| 概率论与数理统计课程的全程类比教学研究 |
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| 引用本文： | 彭红军,梁艳.概率论与数理统计课程的全程类比教学研究[J].数学教育学报,2012(1):95-97. |
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| 作者姓名： | 彭红军 梁艳 |
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| 作者单位： | 中国矿业大学徐海学院;南京航空航天大学金城学院 |
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| 摘 要： | 概率论与数理统计课程是一门重要的基础课程.在教学中科学使用类比方法,能够从总体上把握该课程的脉络,达到举一反三、触类旁通的效果,能够有效降低教学的难度.可以通过以下方面进行类比教学:随机事件与集合的类比,离散型随机变量与连续型随机变量的类比,一维随机变量与二维随机变量的类比,概率论部分与数理统计部分相关概念的类比,置信区间与假设检验的类比等。
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| 关 键 词： | 概率论 数理统计 类比教学法 教学研究 |
Analogy Teaching Through the Curriculum of Probability and Mathematical Statistics |
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| PENG Hong-jun,LIANG Yan.Analogy Teaching Through the Curriculum of Probability and Mathematical Statistics[J].Journal of Mathematics Education,2012(1):95-97. |
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| Authors: | PENG Hong-jun LIANG Yan |
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| Institution: | 1.Xuhai College,China University of Mining and Technology,Jiangsu Xuzhou 221008,China;2.Jincheng College,Nanjing University of Aeronautics and Astronautics,Jiangsu Nanjing 211156,China) |
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| Abstract: | Probability and Mathematical Statistics is a curriculum which plays vital role in foundation courses.The scientific use of analogy method,can grasp this course in general,to extrapolate,in the context of the effect of liberally plagiarize across,can effectively reduce the difficulty of the teaching.Through the following aspects can analogy teaching: random events and the set analogy,discrete random variable and a continuous random variable analogy,one-dimension random variable and one-dimension random variable analogy,theory of probability and mathematical statistics part of related concepts analogy,confidence interval and hypothesis testing analogy,etc. |
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| Keywords: | probability mathematical statistics method of analogy teaching Study |
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