Math learning method in grade two of junior high school
Learning situation
(1) Learning is unscientific. The performance is as follows: some students don't take notes carefully in class, and they can't consolidate their review in time after class; Busy with homework, I don't know much about knowledge.
(2) Ignoring the foundation. Some students who "feel good about themselves" tend to despise the study and training of basic knowledge, basic skills and basic methods, and often only know how to do it, instead of calculating and writing carefully, and are very interested in difficult problems, so as to show their "level". They aim too high, emphasize "quantity" over "quality", and can't get it in the exam without a solid foundation and basic skills.
(3) Neglect homework or practice. It is manifested in: lack of in-depth thinking about the problem, and sometimes the answers in the exercise book are printed wrong, so the children don't believe their own conclusions when they check the answers after finishing their homework, cross out their own answers and copy the wrong answers; Poor writing standardization;
(4) The error rate of weekly practice examination is high. The performance is as follows: first, I can't figure out how to do it at the moment, but I will do it afterwards, and my sense of presence is not good; The second is done on the surface, but because of careless inspection, the concept is unclear and the calculation is not accurate; The third is that there is not enough time, the speed of solving problems is slow, and the habit of doing problems is not good at ordinary times. The fourth is that it can't be done at all, the basic skills are not good, and the integration ability is even more lacking. psychology
In view of the above situation, on the one hand, we actively take measures to help students; On the other hand, we need the strong cooperation of our parents. So how should parents cooperate? Second, how should parents cooperate in math learning in senior two?
Cultivation of Good Study Habits and Scientific Learning Methods
The second day of junior high school is a watershed in mathematics learning. Many children will find it more and more difficult to learn mathematics with the growth of grade, which is of course related to children's intellectual tendency, but also related to learning methods, ways of thinking and study habits. We should cultivate good study habits and guide learning methods, no matter from the psychological characteristics of age growth or from the requirements of different learning stages. Cultivation of study habits
Habit is a stable and lasting conditioned reflex and a natural need consolidated through repeated practice. Establishing a good habit of learning mathematics will make you feel orderly and relaxed in your study. The good habits of learning mathematics should be: asking more questions, working hard, summarizing again, reviewing more, calculating accurately and writing regularly. In the process of learning mathematics, students should translate the knowledge taught by teachers into their own unique language and keep it in their minds forever.
(a) preview, lectures, review, homework, problem solving and other aspects of the habit.
1, preview method-preview is to read the upcoming math content before class, so as to have a good idea and grasp the initiative in class. This is conducive to improving learning ability and forming the habit of self-study, so it is an important part of mathematics learning.
(1) Read and write. (No pen and ink, no reading)
(1) Reading, thinking and writing are generally used to draw out or mark the main points, levels and connections of the content, write down your own opinions or mark the places and problems that you don't understand;
(2) Once you find that you don't master the old knowledge well or even understand it, you should turn over the books in time and take measures to make up for it, so as to create conditions for learning new content smoothly.
(3) Understand the basic content of this lesson, that is, know what to talk about, what problems to solve, what methods to adopt, where the key points are, and so on.
Take out the chapters corresponding to a workbook and read them roughly to see which questions can be read at once and which questions can't be understood at all, and then go to class with questions.
(2) Determine the main points of the lecture. Grasping the main problems you want to solve can improve the efficiency of class. 2, the method of listening to lectures
Listening to classes is the main form of learning mathematics. With the guidance, inspiration and help of teachers, we can avoid detours and reduce difficulties, and gain a lot of systematic mathematics knowledge in a short time, otherwise we will get twice the result with half the effort and it is difficult to improve efficiency. So attending classes is the key to learning math well.
(1) Keep an eye on the teacher. In addition to the clear tasks in the preview, we should also solve our own problems in a targeted manner and keep up with the teacher's lectures, such as how the theorem was discovered or produced, how the idea of proof was worked out, and what key places need to be broken through. How to use formulas and theorems? Many mathematicians emphasize that "we should not only see what is written in the book, but also see what is behind it."
(2) Dare to speak. When listening to the class, on the one hand, we should understand what the teacher said, think or answer the questions raised by the teacher, on the other hand, we should think independently. If you have any questions or new problems, you should be brave enough to put forward your own opinions.
(3) take notes. Write down the main points, supplementary contents and methods of the teacher's lecture in class. Step 3 review methods
Review is to learn the learned mathematical knowledge again, so as to achieve the purpose of in-depth understanding, mastery, refinement and generalization, and firm grasp. Review should be closely linked with lectures, and the contents of lectures should be recalled while reading textbooks or checking class notes, so as to solve the existing knowledge defects and problems in time.
(1) Review notes and roll paper. Try to understand the content of learning and really understand and master it. We should not stop at the requirements of reviewing and memorizing what we have learned, but should think hard about how new knowledge is produced, how it is developed or proved, what its essence is, and how to expand and broaden it through application. Be diligent in reviewing (knowledge points, typical questions, etc.). ), and often watch it repeatedly-this is the truth revealed by Ebbinghaus forgetting curve in psychology. Students are advised to show movies. After finishing your homework, close your books and notes, recall the contents of the class, such as rules, formulas, problem-solving ideas and methods, and reproduce them as completely as possible in your mind. Then open the textbook and compare the notes, and focus on reviewing the missing knowledge points. This not only consolidated the content of the class that day, but also checked the missing items.
(2) Do the questions moderately. Prepare a mistake book, record the mistakes you have made and practice again. For the topic I did wrong, recall why and where I was wrong. Where I make mistakes is often my weakness. It is not enough to correct it for a while, but also to carry out appropriate intensive training.
(3) Dare to question and enhance the initiative of learning. Always study with classmates or ask teachers, and don't accumulate too many questions. Don't put all the questions you can't know in class and wait for the teacher to tell you. 4, the method of homework
Mathematics learning is often to consolidate knowledge, deepen understanding and learn to use it by doing homework, thus forming skills and developing intelligence and mathematical ability. Because the homework is done independently on the basis of review, you can check your mastery of the mathematics knowledge you have learned, examine your ability level, and find out the existing problems and difficulties. When there are many wrong questions, it often indicates that there are defects or problems in the understanding and mastery of knowledge, which should arouse vigilance and need to find out the reasons and solve them as soon as possible. (1) Review before you do your homework. You need to review before you do your homework, and then do it on the basis of having a basic understanding and mastery of the textbooks you have learned. Otherwise, you will get twice the result with half the effort, take time and get the desired result.
(2) Must be done independently. Develop good habits, do your homework neatly, and pay attention to the problem-solving format. Writing norms. Homework must be done independently. High-quality homework can cultivate a sense of responsibility for independent thinking and correct problem solving.
(3) short time and high efficiency. Set a specific time during which nothing is allowed except doing homework. Loose thinking and unfocused work habits are harmful to improving math ability.
(4) Check carefully. Prepare a red pen, tick it correctly, do it again if it is different, check whether you have done it right or not, and ask teachers and classmates some questions that you can't or can't scream. 5. Develop good problem-solving habits.
Mr. Hua advocates that you should not only practice hard, but also practice hard and practice hard. It is necessary to cultivate students' ability of not being bored and thinking deeply, and cultivate students' habit of liking calculation, not being bored and practicing frequently in operation. 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. Parental guidance (1) is standardized and detailed. Parents can always pay attention to the problems in the weekly exercise paper and communicate with the teacher in time. For students with weak computing ability, parents can further communicate with teachers to study which questions to choose and how to practice. (2) Be good at summarizing and classifying. (3) Do some difficult problems properly. Mr. Hua said to him, do you want to solve the problem? Doing well in a planned and focused way is an exercise. Practice hard when dealing with difficult problems, and practice hard until the goal is achieved. In addition to the existing workbooks, capable students should also prepare some difficult workbooks under the guidance of teachers.
(B) a few small ways to learn math well
1, establish a mathematical error correction book. When you make mistakes in your homework or review, once you understand them, you must never let them go. In order to reduce repetitive mistakes, I am not afraid of not making mistakes the first time, but I am afraid of making the same mistakes next time. Write down error-prone knowledge or reasoning in case of making mistakes again. Try to find the wrong mistakes, analyze them, correct them and prevent them. Literacy: We should set a set of wrong questions for the wrong questions in homework, extracurricular exercises and exams. The wrong question set consists of five contents: wrong questions, wrong reasons, error correction measures, error correction and consolidation. 2. Memorize mathematical laws and conclusions;
3. Establish a good relationship with classmates, strive to be a "little teacher" and form a "mutual aid group" for math learning. Look at other students' papers, learn their excellent methods and absorb their mistakes.
4, often carry out one problem with multiple solutions, one problem is changeable, think about the problem from many sides and angles, and dig the essence of the problem. Find the best learning method according to your own characteristics.
5, often do some "reflection" after doing the problem, think about the basic knowledge used in this problem, what is the mathematical thinking method, why do you think so, and whether the analysis method and solution of this problem have been used in solving other problems. Whether it is homework or exam, we should put accuracy first and general methods first, which is an important problem to learn mathematics well.
6. "From thin to thick" and "from thick to thin" are the research methods mentioned by mathematician Hua many times. He believes that learning should go through the process of "from thin to thick" and "from thick to thin".
"From thin to thick" means to understand and know the mathematical knowledge you have learned and know why. Learning should not only understand and memorize concepts, theorems, formulas and laws. We should also think about how they were obtained, what is the connection with the previous knowledge, what is missing in the expression, what is the key, whether we have a new understanding of knowledge, whether we have thought of other solutions, and so on. After careful analysis and thinking in this way, some notes will be added to the content, some solutions will be added or a new understanding will be generated. "The more books you read, the thicker you will be."
However, learning can't stop here. We need to integrate the knowledge we have learned, refine its spiritual essence, grasp the key points, clues and basic thinking methods, and organize it into refined content. This is a "from thick to thin" process. In this process, it is not the reduction of quantity, but the improvement of quality, so it plays a more important role. Usually, when summarizing the contents of a chapter, chapters or a book, we should have this requirement and use this method. At this time, due to the high generalization of knowledge, it can promote the transfer of knowledge and is more conducive to further learning.
"From thin to thick" and "from thick to thin" are a spiral rising process, with different levels and requirements, which need to be used many times from low to high in learning to achieve the desired results. This way of learning embodies the dialectical unity of "analysis" and "synthesis" and "divergence" and "convergence", which means that mathematics learning needs unity.
Mathematics teaching method
Cultivating students' learning ability from the perspective of "teaching" and "learning"
For a long time, "teachers teach and students learn" is the traditional mode in the teaching process, while modern teaching theory holds that teaching methods include teaching methods and learning methods, as babanski, an expert in mathematical theory, pointed out: "Teaching methods are determined by the coordination of learning methods and teaching methods." That is, teaching methods are restricted by the teaching law of interdependence between teaching and learning. For the guidance of mathematics learning methods, the author thinks that the first thing is to correctly understand the importance of mathematics learning methods. Inspire students to realize that scientific learning methods are an important factor to improve their academic performance, and run this idea through the whole teaching process. For example, according to the content of the textbook, we will tell some successful examples of using scientific learning methods, hold a seminar on mathematics learning methods, let students with excellent academic performance introduce their experiences, and open a column to discuss learning methods. The second is to guide students to master scientific mathematics learning methods. First of all, we should explore the learning factors in the teaching materials and infiltrate the learning guidance into the teaching process.
Secondly, we should summarize it in time. When imparting knowledge and training skills, teachers should guide students to sum up what they have learned in time according to teaching practice, gradually improve it systematically and find out the regular things. Finally, pay attention to transfer training, sum up what you have learned, rationally reflect on learning methods, strengthen transfer, and master learning methods in training. The third is to cultivate students' comprehensive ability in mathematics learning. The ability to learn mathematics is actually the ability to train students to listen, speak and think in mathematics learning activities. They are the premise and indispensable learning ability of mathematics classroom learning activities, and also the guarantee to improve the efficiency of mathematics classroom learning. Teachers should always know the students' understanding of the main points of knowledge and the effect of attending classes. At the same time, teachers can also teach students some listening skills. For example, how to maintain a high degree of concentration in the process of listening to lectures and keep pace with teachers; How to better understand the teacher's explanation; How to learn to summarize the main points and key points; What if you don't understand? When other students answer questions, they should also pay attention to listening and actively participate in the discussion, and constantly explore the laws and methods of learning.
Promote students' cooperation and communication from teaching organization and teaching methods.
In order to promote students' cooperative communication, we should change the teaching organization and teaching methods from the original single class teaching system to the self-made class teaching system and group cooperative learning form. Teachers can guide students to engage in learning activities in groups, effectively promote students' learning with the help of interaction among students, and take the group's achievements as the evaluation standard to achieve teaching objectives. In teaching, we should pay attention to the following aspects: 1. Reasonable grouping. In order to promote students' cooperative learning in groups, the whole class should be divided into groups.