“概率论与数理统计”课程的教学创新探讨——以全概率公式和贝叶斯公式为例

Discussion on the Teaching Innovation of the Course of Probability Theory and Mathematical Statistics:Taking the Full Probability Formula and the Bayesian Formula as Examples

在大数据时代,概率统计已经渗透到各行各业,“概率论与数理统计”课程的教学成为高校教学不可缺少的一部分,是各领域必不可少的基础分析工具,在许多交叉学科和研究中起着桥梁作用。结合实际教与学中存在的普遍问题,创新教学理念、教学设计,借助现代信息技术和问卷星、学习通、学习强国等平台,师生互动,生生互动,增加学生对概念的直观认识,激发学生的学习积极性和主动性,在教学过程中围绕“案例导向,实践育人”主题,融入思想政治教育元素和专业案例,理论联系实践,提高学生解决实际问题的应用能力,拓宽学生的思路,并建立一套公平合理的考核体制和反馈体制,提高教学效果,教师在创新理念下有所为,学生在创新教学下有所为,实现教与学双赢。

In the era of big data,probability statistics has penetrated into all walks of life.The teaching of Probability Theory and Mathematical Statistics has become an indispensable part of college teaching.It is an essential basic analysis tool in various fields and plays a bridge role in many interdisciplinary subjects and research.Combined with the common problems existing in the teaching and learning,this paper puts forward innovative teaching ideas,tries to promote teacher-student and student-student interactions with the help of modern information technologies and platforms such as Questionnaire Star,Superstar Learning and Xuexi.cn and other platforms,so as to increase students’intuitive understanding of concepts and stimulate students’learning enthusiasm and initiative.We should focus on“case-based teaching and practical teaching”in the teaching process,integrate ideological and political education elements with professional cases.Through the combination of theory with practice,we can improve students’application ability to solve practical problems,broaden students’thinking,and establish a fair and reasonable assessment system and a feedback system to improve the teaching effect.Teachers can achieve good teaching results with innovative ideas,and students can learn more efficiently with innovative teaching,so as to form a win-win situation between teaching and learning.