Research On The Cognitive Component Analysis Of Number Series Completion Problem And Its Diagnosis Application

Series completion problem is a subtest of many intelligence tests, which can offer the examinee'competence level by solving problems. The main purpose of this study is conjunct cognitive psychology and psychometrics as well as education, to understand how cognitive component influence the item difficulty of number series completion problem. Through cognitive component and its different level within item, to carry the diagnostic analysis on student's knowledge structure. The main material of this study is number series completion test and the subjects of this study are students which are from the fourth to the sixth grade primary school. In the study, we adopt multiple regression analysis and linear logistic latent trait model to understand how cognitive component and its different level influence the item difficulty of number series completion problem. The results show that:1. In the research of number series completion problem, the period length, the magnitude of number in operation, the demand of working memory, the category of arithmetic in operation, whether for mobile series, the same digit whether is close or not, whether there is fake figure between series, the complexity of the relation, these cognitive components are surely able to affect the item difficulty of number series completion test and to forecast the item difficulty of number series completion test.2. In the diagnostic study, it is found that for different students, their knowledge structure is different. Though they have the same score, the internal cognitive feature and the knowledge defect are different. Therefore, teachers should be use different teaching methods based on different student's knowledge structure, and take a remedial teaching to the students who have knowledge defect in a timely way.