Why do you think you can t learn advanced math?

In your case, I remember that I was like this from junior high school to my first year of high school, but my grades always felt like they were a big step behind the level, and I don't know why. Later, in the second year of high school, mathematics changed teachers, and as soon as I came up, I said: The essence of mathematics is thought.

Later, I thought, since I have tried so hard to get better, then I will not do two endlessly, to ** the essence of mathematics, since the two words of thought are the bottom of the heart, it means that mathematics should be a matter of the brain, or in other words, learning mathematics should focus on the matter of the brain. Further, I make an inference: what about the mind in **?

It must be in the title! If there is no idea in the question, then it is not my problem that I can't learn mathematics well, but the education system does not want me to master mathematical ideas at all, and this is impossible! Thus, the law of counter-evidence is introduced:

The idea is in the title! Then it's about how to find ideas. But once the action of searching for this is mentioned, then it must be physical work, i.e.:

Keep trying, digging into the possible implications of the topic, this thing may be thought, or it may be something else, but when a dead horse is a live horse doctor, just do it. In retrospect, this behavior was actually called reflection! The essence of reflection is self-education, self-criticism!

But this direction has been solved, and my original thinking has not improved. What to do? Remember!

That's right, it's about remembering the problem and the key steps in the process of solving it. Later, when I remembered more, the natural feeling came out, and that mathematical thinking pattern was formed. (However, I don't know if it's okay to simply memorize the questions, I will naturally remember it after pondering it repeatedly, and I don't go to rote memorization like the liberal arts) Later, I studied mathematics (that is, the professional courses of the mathematics department), which is more pure, that is, reading books and doing questions and reflections, and then reading books and doing problems again, and then reflecting ......Over and over again, you will find that the learning process has become patterned, and there is no need to aimlessly ponder it as before.

If you feel that you can't learn well, then you have to find the reason yourself. Have you corrected the wrong questions, analyzed the reasons for the mistakes, grasped the wrong questions, grasped the fundamentals of mathematics learning, found the same type of questions, reviewed the learning content of the week again every weekend, and repeatedly experienced the wrong questions, etc., etc., mathematics needs to be active rather than passively accepted, not to mention rote memorization.

As we all know, interest is the best teacher for children, if we are interested in something, we will find a way to figure it out, just like I am interested in Japanese, I will dive into learning it as a pinyin fifty-syllable diagram, studying its grammatical structure, so now for Japanese, I am also a beginner. Therefore, if the child does not have a high enthusiasm for learning mathematics, he will even have a disgust with it, and there are such people in my classmates who don't like mathematics at all, so it has become his daily routine in mathematics class, so it is difficult for his grades to have a qualitative improvement and leap.

Thinking inertia is wrong, I once took a math test once a single digit, I think the calculated answer and the consistency in the options should be right, the result is all wrong, the problem is the starting point of thinking is wrong, this is by no means the sea of questions can be solved, it must be that we have a problem in the basic steps and formulas of thinking, the more we go, the more we go, it is recommended to make up for it from the foundation, at least get more points for multiple choice questions.

Because I haven't felt the beauty of mathematics yet, I haven't figured out many of the problems yet. Although I have always been in favor of the tactics of the sea of questions, it is indeed effective, there are so many knowledge points in mathematics, and many questions are repeated, which is nothing more than a change of soup and not a change of medicine. If you do more problems, you will always encounter similar routines, and you will do it as soon as you change the numbers, so it is very important to learn mathematics to do problems.

Be sure to pay attention to accumulating mistakes. Many students make the same type of mistake many times in their studies, and they will make mistakes again the next time they do a problem many times, is this kind of learning meaningful? Only when we make fewer and fewer mistakes, can our grades get better and better, so we must pay attention to the summary and accumulation of mistakes in our usual study, accumulate the wrong questions together, analyze the reasons for mistakes, find the correct ideas and methods for solving problems, and continue to review and consolidate, and strive for the same mistakes not to appear a second time.

If you're not interested in math, you haven't found it yet. You should find a professional teacher to cultivate your child's interest, so that he feels that solving math problems is a very fulfilling thing, so that with the feedback of learning, over time, the child will find that math is his self-confidence.

As we all know, mathematics is a coherent subject, from equations in elementary school to set functions in middle school, to derivatives and elliptic curves in high school, to linear algebra and calculus in college. Don't look at the big difference between them, in fact, if we observe carefully, we will find that in fact, mathematics is a step-by-step subject, so it is also decided that if we don't lay a good foundation, it will be difficult for us to learn good mathematics.

I'm not talking big about it, but I think advanced mathematics is easy to learn, really.

Higher mathematics is contextual, and it is gradual from the first chapter to the last. Get the concept straight. Of course, it's impossible to understand it all.

I want you to memorize this, that is, to give you a question, you have to know what method to use to do it, what concepts to use. Maybe the second one is a bit difficult, if you are coping with the final exam of the university, then do the homework assigned by the teacher and the example questions in the book once or twice, and it is no problem at all to pass the test.

Learning this thing has always been that everyone has their own method, and everyone has a way that is suitable for everyone. However, there are always some objective laws that no one can violate, and anyone must follow. In fact, everyone understands some of the truths, so the truth is not to understand, but to practice them in a down-to-earth manner!

You have to do the questions, you have to do more questions, you have to do the questions often! It's not enough to just do math problems, but it's definitely not good to learn math without doing problems! Therefore, to learn advanced mathematics, you must do more questions.

In particular, there are some chapters that require a lot of exercises to lay a solid foundation, such as indefinite integrals, derivatives of implicit functions, multivariate integrals, ordinary differential equations, and finding limits.

But if you just brush up on the questions more, it will inevitably become a sea of questions tactic. What is the Sea of Questions? Doing a lot of questions is not the same as a sea of questions tactics, blindly doing a lot of questions without summarizing and never sorting out knowledge is the sea of questions tactics.

In the early stage, you must do more questions, because if you don't do the questions, you will not be familiar with the knowledge at all.

In the later stage, you can do a little less questions, pay attention to retaining and analyzing typical questions. Because there are so many questions in the early stage, you must have a certain understanding and clarity of a certain part of knowledge or question type in your heart, so you should calm down in the later stage and spend half of your time to sort out the knowledge and make a summary.

In fact, calculus is a more complex operation rule than addition, subtraction, multiplication and division, which is physically used to characterize the instantaneous rate of change.

The first part is the limit, memorize the Taylor formula, and master the basic limit operation rules, the limit is a research tool.

The second part is unary differentiation, which is actually the derivative of high school, but here it is defined in detail with limits, and this chapter learns the derivatives of various functions (composite functions, inverse functions, implicit functions, piecewise functions), and the difficulty lies in the median value theorem.

The third part is the unary integral, that is, the inverse operation of the differentiation, memorize the integral table, learn all kinds of differential methods, commutation methods, partial integration methods, etc., and then learn definite integrals, abnormal integrals, variable limit integrals, and finally some proof of integral equations and integral inequalities, which is almost the same.

The fifth part of the fourth part is obvious, it is multivariate differentiation and multivariate integration, in fact, there is an additional derivative and integration rule, multivariate partial derivation is to find a derivative of an independent variable, all other independent variables are regarded as constants, what about integrals? That is, draw the integration region, determine the upper and lower bounds, and which independent variable to integrate first.

Finally, you may have to learn some differential equations, that is, equations containing differentials, that is, various types of problems, variables can be separated, homogeneous, first-order linear, reducible, higher-order linearity, higher-order nonlinearity, etc., are all summarized formulas, memorized and done more questions to be proficient.

The difficulty of the whole high number is in the application of the median value theorem and the unary integral, in fact, the difficulty of a discipline mainly depends on whether the person who learns has a spirit of perseverance, and the discipline itself has nothing to do with it.

This problem varies from person to person, and in general, it is the same for other disciplines, and there are thousands of reasons why you can't learn well, and there are generally the following situations:

1.The learning attitude is not correct enough.

2.Lack of training.

3.Didn't find the right way.

IQ factors are almost not considered, generally speaking, everyone's IQ will not be too bad, mainly acquired training, learning anything is the same, endure loneliness, concentrate on studying, it is impossible for you not to succeed.

First of all, due to the different learning environments of higher mathematics, if it is really in the environment of middle school, the effect may be better, and secondly, there is a certain degree of difficulty in advanced mathematics, so it is necessary to learn methods and memorize models.

Learn the knowledge points first, and then do more questions.

If you feel that you don't learn well and don't have ideas when you get the questions, then you still don't do enough questions.

Solution: You can do the example questions in the book several times, and then do the practice questions after class, or you can buy some tutorial materials. As the saying goes, see more, see more, see more, and the idea comes.

If you haven't studied high school, it will be difficult to learn high mathematics.