks. We simply stress that this was not the case for ITD experiment.

  9. Information regarding this project and associated publications are accessible at the following url: http://remath.cti.gr.

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Authors and Affiliations

  1. University Paris 7, Paris, France

    Michèle Artigue & Mariam Haspekian

  2. Institute of Educational Technology, C.N.R. of Genoa, Genoa, Italy

    Michele Cerulli

  3. University of Siena, Siena, Italy

    Mirko Maracci

Authors
  1. Michèle Artigue
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  2. Michele Cerulli
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  3. Mariam Haspekian
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  4. Mirko Maracci
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Correspondence to Michele Cerulli.

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Artigue, M., Cerulli, M., Haspekian, M. et al. Connecting and Integrating Theoretical Frames: The TELMA Contribution. Int J Comput Math Learning 14, 217–240 (2009). https://doi.org/10.1007/s10758-009-9157-7

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