Project management is being increasingly recognized as an important area of study for computing programs. For example, the most recent Standish Group CHAOS Report concludes that an increased use of disciplined project management may explain an observed increase in the success rate of information technology projects. In addition, Information Technology (IT) has emerged as a new academic discipline, and project management is one of five core technology areas cited in ACM curriculum guidelines for the discipline. Given these factors, it is likely that many computing programs will consider making available a project management course within their curricula. In this paper, it is argued that an experiential approach may be most effective in such courses. A specific experiential approach to the teaching of project management is then described, and some preliminary assessment of the effectiveness of a course using this approach is given.