| After the universities recruit more students than past years,the long-existing contradiction between supply and demand of higher education has been alleviated to a certain extent.It is,however,an undisputed fact that a decline in the quality of students comes with the higher and higher enrolment.As one of the main foundational courses in colleges and a kind of precise scientific language adopted by many subjects,higher mathematics plays an important part in students' study of their subsequent courses and the development of their thinking quality.During the process of higher mathematics teaching,teachers are confronted with a lot of problems,in which the most prominent one is both students' interest and grades are on the decline.This problem was caused by many factors,one of which is the iguorance of students' various desire for different teaching methods and content.Base on the hierarchical teaching practice of higher mathematics in our university in the past two years,this paper puts forward a teaching model with hierarchy in course arrangement,different ranks in evaluation system, self-directed decision of learning content and reasonable evaluation.As an important part of the model,the reasonable evaluation can be developed by a system for evaluation of students' learning process,a system for evaluation of students' emotion and attitudes,and a system for evaluation of students' basic math skills.Furthermore,by applying the fuzzy synthetic evaluating theory,a mathematical model of evaluating system can be set up and then the model for evaluating students' performance can be founded. |