Universities face the challenge of how to teach students more complex thinking and problem-solving skills than were widely needed in the past, and how to teach these to a much larger and more diverse student body. Research advances in learning and teaching over the past few decades provide a way to meet these challenges. These advances have established expertise in university teaching: a set of skills and knowledge that consistently achieve better learning outcomes than the traditional and still predominant teaching methods practiced by most faculty. Widespread recognition and adoption of these expert practices will profoundly change the nature of university teaching and have a large beneficial impact on higher education.