Mathematics is a multi-functional subject, which is very logical and systematic. There should be more scientific learning methods to learn and master mathematics knowledge. If the method is right, you can "hard work pays off" and get twice the result with half the effort; If the method is wrong, it will be "thankless" and get twice the result with half the effort. If learning is effective, the more you learn, the greater your interest; If your academic performance is always low, you will gradually lose your confidence in learning. Whether to master more scientific learning methods is the key to learning success or failure. Especially in the new learning stage, with the increase of learning subjects and the acceleration of learning rhythm, it is necessary to adjust learning methods in time to meet the learning requirements of the new stage. Otherwise, you will fall behind and fall behind. We should learn to manage our own learning and master more scientific learning methods. Combined with many years of teaching experience, we believe that a more scientific learning method is mainly embodied in the following five basic links.

First, preview before class and take the initiative to attend classes.

"Everything is established in advance, and if it is not planned, it will be abolished." Classroom is a battlefield, learning is a war, and you can't fight an unprepared battle. If you have a math class the next day, you should be fully prepared on the first day. On the one hand, we should read through the relevant contents in the textbook to see what we know and what we have learned; What you don't understand is new knowledge that can only be understood through the teacher's explanation. Mark the parts you don't understand, do preliminary thinking and put forward the problems that need to be solved. On the other hand, you should do the exercises at the back of the textbook for the first time, and the questions you can't do should be marked and brought to class to solve. Doing so will enhance the purpose of attending classes, master the initiative of attending classes and improve the effect of attending classes. Long-term adherence to preview can also cultivate the habit of reading and form the ability of self-study.

2. Listen carefully in class and take notes.

You should enter the state in advance in class. The quality of preparation before class directly affects the effect of listening to lectures. Before the formal class bell rings and the teacher walks into the classroom, you should put the relevant textbooks (including notebooks and exercise books) and stationery on the desktop in advance and wait for the teacher to arrive. Don't expect the teacher to stand on the podium and wait for everyone to slowly rummage through the closet, looking for this and that. When teachers enter the classroom, they should take the problems that need to be solved in the preview process and concentrate on listening. We should also master the rules of teachers' lectures, pay attention to the particles of teachers' lectures, think positively and answer teachers' questions enthusiastically. Especially in class exercises and homework, we should strive to answer quickly and accurately. We should also grasp the main points of the teacher's lecture, take class notes and write down the main points, key points, difficulties, keys and typical examples of the teacher's lecture. There are still some questions that you don't understand, so that you can continue your study after class or ask a teacher for guidance.

3. Review in time and turn knowledge into skills.

Review is an important part in the learning process. When reviewing, you should read the textbook again, recall what you learned that day, recall the process of the teacher's lecture, reproduce what you learned in class, read the examples that the teacher said (these examples usually have a strong inspiration and demonstration effect on completing the homework), and understand and remember the basic definitions, theorems, formulas and rules (these are all knowledge points that must be mastered). Reviewing in time on the same day can reduce knowledge forgetting and make it easy to consolidate and remember. Regular review can systematize knowledge, deepen the understanding of knowledge and master the relationship between knowledge. At the same time, only systematic knowledge is beneficial to application, the transition from knowledge to skills and the mastery of updated knowledge. Review should be planned, not only to review the lessons of the day in time, but also to review all stages in time.

4. Seriously finish homework, form skills and skills, and improve the ability to analyze and solve problems.

Academician Yang Le answered the question of how middle school students learn mathematics well in three sentences: First, practice more on the basis of understanding, second, accumulate more on the basis of understanding, and third, step by step. The exercise here is to do the problem and finish the homework. Homework is the main means to practice using knowledge. Be sure to review your homework first. In addition to requiring independent completion of homework and opposing plagiarism, homework must also be written neatly and in a standardized format. Read and copy the questions carefully. If you copy the questions carefully, you can hone your will and examine the meaning of the questions. In the learning stage of the new lesson, copying questions is not an unnecessary burden, and you can't be lazy to copy questions on the pretext of taking up time. You should examine the questions before you answer them, and the answers should be correct. Check homework, reduce unnecessary mistakes and lose points, ensure the quality of homework, and form a good habit of being serious and responsible. Through homework practice, we can deepen our understanding of knowledge, consolidate what we have learned, form skills and skills, and cultivate our ability to analyze and solve problems. Homework should be handed in on time, and on the basis of independent completion on time, it should be correct, neat and rapid. All the mistakes pointed out by the teacher when correcting must be understood in time and corrected seriously. At the same time, multiple solutions to one problem are allowed, independent thinking is advocated, and creativity is encouraged.

5. Summarize in time and organize and systematize what you have learned.

After learning a topic or a chapter, you should make a summary in time. Summing up is to sort out the relevant knowledge of each topic and chapter, compare similarities and differences, find mutual connections, and extract substantive things, such as definitions, theorems, formulas, laws and so on. Summarize with concise words or make it organized and systematic with charts. The second sentence of Academician Yang Le's Introduction to Learning Methods requires "accumulating more on the basis of understanding". This materialized and systematic process is actually a process of accumulation, which can not only deepen the understanding of knowledge, but also promote the accumulation and memory of knowledge. There should be a summary at the end of each topic and a systematic summary at the end of each stage. When summing up, in addition to summing up what you have learned, you can also write down the associations, conjectures and discoveries inspired by relevant knowledge for further thinking and research. You can also sum up your own experience, experience, experience and lessons in learning methods. Especially after the half-term and semester exams, it is more necessary to summarize the learning methods in combination with the results of various subjects, and make the next stage of learning plan on this basis. At this time, experienced teachers will also organize students to communicate with each other, learn from each other's strengths, constantly adjust and improve, constantly improve their learning methods, and gradually learn to manage their own learning scientifically, so as to learn easily and effectively and constantly improve their academic performance.

The above five links are interrelated and influence each other. The degree of implementation of each link is directly related to the progress and effect of the next link. Be sure to preview before listening, review before homework, and often make a stage summary. When you come home from school every day, you should review your homework for the day, finish your homework for the next day, and then preview your homework for the next day. These three things are indispensable. Otherwise, there will be no guarantee of high-quality lectures the next day.

This is true of learning mathematics, and it is also true of learning other subjects.