The Study On Teaching,learning And Examination Of Normal Distribution In Senior High School

Normal distribution has been widely used in the field of error theory,natural science,social science and biology since it was introduced by De Mover in the 1733,especially in the fields of education,medicine,production and agriculture,forestry and animal husbandry.With the deepening of the new round of basic education reform,especially in order to adapt to abolish the college Entrance Examination Science and Sciences Branch,the revised curriculum standard puts forward higher requirements for the normal distribution content,such as the requirement error model,mean value and square difference.Based on this background,this dissertation carries on the special study to the high school normal distribution teaching,the learning and the examination,hopes to put forward the suggestion for the high school teacher teaching,the high school student learning,the proposition expert proposition,and lays the foundation for the university student's study probability theory and the mathematical statistics.On the basis of relevant background introduction,concept definition and Literature review,the 3rd chapter of the thesis,through interviews with 6 high school teachers,concludes that:(?)the longer the teaching age,the more emphasis is placed on the combination of theory and practice;(?)the related concepts and properties of normal distribution are the most difficult points in teaching.Therefore,this paper puts forward three teaching suggestions which attach importance to knowledge in the past life,pay attention to the occurrence process of knowledge and grasp the teaching content of classroom,and designs three teaching processes of normal distribution based on "High Milton Board",based on "realistic situation" and based on "mathematical facts".In the 4th chapter,through a questionnaire survey of 210 students,it is found that:(?)students ' interest in normal distribution is general;(?)students are able to distinguish between the concept of normal distribution and the concept of two distribution;(?)students attach importance to the application of normal distribution;(?)the related concept of normal distribution is a serious difficulty in learning.In view of this,this paper puts forward four learning suggestions to cultivate learning interest,distinguish related concepts,strengthen computing ability and develop good habits.In the 5th chapter,the paper answers and evaluates the normal distribution test questions in the 12 years of the National Provincial College Entrance Examination in2007 and 2018,and concludes that the normal distribution content examination has the following three characteristics,that is,the comprehensive examination content,the innovation test background and the cultivation application consciousness,and then puts forward three proposition suggestion to increase the mathematical historical facts,strengthen the innovation consciousness and attach importance to the mathematical modeling and try to illustrate the example.The 6th chapter of the thesis makes a summary and prospect of the full text,and puts forward further research directions.