How to make yourself clear and organized in your mathematical thinking

Thinking confusion is generally caused by my own conditions in the environment, if you can go to climb the mountain during the holiday, you can look at the distance on the mountain, the green in the forest is a purifying effect on our eyes and my heart, when you go to work, you can choose to leave your troubles and take a deep breath and then close your eyes and think deeply, and then listen to a few light ** songs when you go home from work to reduce your pressure, when there are no worries and pressure, your thinking will naturally be clear......I hope it can help you, I wish you good luck to do more questions about misleading thinking and logical reasoning, before the operation, you must first list the outline (the first 5 times), and then directly list the outline in your heart, and after that, you must continue to practice, and you must reach 20 minutes to calculate the answer to the mental arithmetic. To train yourself to keep calm, in fact, the clear thinking is to let you do it boldly, hone in the sea of questions, and naturally have experience, and when you encounter it again, you will have ideas.

Serious without distractions. Do more questions to cultivate logical thinking, summarize the methods of doing questions, and you will not feel at a loss when the teacher talks about the problem, and you will have a clue if you know where to start with this question. It is also necessary to memorize words and ancient texts from time to time to exercise memory.

As long as you get through this difficult period, but it is undeniable that this way is very good for you to improve your concentration and memory of knowledge points (learn to interject). In particular, the example problems in the book must be understood, if it is homework forced to complete independently: before writing homework, you must also read what you have learned, but don't look at it when you do it, and you can turn this way of thinking into your own I don't know if you are a high school student or a college student, the teacher is basically similar or the same as the example problems in the book, I am from the Department of Mathematics of Sun Yat-sen University:

In fact, every time you get to a knowledge point, it will be flat and wide, but in the fine, there is a basic structure: do not do the topic is more, absolutely can not rely on the classroom, I think that the IQ is average, you must believe in your own intelligence, to the classroom to know which knowledge point the teacher is talking about, the more you do the smoother, so I have basically experienced your situation, not only remember it, don't be afraid of losing face).

2. This situation will occur. Mathematics is studied just like all other science subjects. Interjection is a real distraction for others.

So my suggestion is. Because I came up with it myself: before class, I must read what I am going to learn, and I must fully understand the questions I have done.

3. It's also worth the amount of time you spend. (I once spent two hours doing a problem that other people did in 20 minutes), and the wind was blowing.

Memorize and understand formula concepts.

Examples and exercises are consolidated and digested.

The amount of questions deepens the impression and draws inferences.

Summarize and review.

It's useless to be impatient, avoid being over-the-top (thinking too much), don't accumulate steps to thousands of miles, what you have to do now isSink your mindCome to the problem (if you are not familiar with the concept formula, read the book first and use the exercises after the book to consolidate), when you encounter an unfamiliar concept, open the book and gnaw it off, and digest it with the relevant exercises. When you reach a certain level of questions, then summarize and review the typical questions, easy to make mistakes, etc. (at this time, if the concept of the formula is still vague, then gnaw again), and then you will not have this problem in your head.

1. The homework must be done by yourself, so that you will concentrate in class, and you will not be very eager for the teacher's explanation

2.Don't rush to take notes when the teacher talks about the topic, just understand it, even if you think you have understood, when you do it again after class, you will find that you have no idea, because it is the teacher's idea that you have not yet absorbed.

3.You have to do a proper set of wrong questions, because if you don't solve a similar problem, you will make a mistake when you encounter one, in the wrong set you have to write down the idea of doing this question, why you will not do it right, don't repeat the similar question type, I memorized more than a dozen wrong question sets in high school, and I didn't have time to read it during the college entrance examination.

4.The formula must be familiar, even if you can't memorize the concept, but you must be able to use it, which is very important, when you see a problem, you have to know what formula to use.

5.If you can't do it yourself, don't keep holding on to it, ask your classmates or teachers, this method is better, if you are in high school, you don't have that much time to drill.

That's just my opinion, I hope it helps you.

Dabbling in some history of mathematics can foster interest.

Doing more practice can broaden your thinking.

Interest + practice, the only way to learn math well.

To learn mathematics well, you must first listen carefully in class, otherwise, you will not be able to do any problems, and you must do more problems, use your brains more, think more, be good at summarizing the types of questions, and ask teachers or classmates if you can't, and you must pay more attention in the process of listening to the teacher's problem solving, and learn the teacher's problem-solving ideas and methods. Of course, there is no only one solution to a problem, and after each problem, you should be good at thinking about other ways to solve the problem. In this way, your math score will improve a lot in the long term, because this is my own experience, and my math is not bad.

Finally, I would like to add: don't treat mathematics as a subject, you must have feelings for it, don't be in a passive state, and take the initiative to learn mathematics.

To be honest, there is no way to do math, the only way is to do more, keep doing exercises, and exercise your number sense. When you see a piece of math, it will feel different, and you will soon know what method to use to do it. Really do more

Listen carefully in class, listen carefully after school. That's it!!

One thing is important: do more questions. I hope you succeed in your studies!

If the conditions are met, the Lopida rule can be used, and the numerator and denominator are derivatives respectively, and the available limit is: 1+2+3+.n=n(n+1)/2

The symbol of the limit is not written, you add it yourself.

(x (n+1)-x) (x-1)-n) (x-1)=(x (n+1)-(n+1)x+n) (x 2-2x+1).

（n+1)x^n-(n-1))/(2x-2)=n(n+1)x^(n-1)/2=n(n+1)/2