What and When do Students Learn? Fully Data-Driven Joint Estimation of Cognitive and Student Models.
José P. González-Brenes, Jack Mostow · 2013
We present # of items the Topical Hidden Markov Model method, which M infers jointly a cognitive and student model from longitudi-m m nal α observations Q of student qu,tperformance. Its cognitive diagnostic component specifies which items use which skills. # of skills Its knowledge S·L tracing component specifies S how to infer students’ knowledge of these skills from their observed performance. s,l Unlike s,l prior work, s τ K k it uses no expert engineered u,t domain knowledge — yet predicts future student performance in an algebra tutor as accurately as a published expert model. ω D y timesteps u,t T