Constructing the Training Mode of Systematic Thinking and Realizing the Educational Values of Higher Mathematics

Under the background of popularization of higher education, more and more college students who are not good at reading enter local colleges. These college students are characterized with high reading enthusiasm but poor learning methods. They can earnestly complete the tasks assigned by teachers, however, they can not be flexible to solve problems with slight changes. And after graduating from college, they often cant solve the life problems well, and therefore fall into a life predicament. In the face of these college students, if the higher mathematics teachers can give proper guidance to enable them to master scientific learning methods and thinking methods while completing classroom knowledge teaching, the higher mathematics teachers will greatly promote the growth of college students and contribute to the development of local colleges and the social stability. However, most local colleges at present still adopt the indoctrination teaching mode in higher mathematics teaching which pays attention to knowledge teaching, and ignores the hidden educational value of knowledge and the guidance of learning methods and thinking methods. Facing this teaching malpractice in local colleges, the paper attempts to explore an effective way to realize knowledge mastery and educational value simultaneously. First of all, according to the reality of college students, the paper puts forward the higher mathematics teaching goal which is to realize the educational value of rational thinking exercise, humanistic spirit training and innovation awareness stimulation through the training of three thinking modes. Secondly, the paper presents four effective ways such as learning objectives, studying methods, teaching modes and evaluation methods to realize the above educational values.