基于试验设计和大数据子抽样技术的“概率论与数理统计”课程教学探索

作     者：李文龙 

作者机构：北京交通大学数学与统计学院北京 

出 版 物：《教育进展》 (Advances in Education)

年 卷 期：2025年第15卷第1期

页      面：341-347页

学科分类：0502[文学-外国语言文学] 050201[文学-英语语言文学] 05[文学] 

基　　金：信息与计算科学一流重点专业建设(356651535416) 北京交通大学人才基金项目资助(2023XKRC052) 国家自然科学基金青年基金项目(NSFC12201042) 

主　　题：大数据 “概率论与数理统计” 试验设计 教学探索 

摘      要：本教学探索聚焦于“概率论与数理统计课程,深入剖析课程教学现状及痛点问题。将试验设计方法融入教学过程,阐述其与概率论及数理统计知识的紧密联系,涵盖试验设计基本原则、常用方法及其在课程中的应用实例。同时引入大数据子抽样技术,详细说明其原理、方法步骤,并结合课程知识点通过实例展示其作用。经教学实践检验,这些举措有效提升学生学习效果、实践能力与创新思维,为课程教学改革提供有益参考。This teaching exploration focuses on the course “Probability Theory and Mathematical Statistics, and deeply analyzes the current situation and pain points of the course teaching. This paper integrates the experimental design method into the teaching process, explains its close connection with probability theory and mathematical statistics, and covers the basic principles of experimental design, common methods, and their application examples in the course. At the same time, the big data subsampling technology is introduced, its principles, methods, and steps are explained in detail, and its role is demonstrated through examples in combination with the course knowledge points. Through the test of teaching practice, these measures can effectively improve students’ learning effectiveness, practical ability, and innovative thinking and provide a useful reference for curriculum and teaching reform.