人教A版高中数学新旧选择性必修教材中“导数的概念及其几何意义”内容比较研究
A Comparative Study of the Chapter “The Concept of Derivative and Its Geometrical Significance” in the Old and New Selective Compulsory Textbooks of Senior Secondary School Mathematics of PEP A Edition

为适应教育改革过程中教育目标、教育理念和教育方式的变化，我国于2019年9月正式投入使用了人教A版高中数学新版教材。相较于之前教材，导数部分发生了较大变化，使得教师在使用教材时面临一些问题。导数是高中数学教材中的重难点内容和现代数学的基本概念，蕴含微积分的基本思想，是研究函数性质的基本工具。为此，在对比新旧课标的基础上，从宏观整体结构和微观具体内容两个层面将新旧教材进行比较，以期使教师明晰新课标要求，适应教材变化；转变教学方法，重整教学思路并编写教学设计；对导数全面认识，了解变化和变化原因，更好展开教学活动。
In response to the changes in educational goals, concepts, and methodologies during the educational reform process, China officially introduced the new edition of the high school mathematics textbook published by PEP A Edition in September 2019. Compared with the previous textbook, the derivative part has changed considerably, making teachers face some problems when using the textbook. Derivatives are the key and difficult content in the high school mathematics textbook and the basic concepts of modern mathematics, which contain the basic ideas of calculus and are the basic tools for studying the properties of functions. For this reason, on the basis of comparing the old and new standards, the new and old textbooks are compared at two levels, namely, the macroscopic overall structure and the microscopic specific content, with a view to enabling teachers to understand the requirements of the new standards and adapt to the changes in the textbooks; to change their teaching methods, reorganise their teaching ideas and prepare their teaching designs; and to gain a comprehensive understanding of the derivative, to learn about the changes and the reasons for the changes, and to better carry out their teaching activities.