(a) preview, lectures, review, homework, problem solving and other aspects of the habit.
1, preview method
Preview is to read the upcoming math content before class, so as to have a good idea and grasp the initiative in class. Pay attention to the following points when previewing.
(1) Read and write.
(1) Reading, thinking and writing are generally used to draw out or mark the main points, levels and connections of the content, write down your own opinions or mark the places and problems that you don't understand;
(2) Once you find that you don't master the old knowledge well or even understand it, you should turn over the books in time and take measures to make up for it, so as to create conditions for learning new content smoothly.
(3) Understand the basic content of this lesson, that is, know what to talk about, what problems to solve, what methods to adopt, where the key points are, and so on.
Take out the chapters corresponding to a workbook and read them roughly to see which questions can be read at once and which questions can't be understood at all, and then go to class with questions.
(2) Determine the main points of the lecture. Grasping the main problems you want to solve can improve the efficiency of class.
2, the method of listening to lectures
(1) Keep an eye on the teacher. 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.
Step 3 review methods
After doing the above two links well, solve the existing knowledge defects and problems in time.
(1) Review notes and roll paper. Try to understand the content of learning and really understand and master it. We should not only review and remember what we have learned, but also think hard about how new knowledge is produced, how it is developed or proved, what its essence is, and how to expand and broaden it through application.
(2) Do the questions moderately. Prepare a mistake book, record the mistakes you have made and practice again. For the topic I did wrong, recall why and where I was wrong. Where I make mistakes is often my weakness. It is not enough to correct it for a while, but also to carry out appropriate intensive training.
4, the method of homework
Because the homework is done independently on the basis of review, you can check your mastery of the mathematics knowledge you have learned, examine your ability level, and find out the existing problems and difficulties. When there are many wrong questions, it often indicates that there are defects or problems in the understanding and mastery of knowledge, which should arouse vigilance and need to find out the reasons and solve them as soon as possible.
(1) Review before you do your homework. You need to review before you do your homework, and then do it on the basis of having a basic understanding and mastery of the textbooks you have learned. Otherwise, you will get twice the result with half the effort, take time and get the desired result.
(2) Must be done independently. Develop good habits, do your homework neatly, and pay attention to the problem-solving format. Writing norms. Homework must be done independently. High-quality homework can cultivate a sense of responsibility for independent thinking and correct problem solving.
(3) short time and high efficiency. Set a specific time during which nothing is allowed except doing homework. Loose thinking and unfocused work habits are harmful to improving math ability.
(4) Check carefully. Prepare a red pen, tick it correctly, do it again if it is different, check whether you have done it right or not, and ask teachers and classmates some questions that you can't or can't scream.