Analysis of a simple model of problem solving times

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Authors

PELÁNEK Radek JARUŠEK Petr

Year of publication 2012
Type Article in Proceedings
Conference Proceeding ITS'12 Proceedings of the 11th international conference on Intelligent Tutoring Systems
MU Faculty or unit

Faculty of Informatics

Citation
Web http://www.fi.muni.cz/~xpelanek/publications/its12.pdf
Doi http://dx.doi.org/10.1007/978-3-642-30950-2_49
Field Informatics
Keywords Problem solving; intelligent tutoring systems; item response theory.
Description Our aim is to improve problem selection and recommendation in intelligent tutoring systems by modeling students problem solving times. We describe a simple model which assumes a linear relationship between latent problem solving ability and a logarithm of time to solve a problem. We show that this model is related to models from two different areas: the item response theory and collaborative filtering. Each of these areas provides inspiration for parameter estimation procedure and for possible extensions. The model is already applied in a widely used "Problem solving tutor"; using the data collected by this system we evaluate the model and analyse its parameter values.
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