1, basic operation

Be familiar with the basic operation and be quick. Basic operation should not only "know", but also be familiar and fast. This requirement is not only for the present quality, but more importantly, to ensure the progress and quality of further study, so that it can be used freely. We should oppose the idea of "knowing you can, but you can do less practice".

2. Do exercises as much as possible.

In order to achieve the situation that practice makes perfect, we should do as many exercises as possible. Don't think it's a waste of time to do more exercise, but it's a waste of time to do less exercise! Not proficient in arithmetic. When doing algebra problems, arithmetic is used everywhere, and every basic operation is slower than others, so the time for doing algebra problems is naturally much more than those who are good at arithmetic.

Moreover, if a person is familiar with arithmetic, when listening to the teacher's further lecture, he will quickly accept some deduction parts related to previous knowledge, as long as he only listens to the main points of this lesson.

And unskilled people must listen carefully and think carefully at every step, so that although they make their nerves very nervous and tired, they still can't grasp the main points. In other words, a skilled person only adds one or two new things to his existing knowledge, while an unskilled person is bound to be passive everywhere, adding a lot of things, and of course, he can't string them together.

3. avoid being too arrogant.

Mathematics is a knowledge of integrating theory with practice. Knowing and understanding the basic theoretical concepts is only the premise of learning mathematics well, and the ultimate goal is to apply them to practical operation or to our daily life. Therefore, we should be diligent in doing problems and resolutely avoid the learning attitude of condescending. "Practice is the only criterion for testing truth", and mathematics is no exception!

4. Four modes of thinking

Four thinking systems of mathematical system: combination of numbers and shapes, functional thinking, classified discussion and equation thinking. In the process of learning mathematics, we should organically combine the known quantity with the unknown quantity, and express the known numerical value in the form of functions and equations. In the case of unknown uncertainty, it is necessary to discuss the specific situation and analyze the answers to the questions in different situations.