A probabilistic approach is introduced to classify and diagnose erroneous rules of operation resulting from a variety of misconceptions ("bugs") in a procedural domain of arithmetic. The model is contrasted with the deterministic approach which has commonly been used in the field of artificial intelligence, and the advantage of treating the…

This study used the Montague-Riley Test to introduce a new scoring procedure that revealed errors in cognitive processes occurring at subcomponents of an electricity problem. The test, consisting of four parts with 36 open-ended problems each, was administered to 250 high school students. A computer program, ELTEST, was written applying a…