摘要
将三门问题视为条件概率问题,按数学建模的方法步骤,在基本假设之下整体构造模型并分析,给出概率解答并回答问题,然后对常见的两种解答给出了解释。条件概率方法可拓展出在条件、参数变化时的一般表达式,符合数学建模的特点。沿着这一思路可以把中学数学教材中的一些内容改造成即能传授知识又能培养数学建模素养的素材,为实现培养数学建模素养的目标服务。
Regarding the Monty Hall problem as a conditional probability problem,we solved it with the steps of mathematical modeling approach,and interpreted two common solutions.The method used allows to derive general expressions with conditions and parameters varying,which satisfies the feature of mathematical modeling.Following this line of thinking,we can transform some contents in middle school mathematics textbooks into source materials for both imparting knowledge and cultivating mathematical modeling accomplishment,to serve the goal of cultivating students' mathematical modeling accomplishment.
作者
张宏礼
吴文涛
甘乃峰
潘立军
ZHANG Hongli;WU Wentao;GAN Naifeng;PAN Lijun(School of Mathematics and Statistics,Lingnan Normal University,Zhanjiang Guangdong 524048,China;Leizhou First Middle School,Zhanjiang Guangdong,524200,China)
出处
《牡丹江教育学院学报》
2024年第9期62-65,共4页
Journal of Mudanjiang College of Education
关键词
三门问题
数学建模
条件概率
贝叶斯公式
Monty Hall problem
mathematical modeling
conditional probability
Bayes'formula
