In the United States, the entanglement of sports and education has persisted for over a century. Multimillion-dollar high school football stadiums, college coaches whose salaries are many times those of their institutions’ presidents, psychological and educational tolls on student-athletes, and high-profile academic scandals are just symptoms of a system that has come under increasing fire. Institutions large and small face persistent quandaries: which do they value more, academic integrity or...