Abstract
We present a student’s modeling process in algebra. This work is situated in the framework of the deployment of the Aplusix system, a learning environment for algebra. The process has two phases. The first phase is a local diagnosis where a student’s transformation of an expression A into an expression B is diagnosed with a sequence of rewriting rules. A library of correct and incorrect rules has been built for that purpose. The second phase uses conceptions for modeling students more globally. Conceptions are attributed to students according to a mechanism using the local diagnoses as input. This modeling process has been applied to data (log files) gathered in France and Brazil with 13-16 years old students who used the Aplusix learning environment. The results are described and discussed.
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Artigue, M.: Epistémologie et didactique. Recherche en didactique des mathé-matique 10(2/3) (1991)
Balacheff, N., Gaudin, N.: Students conceptions: an introduction to a formal characterization. Cahier 65 du laboratoire Leibniz (2002), http://www-leibniz.imag.fr
Dillenbourg, P., Self, J.A.: A framework for learner modelling. Interactive Learning Environments 2(2), 111–137 (1992)
Dimitrova, V., Self, J.A., Brna, P.: Applying Interactive Open Learner Models to Learning Technical Terminology. In: Bauer, M., Gmytrasiewicz, P.J., Vassileva, J. (eds.) UM 2001. LNCS (LNAI), vol. 2109, pp. 148–157. Springer, Heidelberg (2001)
Koedinger, K.R., Anderson, J.R., Hadley, W.H., Mark, M.A.: Intelligent tutoring goes to school in the big city. International Journal of Artificial Intelligence in Education 8, 30–43 (1997)
Jean, S., Delozanne, E., Jacobini, P., Grugeon.: A diagnostic based on a qualitative model of competence in elementary algebra. In: AI-ED 1999, pp. 491–498. IOS Press, Amsterdam (1999)
Nicaud, J.F., Bouhineau, D., Chaachoua, H.: Mixing microworld and CAS features in building computer systems that help students to learn algebra. Int. Journal of Computers for Mathematical Learning 9(2) (2004)
Nicaud, J.F., Bittar, M., Chaachoua, H., Inamdar, P., Maffei, L.: Experiments of Aplusix in Four Countries. In: 7th International Conference on Technology in Mathematics Teaching, Bristol (2005)
Nicaud, et al.: Modélisation cognitive d’élèves en algèbre et construction de straté-gies d’enseignement dans un contexte technologique. Project report of the “Ecole et sciences cognitives” research programme. Cahier 123 du laboratoire Leibniz (2005), http://www-leibniz.imag.fr
Payne, S., Squibb, H.: Algebra Mal-Rules and Cognitive Accounts of Error. Cognitive Science 14 (1994)
Sleeman, D.H.: Inferring student model for intelligent aided instruction. In: Michalski, Carbonell, Mitchell (eds.) Machine Learning: An Artificial Intelligence Approach. Morgan Kaufman, San Francisco (1983)
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© 2006 Springer-Verlag Berlin Heidelberg
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Nicaud, JF., Chaachoua, H., Bittar, M. (2006). Automatic Calculation of Students’ Conceptions in Elementary Algebra from Aplusix Log Files. In: Ikeda, M., Ashley, K.D., Chan, TW. (eds) Intelligent Tutoring Systems. ITS 2006. Lecture Notes in Computer Science, vol 4053. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11774303_43
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DOI: https://doi.org/10.1007/11774303_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35159-7
Online ISBN: 978-3-540-35160-3
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