| 概率论课程中蕴含的数学文化 |
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| 引用本文： | 李璐祎,宋述芳,吕震宙,王燕萍. 概率论课程中蕴含的数学文化[J]. 高等数学研究, 2020, 0(3): 70-76 |
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| 作者姓名： | 李璐祎 宋述芳 吕震宙 王燕萍 |
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| 作者单位： | 西北工业大学航空学院 |
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| 基金项目： | 西北工业大学“双一流”核心课程教学团队建设项目。 |
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| 摘 要： | 数学文化是概率论课程的重要组成部分,因此在概率论课程教学中非常有必要展示所蕴含的数学文化,才能使概率论课程教学在培养学生的工程数学学习与应用技能的同时,又能形成良好的数学思维与素养.从概率论的发展历程、概率论的数学思想与方法,概率实际应用案例等几方面阐明概率论中蕴含的数学文化.概率论课程教学与数学文化的融合能够解读枯燥的概率知识,降低概率知识的抽象性,用数学文化自身的魅力吸引学生,培养学生的创新应用等综合素质.
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| 关 键 词： | 数学文化 概率论 二项分布 正态分布 中心极限定理 古典概型 |
Mathematical Culture of Probability Theory Course |
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| LI Luyi,SONG Shufang,LV Zhenzhou,WANG Yanping. Mathematical Culture of Probability Theory Course[J]. Studies In College Mathematics, 2020, 0(3): 70-76 |
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| Authors: | LI Luyi SONG Shufang LV Zhenzhou WANG Yanping |
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| Affiliation: | (School of Aeronautics, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, China) |
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| Abstract: | Mathematical culture is an important part of probability theory.Therefore,the teaching of probability theory should pay atention to the contained mathematical culture,then probability theory course can not only develop mathematical skils,but also form good mathematical thinking and literacy of undergraduates.The mathematical culture in probability theory course is expounded by the development history of probability theory,the formation processes of some important concepts,the mathematical thoughts and models,some actual application casesan alysis.The integration of probability theory teaching and mathematical culture can interpret the boring probability knowledge,reduce the abstraction of probability knowledge,attract the attention of students to improve learning enthusiasm,and train the comprehensive quality of innovation and application. |
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| Keywords: | Mathematics culture Probability theory Binomial distribution Normal distribution Limit central theory Equipotential probability model |
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