Research On Comprehensive Evaluation Methods For University Mathematic Classroom Teaching

By using connection mathematics, fuzzy mathematics and greymathematics methods handling the uncertainty of university mathematics classteaching evaluation, this paper puts forth three comprehensive evaluationmodels for university mathematics class teaching. These evaluation methods arenoted for their own characteristics, independence, feasibility and effectiveness,and they are both theoretically and practically valuable for the present reform inteaching evaluation.In Chapter 1 and the Chapter 2, the paper firstly analyzes the presentsituation of university mathematic class teaching evaluation and the relevantreferences, and states the necessity for the study of evaluation methods ofuniversity mathematic class teaching.Giving an index system for university mathematic class teaching evaluationregarding experts as evaluation subject, the paper determines in Chapter 3 theindex weights by means of analytic hierarchy process (AHP), and sets up acomprehensive evaluation model of university mathematics class teaching onthe basis of connection mathematics. In application the model is proved morereasonable and convenient than fuzzy mathematical model and attributemathematical model.In Chapter 4, considering the inaccuracy and incompleteness of information on which the class teaching evaluations are based, the paper sets up agrey-mathematics-based comprehensive university mathematics class teachingevaluation model and gives it a case analysis, resorting to an approach ofhierarchical grey evaluation and the index system and its weight with experts asevaluation subject, which is offered in Chapter 3. This evaluation approach turnsto be ideal and scientific with its merit of maximum use of basic data withoutfear of the loss of information, for its combination of qualitative and quantitativeapproaches, expert evaluation and scientific calculation.Finally, in Chapter 5, a table of university mathematics class teachingevaluation is analyzed to determine index weights by means of analytichierarchy process (AHP) for the purpose of building up a quantitative analysismodel based on fuzzy mathematics. This model is rather worth applying touniversity mathematics class teaching.