A common task when problem solving in quantum mechanics, including in a spins-first curriculum, involves changing the basis of a given state. Our research in undergraduate quantum mechanics courses at three institutions explores student thinking about basis, basis expansion coefficients, and change of basis in the context of spin-½ systems. Our…

Research in physics education indicates that the use of multiple representations in teaching and learning helps students become better problem-solvers. We report on a study to investigate students' difficulties in solving mechanics problems presented in multiple representations. We conducted teaching/learning interviews with 20 students in a…

A simple circuit problem treating an inductor, resistor and battery in series has uncovered a basic misconception of first-year students. The misconception is not about circuits or electrical properties but concerns rather the meaning and interpretation of the rate of change (instantaneous slope or derivative) of physical quantities. Resolving the…