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基于实践的高中微积分课程比较研究

     

摘要

IB课程与AP课程是国际两大主流课程,它们把微积分知识引入了高中阶段.国内的《普通高中数学课程标准》也在这方面进行了探索,但与IB或AP在微积分教学内容的广度和深度相比尚有距离.国外知名大学一般通过定位测试对新生的微积分课程进行分层教学,完成高中微积分与大学微积分的无缝对接.针对毕业生的调查问卷从一定程度上说明,高中阶段如能较为系统地学习微积分知识,可为大学的专业学习打下良好的基础.%IB program and AP program are two mainstream programs in the world. They both introduced calculus to high school teaching. China's Criteria for High School Math Curriculum also made explorations in this respect, but the calculus stipulated therein didn't compare to IB or AP's calculus contents, both in range and in depth. World-renowned universities abroad usually teach freshman math at different levels based on individual's performance in a so-called placement test upon admission. This accomplished the seamless connection between high school calculus and college calculus. The questionnaire conducted among graduates now studying abroad explains to a certain degree that systematically learning calculus in high school would possibly lay a good foundation for the study of one's major in college.

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