摘要
对数学建模方法在概率论与数理统计教学中的应用进行研究。概率论与数理统计课程所包含的数学建模方法主要有引入随机变量和引入其他小的数学模型。随机变量就是从样本空间到实数集的一个映射,并满足一定条件,把随机事件问题转化为变量的问题,然后再定义分布函数,这样就完全把随机试验问题转化为了数学问题,从而可以通过数学工具来研究随机现象。概率论与数理统计中包含着很多小的数学模型,如古典概型、几何概型、n重贝努利概型,还有好多习题也是小的数学模型,可以充分利用这些例子来帮助学生掌握概率论与数理统计的理论知识,并用其来解决实际问题。将建模方法应用在概率论与数理统计课程教学中能够讲清楚概念的来龙去脉,使学生理解概率论与数理统计的理论和方法的背景意义及应用价值。利用数学建模方法能够提高课程教学的实效性,使学生能够利用其解决实际问题。
The research analyzes the mathematical modeling method in the teaching of probability theory and mathematical statistics.Mathematical modeling method in probability theory and mathematical statistics mainly includes the introduction of random variable and other small mathematical model.Random variable is a map from sample space to real number collection,and satisfies certain conditions.Transferring random event problems into variable problems,and then defining propagators can completely transferring random experiment problems into mathematics problems to research random phenomenon through mathematics tools.Probability and statistics include many small mathematics models,such as classical,geometry and Multiple Benouli scenarios schemes.And many exercises are the small mathematics models.We can use these examples to help students to grasp the theoretical knowledge of probability theory and mathematical statistics,and to use them to solve practical problems.It is necessary to clearly tell the context of the concept in the application of modeling approach of probability theory and mathematical statistics to make students understand the background significance and application value of the theory and method.Using mathematical modeling method can improve the effectiveness of course teaching and make students solve practical problems.
作者
席进华
Xi Jinhua(College of Science, Beibu Gulf University, Qinzhou 535011, China)
出处
《黑龙江科学》
2020年第23期52-53,共2页
Heilongjiang Science
基金
北部湾大学2018年度钦州学院本科教改重点项目(18JGZ021)。
关键词
数学建模方法
概率论与数理统计
教学应用
Mathematical modeling method
Probability theory and mathematical statistics
Teaching application
