用“做数学”理念探究“随机事件及其概率”

Inquiry into "Random Events and Probability" Based on the Theory of Do Mathematics

生活中的随机现象无处不在,概率问题到处可见.几何画板的动画演示可以让学生体会概率的理论性和频率的可变性,澄清生活中的错误认识,联系＂实验＂、＂问题＂与＂生活＂,学到＂好玩的＂、＂有用的＂的数学,培养学生实验法探究知识的能力.

Randomness in life exists everywhere and so does probability. In the chapter of ＂Random Events and Probability＂, the teaching difficult point lies in the relationship between frequency and probability. In order to help students make a successful breakthrough, I design several in-class experiments, including flipping coins, analyzing historical data of flipping coins and simulating the flip on computer. With the help of the geometric sketch cartoon demonstration, students thoroughly understand the theory of probability and the variability of frequency. To sum up, my teaching practice succeeds in correcting students＇ former misunderstanding, inspiring them to connect study with life, learning interesting and useful mathematics and cultivating students＇ ability to research into mathematics by means of enquiry and experiment.