Analysis of a Simple Model of Problem Solving Times

Petr Jarušek, Radek Pelánek

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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