As American students struggle with basic mathematical skills, the importance of math fact fluency has gained the attention of educators and researchers. Generalization of math fact fluency is also important for the transfer of skills to other settings and formats, assisting students in the completion of more varied and complicated math tasks. This…

This paper describes Topdown Conceptual Analysis (TCA) and how it can be used to produce the knowledge base for the development of courseware. Some of the prerequisites and basic theories behind TCA are explained. In discussing what is meant by learning and teaching a concept, an explanation is given of how a complex concept can be taught in terms…