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Abstract : We present a student's modelling process in algebra which consists of 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 a lattice of conceptions built for modelling students more globally. Conceptions are attributed to students according to a mechanism using the local diagnoses as input. This modelling process has been applied off-line to data gathered in France and Brazil with 13-16 years old students who used the Aplusix learning environment. The results are described and discussed. The process will be included later inside Aplusix in order to model students on-line and to provide the students' conceptions to the teachers.
https://telearn.archives-ouvertes.fr/hal-00190223
Contributor : Jerome Zeiliger
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Submitted on : Friday, November 23, 2007 - 8:37:43 AM
Last modification on : Wednesday, September 18, 2019 - 1:31:18 AM
Long-term archiving on : Monday, April 12, 2010 - 3:46:19 AM
Jean-François Nicaud, Denis Bouhineau, Hamid Chaachoua, Marilena Bittar. Student's modelling with a lattice of conceptions in the domain of linear equations and inequations. AI-ED, 2005, Amsterdam, Netherlands. ⟨hal-00190223⟩
