What's the use of mathematics? The foundation, instrumentality and application of mathematics have been recognized. Mathematics plays a unique and irreplaceable role in the formation of human rational thinking and the promotion of intellectual development. Mathematics quality has become a basic quality that citizens must have. From a short distance, mathematics is one of the three main courses in middle school education. Mathematics learning in middle school can not only obtain higher mathematics literacy, but also provide a foundation for higher-level development in the future. Now the first grade is an "adaptation period", the second grade may be a "transition period", and the third grade faces the review of the senior high school entrance examination. We should all make rational choices: we must learn math well!
A considerable number of students think that "mathematics is difficult", and mathematics is always the most divided among all subjects. But is math really that difficult?
Klein, an American mathematician, once described the beauty of mathematics as follows: "Music can inspire or soothe feelings, painting can make people pleasing to the eye, poetry can impress people, philosophy can make people gain wisdom, technology can improve material life, but mathematics can provide all of the above." When you enter the kingdom of mathematics and really fall in love with this subject, you will surely realize that mathematics is a fascinating subject with infinite beauty and curiosity. However, in the eyes of other students, mathematics learning is only dealing with some boring numbers, figures and formulas, and it is difficult for people to feel its charm, so their academic performance drops and they are tired of mathematics. Although there are many reasons for this situation, it can be summarized as follows: 1. There is no rigorous learning attitude (there are no problem-solving steps, and the problem-solving format can be saved) 2. Not practical (if you don't pass the basic knowledge, you will study ahead of time, engage in competitions, and be self-righteous) 3. Weak foundation, lack of interest (not learning well in the previous paragraph, forming a vicious circle), 4. There is no spirit of specialized research (I am too lazy to do a slightly more difficult topic), 5. There is no plan (learn this today, learn that tomorrow, and knowledge cannot form a system), 6. Poor computing skills (if I don't have excellent computing skills, I will make mistakes in doing problems, so even the best ideas are useless).
So how do you learn math? It is not good to study mathematics only by reading books without doing problems, nor is it good to bury your head in doing problems without summing up and accumulating. The knowledge of textbooks should be able to enter and exit. Methods vary from person to person, but four steps (preview, class, homework and review) and one step (induction and summary) are indispensable. Forming good study habits, thinking habits and the ability to learn again is an important guarantee for learning mathematics well. The following are some suggestions for students to learn mathematics:
1, strengthen preview and self-study, improve the pertinence of lectures and the initiative of learning. Actively participate in classroom activities, and mobilize the enthusiasm of all psychological activities with ears, eyes, heart, mouth and hands to feel and apply new knowledge.
2. Review in time and strengthen self-experience. Meditate, study the relationship between each question and the concepts you have learned, summarize the skills and methods shown and implied in the questions, and think about why they are handled this way. Is there any other way?
3. Diligent in thinking and willing to practice. The mind is not a container, but a torch waiting to be lit. On the basis of accurately mastering the basic knowledge and methods, it is impossible to form skills without certain practice. Try to finish the exercises independently and consciously use the new knowledge and methods you have learned. Independent homework is a test of our will and perseverance, and only through it can we get familiar with what we have learned. Handle the relationship between independent research and diligent study and reasonable problem solving. Solving problems must have the spirit of diligent thinking and perseverance. Did the wrong homework again. Think over what you don't understand wrong. If you really can't solve it, you must consult your teacher, and often review and strengthen the mistakes that are easy to make, do appropriate repetitive exercises, digest what you ask your teacher to ask your classmates to enter your own knowledge, and insist on changing what you have learned from "familiar" to "alive" for a long time. Will is manifested in overcoming difficulties, and it is also developed in experiencing setbacks and overcoming difficulties. Difficulty is a whetstone to cultivate willpower.
4. Form strict study habits. Even simple topics should be taken seriously, not just writing answers, but more importantly, the process is the logical connection of the knowledge contained in it. In every calculation process, the format of proof can't be left behind, so that we can step by step, summarize and summarize, and go from shallow to deep. This is also the main process of cultivating mathematical logical thinking.
5. Be good at summarizing the relationship among knowledge, concepts and methods, understanding memory and forming knowledge chain and methodology, and discovering the advantages and disadvantages of one's own cognitive ability. Form a good cognitive structure.
6. Comprehensive application is a necessary process to test your ability to apply mathematical knowledge and methods to solve practical problems.
Adhering to the above-mentioned orderly scheme for recycling in learning will certainly form a strong interest and sufficient self-confidence. Interest and confidence are the best teachers to learn math well. Don't be disgusted, let alone a burden. "Great motivation comes from great ideals." As long as you understand the importance of learning mathematics, you will have infinite power to further enhance your interest and confidence in mathematics. You won't be discouraged because of an unsatisfactory exam result, but you will constantly sum up experiences and lessons, study endlessly and seek forever.