First of all, we must listen carefully. At that time, our math teacher liked to write on the blackboard while talking about courseware. There were many books on the blackboard every time, but I didn't think it was necessary to copy them all, or even not. Some people's math books are full of notes, which I think is quite strange, as long as you know these things. And how to understand it depends on your listening carefully. Teachers' thinking takes students into account, and sometimes they are slow. At this time, you should seize the opportunity to understand what he is saying. Remember, you should follow the teacher's thoughts closely. If sometimes you can't understand it too quickly, remember to make it clear after class, either surf the Internet or ask the teacher.
Then, mathematics is more than just knowing formulas. You have to understand how these formulas come from and have more ideas than others. Many people think that this understanding is just that I can put the formula into the question and use it, but it is not. For example, I heard a speech by Professor Luo Boshen of Carnegie Mellon University in the United States, which had a profound impact on me. In class, the professor wrote the formulas for calculating geometric volumes such as cones, cylinders and pyramids on the blackboard and asked us if we had learned them. Of course, we feel that these formulas are already familiar, and there is nothing to do. But when the professor asked us how these formulas were derived, we found that no one could accurately tell the principles of these formulas, such as why the volume in front of the cone is 1/3, why the volume in front of the pyramid is 1/3 and so on.
How do junior middle school students learn mathematics (1) and attend classes? In addition to the clear tasks in the preview, we should also solve our own problems in a targeted manner and keep up with the teacher's lectures, such as how the theorem was discovered or produced, how the idea of proof was worked out, and what key places need to be broken through. How to use formulas and theorems? Many mathematicians emphasize that "we should not only see what is written in the book, but also see what is behind it."
(2) Dare to speak. When listening to the class, on the one hand, we should understand what the teacher said, think or answer the questions raised by the teacher, on the other hand, we should think independently. If you have any questions or new problems, you should be brave enough to put forward your own opinions.
(3) take notes. Write down the main points, supplementary contents and methods of the teacher's lecture in class.