Separation of variables can be a powerful technique for solving many of the partial differential equations that arise in physics contexts. Upper-division physics students encounter this technique in multiple topical areas including electrostatics and quantum mechanics. To better understand the difficulties students encounter when utilizing the…

The problem-solving strategies of students enrolled in general chemistry courses have been the subject of numerous research investigations. In most cases, the investigators were interested in the specific areas or concepts that posed the greatest difficulty to a student's success in achieving the correct answer. However, the investigation reported…