This study investigated the extent to which various latent class models adequately described elementary rule-governed mathematical behaviors. Children were given a fraction concepts test. Results supported the adoption of a set of three-class models including a mastery class, a nonmastery class, and a transitional class to describe the data.…

A correspondence exists between a simplified data collection method employing results from a post test for graphic skills in kinematics, and a rigourous validation method. Examination of test responses for discrepant instances yielded further information of value. Hierarchical patterns of learning and remembering are identical. (Author/CP)