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

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.