If you only remember a problem without thinking carefully about how each step of it is worked out, it is useless to do more problems, but it will waste a lot of time. My usual practice is to listen carefully in class first, and I don't need to write down every question the teacher says (it takes a lot of time to review). As long as I already know the topic and have the same solution as the teacher, I don't need to remember it. The key is to remember the topics you don't understand or you already know, but the teacher's method is easier. Pay attention to the method when writing. It's best not to write it down at the same time when the teacher is talking, which may miss some ideas that the teacher can't write. Teacher Tang Jiangjin, who taught me mathematics, especially emphasized the need to master the problem-solving ideas of mathematics. He doesn't advocate us to do some complicated extracurricular exercises casually, but only asks us to do the problems assigned by him well. In class, he often leaves some time for us to take notes after finishing a topic, so that we can listen and remember correctly. In this way, we not only saved a lot of time, but also mastered many effective problem-solving methods. 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 liberal arts students. 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. Most of my time is spent on mathematics, and my contribution will definitely be proportional to my income. " Edgar faure, a well-known social activist and Director-General of UNESCO, pointed out in his book Learn to Live that the future illiteracy not only refers to those who can't read, but also includes those who can't learn. Bill Gates, president of Microsoft, also said: In the future world, wealth first depends on people's ability to learn and innovate ... For those who have the ability to learn and innovate, the new era is a world full of opportunities and hopes. The words of these two famous figures tell us that with the coming of the information age in 2 1 century, the ability of learning and innovation will become the most important condition for people's survival and development. Today's middle school students will show their talents in the 2 1 century. In order to meet the challenge of 2 1 century, we should not only improve our scientific knowledge, but also learn the methods of learning and research step by step to improve our learning and innovation ability. Mathematics is one of the most important subjects in the middle school curriculum. Learning mathematics well is a problem that most students are very concerned about. So how can we learn math well? First of all, you should be interested in learning mathematics. More than 2,000 years ago, Confucius said, "Knowing is not as good as being kind, and being kind is not as good as being happy." The "good" and "happy" here are willing to learn, love learning and have interest in learning. Einstein, a world-famous great scientist and founder of the theory of relativity, also said: "In school and life, the most important motivation for work is the fun at work." The fun of learning lies in the initiative and enthusiasm of learning. We often see some students burying themselves in reading and thinking for a long time in order to find a mathematical concept. In order to solve a math problem, forget all about eating and sleeping. First of all, because they are interested in mathematics study and research, it is hard to imagine that they are not interested in mathematics. People who have a headache when they see math problems can learn math well. To cultivate their interest in learning mathematics, we must first understand the importance of learning mathematics. Mathematics, known as the queen of science, is an essential tool for learning and applying scientific knowledge. It can be said that without mathematics, it is impossible to learn other subjects well; Secondly, we should have the spirit of learning and the tenacity to learn well. In the process of in-depth study, we can appreciate the mystery of mathematics and the joy of learning mathematics to succeed. If you persist for a long time, you will naturally have a strong interest in mathematics and arouse your high consciousness and enthusiasm in learning mathematics well. With the interest and enthusiasm in learning mathematics, we should learn mathematics well, pay attention to learning methods and develop good study habits. Knowledge is the foundation of ability, so we should learn basic knowledge well. The learning of basic mathematics knowledge includes three aspects: concept learning, theorem and formula learning and problem-solving learning. To learn a mathematical concept, we should be good at grasping its essential attribute, which is different from other concepts; To learn theorem formulas, we should firmly grasp the internal relationship of theorem directions, grasp the applicable scope and types of theorem formulas, and skillfully use these theorem formulas. Solving mathematical problems is actually solving contradictions on the basis of mastering concepts and theorems and formulas, and completing the transformation from "unknown" to "known". We should focus on learning various transformation methods and cultivate transformation ability. In short, in the study of basic mathematics knowledge, we should pay attention to grasping the overall essence of knowledge, understanding its laws and essence, forming a closely related overall understanding system, and promoting the mutual migration and transformation among various forms. At the same time, we should also pay attention to people's ways, means and strategies to solve problems in the process of knowledge formation, and take mathematical ideas and methods as guidance everywhere, which is what we want to learn most when learning knowledge. Mathematical thinking method is a bridge to transform knowledge and skills into abilities, and it is a powerful pillar in mathematical structure. In middle school mathematics textbooks, there are ideas such as function, equation, combination of numbers and shapes, logical division, equivalent transformation, analogy induction and so on. This paper introduces the matching method, elimination method, method of substitution, undetermined coefficient method, reduction to absurdity, mathematical induction and so on. While learning math well, we should also learn from others. In mathematics learning, we should pay special attention to the cultivation of the ability to solve practical problems by using mathematical knowledge. The socialization trend of mathematics makes the slogan of "popular mathematics" sweep the world. Some people think that future jobs are for those who are ready to study mathematics. "Preparing for mathematics" here not only refers to understanding mathematical theory, but also refers to learning mathematical ideas and using mathematical knowledge flexibly to solve practical problems. To cultivate mathematics application ability, we must first form the habit of mathematizing practical problems; Secondly, we should master the general method of mathematizing practical problems, that is, the method of establishing mathematical models. At the same time, we should strengthen the connection between mathematics and other disciplines. In addition to the connection with traditional disciplines such as physics and chemistry, we can also properly understand the application of mathematics in economy, management and industry. If we study mathematics knowledge and skills in a down-to-earth manner, firmly grasp mathematical ideas and methods, and flexibly apply them to solving practical problems, then we are on the road to success in mathematics learning.

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