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Questions about mathematics learning strategies

Experience 1:

1. You might as well set some time limits for yourself. Studying continuously for a long time can easily make you feel bored. At this time, you can divide the homework into several parts and limit the time for each part. For example, complete this exercise within an hour, finish the test before eight o'clock, etc., so that Not only does it help improve efficiency, it also prevents fatigue. If possible, gradually reduce the time taken, and soon you will find that homework that could not be completed in an hour can now be completed in forty minutes.

2. Don’t do other things or think about other things while studying. Everyone knows that you can't do two things at one time, but there are still many students who are studying and listening to music at the same time. Maybe you will say that listening to music is a good way to relax your nerves. Then you can concentrate on studying for an hour and then relax and listen to music for a quarter of an hour. This is much better than doing homework with headphones.

3. Don’t review the same lesson all night. I used to read math or physics all night long. Practice has proved that doing so is not only tiring, but also very ineffective. Later, I arranged to review two or three subjects every night, and the situation became much better.

Except for very important content, it is not necessary to take detailed notes in class. If you are busy taking notes in class, your listening efficiency will not be high, and there is no guarantee that you will read your notes after class. The main work done in class should be to digest and absorb the teacher's lectures and take some brief notes as appropriate.

Experience 2:

I have talked about learning efficiency with many people. We often see situations like this: a classmate studies extremely hard, studies at school, studies at home, and stays up late from time to time. He solves countless questions, but his grades never improve. In fact, I am also very worried about this situation. Anxious, originally, if you pay, you should be rewarded, and if you pay a lot, you should get a lot in return. This is a matter of course. But the actual situation is not like this. There is an efficiency problem here. What does efficiency mean? Just like learning something, some people can master it after practicing it ten times, while others need to practice it a hundred times. There is an efficiency problem.

How to improve learning efficiency? I think the most important thing is the balance between work and rest. What is most needed to improve learning efficiency is a clear and agile mind, so proper rest and entertainment are not only beneficial, but also necessary. They are the basis for improving learning efficiency. So how to improve the efficiency of listening in class? Judging from my experience, it is necessary to have a certain amount of preview before class. However, my preview is relatively rough. It is nothing more than a quick glance at the textbook, so that I have a general understanding of the content and key points of the textbook. Once the music is composed, the lesson will sound more targeted. When previewing, we don’t have to be too detailed. If we are too detailed, it will be a waste of time. Second, we will be a little lax during class, and sometimes we will ignore the most useful things. Of course it is necessary to listen carefully during class, but as a teacher of mine once said, no one can concentrate on a class. That is to say, it is impossible to concentrate for more than forty minutes without losing focus, so in class There is also a problem of time allocation during this period. When the teacher talks about something very familiar, you can relax appropriately. In addition, taking notes sometimes hinders the efficiency of classroom listening. Sometimes you are busy copying notes during a class. In doing so, you sometimes ignore some very important things, but this does not mean that you can not copy notes. Not copying notes is No, everyone will forget. With notes, you will have a foundation when you review. Sometimes the teacher talks a lot, and you remember a lot on the blackboard, but you don’t need to remember everything. Of course, don’t remember the things in the book, but remember some. Theorems and laws that are not in the book, typical examples and typical solutions, these are the things that are truly valuable to memorize. Otherwise, remembering what you see will inevitably affect the efficiency of listening in class, and the gain will outweigh the loss.

How to improve the efficiency of writing questions? The most important thing is to choose a "good topic". You must not just answer the topic indiscriminately. In that case, you will often get half the result with half the effort. The questions are all centered around knowledge points, and many of the questions are quite similar. First, choose the knowledge point you want to strengthen, and then choose questions around this knowledge point. You don’t need to have many questions, as long as one similar question is enough. , after choosing the topic, you can do it seriously.

The improvement of the efficiency of writing questions also depends to a large extent on the process after writing the questions. For questions you get wrong, you should seriously think about the reasons for the mistakes, whether it is because you do not grasp the knowledge point clearly or because you are careless. After analyzing, you should do it again. Deepen the impression and the efficiency of writing questions will be much higher.

Comment: Xia Yu’s suggestions on listening to lectures and doing test questions actually reflect an important method to improve learning efficiency - "focus your efforts on the edge", that is, allocate time reasonably, listen to lectures, and take notes. When taking notes, you should focus on key points, and when doing exercises, you should focus on typical examples. This is "get twice the result with half the effort" in learning.

Experience 3:

Learning efficiency is an important factor in determining academic performance. So, how do we improve our learning efficiency?

The first point is to be confident. Many scientific researches have proven that people have great potential, but most people have not effectively developed this potential. Among them, people's self-confidence is a very important aspect. No matter when and where you do anything, with this kind of self-confidence, you will have a belief that you must win, and you can quickly get rid of the shadow of failure. On the contrary, if a person loses his self-confidence, he will achieve nothing and will easily fall into eternal inferiority.

Another important way to improve learning efficiency is to learn to be attentive. The process of learning should be a process of thinking with the brain. Whether it is seeing with the eyes, reading with the mouth, or copying with the hands, it is all a means to assist the use of the brain. The real key is to use the brain to think. Take a very simple example, such as memorizing words. If you just browse or copy aimlessly, it may take you many times to remember it, and it is not easy to remember it. But if you can give full play to your imagination, By using the association method to remember, you can often remember things quickly and be less likely to forget them. Many methods for quickly memorizing English words introduced in many books now also emphasize the role of brain association. It can be seen that if you can concentrate on 7 and unleash the potential of your brain, you can definitely improve the effect of learning.

Another important factor that affects learning efficiency is people’s emotions. I think everyone has had this experience. If one day, they are full of energy and emotions, then they will feel very relaxed when learning something and learn quickly. In fact, this is what we learn. When efficiency is high. Therefore, it is very important to maintain a good mood. In our daily lives, we should have a more cheerful mood and not think too much about the things that don't go our way. Moreover, we should treat the people and things around us with a passionate and optimistic attitude towards life, because in this way, no matter how we treat others It is still very beneficial to yourself. In this way, we can create a very relaxed atmosphere around ourselves and feel extra energetic when studying.

Experience 4:

Many students seem to work hard, but their results are always not ideal. One reason is that learning efficiency is too low. In the same time, you can only master half of the knowledge that others have learned. How can you learn well in this way? Studying should pay attention to efficiency and improve efficiency. The methods are roughly as follows:

1. Ensure 8 hours of sleep every day.

Don’t stay up late at night and go to bed at a regular time. Take a nap at noon. Adequate sleep and full energy are basic requirements for improving efficiency.

2. Pay full attention when studying.

Play happily when you play, and study seriously when you study. Sitting at your desk and studying hard all day long is not a good idea. When you study to a certain level, you need to rest and replenish your energy. After studying, be sure to take a break. But when studying, you must devote yourself wholeheartedly and use both your hands and brain. When I study, I often feel like Tao Yuanming's state of "Although I am in a busy city, there is no noise of traffic and horses". Only my hands and brain communicate with the textbooks.

3. Insist on physical exercise.

The body is the capital of "learning". Without a good body, no matter how great your abilities are, you will not be able to use them. Therefore, no matter how busy you are with studying, you cannot ignore relaxing exercises. Some students neglect exercise in order to study, and their bodies become weaker and weaker, and they feel more and more unable to study. How can this improve learning efficiency?

Fourth, learning should be proactive.

Only by actively learning can you feel the fun and become more interested in learning. With interest, efficiency will be improved unconsciously. Some students have a poor foundation. They always have problems they don’t understand during the learning process, and they are shy to ask others for advice. As a result, they are depressed and absent-minded. How can they start to improve learning efficiency.

At this time, the only way is to ask others for advice. You must understand what you don't understand and accumulate bit by bit to make progress. In this way, efficiency can be gradually improved.

5. Maintain a happy mood and get along well with your classmates.

Have a good mood every day, do things neatly, and be actively engaged in learning, and your efficiency will naturally be high. On the other hand, combining the individual and the collective, maintaining a mutually supportive relationship with classmates, and uniting and forging ahead can also improve learning efficiency.

6. Pay attention to organization.

During the learning process, put the textbooks, homework and materials of each subject together in an orderly manner. When it's time to use it, you'll know where it is at a glance. And when some students were checking a certain book, they looked around and disappeared. Time passed in the busy and anxious search. I think students who are not organized will not learn well.

Comment: The improvement of learning efficiency is largely determined by factors other than learning. This is because many factors such as a person's physique, mood, and state are closely related to learning efficiency.

Summary

Learning must pay attention to methods, and the essential purpose of improving learning methods is to improve learning efficiency.

The level of learning efficiency is a reflection of a student's comprehensive learning ability. In the student era, the level of learning efficiency mainly affects academic performance. When a person enters society, he or she must continue to learn new knowledge and skills at work. At this time, a person's learning efficiency will affect his (or her) work performance, and then affect his or her career and future. It can be seen that developing good study habits and having high learning efficiency in middle school will be of great benefit to one's life-long development.

It can be said that people with high learning efficiency must be students with good academic performance (by implication, good academic performance does not necessarily mean high learning efficiency). Therefore, for most students, improving learning efficiency is the direct way to improve academic performance.

Improving learning efficiency does not happen overnight and requires long-term exploration and accumulation. We can learn from previous experience, but we must fully combine it with our own characteristics. Factors that affect learning efficiency include those within learning, but more factors are outside learning. First of all, we must develop good study habits and make rational use of time. In addition, we must pay attention to the cultivation of basic qualities such as "concentration, dedication, and perseverance." We must also have a deep understanding of our own strengths and weaknesses. In short, "Nothing in the world is difficult, only those who are willing to do so."

I hope you will have smooth sailing in your future studies!

A series of talks on middle school students’ learning methods

Three learning realms

1. The first level is hard study

When it comes to learning, let’s talk about it "Cantilever beam, cone thorn", "hard work, hard work, hard work again". Students at this level find learning boring. For them, learning is a forced behavior and they cannot experience the fun of learning. Over a long period of time, they will inevitably have a sense of fear of learning, which will breed a feeling of being tired of learning. As a result, learning becomes a kind of drudgery for them.

2. The second level is love of learning

As the saying goes, "Those who know well are not as good as those who are good". For students who have reached this level, their interest in learning plays a major role in promoting learning. He is so hungry for learning that he often forgets to eat and sleep. They do not need to be forced by others to study. Their conscious attitude often enables them to achieve good results, and good results make them more interested in learning, forming a virtuous circle in learning.

3. The third level is learning

Learning itself is also a science, with scientific methods and rules that need to be followed. If you study according to the correct method, your learning efficiency will be high, you will learn easily, your thinking will become flexible and smooth, and you will be able to control knowledge well. Truly become the master of knowledge.

At present, in the study of middle school students, most of them are in the first level, a few are in the second level, and even less are in the third level. We should be clear that an important goal of learning is to learn to learn, which is also a requirement for the development of modern society. The illiterate people in the 21st century will be those who cannot learn. Therefore, students should pursue a higher learning realm in their studies, make learning a pleasant thing, and learn all the lessons easily.

Three learning habits

The quality of academic performance often depends on whether you have good study habits, especially thinking habits.

1. Always grasp knowledge from a systematic perspective

Many students are accustomed to following the teacher step by step, chapter by chapter, in their studies. Regarding the relationship between the intended chapters and the overall system of the discipline, one can only see the trees but not the forest. As time goes by and the knowledge you learn continues to increase, you will feel that the content is complicated and unclear, and the memory burden will increase. In fact, any subject has its own knowledge structure system. Before learning a subject, you should first understand this system and grasp the knowledge as a whole. When learning each part of the content, you must understand its position in the overall system. In this way Doing often makes the knowledge learned easier to grasp.

2. Trace back to the source and seek the inner connection between things

The most important thing to avoid in learning is rote memorization, especially in science learning. What is more important is to understand the truth, so no matter what you study Content, you have to ask why. The knowledge learned in this way seems to have a source of water and a solid foundation. Even if the question you ask is beyond the scope of middle school knowledge and even the teacher cannot answer it, it does not matter. What matters is that we must have a thirst for knowledge and curiosity about everything. This is often an important way to cultivate our interest in learning. What's more important is to develop this kind of thinking habit, which is conducive to the training of thinking quality.

3. Divergent thinking and developing the habit of associative thinking

In learning, we should always pay attention to the differences between new and old knowledge, between subjects, what we have learned and the reality of life, etc. Contact, do not treat knowledge in isolation, develop the habit of thinking about problems from multiple angles, and consciously train the fluency, flexibility and originality of thinking. In the long run, it will inevitably promote the development of intellectual quality. The learning of knowledge is mainly achieved through thinking activities. The core of learning is the core of thinking. Mastering knowledge is important, but more importantly, improving intellectual quality through knowledge learning. When intellectual quality is improved, knowledge learning will become easier. . Therefore, the three learning habits of learning mentioned above are essentially three thinking habits. The point of learning is to learn how to think.

Three learning points

We can talk a lot about learning methods, but it is important to pay attention to the following three points:

1. Read more and pay attention to the basics< /p>

To study well, mastering basic knowledge is particularly important, and basic knowledge refers to textbook knowledge. Students must be aware of this. However, when studying, many students do not pay attention to the reading comprehension of textbooks, and are only willing to do more questions, because the exam is just about doing questions. In fact, this is an approach that puts the cart before the horse. It should be said that both textbooks and exercises are very important and cannot replace each other. However, textbook knowledge is the foundation, and one of the purposes of doing exercises is to better master knowledge. Therefore, we advocate reading more and doing less questions, but we do not advocate doing more questions and less reading.

2. Think more and pay attention to understanding

"Learning without thinking means nothing", thinking is the soul of learning. In learning, knowledge is important, but more important is the mind that controls knowledge. If a person cannot think, he can only be a slave to knowledge. No matter how much knowledge he has, it is useless, and it is impossible to truly learn good knowledge. Knowledge learning focuses on understanding, and understanding can only be achieved through thinking. The source of thinking is questions. When learning, you should be careful not to let go of any questions easily. If you have questions, don’t be eager to ask others. You should strive to think alone and use your own hands and brain. To find the correct answer to the question, this will help improve your thinking ability.

3. Repetition often, reviewing the past and learning the new

The first sentence of the opening chapter of "The Analects"; "Learn and practice from time to time" is the essence of learning, and constant repetition is obviously a sign of learning. A very important aspect. Of course, this kind of repetition cannot be mechanical repetition, nor is it just simple repeated memory. We advocate that each repetition should have a different angle, different focus, and different purpose, so that each repetition will have different feelings and experiences, and gain a deeper understanding each time. The learning of knowledge and the improvement of abilities are sublimated through this constant repetition, which is the so-called learning of the new by reviewing the past.

Three learning spirits

1. Not just books

The ancients said: "It is better to have no books than to believe in books." In our study, textbooks It is an important material for our study. There is no doubt that we can learn the basic knowledge of the textbook well. However, two issues should be clarified here; first, science is always a developing knowledge system, and the knowledge and methods we learn cannot be without flaws. This requires us to use our brains more, dare to doubt, boldly explore, and put forward our own opinions and opinions on the basis of thinking.

2. The process of people's understanding of things can only be completed after many iterations. Maybe our suspicions are wrong, and the views and insights we put forward are incorrect, but it is from this confrontation between wrong and right that we can gain correct understanding. If you just memorize by rote, even if you memorize the textbook, it will be difficult to use it flexibly. Therefore, we advocate not only books, not to deny books, but to cultivate an innovative spirit.

2. Not just teachers

In the study of middle school students, many students only listen carefully during class; they copy the teacher’s writing on the blackboard verbatim and digest it after class Absorb, but rarely find and ask questions. The teacher talks about it and teaches it, turning himself into a "knowledge container". The famous Swiss educational psychologist Piaget once said: "The main purpose of education is to cultivate people who can innovate rather than simply repeat what their predecessors have done." Therefore, we advocate that students should communicate more with teachers, When you have questions or different opinions about what the teacher said, you must dare to stick to your own point of view, dare to question the teacher, and even argue with the teacher. In the argument, what we lose is only the mistake, and what we gain is not only the correct understanding, but also more important The most important thing is the development of intelligence, as well as the improvement of courage and confidence. In the end, it is inevitable that "the best is better than the old".

3. Not unique

The understanding of a piece of knowledge can be understood from different angles; for the solution of a problem, there can be different methods; for a practical problem, it can be understood from Different disciplines to analyze and solve. The world itself is a diverse world, and the purpose of our learning is never to pursue the only answer. Therefore, we must have this "not the only" consciousness and spirit in our studies, seek as many ways to solve problems as possible, develop the habit of understanding problems from multiple aspects and angles, and train the flexibility and adaptability of thinking.

Three Learning Principles

The specific methods of learning often vary from person to person. Different people have different learning characteristics and can take different measures according to their actual situation. But we also need to strictly abide by some common principles, which are important guarantees for achieving good results.

1. The principle of consciousness

Consciousness requires middle school students to consciously arrange their daily learning activities and consciously complete various learning tasks. We should make it clear that learning is more effective when it is a conscious behavior, especially the learning of middle school students, which mainly relies on consciousness. If learning becomes an act of being oppressed by others, the motivation for learning will weaken, and over time, you will feel bored and lose interest in learning, and the learning effect can be imagined. Therefore, for those students who are not doing well in their studies, they should first check their own learning consciousness. Everything that belongs to them must be done consciously. This is the prerequisite for doing everything well.

2. The principle of initiative

Initiative requires middle school students to be enthusiastic about learning, take the initiative to acquire knowledge, not wait, not rely on, and not be ashamed to ask questions. Being proactive is a necessary condition for success in anything you do, and learning is no exception. Many students lack this in their studies. They would rather keep questions they don't understand in their stomachs than ask others. You learn whatever the teacher tells you, and you don't go too far. You rarely take the initiative to communicate with teachers and classmates. Some students won't even ask the teacher a question for a year. It’s not that these students don’t have any problems, but they lack the initiative and enthusiasm for learning. This passive learning state is very harmful and must be changed.

3. The principle of independence

Independence requires middle school students to be independent in doing things, not to be gullible, not to blindly follow others, not to follow others' opinions, to be able to complete learning tasks independently, and not to be easily affected by group factors. Many excellent students often have such characteristics. While other students are always willing to let the teacher explain things repeatedly, they are more willing to think independently and rely on their own independent wisdom to strive to acquire knowledge. It is their independence in learning that makes them outstanding. We believe that if there is no independence in learning, there will be no creativity and it is impossible to achieve the best learning results.

Three learning skills

1. Learn to read quickly

Acquiring knowledge directly from books is an important way. Even the knowledge in textbooks is You cannot learn purely by relying on the teacher’s explanations. A student who has mastered reading skills can master knowledge more quickly and smoothly, and learn more actively and easily.

In actual study, many students are accustomed to listening to lectures in class and doing homework after class. They do not read even textbooks, let alone read a lot of extracurricular books. In the long run, the result is that they cannot read and have not developed proficient reading skills, which seriously hinders the development of learning. This may be an important reason why many students fall behind academically. The reading skills we talk about do not mean simply reading, but the ability to think while reading, and the ability to read while thinking. It refers to the ability to quickly prioritize and grasp the contents of the book according to the patterns of different books. A skill. This requires students to read more, pay attention to understanding the characteristics and reading skills of different books, strengthen the combination of reading and thinking, and consciously speed up reading to gradually develop fast reading skills.

2. Learn to write quickly

The academic burden in middle school is relatively heavy. If you do not master the skills of fast writing, this burden will be even heavier. For example, students cannot keep up with the teacher's speed in taking notes in class, they take too much time to complete homework after class, and they cannot finish the test paper because they write too slowly in exams. These phenomena are all related to writing skills. It can be said that writing skills are a tool through which we master knowledge. The state of this tool will determine whether we can use time effectively and rationally. Those students with slow writing speed should pay enough attention to this, consciously strengthen training in this area, and master this skill as soon as possible. Of course, while writing quickly, you must also ensure that your handwriting is clear and standardized.

3. Learn to take notes

Note-taking is a learning behavior that is combined with hands-on practice, which helps to understand and remember knowledge. It is a skill that must be mastered. The study notes of middle school students mainly include class notes, reading notes, review notes, etc. Class notes should be recorded in conjunction with the teaching materials, and the teacher's writing on the blackboard cannot be copied in full. When taking reading notes, you should pay attention to making punctuations and markings. The so-called "do not read without writing". When reviewing notes, attention should be paid to summarizing and organizing knowledge and clarifying the structure and connections of knowledge. It should also be pointed out that no matter what kind of notes are taken, difficult problems must be recorded so that they can be dealt with in a centralized manner.

Three learning abilities

1. The ability to independently explore knowledge

This ability can also be called self-learning ability. When the external conditions are exactly the same, Different students have different academic performance. There are many reasons for this, but one of the important reasons is the difference in self-study ability. Those outstanding students often have strong self-learning ability. They are not only satisfied with learning under the guidance of teachers, but also pay more attention to independent exploration of knowledge. They focus on self-study and understanding of books. When encountering problems, they are not eager to ask for advice, but first solve them through independent thinking. They always arrange their studies according to their actual situation, showing strong independence and autonomy. We believe that the greater the proportion of independent exploration among the knowledge a person has learned, the better the knowledge is mastered and can better promote his further development. Therefore, students should strengthen their self-learning spirit and awareness of independence during their studies.

2. The ability to cooperate with others

Human cognitive activities are always completed in a certain social environment. Therefore, while we advocate independent exploration of knowledge, we also need to strengthen cooperation with others. Collaborative learning with others, through collaborative learning, a more comprehensive and profound understanding of knowledge. Teachers speak and students listen, which is only a one-way transmission. Mastering knowledge requires two-way and multi-way communication. Therefore, we must not only take the initiative to communicate more with teachers, but also have active discussions with classmates. Learning to listen carefully to other people's opinions and collaborate with each other to solve problems is also a social skill that is good at dealing with others. A philosopher once said: "I have an apple and you have an apple. After the exchange, we still have one apple. However, I have one thought and you have one thought. After the exchange, we will have two thoughts." "

3. Fluent expression skills

Some students think that only liberal arts require good writing and expression skills. In fact, the answer process required by science is also a kind of expressiveness. The expressive ability we are talking about here includes not only written expression, but also oral expression. In many learning activities, being good at speaking and being able to express one's thoughts accurately and freely is an important learning ability. Language is a tool for communicating with others, and it is also a manifestation of thinking ability. Failure to pay attention to the training of expression ability will not only affect interactions with others, but also affect the development of thinking, and thus affect learning. Therefore, students should consciously strengthen self-training of expression ability.

Four kinds of thinking qualities

In layman’s terms, whenever people encounter problems in work, study, or life, they always have to "think about it." This kind of "thinking", It’s thinking. It processes perceptual materials and transforms them into rational understanding and problem solving through a series of processes such as analysis, synthesis, generalization, abstraction, comparison, concretization and systematization. The concepts, judgments and reasoning we often say are the basic forms of thinking. Whether it is students' learning activities or all human inventions and creations, thinking is inseparable. Thinking ability is the core of learning ability, and cultivating high-quality thinking is one of our most important learning tasks.

1. Agility

Refers to the reaction speed and proficiency of thinking activities, which is characterized by quick and flexible thinking when thinking about problems, and being good at making decisions and solving problems quickly and accurately. To develop thinking agility, you should pay attention to: 1. Master basic knowledge and basic skills proficiently, practice makes perfect. 2. Think ahead when listening in class, think before the teacher explains, and turn the process of receiving knowledge in class into a thinking training activity. 3. Do scheduled homework and consciously limit time to complete learning tasks.

2. Profoundness

Refers to the level of abstraction and logical reasoning in thinking activities, which is characterized by the ability to deeply understand concepts, analyze problems carefully, and be good at grasping the essence and laws of things. We should pay attention to cultivating the profoundness of thinking; 1. Get to the bottom of things, ask why everything happens, and resolutely abandon rote memorization. 2. Actively carry out problem research, write small papers, and develop the habit of in-depth study.

3. Holisticness

Refers to the quality of thinking that is good at grasping all aspects of a problem without neglecting its important details. When considering problems, always start from the overall perspective and be able to handle the relationship between the whole and the parts well. To cultivate the integrity of thinking, you should pay attention to: 1. Learn knowledge from a systematic level, pay attention to the overall structure of knowledge, and summarize knowledge frequently. 2. Look for connections and differences between old and new knowledge, explore uniqueness, separate personalities, and learn new knowledge through comparison. 3. Pay attention to the vertical and horizontal connections of knowledge, refine knowledge through integration, and understand its key, core and essence.

4. Creativity

Refers to the creative consciousness and innovative spirit of thinking activities, non-conformity, singularity, and change, which are manifested in creatively asking questions and creatively solving problems. To cultivate creativity in thinking, you should pay attention to: 1. Strengthen the independence of learning and maintain due curiosity. 2. Enhance problem awareness. Pay attention to discovering problems and asking questions during classroom listening and reading. 3. Pay attention to the divergence of thinking, and carry out multiple solutions and changes in problem-solving exercises.

Four good teachers and helpful friends

In our study, in addition to substitute teachers, we also have three special "teachers". Their role is as important as the teacher, and they are also important in our study. mentor.

1. Self-confidence

In actual learning, many students always think that they are dumber than others and have little faith in their own abilities. They don't dare to solve difficult problems, and even if they give answers, they always suspect that they are incorrect, and they don't dare to challenge their classmates who are good learners. This lack of self-confidence seriously hinders the progress of learning. If everyone has huge potential, then self-confidence is the golden key to developing huge potential. At any time, we must realize that although there are differences between people, the potential that each person can develop is limitless. As long as you dare to think, dare to do, and never admit defeat, you will be able to achieve success unstoppably. Confidence is the first teacher in learning.

2. Textbooks

Textbooks are the second teacher in our study. Textbook knowledge is the most basic knowledge. It is always with us. Whenever we have a question, the first thing we think of is to consult the textbook. Not only that, textbooks also play a role in training students' self-learning ability. It is difficult for students who do not pay attention to reading textbooks and only use textbooks as exercise books for after-school exercises to learn knowledge well.

3. Classmates

"When three people walk together, there must be a teacher from me." Classmates are the third teacher in our study. Learning not only requires two-way transmission between students and teachers, but also requires multi-way communication among classmates, making collaboration among classmates more convenient. Through discussions and debates among classmates, it helps to develop ideas, stimulate thinking, and promote each other.

4. Teachers

Our classroom teacher is the fourth teacher in our study.

This is not to belittle the role of teachers, it just means that teachers are more accessible and convenient to their classmates without textbooks. The important role of teachers is to teach the key to knowledge and is the peripheral driving force for students' learning. Therefore, it is particularly important to listen carefully during class.

Miscellaneous talks on learning methods for middle school students

"Facing modernization, facing the world, and facing the future" is the fundamental guideline for the entire educational work and the objective requirement of the development of the times. The surge in the amount of information and the rapid development of knowledge are prominent features of today's knowledge world. When looking at the future and development, methods are more important than pure knowledge. Many education experts believe that the "illiterates" in the future will no longer be illiterate people, but people who have not learned how to acquire knowledge, cannot delve into problems on their own, and have no foresight. This requires students not only to master knowledge, but more importantly, they must learn how to learn. The scientific method is the alchemy and the bridge to success. Especially today, when knowledge updating is accelerating, it is particularly important to master scientific learning methods and have the ability to acquire knowledge independently.

A person who can only passively learn and cannot actively explore knowledge