Offering mathematics majors the opportunity to engage in current, real-world applications can be an important enhancement to their undergraduate course curriculum. Instead of focusing on the traditional topic areas in pure and/or applied mathematics, one may structure a seminar course for senior mathematics majors by concentrating on a specific…

Argues the usefulness of algebraic and topological mathematical models and general principle formulation for educational research. Applies an algebraic model to relate learning to the pace of instruction. Formulates two broad principles: the Quantitative and Qualitative Teaching Principles (more teaching produces more learning; and learning is…