The article discusses the challenges of teaching Intellectual Property (IP) in the University of Campinas (Unicamp, Brazil), with reference to the data obtained from a large survey and analysis of the disciplines offered in the undergraduate, graduate and university extension courses, and interviews with professors responsible for these courses and disciplines. The results indicate that although Unicamp has a prominent role in promoting innovation, occupying the second position in the ranking of the largest depositors of patent applications in Brazil, the teaching of the subject in the institution still relies on individual initiatives of the professors themselves, being exclusively dependent on the interest and skills of these individuals rather than a more general orientation of the university. The discussion closes with some observations as to how education and training in IP could be improved, in an attempt to convert them into instruments conducive to the promotion of innovation within nations.