Analysis Of Mathematics Papers Based On IRT

Examination enrollment rule is the national basic education rule.In terms of content,it is necessary to scientifically design proposition content,strengthen the foundation and comprehensiveness,and focus on examining students' ability to think independently and use their knowledge to analyze and solve problems.In terms of evaluation,a single score report can not reflect students' learning results at multiple levels,so the role of examination as an evaluation means should be further strengthened.This paper is to dig the test paper in depth,and then evaluate the students' ability.Taking the higher mathematics achievements and test papers of Tibet University Institute of Technology as an example,this paper uses the project response theory to get the students' mathematical ability,analyze the reliability and validity of the test papers,estimate the difficulty,discrimination and other parameters,get the overall effect of the test papers and students' ability,and finally issue questionnaires for analysis.Item response theory is a measurement theory that estimates potential characteristics with item characteristic parameters based on a certain mathematical model.We use this theory to estimate the difficulty,discrimination and other parameters using the two-parameter model of Item Response Theory,taking the higher mathematics achievement of students of Tibetan University of Technology as an example.The following conclusions are drawn:(1)the reliability of the test paper is 42.6 and the standard is 25,which indicates that the reliability of the test paper is good;(2)the estimation of difficulty and discrimination parameters are between(-3,3),which meets the requirements of the item response theory.The value of discrimination degree is generally good,but the difference degree from individual questions is low,such as 33,34,36 questions,the difference degree is low,only about 0.3;the value of difficulty is generally on the rise,to meet the test from simple to complex process.Both the filling-in and judgment questions are in the examination of basic knowledge and basic skills.Their difficulty is lower than that of calculation and application questions.Moreover,the difficulty of calculation and application questions is from low to high.The more difficult they are,the lower the probability of students' correct work.However,the passing rate of some individual questions is not in line with common sense,the difficulty is lower,and the passing rate is also lower,such as 25 and 34 questions.(3)Estimate the students' mathematical ability value by using the project response theory model.The students' ability value distributes in the area(-2.8334,2.3726).The ability value in the project response theory is in the range(-3,3).It meets the requirements.The number of students whose ability is in the range(-1,0)is 46,accounting for 43% of the total number,and the number in the range of(0,1)is 29,accounting for the total.About 27% of the students show that the ability of the students in this major is on the low side.(4)Questionnaires were sent out to the students in the higher mathematics examination of the Polytechnic College and recycled.The Cronbach a reliability of the whole questionnaire is 0.856,which is fairly good.At the same time,the reliability of each dimension is above 0.7,which meets the basic requirements.The KMO coefficient is 0.744,the P value is 0.000,which is less than 0.05,so the structure design of the questionnaire is relatively good.(5)Questionnaire analysis shows that there are three main factors affecting students' mathematical ability: 1.School atmosphere,2.Mathematics learning strategies and performance,3.Knowledge point learning.Through questionnaires found that: 1.In peacetime,teachers do not care enough about them and do not give timely help when students encounter difficulties.These aspects need the joint efforts of teachers and students.2.Students are not particularly active in mathematics learning,nor do they use some effective strategies,nor do they have the idea of competing with their classmates in the examination.3.Students are not good enough at mastering concepts.Examples can be understood and done correctly,but they have not achieved the effect of drawing inferences from inferences.Finally,this study puts forward some corresponding suggestions for students' problems,and summarizes the innovation and shortcomings of this study.