Middle school is the spring of life, and it is a very important stage for teenagers to grow physically, acquire knowledge and form an outlook on life. However, at this learning stage, some students feel very hard about mathematics. Therefore, knowing why and how to learn mathematics is a problem that every middle school student must know and learn.
Mathematical knowledge is as vast as the ocean and as majestic as the mountain. No matter how talented, energetic, tenacious and excellent learning conditions, it is impossible for a person to learn all the mathematics knowledge. Some students always want to learn everything. They want flowers to bloom next to a bunch of ripe grapes, but the facts tell us that this is impossible! We must start from the first step and make steady progress step by step, so that we can cross the vast sea and climb the magnificent peaks.
The study of mathematical knowledge can not be done by listening carefully and memorizing. Legend has it that a man met a fairy by chance, and he gave him a gift of turning stone into gold, but he didn't want gold, but asked him to turn stone into gold. Why does this person need fingers? Because he knows that no matter how much gold he gives himself, gold is always limited, but if he has a finger that turns the stone into gold, he can do whatever he wants. I often tell students this story, but I inspire them: Xian Weng's fingers are good, but after all, they belong to others. If we use it, is it spiritual? It can be seen that we should learn more about Xianweng's golden touch. The ancients said: "Giving you fish can only meet the needs of a meal, and giving people fish will benefit you for life." This is the truth.
Mathematics learning method is the means, methods and ways used in mathematics learning. Learning methods are produced and used in the process of learning. Mastering good methods is very important, but it is not an easy task. This requires hard work and perseverance. Only by perseverance every day, over time, can mathematics learning become a conscious behavior, so as to grasp the initiative of mathematics learning. Therefore, there is no shortcut to mathematics learning method, it is only a down-to-earth effort procedure and various concrete measures in this learning process.
The ancients said: "Everything is established in advance, and it will be abolished if it is not planned." Whether two students with the same intelligence have a study plan directly affects the learning effect. It is an important principle of scientific learning method to use time scientifically and study in a planned way within a limited time. Therefore, the lack of planning in mathematics learning is one of the important reasons why some students feel hard for a long time.
To improve the efficiency of mathematics learning, change passive learning into active learning, and be a director of learning, we must grasp several steps:
The first step: do a good job in preview before class.
In the process of preview, read, think and write properly, sketch and write some comments on the book. In particular, we should use mathematics to learn reading methods, that is, we can't read from beginning to end like Chinese reading. Give some examples, that is, carefully examine the questions, then close the book and try to do it in the exercise book. Then open a pair of books, improve the revisions you have made, check the effect of preview in time, and strengthen your memory. At the same time, we can get a preliminary understanding of the basic content and ideas of the textbook, find out the key points and problems that we don't understand, and try to take notes, taking preview notes as the basis of class notes.
Sun Tzu, an ancient military strategist in China, famously said, "Know yourself and know yourself, and you will win every battle." This means that after you have a full understanding of yourself and your opponent, you can be fully prepared and you can defeat the enemy. Preview is the preparation of "knowing yourself and yourself", just like the gunfire of a race. Although it is not allowed in the rules of running, there is no such rule in learning, which is not only allowed but also encouraged. Doing a good math preview is to do it well in advance and make math learning change from passive to active.
In short, math preview is self-study before class, that is, before the teacher gives a lecture, he learns a new lesson independently, so that he can have a preliminary understanding and mastery of the new lesson. Stereo preview can greatly improve efficiency.
Step 2: Master the correct listening methods.
Handle the relationship between attending class and taking notes, attach importance to classroom thinking and answering questions, and constantly improve the classroom learning effect.
Students must have a good class and listen carefully. First of all, they should be prepared before class, intellectually, materially and physically. Secondly, we should concentrate on listening, enter the learning state as soon as possible, participate in all learning activities in the classroom, and always concentrate; Third, we should learn to think scientifically, pay attention to understanding, don't just recite conclusions, discover the ideas of teaching materials and the organization of teachers' explanations in time, be brave in setting doubts, express our opinions and be good at verifying answers from multiple angles; Fourth, students should make all kinds of marks and comments in time and take notes selectively. 5. Mathematics classroom exercise is a very important link. The classroom exercise book should be ready at any time and kept well for review and use. Every class should focus on what you have learned, practice carefully and consolidate what you have learned.
Classroom is the basic form for students to learn mathematics at school, and students spend most of their time in the classroom. According to the provisions of the mathematics syllabus, the total class hours of a student's mathematics class in middle school are about 5000. What an amazing number it will be to accumulate 45 minutes in each class! The quality of academic performance depends on many factors, but how to treat each class is the key. In order to get better grades, we should first use the 45 minutes of class to improve the efficiency of class.
We should do the following four things in class: 1, and attend class with questions; 2. Grasp the thinking of the teacher's lecture; 3. Develop the habit of listening, thinking and remembering, and try to digest and consolidate knowledge in class; 4. Actively answer the teacher's questions. In this way, the requirements of class are basically mastered.
Step 3: Review in time after class.
According to the characteristics of mathematics, we should review in various ways to consolidate and improve the problem solving.
Review textbooks after class and master the basic contents of review; Try to recall, independently recall the contents of the teacher's class, and form a good habit of thinking hard; At the same time, organize notes and processes to supplement knowledge; In addition, according to what you learn every day, practice more questions and be diligent in consolidation. Read more reference books after class, so that the mastery of knowledge will develop in depth and breadth, forming a virtuous circle of learning.
Review is the continuation of preview and class, which will complete the unfinished tasks of preview and class, that is, to achieve a deep understanding and mastery of knowledge in the review process, to improve the skills and skills of using knowledge in the process of understanding and mastering, and then to make knowledge comprehensive and extrapolated in the process of using knowledge, to achieve systematization through induction and sorting, and to truly digest and absorb knowledge, which has become an organic part of its own knowledge chain. In the review process, not only the brain activity is mobilized, but also the ability to analyze and solve problems is improved, and knowledge is consolidated and memorized on the basis of understanding problems. In a sense, the mastery of knowledge is determined by the review effect.
Step 4: Treat homework correctly.
Think independently, finish carefully and improve understanding. This is the correct attitude of students towards homework.
First of all, we should be prepared for homework and link preview, class and after-class review; Secondly, we should carefully examine the questions and be good at analyzing and understanding the problems; Third, clarify the problem-solving ideas, express them accurately, and finish the homework independently; Fourth, we should learn to check and master the method of self-correcting math homework.
Tolstoy said: "Knowledge is true only when it is acquired through positive thinking." No matter which class you study, what the teacher said in class, what you wrote in your notebook, what you read after class, and so on. , is the knowledge in books. If you want to turn them into your own knowledge, you must do it through homework exercises.
Why on earth are you doing your homework? The main functions of homework are: 1 to check the learning effect; 2. Deepen the understanding and memory of knowledge; 3. Improve thinking ability; 4. Accumulate data for review.
When doing homework, it is very important to review the questions. How to review the questions? 1, depending on (understanding) accuracy. Thousands of miles away, a drop in the ocean; 2. Be good at solving problems and deeply understand the meaning; 3. Seize the contact and use relevant knowledge to solve it.
Fifth, extracurricular activities should be extensive.
We should gradually master the scientific learning rules, including laying a good foundation, step by step, reviewing the old and learning the new; Do a good job in extracurricular study, including active reading after class and participating in extracurricular practical activities; It is necessary to master correct extracurricular learning methods, such as extensive reading, intensive reading and deep thinking; We should master the requirements of reading, such as the combination of reading and thinking, the combination of learning and use, gradual accumulation, perseverance and so on.
Extracurricular learning can effectively link the knowledge learned in class with social production practice and life practice, help students deepen their understanding of the knowledge learned in class, broaden their horizons of mathematics knowledge, broaden their thinking, stimulate their desire for knowledge and interest in learning, cultivate their self-study ability and habits, and increase their mathematical talent. This is what is often said: "lay the foundation in class and produce talents outside class."
In a word, we should prepare well before class, understand the learning methods in class, consolidate the learning methods after class, use the learning methods after class, constantly sum up and optimize the learning methods, and strive to explore the mathematics learning methods suitable for our personality. Take math learning as a pleasure, not just learning math well. This will make it easier for you to learn, and "hard work" will naturally leave you.