Six exemplary professors, all trained as mathematicians, were interviewed regarding their views about university teaching and learning. Nine themes emerged; seven related to teaching and two related to learning. Among the teaching themes, the most prominent was the importance placed on caring and concern for students. In addition the professors were concerned with all essential aspects of course design (content, learning outcomes, strategies and evaluation), passion for their discipline and their teaching, and the tension between research and teaching in the university context. In terms of their views of learning, these professors believed that students learn through active engagement which serves as a means for learners to personally construct knowledge. The relationship is explored between these results and findings from the literature in math education and higher education. We conclude that caring about students is not only a characteristic of math professors but likely to be typical of professors across disciplines, and may also be an indicator of advanced levels of teaching development. Implications for faculty development are proposed.