The teaching of critical thinking is discussed, based on the view that methods of teaching critical thinking vary from discipline to discipline. After covering basic concepts related to teaching critical thinking, a framework to examine the process of critical thinking is presented, based on cognitive science and developmental theory, especially the work of Jean Piaget. Practical considerations of classroom teaching are also covered, including two programs that have been successful in teaching the attitudes and skills of critical thinking to college students. The importance of a desire to ponder and a sense of mystery in developing attitudes needed for critical thinking is considered, along with how to create a classroom environment that encourages these attitudes (i.e., an interactive classroom environment in which discussion and problem solving replace lecture as a primary teaching strategy). Also considered are: designing effective written assignments, the advantages of a personal style of teaching, teacher preparation and a model for critical thinking seminars, and the relationship between the teaching of critical thinking and larger cultural values. (SW)