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高中是基础教育的高级阶段,是接受高等教育前的过渡阶期,因此做好初等数学和高等数学的衔接是很重要的,为此许多教育工作者进行了积极的探索和研究。同时以高等数学知识为背景的数学习题大量涌现。诚然,我们在课堂上可能不会把高等数学知识传授给学生,但作为一名教师倘若仅仅停留在书本知识上,那是很不够的。一方面,高等数学是初等数学的继续和提高;另一方面,初等数学里很多理论遗留问题必须在高等数学中才能得以澄清。因此高等数学在初等数学教学中的作用不可小觑。
High school is an advanced stage of basic education and a transitional stage before higher education. Therefore, it is very important that primary and secondary mathematics are well connected, and many educators have conducted active exploration and research. At the same time, mathematics exercises with the background of higher mathematics have emerged in large numbers. It is true that we may not pass higher mathematics to students in the classroom, but as a teacher, it is not enough if we just stay in the book of knowledge. On the one hand, higher mathematics is the continuation and improvement of elementary mathematics; on the other hand, many theoretical problems in elementary mathematics must be clarified in advanced mathematics. Therefore, the role of advanced mathematics in elementary mathematics teaching should not be underestimated.