如何用高等数学及其观点指导中学数学研究和调控数学教学活动 ,这是值得广大一线数学教师积极参与研究的课题 .指导与调控 ,并非狭义地指用高数知识解决初数习题 ,而应该包括 :( 1)在备教材表述内容的同时 ,注意考察该数学知识在整个教学体系中的地位和作用 ;( 2 )在设计暴露教 How to use advanced mathematics and its viewpoints to guide middle school mathematics to study and regulate mathematics teaching activities. This is a subject worthy of the majority of front-line mathematics teachers to actively participate in the research. Guidance and regulation is not narrowly used to refer to the use of high-level knowledge to solve initial exercises, but should include : (1) While preparing the teaching materials, pay attention to the position and role of the mathematical knowledge in the entire teaching system; (2) Teaching in design exposure