underlie the problem explicitly while solving problems. Individual discussions with
faculty members suggests that they felt that, after years of teaching experience, the
concepts that underlie many of the problems have become “automatic” for them and they
do not need to explicitly think about them. The fact that many introductory students
always think explicitly about the concepts that underlie the problems while solving
problems suggests that they have not developed the same level of expertise and efficiency
in solving problems as physics faculty have.