2. Summarize similar topics.
3. Collect your typical mistakes and problems you can't solve.
There are two important purposes to do the problem: one is to practice the knowledge points and skills learned in the actual problem. The other is to find out your own shortcomings and make up for them. This deficiency also includes two aspects, mistakes that are easy to make and contents that are completely unknown. However, the reality is that students only pursue the number of questions and deal with their homework hastily, rather than solving problems, let alone collecting mistakes. The reason why I suggest you collect your typical mistakes and problems that you can't do is because once you do, you will find that you used to think you had many small problems, but now you find this one is recurring; You thought you didn't understand many problems before, but now you find that these key points have not been solved.
My suggestion is: doing problems is like digging gold mines. Every wrong question is a gold mine. Only by digging and refining can we gain something.
(4) Ask and discuss questions that you don't understand.
Find problems you don't understand and actively ask others for advice. This is a very common truth. But this is what many students can't do. There may be two reasons: first, insufficient attention has been paid to this issue; Second, I'm sorry, I'm afraid of asking teachers to be trained and asking students to be looked down upon by them. With this mentality, you can't learn anything well. "Building a car behind closed doors" will only make your problems more and more. Knowledge itself is coherent, the previous knowledge is unclear, and it will be more difficult to understand later. When these problems accumulate to a certain extent, you will gradually lose interest in the subject. Until I can't keep up.
Discussion is a very good learning method. A difficult topic, after discussion with classmates, may get good inspiration and learn good methods and skills from each other. It should be noted that it is best to discuss with your classmates at the same level, and everyone can learn from each other.
My suggestion is that "diligence" is the foundation and "curiosity" is the key.
(5) Pay attention to the cultivation of actual combat (examination) experience.
Examination itself is a science. Some students usually get good grades. Teachers ask questions in class, and they can do anything. I can also do problems after class. But when it comes to the exam, the results are not ideal. There are two main reasons for this: first, the test mentality is not bad, and it is easy to be nervous; Second, the examination time is tight and it can never be completed within the specified time. Bad mentality, on the one hand, we should pay attention to our own adjustment, but at the same time we also need to exercise through large-scale examinations. Every exam, everyone should find a suitable adjustment method and gradually adapt to the rhythm of the exam with the passage of time. The problem of slow problem solving needs students to solve in their usual problem solving. Doing homework at ordinary times can limit time and gradually improve efficiency. In addition, in the actual exam, we should also consider the completion time of each part to avoid unnecessary panic.
My suggestion is: treat "homework" as an exam and "exam" as homework.
(6) Make clear the law of forgetting and grasp the opportunity of memory.
Forgetting speed is fast first and then slow.
The research shows that after 20 minutes, 1 hour, 8 hours, 24 hours, 2 days, 6 days and 1 month, the corresponding memory rates are 58%, 44%, 36%, 34%, 28%, 25% and 2 1% respectively. In other words, in a short time after memory, what we remember will soon be forgotten, and with the passage of time, the speed of forgetting is no longer so fast. In this way, we should know that it is not unreasonable for teachers to seriously "review in time" The more we review in time, the less we forget and the more precious time we save. For a lazy person like me, the less time I need to spend, the more fun I have. Of course, everyone's forgetting rules are different. Through simple experiments, we can sum up our forgetting rules at different times, and review and recall what we need to remember according to our forgetting rules, so that we can get twice the result with half the effort and not forget important things. It is unscientific and uneconomical to simply repeat memory over and over again. It is appropriate and efficient to review in time at the fastest stage of memory forgetting, such as reviewing regularly within a week, and then reviewing retroactively after forgetting clearly.
Scientific research shows that people have four orgasm memory points every day:
The first point is from six to seven in the morning. At this time, the brain has finished coding the information input the day before during sleep, and there is no interference from the materials before and after memorization, so the memorization impression is clear and the memory efficiency is high. The second point is from eight to ten in the morning. At this time, the energy is vigorous, the efficiency of memory materials is high, and the memory capacity is large. The third point is from 6 pm to 8 pm, and the fourth point is one or two hours before going to bed. We should make good use of these periods to study, which will get twice the result with half the effort.
My suggestion is: review in time, so as to review the old and learn the new.
Above, I give some suggestions on the problems that often appear in mathematics, but one thing to emphasize is that the most important thing of any method is effectiveness. Students must avoid formalization and pursue practical results in their study. Any exam is a test of people's minds, and it is by no means a test of whether everyone's notes are clear and whether the plan is comprehensive.