⑵ Improve the "teaching adaptability" ability of self-adjustment. Generally speaking, after a period of teaching practice, due to the different understanding of the teaching process, knowledge structure, thinking characteristics, personality tendency and professional experience, teachers show a certain tendency in the adoption of teaching methods, means and strategies, forming their own unique and consistent teaching style or characteristics. As a student, it is obviously unrealistic for teachers to adapt themselves. We should optimize our learning strategies, standardize our learning behaviors and gradually adapt our learning methods to teachers' teaching methods according to teachers' characteristics and our own reality, so that we can learn well and quickly.
⑶ Change "teacher-centered" into "self-centered, teacher-led" learning mode. Mathematics is not taught by teachers, but acquired by teachers' active thinking activities. Learning mathematics is to actively participate in the teaching process, often find problems and ask questions, instead of passively accepting the knowledge and methods learned with the inertia of teachers.
(4) To cultivate a good personality, it is necessary to establish correct learning objectives, cultivate strong learning interest and tenacious learning perseverance, have sufficient learning confidence, a scientific attitude of seeking truth from facts, and an innovative spirit of independent thinking and daring to explore.
5. Develop good preview habits, improve self-study ability, preview and "doubt" before class, "listen with doubt" and "feel doubt", and improve the effect of classroom listening through the guidance and explanation of teachers. Preview is also called self-study before class. The more thorough the preview, the better the effect of attending classes. The better the effect, the more you can preview the next lesson, thus forming a virtuous circle.
[6] The key to solving the problem is to develop a good habit of examining questions and improve reading ability. Mathematical problems are composed of written language, symbolic language and graphic language. When you get a question, you should "stop for three points" and "don't grab a second". On the basis of your existing knowledge and experience in solving problems, you should carefully examine the questions sentence by sentence and scrutinize them carefully, so as not to be confused and rush into battle. When reviewing questions, sometimes you have to "sentence by sentence" the meaning of the questions. Sometimes it is necessary to link the topic with the conclusion, dig and build a bridge between the topic and the goal, and find a breakthrough point, thus forming a problem-solving idea.
(7) In order to develop a good habit of calculation and checking, and improve the ability of calculation, learning mathematics is inseparable from calculation. Junior high school teachers often calculate step by step on the blackboard. Due to the limited time and large amount of calculation, senior high school teachers often leave the calculation to students, which requires students to use their brains and work harder, not only to write, but also to do oral and mental calculations. For complex calculations, they should be patient, master calculations and pay attention to simple methods.
⑻ To cultivate good problem-solving habits and improve your thinking ability, mathematics is a gymnastics of thinking, and it is a discipline with strong logic and rigorous thinking. Cultivating and standardizing problem-solving habits is an effective way to improve the expression ability of words, symbols and graphics, and mathematical language is the basis for developing thinking ability. Therefore, we should gradually lay a solid foundation and improve our thinking ability.
(9) Cultivate the habit of reflection after solving problems and improve the ability to analyze problems. After solving problems, cultivate the habit of not wasting time reviewing the following questions: How did you analyze associations and explore ways to solve problems in the process of solving problems? What is the key to solving the problem? What difficulties have you encountered in solving the problem? How to overcome it? In this way, through the review and reflection after solving the problem, it is helpful to find the key to solving the problem and extract mathematical ideas and methods from it. If we ignore the excavation of it, the ability to solve problems will not be improved. Therefore, after solving a problem, we must always sum up the law of the problem and the solution. Only by diligent reflection can we "stand on the mountain, see far and control the overall situation" and improve our ability to analyze problems.
⑽ To cultivate the habit of correcting mistakes and improve the ability of self-judgment, we should cultivate the psychological quality of initiative, perseverance, resistance to setbacks and no inferiority. We should ponder over the right and wrong questions repeatedly, find out the causes of the mistakes, correct them, and develop good habits, so that many problems will be suddenly enlightened, thus improving our self-judgment ability.
⑾ We should cultivate the habit of studying hard and thinking well, and improve our innovative ability. In the process of learning mathematics, we should follow the cognitive law, be good at using our brains, actively find problems, think independently, pay attention to the internal relationship between old and new knowledge, grasp the connotation and extension of concepts, do more than one problem, change more than one problem, not be satisfied with ready-made ideas and conclusions, be good at thinking about problems from many aspects and directions, dig the essence of problems, and be brave in expressing our unique opinions. Because only thinking can lead to doubt and doubt, as well as thorough understanding. If a person is in an untitled state for a long time, it means that he is not thinking enough and his studies cannot be improved.
⑿ To develop the habit of induction and improve the ability of generalization. After each class, we should summarize according to the logical relationship of knowledge, so that the knowledge we have learned is systematic, organized and thematic. This is also a process of re-understanding, which will play a good role in further deepening the accumulation of knowledge, applying knowledge flexibly and improving our generalization ability.
(13) To develop the habit of taking notes and improve understanding, teachers add a lot of contents and methods to deepen the understanding and mastery of the contents. If you don't take notes, once you forget, you can't review and consolidate. Moreover, in the process of taking notes and sorting out, you participate in teaching activities yourself, which strengthens your learning initiative and interest, thus improving your understanding.
In short, students should develop good study habits, diligent study attitude and scientific study methods, and give full play to their main role, not only to learn, but also to learn. This will get twice the result with half the effort. ! Respondents added edgar faure, a well-known social activist and UNESCO Director-General, in the book "Learn to Live" in August 2009-12/KLOC-0: 47.
It is pointed out that the future illiteracy not only refers to illiterate people, but also includes a wider range of people 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 celebrities tell us that with the advent of the information age in the 2/kloc-0 century, the ability to learn and innovate will become the most important condition for people's survival and development. Nowadays, 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.
How to learn math well
Mathematics is one of the compulsory subjects, so we should study it seriously from the first day of junior high school. So, how can we learn math well? Introduce several methods for your reference:
First, pay attention to the lecture in class and review it in time after class.
The acceptance of new knowledge and the cultivation of mathematical ability are mainly carried out in the classroom, so we should pay attention to the learning efficiency in the classroom and seek correct learning methods. In class, you should keep up with the teacher's ideas, actively explore thinking, predict the next steps, and compare your own problem-solving ideas with what the teacher said. In particular, we should do a good job in learning basic knowledge and skills, and review them in time after class, leaving no doubt. First of all, we should recall the knowledge points the teacher said before doing various exercises, and correctly master the reasoning process of various formulas. If we are not clear, we should try our best to recall them instead of turning to the book immediately. In a sense, you should not create a learning way of asking questions if you don't understand. For some problems, because of their unclear thinking, it is difficult to solve them at the moment. Let yourself calm down and analyze the problems carefully and try to solve them by yourself. At every learning stage, we should sort out and summarize, and combine the points, lines and surfaces of knowledge into a knowledge network and bring it into our own knowledge system.
Second, do more questions appropriately and develop good problem-solving habits.
If you want to learn math well, it is inevitable to do more problems, and you should be familiar with the problem-solving ideas of various questions. At the beginning, we should start with the basic problems, take the exercises in the textbook as the standard, lay a good foundation repeatedly, and then find some extracurricular exercises to help broaden our thinking, improve our ability to analyze and solve problems, and master the general rules of solving problems. For some error-prone topics, you can prepare a set of wrong questions, write your own problem-solving ideas and correct problem-solving processes, and compare them to find out your own mistakes so as to correct them in time. We should develop good problem-solving habits at ordinary times. Let your energy be highly concentrated, make your brain excited, think quickly, enter the best state, and use it freely in the exam. Practice has proved that at the critical moment, your problem-solving habit is no different from your usual practice. If you are careless and careless when solving problems, it is often exposed in the big exam, so it is very important to develop good problem-solving habits at ordinary times.
Third, adjust the mentality and treat the exam correctly.
First of all, we should focus on basic knowledge, basic skills and basic methods, because most of the exams are basic topics. For those difficult and comprehensive topics, we should seriously think about them, try our best to sort them out, and then summarize them after finishing the questions. Adjust your mentality, let yourself calm down at any time, think in an orderly way, and overcome impetuous emotions. In particular, we should have confidence in ourselves and always encourage ourselves. No one can beat me except yourself. If you don't beat yourself, no one can beat my pride.
Be prepared before the exam, practice routine questions, spread your own ideas, and avoid improving the speed of solving problems on the premise of ensuring the correct rate before the exam. For some easy basic questions, you should have a 12 grasp and get full marks; For some difficult questions, you should also try to score, learn to score hard in the exam, and make your level normal or even extraordinary.
It can be seen that if you want to learn mathematics well, you must find a suitable learning method, understand the characteristics of mathematics and let yourself enter the vast world of mathematics. Ten ways to learn mathematics well
1, preview before class and find questions. 2. Think more, ask more questions and master the rules.
3. Use your brain and your hands. 4, digestion and consolidation, review the old and learn new.
5. Read the questions carefully and check them carefully. 6. Pay attention to understanding and read the memory silently.
7. Use your head and solve more problems. 8. Read more books and broaden your horizons.
9. Analyze the lost points and sum up the experience. 10, combining work and rest, reasonable arrangement.