中美两国课程标准中高中函数内容的比较

Comparison in the Field of “Function” on Senior High School between Chinese and American Mathematics Curriculum Standards

美国于2010年颁布了《共同核心州立数学标准》，其高中函数部分的内容与中国《普通高中数学课程标准（实验）》相比，二者的知识点都有比较清晰、具体的要求，都重视函数的应用以及与信息技术的结合；而在课程实施的灵活性、内容编排的逻辑性与具体知识点的要求等多方面都有一定的区别．比较中美两国数学课程标准的高中函数内容，可以得到不少启示，在未来的课程改革中要处理好数学课程标准中函数内容的限定与自主的关系，函数知识的理解与应用的关系，函数知识与其它数学知识的关系．

American Common Core State Standards for Mathematics was issued in 2010. The content standards of function in high school, compared with which in Chinese mathematics curriculum standards, have something in common. Both of the standards have distinct and concrete requirements, and they both attach importance to the application of function and its combination with information technology. The two standards have some differences in flexibility of implementation, logic of content arrangement and standards of specific knowledge. We can get a great revelation from the comparison. In future curriculum reform, we should pay attention to the relationship of limitation and self regulation, of understanding and application, of function and other knowledge in the field of function.