浅谈概率解释的历史演进及相关教学改进  

A Brief Overview of the Historical Evolution of Probability Interpretation and RelatedTeaching Improvements

作　　者：杨程博[1] YANG Cheng-bo(School of Mathematics,Jilin University,Changchun,Jilin 130012,China)

机构地区：[1]吉林大学数学学院,吉林长春130012

出　　处：《教育教学论坛》2023年第47期145-148,共4页Education And Teaching Forum

基　　金：2021年度吉林大学本科教学改革研究项目“课程思政在提升人才综合素质方面的重要性研究”(2021XYB055)。

摘　　要：作为大数据和人工智能的重要数学基础之一,概率论在支持决策方面的重要性毋庸置疑。但当前的概率论教学大都基于概率的频率解释,贝叶斯解释往往容易被忽略,导致学生很难理解条件概率和贝叶斯定理的内涵。因此,在概率教学中强调对概率解释的认识,以及加深对概率内涵不同维度的理解是十分重要的。基于此,以概率解释的历史演进为理论视角,探究概率解释的形成和转变过程,为今后进一步将该理论成果融入概率论的教学实践夯实基础。As one of the important mathematical foundations of big data and artificial intelligence,the importance of probability theory in supporting decision making is unquestionable.However,current probability theory teaching is mostly based on frequency interpretation of probability,and Bayesian interpretation is often easily ignored.It is difficult for students to understand the meaning of conditional probability and Bayes’theorem.Therefore,it is important to emphasize the awareness of probability interpretation in probability teaching,as well as to deepen the understanding of different dimensions of probability connotation.Based on this,this paper will take the historical evolution of probability explanation as a theoretical perspective to explore the formation and transformation process of probability explanation,and to lay a solid foundation for further integrating the theoretical results into the teaching practice of probability theory in the future.

关 键 词：贝叶斯解释 频率解释 概率解释 教学改进 

分 类 号：G642.0[文化科学—高等教育学]