A colleague recently sent me a copy of The Role of the Professor, by Professor Mark Noll, Professor of Mathematics Emeritus, Carnegie Mellon University. (The unpublished essay is from 1992, when I was in the middle of graduate school.) As Noll writes, "This essay is intended not only to help professors better understand their own role, but also to help the public at large better appreciate this role."
Noll distinguishes between the professor, the teacher, and the professor. The teacher focuses on the student and helps the student learn. The researcher focuses on discovering new results and creating new knowledge. The professor focuses on the subject:
The professor's focus, on the other hand, is on understanding, gaining insight into, judging the significance of, and organizing old knowledge. He is disturbed by the pile-up of undigested and ill-understood new results. He is not happy until he has been able to fit these results into a larger context. He is happy if he can find a new conceptual framework with which to unify and simplify the results that have been found by the researcher.
This is certainly what, on the good days, makes my job so interesting, and it is the ideal to which we should strive. Noll goes on to discuss the administrator's emphasis on teaching and research and the lack of interest in the synthesis and understanding he clearly values.
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