Chandralekha Singh University of Pittsburgh Student understanding of quantum mechanics We investigate the difficulties that advanced undergraduate and beginning graduate students have with the material covered in the upper-level undergraduate quantum mechanics. Our analysis is based upon tests administered to students from several universities and individual interviews with some students. We find a number of common difficulties and analyze the student responses in order to extract their origin. It is striking that most students shared the same difficulties, given both the variance in their background and the variety of teaching styles and textbooks. Analysis suggests that the widespread misconceptions originate from the tendency to over-generalize concepts learned in one context to another inappropriate context. We are currently designing and evaluating interacting tutorials to help improve student understanding of quantum mechanics. *Supported in part by NSF DUE #0088906