This exploratory study determined whether a mathematical model of mastery learning provided a good fit for achievement data obtained from student progress in an introductory, college-level astronomy course for nonmajors. Results provide positive but not compelling evidence that the model of mastery learning is correct. (JN)

Monitoring student performance on microcomputer drill and practice programs over time provides evidence that students learn from the programs at different rates and that programs differ in the rates at which they impart learning to students. Implications of these and other findings for science teaching are addressed. (JN)

Discusses a single pattern formation mechanism that could underlie the wide variety of animal coat markings found in nature. Presents the results of a mathematical model for how these patterns may be generated in the course of embryonic development. (CW)

Discussed is wavelet theory, which provides ways to rearrange data to reveal features of a physical or mathematical system which might otherwise be hidden. This theory is compared to fourier analysis and the advantages of wavelet theory are stressed. Applications of this technique are suggested. (CW)

When one encounters a problem that one has no adequate way of representing, a new mental model for the problem may have to be found. When a possible model is found, an important next step is to evaluate the validity of the model. In this document, examples of subjects finding and evaluating mental models used as problem representations are…