A Comparative Research On The Mathematics Finale Problems Of College Entrance Examination Over Five Years

The mathematics finale problems of the college entrance examination is a kind of extremely characteristic topic in the mathematics paper.It has a high value in talent selection and education.Based on the comparative research method and statistical analysis method,this paper selects mathematics finale problems of the national ?,Beijing and Zhejiang Science volume from 2014 to 2018 as the comparison objects,compares them from the macro and micro levels,and puts forward the mathematics teaching suggestions.Firstly,this paper analyzes the research background,purpose and significance,determines the research problems,and defines the core concepts.Secondly,based on the literature review,this paper designs the research ideas,and takes the national ?,Beijing and Zhejiang mathematics finale problems as the research objects.Taking the combination of qualitative and quantitative methods,they are compared from the knowledge content,composite difficulty and test student's mathematic ability and other aspects of comparative analysis.Finally,the research conclusions are concluded as follows:(1)In terms of knowledge content,the finale problems of the national ? have examined about the function and derivative problems for five consecutive years.The mathematical finale problems of Zhejiang Volume examined the sequences problems of the series from 2015 to 2017.In 2018,The knowledge content of bothexaminations was the same.As that of the national ? volume,which examined the relationship between functions and derivatives.The mathematical finale of Beijing has examined the sequences problems for five consecutive years.(2)In terms of composite difficulty,based on the composite difficulty model of mathematical finale,the conclusions show that in terms of the number of modules,the level of reasoning,and the level of computation complexity,the three sets of test papers are almost consistent.However,at the level of investigation and background,there is a slight difference.At the level of investigation,Zhejiang's mathematics finals is far more than the national ? and Beijing finale.In terms of background level,the Beijing mathematics finale is higher than the national ? and Zhejiang finales.(3)In terms of test student's mathematic ability,this paper compare the four questions of the National I and Zhejiang mathematics finals in 2018 and the 2017 Beijing and Zhejiang mathematics finals,and finds that Zhejiang finale focuses on examining students' reasoning and investigation ability.The national finale focuses on the computing power of students.The Beijing mathematics finale focuses on the students' ability to read mathematics.Based on the research conclusions,combined with the requirements of the curriculum standards and the examination outline,we put forward five teaching suggestions from the aspects of mathematics knowledge teaching and mathematics ability training.