Abstract: Piaget’s classical theory of cognitive development, though considered classic, was not completely satisfactory and so it was criticized frequently in the 1960s and 1970s. This article began with the introduction of the reasons why it was criticized and challenged, followed by the theory reconstruction effort in Piaget’s later years and then the author tried to give preliminary evaluation on Piaget’s new theory. Author pointed out Piaget’s new theory based on these new concepts of correspondence, morphism, category and transform. Moreover, it regard development as a evolvement process from intramorphism to intermorphism to transmorphism. Therefore, Piaget’s new theory emphasized the concept of level and meaning logic, weakened the concept of stage and proposition logic.

Key words: Piaget’s classical theory of cognitive development, Piaget’s new theory, correspondence, morphisms, category