Problem description:
The more detailed, the better. It is best to have a review content and outline. Separately, English is the key (mastering and expanding grammar and vocabulary).
Analysis:
Math:
As we all know, the main function of the human brain is thinking, and mathematics is just a subject to cultivate people's thinking ability. A thoughtful mind cannot be changed into gold. It keeps you from losing yourself in the face of complicated things. It enables you to deal with complex problems in an orderly way and show your wisdom and strength.
So, is it difficult to learn math well? Will it be difficult for you to go back to primary school math now? Of course not. That's right. On the one hand, it is because primary school mathematics is really not difficult; On the other hand, you are now a junior high school student, standing at another height of life. You look down on (or despise) the content of primary school mathematics that you have studied. First of all, you are a winner psychologically. In fact, we also need this kind of psychology when we study mathematics. Imagine, if you were a high school student, what would you think of the content of junior high school mathematics?
Nothing in the world is difficult for one who sets his mind to it. When you enter middle school, you should adapt to the teaching of junior high school mathematics as soon as possible and work hard on understanding. Mathematics is the most reasonable subject, and mathematical language is the most rigorous language. We should try our best to change the status quo of passive learning, study actively and catch up with our academic achievements as soon as possible. According to my years of teaching experience, I think it is very important for students to master correct mathematical ideas and methods, which is the key to get twice the result with half the effort.
The so-called "math learning, one step behind, one step behind", does it mean that you have left a lot of content behind, and you can't learn new knowledge anyway? That's not the case at all. I often tell my classmates that there are only two hopes for you to study hard, one is the classroom and the other is yourself. Listen carefully in class. If you don't know anything, it's because you didn't learn the old knowledge related to this knowledge point well, so that your thinking is stuck somewhere. What you have to do at this time is to make up the previous knowledge related to this knowledge point. In fact, the best way is to develop a good habit of previewing, preview new lessons in advance, find problems, seriously think about the causes of the problems, and see if it is because a certain knowledge point in the past has not been mastered well, so as to ensure that the new lessons can be understood. Of course, without perseverance, people will accomplish nothing. If you don't have the perseverance and determination to solve the problem by yourself, no one can do anything. The so-called evil deeds in heaven are still alive, but you can't. This is a fact.
To learn junior high school mathematics well, we must start from the following aspects:
First, run self-confidence through the process of solving problems.
In the usual learning process, many students feel that they have a good grasp, but once they do a problem, they often can't do it. The teacher pulled it and suddenly it became clear. In other words, these problems are not absolutely impossible. As long as you think carefully, analyze and synthesize, use various mathematical ideas and methods, compare drawing, writing and calculation, and through tortuous reasoning or calculus, you can gradually find the essential relationship between the conditions and conclusions of the topic. Self-confidence is the secret of success, not empty talk. Be confident in the face of slightly complicated problems. You know, these problems are generally not beyond our own knowledge, and we can solve them with what we have learned. Dare to think and be good at thinking, which is a very important thinking quality. When solving specific problems, we must carefully examine the questions, correctly distinguish conditions from conclusions, and grasp two main links: First, we must firmly grasp the * * * relationship between this problem and a class of problems, and think about the general ideas and general solutions of such problems; The second is to firmly grasp the particularity of this topic and the difference between this topic and this kind of topic. Choose one or several conditions as the breakthrough point to solve the problem, and see what transitional conclusions can be drawn from these conditions, the more the better, and then filter out useful conclusions for further reasoning or calculus. This is what teachers often tell students: "Smart students study together, and unintelligent students study together". You know, the ocean of problems is endless. Only by drawing inferences from others can we jump out of the ocean of problems and understand the mystery of mathematics learning.
Second, remember
Third, talk about "method" and "thought", and guide "method" with "thought". The two complement each other. Necessary basic knowledge is the key to skilled problem solving.
Fourthly, forming good thinking quality is the basic mathematics to understand mathematical problems. As a discipline to cultivate people's thinking ability, it is fascinating with its rational thinking. Unlike sightseeing in the mountains, it is pleasing to the eye because of its charming scenery and lingering. Mathematics learning is to study the spatial form and quantitative relationship of things through thinking and reflection, so that the spatial form and quantitative relationship of things can be presented. Only by forming a good thinking quality and pulling away the appearance of things with the sharp blade of good thinking quality can we "see" the essence of things.
So what is a good thinking quality? Let's take the phenomenon of "visiting" in our life as an example to illustrate. Many people have this kind of life experience, let others take it to others' homes once, twice, maybe many times. One day you have to go to someone else's house by yourself. When you walk near someone's house, facing the same building, you are at a loss and don't know where someone is.
In the process of learning, we often have such a phenomenon. In class, the teacher made it very clear, and the students just nodded, which made me feel very clear. And let the students do the questions themselves, and they don't know where to start. The main reason is that students do not think deeply about what they have learned and do not understand the essence of what they have learned. Just like on the way, every time we go to other people's homes, we should remember the geographical environment around them, especially the special signs. To understand the characteristics of what you have learned and what you need to remember, especially what mathematical ideas and methods are involved in this part of knowledge, you need to master it in time. The content of this kind of memory should be carefully remembered, and only by remembering the necessary knowledge can thinking be based. In addition, pay attention to taking notes. Bacon said in On Knowledge: "Taking notes can make knowledge accurate. If a person is unwilling to take notes, his memory must be strong and reliable. " Pay attention to the key points the teacher said, especially some empirical and regular knowledge summarized by the teacher, so as to review in time after class. After-class review, we should think about which problems have been passed and which problems have not been passed, and do a good job of checking and filling gaps in time.
The above talks about how to learn junior high school mathematics well from four aspects. In order to learn junior high school mathematics well, in addition to the above, the key to learning mathematics well is hard study spirit, serious and careful study attitude and good study habits. In the classroom, we should not only learn new knowledge, but also subtly learn the teacher's way of thinking to solve problems. In the face of a problem, we should think ahead, find out our own way of thinking, and then compare our own way of thinking with the way of thinking of teachers, learn from each other's strengths and form our own way of thinking. Change "I want to learn" into "I want to learn", cultivate the initiative of learning and overcome the situation of passive learning. Really master the essentials of mathematics learning. The test of whether you can learn math well is whether you can solve problems. Understanding and memorizing the basic knowledge of mathematics, mastering the ideas and methods of learning mathematics is only the premise of learning mathematics well, and the ability to solve problems independently and correctly is the symbol of learning mathematics well.
Language:
First of all, we should establish a concept of "big language". First, let it serve you like a tool; The second is to use it to understand and appreciate life. This requires us to be a conscientious person in our daily life. For example, watching TV, movies, newspapers and magazines, surfing the Internet, traveling and so on. What you see and hear is expanding your knowledge of Chinese. At ordinary times, you write leave notes to teachers, leave messages to parents, correspond with classmates and relatives, even chat with you during recess to exchange views, answer teachers' questions in class, speak at class meetings, report your thoughts to teachers and so on. You are using Chinese again. What's more, the correct outlook on life and values you learned in politics class, the way to look at things with dialectical and developmental eyes, the understanding of historical events and historical figures in history class, and the knowledge of topography, landforms, humanities, natural landscapes, customs and other knowledge you learned in geography class, do you think, which one is not closely related to Chinese? Therefore, to learn Chinese well, we should cultivate the good habit of observing, thinking and accumulating, and consciously integrate all kinds of knowledge. Only in this way can we learn Chinese well easily and happily.
English:
First of all, you should be interested in this course, and then you should have an attitude. As the saying goes, "Attitude is everything". Of course, it is also important to listen carefully, raise your hand actively and practice oral English. Even if you preview and review, it is important to organize your notes.