To comprehensively promote quality education in mathematics and make students become active explorers and thinkers, we must attach importance to the process of students' "learning" and do a good job in "reading, listening, speaking, writing and using" in students' mathematics learning.
1. Reading in Mathematics Learning
Modern society has entered the information age, which requires people not only to "learn" but also to "learn". "Learning" should be based on "reading", including:
1. 1 Reading textbooks are the main materials for students to learn mathematics. It is carefully compiled by the experts who compile the teaching materials of mathematics courses on the basis of fully considering the physiological and psychological characteristics of students, the quality of education and teaching, the characteristics of mathematics subjects and other factors, and has high reading value. Reading textbooks include three links: before class, during class and after class. Reading textbooks before class belongs to understanding the contents of textbooks and finding difficult problems; Reading textbooks in class can help you understand the contents of textbooks more deeply and master relevant knowledge points. Reading textbooks after class is the deepening and expansion of the first two links, which can achieve a comprehensive and systematic understanding and mastery of the contents of textbooks.
1.2 reading magazines In addition to reading textbooks, students should also read a wide range of extracurricular books, such as the series of mathematics extracurricular books for junior and senior high school students published by Shanghai Education Publishing House and the magazine Mathematics for middle school students. That is, reading newspapers can not only make students care about major events at home and abroad, but also make students pay attention to mathematics in our daily life, capture the mathematical information around them, appreciate the value of mathematics and understand the dynamics of mathematical research. However, compared with all kinds of review materials and problem sets, there are too few high-quality mathematics extracurricular reading materials infiltrated with modern science and technology.
Reading in mathematics learning is different from reading novels. It usually needs paper-and-pencil calculus and reasoning to "bridge the gap", and the brain needs to establish a flexible language conversion mechanism.
2. Listening in math learning
"Listening" in mathematics learning mainly refers to attending classes, which is an important link for students to acquire knowledge and learn.
Basic methods for students to learn knowledge systematically. Listening to class means not only listening to the teacher, but also listening to the classmates' speeches.
2. 1 Listening to lectures is mainly about listening to the teacher's thinking in class, that is, the thinking process of finding problems, clarifying problems, putting forward hypotheses and testing hypotheses. Not only should you listen to every word of the teacher's explanation, analysis and play, but you should also grasp the key points, listen to the key steps and make a general description. Especially the difficult problems found or produced when reading textbooks.
2.2 Listening to students' speeches, listening to and accepting other people's mathematical ideas and methods, not only listening to teachers' lectures, but also listening to students' speeches. The exchange of ideas between classmates can cause the sound of * * *. From this, we can learn how other students learn mathematics and thinking. Teachers' timely guidance and evaluation will help us broaden our thinking, stimulate our thinking, clarify our thinking and cause reflection. Learning to listen to the opinions of teachers and classmates and reflect on their own ideas is helpful to cultivate students' good personality, cultivate the spirit of unity and cooperation and enhance group cohesion.
3. "Say" in mathematics learning
Cultivating good language expression ability is not only the task of Chinese learning, but also the important content of improving mathematics literacy and one of the tasks of mathematics learning. "Speaking" in mathematics learning is an important form to cultivate students' language and writing ability, including speaking experience and thinking.
3. 1 Students with oral experience can deepen their understanding and mastery of the content of "reading and listening" by reading textbooks, reading periodicals, attending classes and giving speeches. For example, talk about the content of teaching materials, especially the experience of "reading-reading" content in teaching materials, talk about mathematics in newspapers and magazines, outline the content of reading materials outside lectures, talk about the views of teachers and classmates, and even talk about their own doubts.
3.2 Talking about thinking and learning mathematics is inseparable from solving problems, but we can't solve problems for the sake of solving problems. In the process of solving problems, we should pay attention to the explanation of problem-solving ideas, even the wrong ideas can draw lessons from them and deeply understand mathematical concepts and principles. Taking students' homework as the only channel to understand students' learning situation often covers the whole process of students' thinking and is not comprehensive. Only when students speak boldly can they fully reflect their thoughts, expose their thinking process, let teachers master accurate feedback information and adjust teaching plans in time.
4. Writing in Mathematics Learning
Writing in mathematics learning is an important form to cultivate students' written expression ability. Through the above "reading,
Listening and writing should further require writing, which is a test of reading and listening and a deepening of oral English. In addition to the usual writing (doing) homework, it should also include writing reviews, writing small papers and so on.
4. 1 Write your thoughts after reading. By reading textbooks, especially the "reading" content in textbooks, as well as the relevant contents of newspapers, magazines and extracurricular reading materials, write down your feelings or content summary, and accumulate over time to cultivate your interest and improve your writing ability.
4.2 writing a small paper writing a small paper is more demanding than writing a post-reading, but it is not impossible. This requires students to read extensively, accumulate information, explore deeply, learn to analyze, ask questions and solve problems, cultivate keen observation, enhance innovation consciousness and improve innovation ability.
5. Application in Mathematics Learning
Mathematics is an abstract reflection of the real world, a summary of human experience and an important group that constitutes modern culture.
As an inseparable part, the study of mathematical knowledge must be organically combined with the application of mathematics, just as "applying what we have learned" is what we have always advocated. However, emphasizing application is not to return to the evil path of ignoring basic theories such as "measurement, drawing and calculation", but to cultivate students' awareness of using mathematics and learn to analyze and solve problems in other disciplines and practical problems in production and life with mathematical theories, ideas and methods. Really reflect the application value of mathematics.
"Reading, listening, speaking, writing and using" in mathematics learning is an organic whole, and every link of it can not be separated from the active guidance and guidance of teachers, which requires the spirit of students' active learning. Only active cooperation between teachers and students can achieve the best effect of teaching and learning.
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"Attitude is everything", and a good attitude plays an important role in learning. We should take learning as our main business, love and attach importance to learning; To understand that learning is not a day's work, you must make progress through long-term efforts. Only by abandoning distractions and devoting yourself wholeheartedly can we improve our learning efficiency, achieve ideal academic results and be smooth on the road of learning. The attitude towards teachers is also the key to determine the level of performance. It is necessary to establish a deep friendship with teachers. We should respect our teachers and do as they ask. When the teacher gives help, we should be grateful. When the teacher criticizes, we should have a grateful heart. We should not blame the teacher, let alone contradict the teacher. Only in this way can we overcome the shortcomings in our study, avoid detours and achieve satisfactory results in our study. Habit determines success or failure. Good habits are powerful, and good habits benefit for life. Only by developing good study habits can you make steady progress in your academic performance and make progress.
First of all, we should develop the habit of being diligent and good at thinking. "Learning without thinking is a waste of time", and burying oneself in learning can only produce reading machines, and students who are diligent in thinking and good at thinking will learn. Take mathematics as an example. When doing problems, we should not only think about how to solve problems, but also be good at summarizing the law of solving a class of problems and summarizing the knowledge points that are easy to lose points. For wrong problems and problems, we should be diligent in reflection and improve our ability to solve problems. Secondly, we should form the good habit of cherishing time. God is fair and only gives everyone 24 hours a day. It is particularly important to arrange the study time scientifically and squeeze time for study. First, we should strengthen the planning of learning and make clear each stage, week and day. Even what to do after school in each time period, we must make specific arrangements, and to what extent, we must know fairly well. For example, when you arrive at school in the morning, the content of morning reading should not be to take out a subject casually. There should be plans. A better arrangement is to recite history, geography, biology and politics from 7: 00 to 7: 30. You can recite any subject that day. After 7: 30, you can recite these two courses for a long time under the leadership of Chinese and English teachers. For another example, I also squeeze out 20 minutes to remember English words before going to bed and after getting up. I think it's better for me to remember this time. A little time, remember a word or two, watch a reading, etc. It is considerable to accumulate over time, and it is important to persist for a long time.
Third, we should study every subject carefully. Mathematics: Make sure to listen carefully in class and understand every knowledge point. If you don't understand, you must try to understand. At this time, you can't stop asking because you are afraid of losing face, for fear that others will say how stupid you are. In fact, the really stupid person is the one who doesn't ask. My math teacher once warned us that "learning knowledge is not equal to doing problems", so practice after class is the most important. But I don't advocate crowd tactics. First of all, we don't have much time. Second, the efficiency is too low. I always pursue the "motif" when I do the problem, and I will never change my mind, so I can find some targeted problems to do. After class, I will put the wrong questions in the book, because there are enough blank spaces in the math book published by PEP. If it is the wrong book, I am afraid I will lose it. Chinese is a long-distance race, and Rome was not built in a day. Reading more books will improve your reading ability, but you should also be familiar with some answering skills. Accumulate more life in peacetime, actively express your views on things in life and form words. In the long run, your composition will have fresh vitality, which is of great help to improve the level of composition. English needs a little IQ, because there are many English grammars, but in the usual classroom, the teacher will give you good methods, so improving classroom efficiency is of great help to learning English. I really don't have any good methods for history and politics, because only by memorizing more and practicing more can I improve my grades in these two subjects. In order to achieve excellent academic performance, I think we need to devote more energy to study, persevere, slow and steady, persevere, because success cannot be achieved overnight and will last forever.