Résumé
In this paper I consider the thinking of variant from the perspective of Pythagorean chapter in The Nine Chapters. Among the various elements to be considered I focus on the need to address five aspects to analysis the thinking of variation of Chinese classical works. The five aspects are solutions of a given problem, changes of a given problem, uses of a given problem, changes of a given diagram and changes of identity. Furthermore I shall analyze the thinking of variant from psychology of mathematics education in order to provide a reference for today's mathematics education research and practice.