Abstract
In this paper we describe a framework for user modeling in multi-language and mathematics learning. The basic idea of the proposed framework is to create student models in order to assist students in the simultaneous learning of multiple languages or mathematics. The system constructs an individual model for each student, which holds information about his/her knowledge level and the error proneness in the curriculum being taught. This framework is used to support each student while studying the theoretical section and getting evaluated. Furthermore, we describe the error diagnosis component, which tries to intelligently elicit information about the reason of a student error and builds accurately his/her individual profile. The tutoring component incorporates the order of teaching a curriculum or how to offer hints during problem solving. Finally, user modeling uses information which emanates directly from students and operates in conjunction with error diagnosis and tutoring components in order to promote the educational process.
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