Fuzzy logic representation for student modelling: case study on geometry

Authors:
Gagan Goel;Sébastien Lallé;Vanda Luengo
Affiliations:
Electronics and Communication Engineering Department, National Institute of Technology (NIT), Hamirpur, H.P., India;Laboratoire Informatique de Grenoble (LIG METAH), Université Joseph Fourier, Grenoble Cedex 9, France;Laboratoire Informatique de Grenoble (LIG METAH), Université Joseph Fourier, Grenoble Cedex 9, France
Venue:
ITS'12 Proceedings of the 11th international conference on Intelligent Tutoring Systems
Year:
2012

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Abstract

Our aim is to develop a Fuzzy Logic based student model which removes the arbitrary specification of precise numbers and facilitates the modelling at a higher level of abstraction. Fuzzy Logic involves the use of natural language in the form of If-Then statements to demonstrate knowledge of domain experts and hence generates decisions and facilitates human reasoning based on imprecise information coming from the student-computer interaction. Our case study is in geometry. In this paper, we propose a fuzzy logic representation for student modelling and compare it with the Additive Factor Model (AFM) algorithm implemented on DataShop. Two rule-based fuzzy inference systems have been developed that ultimately predict the degree of error a student makes in the next attempt to the problem. Results indicate the rule-based systems achieve levels of accuracy matching that of the AFM algorithm.