高等数学教材改革创新的认识与实践

针对近年来高职高等数学存在的各种矛盾和所面临的挑战,依据高职教学改革的指导方针,提出了转变观念进行颠覆式教材改革的关键问题,并且本着为专业服务的指导思想,打破了传统,重新构建了微积分的知识体系。阐述了以初等函数为主题思路,对一元函数微积分和二元函数微积分实施概念创新、内容精简、降低理论、强化应用等改革措施,把创建具有职业教育特点的高等数学教材作为教学改革的突破口。这种改革已不是过去意义上的改革,它从体系、概念、理论基础等全方位着手,因此说是颠覆性的改革。这不仅对于提高高职高专等高等教育的教学质量具有重要作用和决定意义,同时也给普通高校还在为怎样改革高数而踌躇的人们提供了一种思路。

Understanding and practice of advanced mathematics textbook reform and innovation

Presents the key problem of changing idea to conduct subversive textbook innovation based on the guideline of teaching innovation in vocational college to tackle the various contradiction and challenges in advanced mathematics teaching in vocational college. Also, it reconstructs the knowledge system of calculus under the guideline of serving professional courses. Elaborates the elementary function as the mainly train of thought, applies the reform measures of concept innovation, refined content, lower theory and strengthened application to one-variable unction and two-variable function. It uses advanced mathematics textbook which is characterized by vocational, practical as well as simple as the breakthrough of teaching innovation. Such innovation is not that of in the past, but takes view from system, definition and theoretical basis, which can be seen as a subversive revolution. Such subversive textbook innovation is not only important and significant to improve teaching quality of higher education in vocational college, but also provides a new train of thought for people who are still perplexed about how to apply advanced mathematics innovation in colleges.