Gagne's learning-hierarchy model and the model-testing procedures used in empirical investigations of the model are reviewed. Structural modeling techniques based on path analysis are suggested to represent Gagne's positive transfer hypothesis and associated hypotheses. Implications of structural modeling techniques for research in hierarchical…

This study illustrates a process for selecting a preferred model in the validation of hierarchical learning scales. The test performance of 100 8-to 11-year-old children on subtraction tasks involving variations in borrowing are examined. Goodman's response scaling technique is illustrated. (Author/GDC)

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.…

This study investigated the hypothesis that prerequisite skills in a seriation learning hierarchy mediate positive transfer for superordinate skills. In addition, the effect of instructional conditions involving modeling combined with variations in feedback on skill acquisition at different levels in the seriation sequence was examined.…

In the 1960s there developed a growing interest in and supportive evidence for programs to alter intellectual competence, particularly in young children. The abilities concept, which is used to classify people by abilities, is not well suited to teaching intellectual competencies or assessing changes in competence. A new concept, intellectual…