高等数学教材中改进《函数与极限》编写的建议

Some Suggestion on Improving the Compiling of " Functions and Limits" in Higher Mathematics Textbooks

通过对2017年高中数学课程新标准带来的高中数学内容变化趋势和《高等数学》编写的传统方法的研究,从数学教育论的视角探讨《函数与极限》编写中需要明确的知识衔接点、教学重点和教学难点,提出了在极限论教学中思维衔接和运算法则是重点、复合函数的运算是难点的观点,并相应地给出了改进教材编写的建议.

Throughout the research of trend in development of high school textbooks coursed by the 2017 standards of mathematics curriculum for high school and the studying of traditional compiling methods of“High Mathematics”,the article explored the knowledge junction,teaching stress and difficulty points which must be considered in compiling of"Functions and Limits"in view of the theory of Mathematics Education.The article showed that the teaching stress of limit theory is the connection of thinking gaps and the limit rules of operations,while the difficulty point is the limit rules of composite functions.Respectively,the suggestion for the improving of textbook compiling are proposed.