一、引言APOS是美国的杜宾斯基等人在数学教育研究实践中提出来的一种学习数学概念的理论.他们认为,学生学习数学概念需要经历四个阶段的心理建构,即Action(活动)阶段、Process(过程)阶段、Object(对象)阶段、Scheme(图式)阶段(简称APOS).这四个阶段或步骤一般不能逾越,应当循序渐进.同时,又不可只停留在具体、直观、视觉化的阶段,必须升华、逐级地抽 I. INTRODUCTION APOS is a kind of theory of mathematical concepts put forward by Dobinski et al in the United States in the practice of mathematical education.They believe that students need to go through four phases of psychological construction to learn mathematical concepts, namely Action Process phase, Object phase and Scheme phase (referred to as APOS). These four phases or steps are generally insurmountable and should be carried out step by step. At the same time, they can not only stay in a concrete, intuitive, Visual phase, must be sublimated, step by step pumping