中心极限定理应用案例之教学设计——以四川工商学院为例  

Teaching Design of Application Cases of Central Limit Theorem

作　　者：罗琳 Luo Lin(School of Computing,Sichuan Technology and Business University,Chengdu 611745,China)

机构地区：[1]四川工商学院计算机学院,四川成都611745

出　　处：《四川工商学院学术新视野》2023年第3期39-44,49,共7页Academic New Vision of Sichuan Technology and Business University

基　　金：四川省民办教育协会2022年科研课题,课题名称:“互联网+”背景下民办高校混合式教学模式与教学评价改革创新研究,课题编号:MBXH22ZD42;四川工商学院2021-2022年度教育教学改革项目,课题:应用型高校工科类数学课程思政的探索与实践,课题编号:2021JYJXGG12.

摘　　要：中心极限定理作为概率论与数理统计之间承前启后的一个重要纽带,在数理统计中是非常重要的一章内容。它不仅提供了计算独立随机变量之和近似概率的简单方法,而且有助于解释为什么很多自然群体的经验呈现正态分布曲线这一事实,因此中心极限定理的应用范围越来越广阔。但是这个定理对于学生来说过于抽象,难以理解和消化。本文以设置合适的停车位数量这一热点案例,融入思政元素,带领学生主动探索,深入理解中心极限定理,并能应用其解决生活实际问题,同时提高应用数学的意识和兴趣.As an important link between probability theory and mathematical statistics,the central limit theorem is a very important chapter in statistics.It not only provides a simple method to calculate the approximate probability of the sum of independent random variables,but also helps to explain why the experience of many natural groups shows a normal distribution curve.Therefore,the application scope of the central limit theorem is becoming wider and wider.But this theorem is too abstract for students to understand and digest.This paper takes the hot case of setting appropriate parking spaces,integrates ideological and political elements,leads students to actively explore,deeply understand the central limit theorem,and be able to apply it to solve practical life problems,while improving the awareness and interest of applied mathematics.

关 键 词：中心极限定理 正态分布 思政元素 

分 类 号：O211.4-4[理学—概率论与数理统计] G652[理学—数学]