The Application Of Mathematical History In Probability And Statistics Teaching In Senior High School

Ministry of Education "on the comprehensive deepening of the views of curriculum reform" clearly stated: data analysis is an important aspect of mathematical core literacy.In the era of large data, although the acquisition of data has become more convenient than ever, but can do scientific analysis, scientific prediction of the citizens are few and far between. Therefore, it is of great significance to cultivate high school students’scientific data processing ability and scientific prediction ability.In this paper, the present situation of the current probability statistics is analyzed from the three existing dimensions of "existing teaching materials", "the status quo of teachers ’teaching", "the status quo of students’ learning" and the teaching experience of the usual teaching experience. In the design, the basic idea of the infiltration probability statistics. Teachers and students try to cope with the examination, frequently summed up the probability model, attention to procedural problem-solving training.This article deeply studies the educational theory of mathematical history, combing the existing teaching case into the history of mathematics. Put forward the basic process of teaching design according to the history of mathematics. That is, sorting out the history of mathematics, sort out the order of development of knowledge, sort out the knowledge structure map based on mathematical historical data, and clarify the concept of knowledge in the process of knowledge development for key nodes and design mathematics history teaching activities.According to the basic process, the design case of probability statistics content is given: the historical evolution process of probability theory and statistical knowledge is analyzed, the essential relationship between probability and statistics is analyzed, and the teaching system of probability and statistics is sorted out. The key nodes are: The fairness of the game promotes the development of probability. Classical probability to statistical probability transition, discrete probability to continuous probability transition, and construct a rigorous probability knowledge structure system. The scientific estimates of statistics are based on probability theory, and the development of probabilities drives the development of statistics. Then the design and development of the "mathematical history of the sample mean to estimate the overall mean", "random variable expectations","fairness of the probability of the game", "the definition of probability", "normal distribution", "regression analysis" Case. This paper explores the basic teaching design of mathematics teaching based on the history of mathematics, which can inspire the first -line teachers to develop a better teaching design into the history of mathematics.To design their own teaching design into classroom teaching practice, the use of group control test, design topics to assess the degree of understanding of students,statistical analysis of data research methods. Through the statistical data found that the experimental class and the control class in the understanding of the concept of mathematics,knowledge of the master level,the ability to migrate knowledge above a significant difference. And the preparation of the interview outline, analysis of teachers and students on the new teaching design subjective experience, found a new history of mathematics into the teaching design, so that students more easily remember the corresponding concept, teachers and students in the learning process, The The new classroom is more able to stimulate students to explore the passion of mathematical knowledge, but also inspired the teacher to re-study the enthusiasm of mathematics.