Based on catastrophe theory, this paper discusses the relationships between catastrophe and gradual changing, intrinsic factor and external factor, innovation and passiveness, points that the coalescent of catastrophe and grad 以突变理论为指导,探讨了体育教学中渐变与突变、因与外因、新与接受之间的内在关系,指出渐变与突变的整合将导致体育教学系统的不断跳跃式前进,而充盈整个教学过程之中的,将是充满活力的创造性。