Learning methods and experience of advanced mathematics
. However, mathematics is very important for any liberal arts student. Some people compare mathematics to the lifeline of liberal arts students, while others say that mathematics and English largely determine the level of a liberal arts student, which is reasonable. Therefore, we must try our best to learn math well.
In my opinion, mathematics is actually a very wonderful and interesting science. As long as you have a pair of eyes that are good at discovering and dare to discover, you can find the charm of mathematics and become interested in it. Interest is the best teacher. If you are interested in mathematics and are determined to learn it well, how can you not learn it well?
Textbooks are very important for mathematics. Many of the problems we do are examples in textbooks or their "variants". As long as we spend a little time reading textbooks, we will easily get these questions; On the contrary, if some basic concepts and theorems are vague, not only will the basic problems lose points, but it is even more impossible to do the difficult problems well. Mathematics is very logical and analytical, which can be said to be a purely rational science, requiring clear thinking, so basic knowledge is very important, especially for students who are not particularly good at mathematics.
The following are some points that I personally think are very necessary in the process of mathematics learning:
1, step by step. Mathematics is an interlocking subject, and any link will affect the whole learning process. Therefore, don't be greedy when studying. You should pass the exam chapter by chapter, and don't leave questions that you don't understand or understand deeply easily.
2. Emphasize understanding. Concepts, theorems and formulas should be memorized on the basis of understanding. My experience is that every time I learn a new theorem, I try to do an example first, and see if I can use the new theorem correctly without looking at the answer. If not, compare the answers to deepen the understanding of the theorem.
3. Basic training. You can't learn mathematics without training. Usually do more exercises with moderate difficulty. Of course, don't fall into the misunderstanding of dead drilling. Familiar with the questions that are often tested, and the training should be targeted.
4. Mark the key points. When reading textbooks, you can use bright-colored strokes when you encounter good problem-solving methods or key contents, so that it will be clear at a glance in future review.
Finally, I want to talk about the exam-taking skills of mathematics. To sum up, it is "easy first, then difficult". We often have the experience that when we are sober-minded, some difficult problems will be easily solved; On the contrary, when the mind is confused, some simple questions will waste a lot of time. It is inevitable to encounter obstacles in the exam. There are two possibilities to stop. First, it took me a lot of effort to finally figure it out, but because I spent a lot of time, I either didn't have enough time to finish the problem, or I was worried that I didn't have enough time, so I couldn't even do the simple problem for a while. Second, it still hasn't been done. The result is not only a waste of time, but also the following questions are not finished. The easier it is, the more confident you are, the clearer your mind will always be, or you will eventually solve the problem, or at least ensure that you will not lose points on the questions you can do.