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An Analysis of Interactive Learning Environments for Arithmetic and Algebra Through an Integrative Perspective

Abstract : The analysis presented in this article tries to obtain a global view of the field of interactive learning environments (ILE) dedicated to arithmetic and algebra. As preliminaries, a brief overview of evaluation methods focusing on educational software is given and a short description of ten ILEs concerned by the study is provided as a kind of a state-of-the-art. Then the methodology of ILEs analysis developed in the TELMA project is explained consisting in the design and the refinement of an analysis grid and its use on the ten ILEs is mentioned. Next, a first level analysis of results leading to a compiled, analytic and synthetic view of the ILEs available and/or missing functionalities is given. A second level of the analysis is also proposed, with two concise representations of the ILEs, composed of graphical representations of the previous results, leading to a 3D map of ILEs dedicated to arithmetic and algebra. This map provides, as promised, a global view of the field and permits to define five sorts of ILEs according to two criteria: the first one is teacher-oriented and concerns usages enabled by the ILE; the second one is student-oriented and concerns control provided by the ILE to accomplish such usages.
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https://hal.inria.fr/hal-00948743
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Jana Trgalova, Denis Bouhineau, Jean-François Nicaud. An Analysis of Interactive Learning Environments for Arithmetic and Algebra Through an Integrative Perspective. International Journal of Computers for Mathematical Learning, Springer Verlag, 2009, 14 (3), pp.299-331. ⟨hal-00948743⟩

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