Research On The Construction And Application Of Comprehensive Difficulty Evaluation Model Of Mathematics Examination Paper Based On Fuzzy Analytic Hierarchy Process

The senior high school entrance examination is an important test for evaluating students’ academic level in the compulsory education stage.The examination evaluation includes an analysis of the quality of the senior examination papers.One of the important indicators is the difficulty of the test paper.The difficulty of the test papers in the senior high school entrance examination not only reflects the overall level of education and teaching,but also reflects the reasonableness of the test papers.It is feasible to effectively evaluate the difficulty of the test paper by establishing appropriate evaluation indicators and then constructing a feasible evaluation model.However,the mathematics test paper has the characteristics different from other subject test papers due to the difference of the subject system,the evaluation of the comprehensive difficulty of the test paper has its own unique index system.Based on the above statement,this paper will take the evaluation index of the comprehensive difficulty of mathematics test paper as the research object,and consider the following two specific problems: how to establish an evaluation index system,and study the degree of influence of each index on the comprehensive difficulty of mathematics test paper,and then build an evaluation model for the comprehensive difficulty of the mathematics test papers in the senior high school entrance examination? Applying the model to the evaluation of the mathematics test papers for the senior high school entrance examination in Tianshui in the past five years(2017-2021),how does the comprehensive difficulty change?In this paper,the evaluation index of comprehensive difficulty of mathematics test paper is sorted out by literature analysis method,and its complete evaluation index system is established by consulting with relevant experts.In the construction of the evaluation model,the characterization of the index system often has different degrees of uncertainty.However,the theory of fuzzy mathematics can quantify the evaluation indicators with uncertainty and then deal with qualitative problems,and the analytic hierarchy process(AHP)can effectively combine quantitative and qualitative to solve comprehensive evaluation problems.Therefore,the fuzzy analytic hierarchy process(FAHP),which combines the advantages of the above two methods,is used to construct the comprehensive difficulty evaluation model of the mathematics test paper.Finally,the model was applied to the evaluation of the difficulty of the mathematics test papers in the high school entrance examination in Tianshui in the past five years.The data is collected and analyzed in the form of a questionnaire survey,and the results of the comprehensive difficulty of the mathematics test papers in each year are initially obtained,and then the changing trend of the comprehensive difficulty of the mathematics test papers in the high school entrance examination in Tianshui is analyzed by drawing a line graph,so as to show the validity of the model.The results show that: in the past five years,the comprehensive difficulty of the mathematics test papers in the high school entrance examination in Tianshui has shown a trend of rising first and then falling,and the years are ranked from difficult to easy in 2019,2018,2020,2017,and 2021.Referring to the interviews with firstline senior middle school mathematics teachers,the qualitative evaluation results of the comprehensive difficulty of the mathematics teat papers in the Tianshui high school entrance examination in the past five years are consistent with the final evaluation results of this model.It is feasible and effective to evaluate the comprehensive difficulty of mathematics test papers.By constructing a more objective evaluation model,this paper provides a new way to evaluate the comprehensive difficulty of mathematics test papers.