Reflections on learning advanced mathematics

Reflections on learning advanced mathematics I think we should start with the following aspects: 1. Get rid of psychological barriers. Some students don't understand advanced mathematics, which I think is a psychological obstacle. Most of these students don't understand mathematics in high school, so they lost their self-confidence at the beginning and thought they couldn't learn advanced mathematics. If you ask me, it's a kind of fear. Therefore, to overcome the difficulty of learning advanced mathematics, we must first overcome our own psychology. How to overcome this kind of psychology? I think the first thing is to regain our confidence. When we encounter a difficult math problem, after repeated thinking, we still have no way to start. At this time, don't lie. At this time, you might as well close your eyes, take a breath silently and say to yourself, I can do it. This may stimulate your thinking and activate your inspiration. What about the psychology of other students who can't learn advanced mathematics well? I think these students are mainly unprofessional, that is, they don't do math problems wholeheartedly, but turn to other things, so some ideas or inspirations will disappear with them. At this time, they may have some conceited psychology and think that they are not the material for learning advanced mathematics. This is another sign of lack of confidence. So to learn advanced mathematics well, I think the first point is to have confidence and concentrate on thinking. This is the basis of learning advanced mathematics well. Second, pay attention to skills and empathize. Sometimes we can't do anything when we encounter problems. At this time, we might as well look at it from another angle and maybe find a breakthrough from the other side. Let me give you an example to illustrate the empathy I advocate. As we all know, in war, we pay attention to strategy. Now I assume that there is a castle in front of us. Is it to surround it and trap people inside? No, this is also a consumption of our food and grass. In other words, we are trapped by ourselves. Besides, time is money. We have no time to wait for its self-destruction. If their reserves are all accumulated, do we have to wait all our lives? At this time, the most important thing is that we try our best to break him. We can attack him from underground. We can also win them psychologically, distract their morale and so on. And the math problem we are facing now is this castle, which we can't break. We might as well turn around and think about it, or take a step back. Maybe this problem is not as difficult as we thought, or we can put it down first and look at the formulas we have learned. Theorem. Some methods can be used to achieve the breakthrough of this problem from the thoughts of ancient philosophers. Whenever we successfully solve a problem, I think everyone will have a sense of satisfaction. I feel the same way, but are we so satisfied? Why don't we stop thinking about this problem? Maybe there are other ways to solve it. It takes a lot of time, but the effect is different. It can activate our thinking, so that we won't be blocked next time we encounter problems. Also, sometimes when we do a problem, we find that the steps are too complicated. At this time, we may think too much, and maybe the problem is not so complicated. We took a detour. At this time, if you check from the beginning, there may be better and simpler steps. This is a skill that should be paid attention to in learning advanced mathematics. Paying attention to skills and empathy mentioned above is also very important for learning advanced mathematics. Third, pay attention to the application in practice. In fact, mathematics is everywhere in our lives. Our sages proposed it hundreds of years ago. I think the third rule of learning advanced mathematics well is to find mathematics in real life. This can deepen our knowledge and understanding of mathematics. When it comes to understanding, everyone must think it is ridiculous. We have been studying math all day. Don't we know? If I have to say yes, we study mathematics because we have learned its essence. If we don't apply it to real life, we can't know it. It is not a good statement that theory will eventually return to practice. If it is to be applied to practice, most people think of climbing in life with a pen and playing with toilet paper. After all, it is not so difficult to apply it to real life. We don't need it. As long as we can find the mathematics in life and figure out its mathematical principles. Just use your head to get it done. So in real life, it is found that mathematics is another good way to learn advanced mathematics. Stimulate the interest in learning advanced mathematics and improve the interest in learning advanced mathematics. I think most people who can't learn advanced mathematics will say that they are not interested in learning advanced mathematics. Learning advanced mathematics is really boring. There is nothing but X, Y, Z, Y and Z, and there is no chivalrous tenderness in martial arts novels at all. There is no love in romance novels, and there is no horror in science fiction movies. Therefore, I also find it boring to learn advanced mathematics. Especially sitting on a stool for two hours and listening to the professor's explanation is more like reading a sealed book. Having said that, my interest in learning advanced mathematics was aroused by myself. Take me for example, I'm not good at math. I was criticized by my teachers and classmates. Especially one thing that hit me and changed me. It was the final sprint of senior three. One day, the math teacher wrote a question on the blackboard and gave us five minutes to answer, but I didn't have any idea. Time goes by. I began to lie, which upset my only original thoughts. You know, our school there is very strict with students. I turned to look at my deskmate. As a result, he buried his head in the ocean of problems and ignored me at all. Only then can I know how shameful it is to learn math badly. I didn't finish the problem in the last five minutes, and the result can be imagined. Afterwards, I used several methods to do the problem, and our teacher only used one method. After reading my little experience, I think everyone must have ideas. So I think there are two ways to stimulate the interest in learning advanced mathematics: one is to compare with each other in the process of learning advanced mathematics. Both methods are very useful. I hope everyone can give it a try. 5. Listen carefully in class and preview before and after class. I think everyone knows this very well, so I won't say much here, otherwise someone will sigh. I just want to say one thing. Listen to the essence of the professor and take notes in math class. So you can hear the essence. You can also take time to finish your homework in class. 6. Communicate and learn advanced mathematics. The communication mentioned here is not limited to classmates, but also to teachers. As for the exchange of advanced mathematics, it is not necessary to find good students. In fact, students who study late sometimes have a good learning style and their knowledge is not valued and cultivated. So don't underestimate anyone. When I say advocating the exchange of ideas, I don't mean taking a notebook to a formal lecture, I just talk about it in my usual conversation and chat. As long as I pay attention, I can easily gain other people's experience. This is what I have always cared about, and I care about everything. Of the six suggestions I mentioned above, I can learn advanced mathematics as long as I do one, four and five, and you can realize your dream as long as you pay a little attention to the remaining two or three. In fact, it doesn't take long to learn advanced mathematics well. Take me for example, I only study advanced mathematics in class and seldom pick up advanced mathematics books. Finally, I sincerely wish you a new exhibition step by step in your future study. If you think it will help you, please adopt me ~ ~ Thank you.