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“导数”是高中数学的传统内容之一,是进一步学习数学和其他自然学科的基础,是研究现代科学技术必不可少的工具.对这部分内容,《普通高中数学课程标准(实验)》(以下简称《标准》)与《全日制普通高级中学数学教学大纲》(以下简称《大纲》)相比,在教学内容、教学要求上都有很大的变化.本文就《标准》和人民教育出版社出版的《普通高中课程标准实验教科书数学选修2—2》(以下简称“新课标教材”)中对这部分内容与要求的变化进行简要的分析,并对教学中应该注意的问题谈一些设想和建议,供大家参考.1 教学内容和教学要求的变化1.1 教学内容的变化《标准》与《大纲》相比,删去了极限,微分的概念与运算,不定积分的概念与运算,定积分在求旋转体体积中的应用等内容.1.2 教学要求上的变化
“Derivatives” is one of the traditional contents of high school mathematics. It is the basis for further study of mathematics and other natural sciences. It is an indispensable tool for the study of modern science and technology. For this part, “Ordinary High School Mathematics Curriculum Standards (Experiment) 》(hereinafter referred to as ”Standard“) and ”Full-time Ordinary High School Mathematics Syllabus“ (hereinafter referred to as the ”Outline“) compared to the teaching content, teaching requirements have a great change. This article on the ”standard“ and the people A brief analysis of the changes in this part of the content and requirements in the ”General High School Curriculum Standards Test Textbook Mathematics Elective 2-2“ (hereinafter referred to as ”new curriculum standard textbooks“) published by the Education Press, and attention should be paid to teaching Questions about some of the ideas and suggestions for your reference. 1 Changes in teaching content and teaching requirements 1.1 Changes in teaching content ”Standard“ compared with ”Outline", deleting the concept of limit, differentiation and operation, the concept of indefinite integration AND operations, the application of definite integral in finding the volume of a rotating body, etc.