Research On Innovative Teaching Design Of Probability And Statistics In Senior High School ——Taking Dalian Free Trade Zone NO.1 Senior High School As A Example

The content of probability and statistics knowledge is the key and difficult point in high school mathematics teaching.However,teachers basically focus on the injection teaching method in teaching,which will hinder the development of students' thinking.The knowledge content of probability and statistics requires students to have good mathematical literacy.At the same time,through the cultivation of mathematical literacy,having good knowledge of probability and statistics can also promote the continuous improvement of students' mathematical thinking.This requires that in the teaching of probability and statistics knowledge,teachers should constantly update the teaching contents and change the teaching methods,especially pay attention to the combination of theoretical knowledge and life reality,and adopt practical teaching means and methods according to the reality of students.Therefore,it is necessary for every teacher who teaches probability and statistics to innovate in the teaching of probability and statistics and explore a new teaching mode,so that students' mathematical literacy can be continuously improved,so that students can fully understand the key contents of probability and statistics and break the shackles of "stereotypes and old habits".The content selected in this study is the content of "probability and statistics" in Chapter5 of Volume 2 of the new compulsory human education B of high school mathematics.Firstly,we introduce the basic knowledge of high school mathematics probability and statistics and the basic education theory of research,comprehensively elaborate the mathematical literacy,and summarize the ways and methods of cultivating students' mathematical literacy in the course of probability and statistics,Its purpose is to use an innovative perspective to carry out teaching design and make induction and summary.Secondly,this thesis makes a brand-new teaching design for the three sections of "digital characteristics of data","classical probability" and "independence of random events",including four dimensions: textbook analysis,learning situation analysis,teaching key and difficult points analysis and teaching process.Through the practical application of these teaching designs in classroom teaching,setting up control groups and conducting questionnaire survey,this thesis analyzes and judges the results of teaching reform.By reading and combing a lot of relevant literature on the teaching research of high school mathematical probability statistics and how to improve students' mathematical literacy,this thesis obtains the research ideas and research methods of the thesis to be written.At the same time,it is also found that there are relatively few domestic studies on the teaching design of innovative high school mathematical probability statistics and how to improve students' mathematical literacy through innovative probability statistics teaching,Therefore,the author believes that the research of this thesis has certain theoretical significance and practical teaching application value.