Cultivate the ability to live independently, think independently, analyze and solve problems independently, and form a good start.
2. Pay attention to the differences and connections between middle school mathematics and calculus.
The center of middle school mathematics curriculum is the transformation from concrete mathematics to conceptual mathematics. The purpose of middle school mathematics course is to prepare for college calculus. Learning mathematics always goes through a gradual process from concrete to abstract and from special to general. From numbers to symbols, that is, the names of variables; The relationship from symbols to functions, that is, the relationship between objects represented by symbols. The first thing calculus should do is to help students develop the concept of function-the expression of the relationship between variables. This promotes students' understanding from counting variables, from description to proof, from specific situations to general equations, and begins to understand the power of mathematical symbols. But the main content of calculus is calculus, which inherits the training of middle school, and the two are inextricably linked.
3. Adapt to the teaching characteristics of calculus as soon as possible.
In order to adapt to the teaching reform of calculus course in 2 1 century, the teaching of calculus course has also undergone great changes. On the basis of traditional teaching methods, more concrete and visualized modern educational technology is adopted, which is not available in ordinary middle schools. Therefore, we should not only pay attention to the difference and connection between the content of calculus course and middle school mathematics, but also adapt to the new teaching characteristics of calculus course as soon as possible. Seriously study the first calculus class and do it in strict accordance with the teacher's requirements. If we can persist in previewing before class, listening to lectures in class, reviewing after class, finishing homework carefully, summing up what we have learned after class and deepening our understanding of what we have learned, we can master what we have learned and learn calculus well. Some students just don't grasp themselves. They saw that the content of calculus was very similar to that learned in middle school at first, so they took it lightly and thought it would be good to have a look. They either didn't go to class or didn't finish their homework. As a result, I didn't understand the following chapters, and even some students couldn't keep up, and their grades were not ideal or even failed.