Abstract
This paper deals with an automatically diagnostic models or an intelligent CAI for student's misconception of arithmetic skills. Underlying Brown and Burton's “Buggy model”, we assume that the students don't make errors in arithmetic calculation, but they perform misconceptual procedure of calculation. This research is a basically expanded version of Buggy model to multiplication and division, and implemented by LISP language based on a procedural network. The present model is able to select the appropriate arithmetic tasks for student's misconception according to the procedural diagnosis.