中法高中数学课标微积分内容比较研究

Comparison on the Standard of Calculus in Mathematics Curriculum of Senior High Schools between China and France

为追求更高的教学质量,中法两国一直不断地调整高中微积分的教学内容.比较法国2010和2011年公布的高中最新数学大纲中的微积分与中国2003年颁布的《高中数学课程标准》中的微积分内容,建议中国高中微积分教学应缩小知识跨度,加强分层教育,注重微积分与实际以及其它学科的联系,且进一步加强微积分教学与信息技术的整合.

In order to improve the quality of mathematical education, China and France have made several revisions on the standard of calculus in senior high school. This paper mainly discusses the content of calculus in the latest mathematics curriculum standard of France issued in 2010 and 2011, then compares it with Standard of General Senior High School Mathematics Curriculum of China issued in 2003. After comparison, we draw some conclusions. We should narrow the span of knowledge, strengthen stratified education, pay more attention to the combination of calculus with practice and other disciplines, and enhance the conformity between the instruction of calculus and modern information technology.