The Didactics of Self-Actions and Operations in Piaget's Psychology, and Its Development

Abstract

This is one of a series of studies on the applications of Piaget's psychology to mathematical education. Theoretical analyses were intended about the formation of didactics based on Piaget's psychology, and it's development; comments on mathematical education by Piaget, claims for pre-curriculum by B. Inhelder, 'Operational principles' by H. Aebli and A. Fricke, and it's clarification and extension by E. Wittmann and H. G. Steiner. It was comprehended that the new active teaching principles are to base on the concept of grouping, and the 'Basics' of mathematical education are thus to clarify the elementary groupings of school mathematics and their teaching strategies.