Abstract
In the popularization course of higher education, students entering into the higher colleges are not those excellent students with excellent achievements in the senior school, so the teaching of college mathematics in higher colleges should transform from the learning emphasis to popularization emphasis for traditional excellent higher education. In the transformation process, as a main basic course for the students of the engineering course, the calculus has many problems in the teaching. Based on many years’ teaching practice and theoretic research, in this article, we first analyze the problems and antinomies faced by calculus teaching, demonstrate the feasibility of intuitive introduction method from the mathematical essential and the rule of human thinking, and finally explain the implementation method of the intuitive introduction combining with concrete teaching cases.
Highlights
Calculus is one of core courses of various specialties for engineering course appointed by State Education Commission of China, and it is one of the most important basic courses, and it relates with the learning of various professional courses, but has very important function to cultivate students’ cultural and thinking qualities, and every student should study it well
The calculus has many characters such as strictness, abstract and system, and it is much higher than the elementary mathematics whether for method or for objective, many students feel it is very difficult
Under the present popularization background of higher education, teachers should emphasize the intuitive of calculus and adopt intuitive introduction to make students deeply understand the concept, theorem, argument and solution, which could cultivate students’ study interests, enhance their study efficiencies and enhance the quality of calculus education to some extents
Summary
Calculus is one of core courses of various specialties for engineering course appointed by State Education Commission of China, and it is one of the most important basic courses, and it relates with the learning of various professional courses, but has very important function to cultivate students’ cultural and thinking qualities, and every student should study it well. The calculus has many characters such as strictness, abstract and system, and it is much higher than the elementary mathematics whether for method or for objective, many students feel it is very difficult.
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