以学生为中心的案例讨论式教学——大数定律

Students-centered Discussion Teaching Based on Real Cases——the Law of Large Numbers

探讨工科概率统计课程中大数定律的一种不同常规的教学设计及实施过程.此设计充分体现了以学生为教学过程主体的原则,通过学生感兴趣的实际案例进行问题引入,按特殊到一般的顺序引导学生对几个常见大数定律由浅至深进行讨论式学习.同时辅以课堂实验、计算机模拟、数学建模等手段帮助学生深入理解大数定律结论及条件的含义,掌握其工程应用背景,并总结了大数定律的课程思政内容.

This article discusses a novel teaching design and executing process of the law of large numbers in probability and statistics course for engineering students.This design fully demonstrates the student-centered principle.By introducing some interesting real cases the teacher proposes some questions,and then the students study several common laws of large numbers in a discussion mode from the elementary to the profound.More teaching tools such as classroom experiment,computer simulation and mathematical modeling are adopted to help the students to form a deep understanding of conditions and conclusions of these laws as well as their engineering background and applications.Moreover the relative ideological elements are also summarized.