This handbook on effective college mathematics teaching offers suggestions on course planning; lecturing; using the blackboard, textbooks, and visual aids; making assignments; scheduling, composing, and grading tests; and giving grades. It also discusses feedback and instructor evaluation and includes a sample questionnaire that might be given to students. A section on the role of teaching assistants suggests that a program of regular visitation, evaluation, orientation, and guidance by regular faculty members be followed. The final section lists professional journals and periodicals concerned with higher education, and gives a bibliography of books on mathematics, mathematics history, and mathematics teaching. (DT)