Next is after class. Unlike other subjects, mathematics will be rusty if you don't practice for a day. The content of the day must be reviewed on the same day, otherwise it will be easy to forget after a long time, and it will be even more difficult to catch up. Review is mainly consolidated by doing problems, and there is no need to do it aimlessly. The most important thing is that the exercises assigned by the teacher must be completed. If you have enough mechanics, find extra-curricular problems to do, otherwise you don't have to be forced. The next day, when the teacher talks about the questions that he can't do, he must take notes, clear his mind, master them that day, and review them several times every few days until he remembers them. In the days before the exam, mathematics was still based on reading questions. The key is to look at the problems that you usually do wrong or can't do (usually pay attention to marking such problems with red pen) and remember the method of solving problems. If you want to do the problem, do the simulation problem of the nearest place. Those questions are generally more targeted. In short, it is still three words-unbreakable. Keep spending a little time on math every day, and you will certainly make progress. ?
Mathematics is a great challenge for students who are good at liberal arts and weak in science. But I always feel that most people still have more psychological problems. Because I was not good at math before, I lost confidence in math. If so, we might as well get into the habit of doing some problems every day, be familiar with some problems and cultivate the way of thinking in mathematics. More importantly, always say to yourself, "Hard work will always pay off. I spend most of my time on math, and my contribution will be in direct proportion to my income.
Second, the method of learning mathematics well
How to learn math well? This is a question that young friends often ask. My answer is: first, we should "understand", second, we should "practice" and third, we should "combine".
"Understanding" refers to understanding the meaning of mathematical concepts and the truth of mathematical laws and rules, mastering commonly used calculation formulas and problem-solving methods, and being able to use them flexibly. For example, after learning the concept of area unit, you can't just recite one sentence: "A square centimeter is a small square with a square of one centimeter." To understand the meaning of area through observation and comparison, learn to express how big a square centimeter is by hand.
"Practice" means purposeful and planned practice. Learning mathematics is not just about understanding, but also about doing. Some students are slow to do the questions, or do the wrong questions, not all sloppy, mainly because they don't practice enough. When practicing, we should grasp our weaknesses and constantly improve our ability to solve problems.
"Linking" means linking old and new knowledge, book knowledge and practical knowledge. For example, after learning how to calculate the area of a parallelogram, you need to cut the parallelogram into rectangles to calculate its area. After learning the percentage, you can contact pesticide preparations in rural areas, calculate the seed germination rate, and calculate the product qualification rate in cities.
Third, Hua Tan "How to Learn Mathematics Well" 2007-04- 18 22:45
On "How to Learn Mathematics Well"
Hua is a world-famous mathematician and a model of self-taught. Before his death, he was the director of the Institute of Mathematics of China Academy of Sciences, the chairman of the Chinese Mathematical Society, and the vice president of China University of Science and Technology. The following is the content of "How to Learn Mathematics Well" in a speech he gave to members of Guangdong Mathematical Society and middle school teachers in 1962. I believe this is instructive for students to learn mathematics well.
First, the basic operation should be familiar and fast.
Basic operation should be not only "good", but also 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".
Second, 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.
Third, to learn math well, you should not be afraid of calculation, and you must work it out in the end.
The development of objective things is becoming more and more complicated, and the requirements are becoming more and more accurate. If we make a mistake in the calculation of 100 times, then our score is not 99 but 0, because the answer is wrong! If it is a "satellite", it simply refuses to go to heaven. How to deal with "annoying" calculations? It is best to have some preparation first, including ideological and skilled operation skills. Everything should be based on objective needs, and if you are bored objectively, you are not afraid of being bored. If you are afraid of boredom subjectively, you will be disarmed ideologically, and the process of deep drilling will be difficult in the future. It is better to be fully prepared than to be disarmed. It is necessary to cultivate students' ability of not being bored and thinking deeply, and cultivate students' habit of liking calculation, not being bored and practicing frequently in operation.
When I say arithmetic, I also include symbolic operation, that is, logical reasoning.
Fourth, it is also important to learn the thinking process omitted from the book.
It is important to learn formal reasoning in books, and it is also important to learn thinking processes that are not in books. Learn from books first, and then ask your predecessors how to come to this conclusion. If you get used to it, you will have the initial foundation of invention.
5. To learn math well, you should practice it often, work hard and live.
Proficiency in the nature of numbers and shapes, basic operations and logical reasoning cannot be achieved only by temporary exercise, but by regular exercise. "Boxing never leaves the hand, singing never leaves the mouth", which is also called. Practice when you have the chance, practice often, practice well, practice to the degree of flexible use, and practice to the degree of innovation.
Not only should we practice regularly, but we should also practice hard and live a good life. Do you want to do the problem? Personally, I think it is better to do one thing in a planned and focused way. This is an exercise. The exercises in the book are more difficult. The exercises in math books must be solved by mathematics, and the exercises in chapter 5 in math books can generally be solved by the knowledge in chapter 5. This is an important hint and an important scope.
Therefore, it is beneficial to deal with practical problems in the future by doing some difficult problems and practicing ideas. Otherwise, those who can fit the formula will not, and such people have little ability to deal with practical problems. Practice hard when dealing with difficult problems, and practice hard until the goal is achieved.
You'd better ask a few more questions about live training.
Look at the circle and see what it can inspire. Why doesn't the teapot cover fall into the teapot? And the lid of the tea leaves can easily fall into the tea pot?
When you see a square brick, you can lay the floor. Are there any other forms of bricks? Like in space?
Why do water droplets become spherical when they see a ball?
Train your classmates step by step, don't despise the easy, and don't be afraid of the difficulties.