Bayesian modelling of student misconceptions in the one-digit multiplication with probabilistic programming

One-digit multiplication errors are one of the most exten- sively analysed mathematical problems. Research work pri- marily emphasises the use of statistics whereas learning an- alytics can go one step further and use machine learning techniques to model simple learning misconceptions. Prob- abilistic programming techniques ease the development of probabilistic graphical models (bayesian networks) and their use for prediction of student behaviour that can ultimately influence learning decision processes.