Research On High School Plane Vector Cognitive Diagnosis Based On AHM Model

Traditional tests can rank and compare the subjects,but ignore the measurement of the psychological state of the subjects.With the continuous development of Education,more and more people hope that the examination can become an integral part of teaching activities and help teachers and students achieve teaching goals.And some scholars have pointed out that if we have a certain psychological understanding of teaching objectives and methods and teaching structure,education evaluation can diagnose learning and provide more suggestions for teaching.Under this impetus,cognitive diagnosis theory began to develop,because it overcomes the shortcomings of traditional single-type fraction.Cognitive diagnosis is based on cognitive psychology and modern measurement.It can evaluate students' cognitive structure and provide students with a detailed report of cognitive diagnosis test.Therefore,it is a general trend to make cognitive diagnosis of learning.At present,cognitive diagnosis is in the stage of development in China.Different scholars test students' cognitive diagnosis in different disciplines and different knowledge points.However,the research on plane vector mainly focuses on educational value,teaching strategies,problem solving methods,understanding level and so on,and the research on cognitive diagnostic testing is even less.Because vector is the bridge between geometry and algebra,it can transform geometric problems into algebraic problems through coordinates,and also can solve geometric problems by algebraic methods.High school learning vector not only simplifies the complexity,but also lays thefoundation for the study of University courses.Therefore,based on the theory of cognitive diagnosis,this paper makes a diagnostic study on the content of plane vectors in order that inexperienced young teachers can quickly and accurately grasp the students' grasp of the situation,so as to formulate remedial measures in line with the students.It is worth noting that in the information age,the theory and model of cognitive diagnosis are constantly developing,and the question bank of cognitive diagnosis is also under construction.Finding out the specific mastery mode of students can provide reference for the subsequent establishment of the whole question bank.The whole article is divided into three parts.The first part includes the first and second chapters.The first chapter is the introduction,which introduces the research background and significance,and lays a starting point for the whole research.The second chapter reviews the recent research on plane vector and cognitive diagnosis,which lays a theoretical foundation for the whole article.The second part includes the third chapter research design and the fourth chapter experiment design,mainly the compilation of the plane vector Cognitive Diagnostic test.Firstly,the cognitive attributes and hierarchical relationships of plane vectors are preliminarily determined based on the curriculum standards,examination syllabus and literature of senior high school mathematics.Secondly,teachers in middle schools are consulted and modified,and then the tests are compiled according to Q matrix theory of cognitive diagnosis.Next,the prediction test is carried out,and HCI value is used to detect the hierarchical structure of attributes,and the reliability,difficulty and discrimination of the test are analyzed.Finally,a formal test was conducted..A total of 1296 people from three high schools in a city were selected for the test.Chapter 5 and Chapter 6 constitute the third part.The collected data are sorted out and analyzed,and the cognitive diagnosis of students is carried out by using AHM model.The probability and mode of students' mastery of the cognitive attributes of plane vector are obtained.The results show that the content of high school plane vector can be divided into six cognitive attributes: basic concepts,linear operation and comprehensive application.On the whole,the probability of students mastering the cognitive attributes of plane vectors is basically good,but it is slightly deficient in comprehensive application.It is worth noting that some students are easy to confuse some basic concepts of plane vectors.Most students can be classified into 9 ideal mastery modes,and different response modes may correspond to the same masterymode.There are differences in the cognitive attributes and mastery modes of plane vectors among students in grade and regional liberal arts and sciences.