The Study On The Integration Of Mathematical Culture In The College Entrance Examination Papers

In recent years,the word "culture" has attached so much attention,as a significant part of the whole human society culture,mathematics culture has extremely momentous educational value,it helps to improve students' mathematical literacy and promote their all-round development.The college entrance examination,as an extremely important talent selection method in China,the content of the examination has certain guiding effects on the teaching of high school,the 2017 edition of the general high school math curriculum standards explicitly requires that mathematics culture should be included in the questions setting for college entrance examination,the good news is that in recent years,with the continuous enrichment of the content of the math exam,there have been a lot of mathematical cultural content into the college entrance examination questions,moreover,the content of mathematics culture in the college entrance examination has been constantly flourishing,occupying a considerable part of the score,which has aroused the attention of both teachers and students.At present,however,the research on mathematics culture in the college entrance examination questions is mostly carried out by a set of examination papers or individual questions.Analysis of the mathematics culture in the questions,but rarely mentioned the level of mathematics culture in the questions,so it is necessary to carry out a systematic study.Firstly,this paper adopts the literature research method,I read a large number of relevant literatures,classify and deal with them,and summarize the research status and shortcomings of mathematics culture in the college entrance examination questions,and then lead to the issues to be studied in this paper.Secondly,based on the national science papers from 2015 to 2019(including national I volume,national II volume,national III volume,beijing volume,zhejiang volume,jiangsu volume,tianjin volume,shanghai volume),this paper presents a statistical table of 98 math culture questions,which includes six items: year,source,cultural background,mathematical knowledge,question type and score value,and carries on the overall analysis to it.Then selects part of the test questions with distinct mathematical cultural background,and divides these questions into three categories according to the mathematical cultural background:the history of mathematics,the beauty of mathematics,and the application of mathematics,in each category,a subcategory is given,and the case analysis method is used to evaluate each test question,so as to summarize the commonness of each kind of test questions.Thirdly,this paper carries out seven aspects of statistics and analysis on the questions of the college entrance examination which are integrated into the mathematics culture: distribution of cultural background,distribution of question tupes,distribution of test mathematical content,distribution of papers in different areas,and mathematics history,mathematics beauty,mathematics application changes year by year in the college examination questions,mathematics culture test questions change year by year in the multiple-choice questions,fill-in-the-blank questions and solutions,functions and preparatory knowledge,geometry and algebra,probability and statistics changes year by year in the mathematics culture test questions,and analyzes the reason of this kind of situation and predicts its change trend.Then,based on the research framework established by professor wang xiaoqin and others,this paper divides the application level of mathematics culture in the college entrance examination questions into level 1,level 2 and level 3,which increases level by level,this paper uses quantitative analysis method,firstly makes an overall analysis of the application level of the college entrance examination questions integrated with the mathematics culture,and then makes a statistical analysis of the distribution of the mathematical cultural background and question types.Finally,based on the characteristics and application level of the mathematical cultural questions in the college entrance examination,this paper gives two enlightenments of the college entrance examination: proposition and teaching.In terms of proposition: rich and innovative mathematical cultural background;pay attention to the balance and diversification of question types;increase the breadth and depth of mathematical knowledge examined by the examination questions of mathematical culture;to improve the level of mathematical cultural application.Teaching: carry out special teaching of mathematics culture;pay attention to the teaching of implicit mathematics culture;use the principle of historical similarity to teach;advance with the times,apply the advanced research results to teaching.