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You have just responded to a few puzzles and examined responses of students answering these same puzzles. Observations of many children and adolescents attempting to perform similar tasks have led Jean Piaget and other psychologists to formulate theories concerning the mental processes individuals use to deal with problem situations. In this module, we shall introduce you to the idea of concrete and formal reasoning, a feature of Piaget's theory we consider important for college teachers. Modules 3 and 4 will give you more details and examples to illustrate what we say here. The later modules will introduce you to other important ideas in Piaget's theory and help you to apply these ideas to your college teaching.