| Cooperative learning can cultivate students ’ teamwork ability and improve the efficiency of students ’ problem solving.It is a student-centered learning method advocated in the current new curriculum reform practice.Reasonable grouping is an important part of cooperative learning.The traditional teaching process usually adopts fixed seat natural grouping or random grouping according to teachers ’ experience,which cannot guarantee the high matching degree of group members in knowledge mastery.Cognitive diagnosis analyzes the students ’ test results,diagnoses the students ’ internal knowledge points and cognitive structure,and provides an effective basis for grouping.Therefore,based on the theory of cognitive diagnosis,this paper uses the DINA model to model students,constructs a collaborative learning group according to the student model,and applies the grouping results to the junior middle school mathematics teaching practice.First of all,with the teachers and subject experts to determine the cognitive attributes and the preparation of cognitive diagnosis test papers,a total of 48 students in class 10 of grade 7 in a middle school in Jiangbei District of Chongqing were tested.According to the test results,the test question-knowledge point matrix and the student-test question matrix were constructed.The DINA model was used for cognitive diagnosis to obtain the student-knowledge point matrix.According to the results of cognitive diagnosis,the students ’ knowledge points are analyzed and displayed intuitively with radar charts.Secondly,based on the results of cognitive diagnosis,the heterogeneity target is selected,and the K-means clustering algorithm is used to automatically group the students.The 48 students are divided into 8 groups to achieve the goal of ’ heterogeneity within the group and homogeneity between groups ’.This method makes the knowledge points of the group members have better matching,complementarity and balance.Finally,on this basis,the collaborative learning teaching design applying this grouping method is carried out and applied to the teaching practice of mathematics courses in Class 9 and Class 10 of Grade 7.Analyze the effectiveness of this grouping method from the comparison of pre-test and post-test academic performance and questionnaire survey.The test results show that the construction of a collaborative learning group based on cognitive diagnosis can effectively improve the complementarity of the knowledge structure of the group members,thereby improving the academic performance and improving the learning effect.The results of the questionnaire show that the students in the experimental group adapt well to the way of collaborative learning group,can effectively improve the learning participation,and have higher satisfaction with the grouping method of collaborative learning group. |