What aspects of higher mathematics to cultivate students' ability

The teaching of higher mathematics should reflect the combination of mathematics and modern educational technology, reflect the application of mathematics, and should also pay attention to the cultivation of students' basic quality and mathematical ability. Abstraction often becomes an obstacle to their understanding, and excessive rigor is actually not necessary for their knowledge structure, which requires mathematics teachers to make the choice to keep pace with the times, the courage to break through the traditional teaching mode, the use of strategies to cultivate students' ability to apply advanced mathematics.

(1) Setting up mathematics courses according to professional needs, aiming at cultivating applied talents, taking enough as the principle of material, conducting in-depth professional research, obtaining professional demand information in time, constructing a real and dynamic module teaching optimization and integration system, and showing mathematical applications by selecting professional cases as much as possible, so as to pave the way for the succeeding professional courses. Dilute the strict form, people-oriented, give full consideration to the reality of the abstract ability of students, the acceptability of students as a positioning scale, do not pursue the strict argumentation of the verbatim, as far as possible, the use of easy-to-understand teaching language and the image of realistic dynamic demonstration to deduce the abstract mathematical content, to eliminate the fear of the students of mathematics, so that the students into the mathematical.

(2) The study of mathematics is not only the study of mathematics itself, but also the study of skills and methods of thought. The way to cultivate methods of thought and skills is to let students participate in mathematical activities, and only through participation can they feel, experience and discover, thus generating positive emotional experience, stimulating interest in learning and inducing creative inspiration. Therefore, the curriculum objectives of science should include knowledge and skills, process and method, emotion and value.

(3) The content of the math curriculum should be unique. Textbooks play a pivotal role in school education, are the most important resources for realizing curriculum objectives and implementing classroom teaching, and are an important carrier for students' development. The textbooks used in university mathematics courses should fully embody the principle of "application-oriented, necessary and sufficient". To overcome the problem of the difficulty of the current textbooks, with less time, so that students broaden their horizons, learn as much knowledge as possible, the learning ability to get the biggest improvement, to adapt to the profession, the job and the community's demand for highly skilled personnel. Therefore, to prepare closer to the actual, highlight the application, as simple as possible, popular and practical teaching materials.

(4) for the characteristics of each higher vocational college, combined with the actual specialty, in the higher teaching content to highlight the application of knowledge. For example, for the mathematical requirements of the profession is not high in the choice of derivatives, to the integration of various methods, especially in the derivative of binary functions, to weaken the abstract function of the relevant operations, the implicit function of the derivation formula and composite function derivatives, can be used to solve the derivative of a function, the focus of the course should be on the mastery of the calculation of the first-order derivatives of the basic methods to strengthen the application of derivatives to solve practical Application of the case of the problem. At the same time in the selection of cases and exercises to highlight the applicability. In the examples and exercises, students should choose those problems with practical application significance, and choose the application problems involving professional knowledge synchronized with their majors. Through the exercise of such problems, students can not only enhance the level of understanding and mastery of mathematical knowledge, improve problem solving ability, but also enhance the connection between mathematics and social life, improve the application ability and the ability to solve practical problems.

In the teaching of higher mathematics, teachers also need to change the concept of teaching, first of all, to strengthen the teachers' ability to apply mathematics, to strengthen the teaching of mathematical language, to improve the reading comprehension ability of students, to create vocational contexts, to revitalize classroom teaching, to carry out mathematical modeling activities, to cultivate the students' ability to apply mathematics, and to give full play to the value and role of mathematics in the solution of practical problems.