连续型随机变量函数的分布教学设计  

Teaching Design of the Distribudtion of Continuous Random Variable Funcdtions

作　　者：臧鸿雁[1] 张志刚[1] 李娜[1] ZANG Hongyan;ZHANG Zhigang;LI Na(School of Mathematics and Physics,University of Science and Technology Beijing,Beijing 100083,China)

机构地区：[1]北京科技大学数理学院,北京100083

出　　处：《大学数学》2021年第6期96-100,共5页College Mathematics

基　　金：北京科技大学2018年度本科教育教学改革与研究重点项目(JG2018Z07,JG2019Z03);北京科技大学2019年度本科教育教学改革重大项目(JG2019ZD05)。

摘　　要：针对一维连续型随机变量函数的分布这个知识点进行了教学设计,从提出问题,依据数值模拟直观猜测结果,分析问题,解决问题,推广到更一般的问题描述,探索更一般解决问题的方法,最后到以应用为导向对知识点进行拓展.通过对学生调查问卷进行数据分析,显示本教学设计得到的学生认可度较高,该教学设计方法可以类似推广到其它知识点的教学设计中.A teaching design is carried out for aiming at studying the knowledge point of the distribudtion of one-dimensional continuous random variable funcdtions.From asking quesdtions,intuitively guessing results based on numerical simuladtions,analyzing quesdtions,solving quesdtions,generalizing to more general quesdtion descripdtions,and exploring more general methods to solve quesdtions,and finally to the applicadtion-oriented expansion of knowledge points.Data analysis of the student quesdtionnaire shows that this teaching design is highly recognized by students,and the method of this teaching design can be similarly extended to teaching design of other knowledge points.

关 键 词：教学设计 连续型随机变量 随机变量的函数的分布 随机数 

分 类 号：O212.1[理学—概率论与数理统计]