“导数及其应用”的教学实践与认识

• 作 者: 花润
• 机 构: 江苏省邳州市第三中学,
• 出 处: 中小学数学(高中版)
• 发表日期: 2008年03期
• 关键词: 中学教材 函数思想 极限概念 平均变化率 定积分 极值问题 高中数学课程 单调区间 三次函数 苏教版

1.课标对本章的定位1.1微积分又进中学教材微积分的内容在我国的中学教材中可谓是几进几出,分析其原因,除了高考导向外,主要是因为定位不当,主要问题大致有:(1)作为大学微积分内容的一种缩编,简单下放;(2)用极限概念阐述导数,形式化的极限概念是学生学习的一个障碍,影响了学生对导数思想和本质的认识和理解;

1. Curriculum Standards Positioning in this chapter 1.1 Calculus The contents of calculus in secondary school textbooks can be described as several in the middle school textbooks in China. The reason for this analysis is that, besides the orientation of the college entrance examination, it is mainly due to improper positioning. The main problems are roughly There are: (1) as a downsizing of the university’s calculus content, and simple decentralization; (2) expatiating the derivative with the limit concept, the formal limit concept is an obstacle for students’ learning, which affects the students’ understanding of the derivative ideas and essence. understanding;