函数学习中的六个认知层次

Six Cognitive Stages in the Teaching for Function Concept

函数是中学数学的核心内容,根据函数概念的特点和学生的认知结构,可将函数知识建构分为6个层次,即经历认识变量;突出关系;区别函数与算式;掌握“对应”;把握形式化描述;形成函数对象等主要环节.

Function was a key content of middle school mathematics. In this paper, the author intended to divide the learning process into 6 stages for the construction of functional knowledge: understanding variables, stressing relations, employing formula, knowing correspondence, grasping formal description, and understanding it as an object.