This case study explored the perspectives regarding graduate dissertation supervision held by professors and graduate students in a university science department. Expectations and personal relationships within the graduate dissertation supervision process are discussed in order to establish better supervision practice in a climate of expanding graduate enrollment numbers. Observations, interviews, and action research were used in gathering data. Appendix contains supervision of research students questionnaire. From the collection of opinions represented in this paper, it is clear that, in the natural sciences, students usually channel their research into the existing areas of supervision in the school. This situation creates postgraduate supervision in research teams, which is unique to the natural sciences and which encourages cooperative relationships amongst staff and students. This case study suggests that clear expectations and procedures should be established in order to provide supervisors and graduate students with better opportunities to establish a collaborative working relationship. (MKR)