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Pupils learn mathematics and lay a good foundation in order to win the competition. What habits need to be cultivated?
Pupils learning mathematics, as long as they have determination, perseverance and confidence, will certainly be able to explore a set of learning methods suitable for them, and will certainly achieve ideal mathematics results. Pupils learn mathematics well and lay a solid foundation for winning future competition. The cultivation of the following five habits is key.

First of all, you need to preview carefully before class.

The continuity of mathematical knowledge is strong, the previous concepts are not understood, and the following courses cannot be learned. When students preview, they find that the concepts they have learned are not clear. If you are not clear, you must refer to the relevant content before class to make it clear, and strive to leave no problems after self-examination. Effective preview can improve the purpose and pertinence of learning new knowledge and improve the quality of learning.

Students need to think when previewing: What are the key and difficult points of this section? What are the meanings of concepts, theorems and formulas? What are the conditions? How to use the formula? In the process of preview, students need to write and do, and whether concepts are understood and methods are mastered can be tested through practice. The exercises in the math textbook are all aimed at consolidating the learned knowledge.

Second, the class needs to listen carefully.

It is helpful for students to master what they have learned in class. To improve the efficiency of classroom learning, it is very important to listen carefully in class. Some students feel that the teacher doesn't understand, so they just stop listening and learn in their own way. In fact, it is really stupid to do so, because it is very easy to get out of touch with students' learning progress without attending classes, which will directly lead to the decline of their test scores. Students must pay attention to the lecture during class, and don't open other problem sets to study. This is an efficient study and the fastest way to improve your grades.

In class, students need to concentrate, don't do actions unrelated to study, listen to the teacher's explanation and guidance carefully, grasp the growing point of new knowledge, connect old and new knowledge, and find out the ins and outs of formulas and laws. In class, students should listen carefully to other students' speeches and make comments and necessary supplements on others' opinions and answers. The problem is the core of mathematics. In the process of mathematics learning, it is necessary to cultivate students' study habits of independent inquiry, positive thinking and active questioning, so as to be willing to ask, dare to ask, like to ask and know how to ask.

Third, concentrate on finishing homework.

Completing homework is the most basic and frequent learning practice for students. The format of homework and the writing of numbers and mathematical symbols should be standardized. When students do their homework, they need to carefully examine the questions, calculate them carefully and check them in time. Students need to think independently and finish their homework independently. Don't compare formulas and results with others, let alone copy other people's homework. Frankly speaking, a small number of students didn't do their homework seriously, just copied it, but what are the benefits of dealing with teachers? Can you learn all the knowledge points? In the end, it is the students themselves who suffer in the examination room. Students need to develop the habit of solving problems on the same day and correct the bad habits of irregular writing and messy handwriting.

Fourth, cultivate good thinking.

When learning mathematics, students need to be good at solving multiple problems and changing one problem, and try more mathematical activities such as guessing, association, divergent thinking, reasoning, operation, experiment, observation and discussion. Students need to think and solve problems from multiple angles and cultivate multi-directional and flexible thinking. Strengthen the independence of learning and maintain due curiosity. Students need to enhance their awareness of problems, pay attention to finding and asking questions, be creative and be brave enough to get rid of the shackles of habitual thinking.

Fifth, be good at cooperative learning

In mathematics learning, students need to carry out cooperative learning activities in the form of preview before class, cooperative experiment in class, cooperative operation, deskmate discussion and group communication. Students should actively participate, learn to express their own views and opinions, learn to listen to others' speeches, learn to judge others' views, and learn to accept others' opinions. Every cooperative study, we should actively participate and gradually form a habit.

Good math study habits can't be developed overnight. Only by persistently cultivating good math study habits can we cultivate good math quality.