Ruth W. Chabay

Restructuring the introductory electricity and magnetism course

In the electricity and magnetism (E&M) segment of the traditional introductory calculus-based physics course, many new and increasingly abstract concepts, embodied in complex formal relations, are introduced at a rapid pace. As a result, many students find E&M significantly more difficult than classical mechanics. We describe a different intellectual structure for the E&M course that stresses conceptual coherence, connects the abstract field concept to concrete microscopic models of matter, and follows a clear story line, culminating in the classical model of the interaction of electromagnetic radiation and matter. This sequence has proven to be effective in teaching the basic concepts of E&M.

Computational physics in the introductory calculus-based course

The integration of computation into the introductory calculus-based physics course can potentially provide significant support for the development of conceptual understanding. Computation can support three-dimensional visualizations of abstract quantities, offer opportunities to construct symbolic rather than numeric solutions to problems, and provide experience with the use of vectors as coordinate-free entities. Computation can also allow students to explore models in a way not possible using the analytical tools available to first-year students. We describe how we have incorporated computer programming into an introductory calculus-based course taken by science and engineering students.

Tale of two curricula: The performance of 2000 students in introductory electromagnetism

The performance of over 2000 students in introductory calculus-based electromagnetism (EM M&I averages were significantly higher in each topic. The results suggest that the M&I curriculum is more effective than the traditional curriculum at teaching E&M concepts to students, possibly because the learning progression in M&I reorganizes and augments the traditional sequence of topics, for example, by increasing early emphasis on the vector field concept and by emphasizing the effects of fields on matter at the microscopic level.

Labs for the Matter & Interactions curriculum

The Matter & Interactions curriculum for a calculus-based introductory physics course emphasizes the power of a small number of fundamental principles, incorporates the atomic nature of matter throughout, and introduces students to computational modeling. The main goal of the laboratory portion of this curriculum is for students to see fundamental principles in action. From this goal flow subgoals that have led to the development of laboratory activities that include several novel genres.