In concluding, let me observe that the ability to teach and to communicate well is of concern throughout science and engineering. Indeed, the National Academy of Sciences’s publication Preparing for the 21st Century: The Education Imperative reports that “employers do not feel that the current level of education [of Ph.D. graduates in science and engineering] is sufficient in providing skills and abilities…particularly in communications skills (including teaching and mentoring abilities for academic positions),…, [and] teamwork.…” Discipline-based efforts seem most likely to be effective in addressing this concern. Fortunately, an increasing number of individuals arenow thinking about how to develop teaching strength in mathematics graduate students and investigating how mathematics graduate students learn to teach. Other authors have started to share their own successful materials and programs (for example, [2], [5], [6]). Let us hope that these efforts will lead us to the day when every mathematics graduate student completing a Ph.D. is fully prepared to teach a class independently—and excellently—upon graduation.