用自然的语言接近微积分——以James Stewart所著的《微积分》为例

摘要

For a long time,calculus is always the one of active fields in mathematics education reform.The reform of calculus in American makes the calculus teaching full of the energy.It pays attention to the essence,and funds the innovative method to help students achieving deep understand on calculus idea.By analyzing the main textbook of calculus in USA,Calculus written by James Stewart,and comparing the limit theory,differential calculus and integral calculus in our country＇s textbook,puts forward some suggestions for our country＇s calculus teaching.%长期以来,微积分始终是数学教育改革中最活跃的领域之一。美国的微积分改革使得美国的微积分教学充满了活力,它注重本质,发现能帮助学生获得对微积分思想深刻理解的创造性方法。通过分析美国微积分的主流教材,即James Stewart所著的《微积分》教材,并与我国微积分教材中的极限理论、微分学和积分学部分进行了比较研究,根据比较研究的结论,对我国微积分教学提出了若干建议。