美国微积分课程改革对高职工科高等数学课程建设的启示

Reform of Calculus Course in the USA and Its Implications to the Mathematics Curriculum Construction in Engineering Higher Vocational Education

20世纪80年代,美国微积分课程改革源于大学入学新生增加、计算机科学发展,以及学生、数学家、计算机科学家、数学教育家等对数学课程内容变更提出的新要求。哈佛大学以分析、图像、数值、语言四规则重构完整的微积分课程相关概念,其他一些大学采取开发专门数学计算软件、创设问题并分组合作寻求解决方法、编写微积分教材等经验,对我国高职工科高等数学课程建设具有重构课程体系、确定合理要求、突出工具作用等方面的启示。

In 1980s, the calculus course reform in the USA originated from the increasing of university freshmen, the de- velopment of computer science, as well as the new request which proposed to the mathematics by students, mathemati- cians, computer scientists and mathematics educators. Harvard University reconstructed the complete related concepts of calculus course by analysis, class image, numerical and language, and some other universities have developed specialized mathematical software, created problems and seek solutions by grouping cooperation and edited teaching materials for calcu- lus. All the above experience has enlightenments to the construction of higher mathematics i~ higher vocational education in China in the aspects of reconstructing curriculum system, identifying reasonable requirements and standing out the func- tion of tools.