从F·克莱因呼吁函数观念,到弗莱登塔尔推动现实数学教育,函数概念逐渐成为数学课程的灵魂,引起国内外数学教育研究者的高度重视.随着数学核心素养的提出,函数概念作为数学抽象核心素养的重要载体,备受关注.为了了解目前高一学生对数学函数概念的理解状况,通过测验调查了T城市3所不同类型学校的437名高一学生,主要调查他们在函数概念的感知、释义、关联、抽象4个理解水平的表现.调查结果显示:高一学生的函数概念的理解整体状况一般,不同类型学校间学生函数概念理解水平并不均衡,学校类型越好,学生的理解水平越高,不同性别在函数概念理解水平上具有阶段性差异.%From Christian Felix Klein's calling for the concepts of functions to Freudenthal's promoting realistic mathematics education, the concepts of functions gradually became the soul of mathematics curriculum, and had drawn great attention to the researchers of mathematics education both at home and abroad. As the core of mathematics literacy was put forward, the concept of function, as an important carrier of abstract core literacy of mathematics, was a major concern. In order to understand high school students' current understanding of the concepts of mathematical functions, this study investigated 437 high school students of different types of schools through tests in T city, in which mainly investigated their level of understanding of perception, definition, image and abstractness to the functions of concepts. The results showed that the overall situation of the understanding of the concept of function of high school students was ordinary, but the level was not balanced between different types of schools. The better the schools were, the higher level of understanding the students have. In addition, different genders had periodic variations in understanding level.
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