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What kind of knowledge does a senior high school math teacher need?
So, how should the textbook be read? From primary school to university, teachers should repeatedly emphasize the importance of textbooks, as well as the high number of postgraduate entrance examinations. Read not only, but also carefully over and over again. There may be some students who take the postgraduate entrance examination. I read the textbook carefully, but the result is still very poor. What's the problem? I want to say that textbooks are not only used for reading, but also for research. You didn't do well in the exam because you didn't study the textbook carefully!

So what is meticulous? When you finish learning the textbook, it will be marked with many things, and it will be messy, not brand-new as if you had never seen it. Many examples in the textbook are classics, so be sure to speak thoroughly. After-class exercises should also be done carefully, even if they are only done on toilet paper, you should also mark an answer in the book. Whenever you finish a chapter of exercises and find mistakes by comparing the answers, it is very important to quickly analyze the reasons for the mistakes. Some people say that there are too many exercises after class, so you should choose to do them, but I think the Tongji version of the exercises after class is very classic, far better than the reference books on the market, and not as simple as you think. Many exercises seem simple to you, but there are many problems in doing them. As for the definitions, axioms, theorems and formulas in the book, you must be handy. Find out a few points instead of memorizing them. For example, the word biggest has been known since high school, but do you know its definition? You might say, definition is useless! This is where you are wrong. When you feel that a problem is vague and you can't do it, definition is your fundamental starting point.