Senior two: improving efficiency is the key.
The key is to improve the efficiency of class.
During students' study, the time in class accounts for a large part. So the efficiency of class determines the basic situation of learning. To improve the efficiency of lectures, we should pay attention to the following aspects:
1. Preview before class can improve the pertinence of listening. The difficulty found in the preview is the focus of the lecture; You can make up the old knowledge that you haven't mastered well in the preview.
2. Science in the process of listening to lectures. First of all, make material and spiritual preparations before class, and don't leave books and books in class; Don't do too intense exercise or read books, play chess, play cards or have a heated debate before class. In order to avoid being out of breath after class, or unable to calm down.
The second is to concentrate on class. Concentration is to devote yourself to classroom learning, from ear to ear, from eye to heart, from mouth to hand.
Listening: Listen attentively, listen to how the teacher lectures, analyzes and summarizes, and listen to the students' questions and answers to see if they are enlightening.
Eye-catching: read textbooks and blackboard writing while listening to the class, watch the teacher's expressions, gestures and demonstrations, and accept the ideas that the teacher wants to express vividly and profoundly.
Heart orientation: think hard, keep up with the teacher's mathematical thinking, and analyze how the teacher grasps the key points and solves problems.
Mouth-to-mouth: Under the guidance of the teacher, take the initiative to answer questions or participate in discussions.
Reach: Draw the key points of the text on the basis of listening, watching, thinking and speaking, and write down the main points of the lecture and your own feelings or opinions with innovative thinking.
If you can achieve the above five goals, your energy will be highly concentrated, and all the important contents learned in class will leave a deep impression on your mind.
Pay special attention to the beginning and end of the teacher's lecture. At the beginning of a teacher's lecture, it is generally to summarize the main points of the last lesson and point out the content to be talked about in this lesson, which is a link to link old knowledge with new knowledge. Finally, he often summarizes the knowledge in a class, which is very general and is an outline for mastering the knowledge and methods in this section on the basis of understanding.
4. We should carefully grasp the logic of thinking, analyze the thinking and thinking methods of solving problems, and stick to it, and we will certainly be able to draw inferences from others and improve our thinking and problem-solving ability.
In addition, we should pay special attention to the hints in the teacher's lecture. For some key and difficult points in lectures, teachers often give hints about language, tone and even some actions.
The last point is to take notes. Notes are not records, but simple and concise records of the main points and thinking methods in the above lectures for review, digestion and thinking.
Methods of learning mathematics
(A) Make friends with math teachers
People's feelings are transitive, and the closer they are to the teacher, the closer they are to mathematics. How to become friends with teachers is very simple. You can ask questions in class or consult the teacher at any time, and you will naturally become friends.
(B) improve the efficiency of lectures
1. Prepare actively before class
The difficulties found in the preview are the focus of the lecture. You can make up the old knowledge that you haven't mastered well in the preview, so as to reduce the difficulties in the course of attending classes. After preview, you can improve your thinking level by comparing and analyzing what you can understand with the teacher's explanation. If we can finish the examples in the textbook and the exercises to be taught by the teacher in advance, we can also cultivate the ability of self-study. By comparing with teachers' teaching methods, we can find more methods and skills. In short, this will make your lectures more targeted, and you will know what to listen to and what to remember.
2. Science lectures
The process of attending class is not a passive participation process, so we should devote ourselves to classroom learning, from ear to ear, from eye to heart, from mouth to hand. I also want to keep thinking in front of the teacher: what would I think in the face of this problem? When the teacher explains, he should also think: Why does the teacher think so? What thinking method is used here? What is the purpose of doing this? Is there a better way to solve this problem? If there are more questions, the thinking will naturally be broadened.
Step 3 learn to take notes
Do you need to take notes when listening to math class? Of course! Remember not only, but also well. Of course, taking notes on everything is not taking notes. You should record it selectively according to your own lecture content.
Write down the questions you don't understand in class in time so that you can ask your classmates or teachers after class and understand them.
If you have questions about what the teacher said in class, you should write them down in time. This doubt may be your own misunderstanding or the teacher's negligence. After writing them down, it is convenient to discuss with the teacher after class.
Memorizing methods Memorizing the skills, ideas and methods of solving problems taught by teachers is helpful to inspire thinking, broaden horizons, develop intelligence, cultivate ability and improve the level of solving problems.
Remember to summarize and remember the teacher's after-class summary, which is very useful for concentrating the content of a class, finding out the relationship between key points and parts, mastering basic concepts, formulas and theorems, discovering existing problems, discovering laws and integrating classroom content.
(c) the actual execution of the business
Operation is the foundation. Be sure to give up the habit of using calculators at ordinary times, do calculations by hand and pay attention to standardization. Learning mathematics should put "calculation" in the first place, which is also the most important requirement of college entrance examination mathematics. Operation is ability. There is no clever way to improve your ability. Just take out your patience and serious practice and work out every number by yourself.
(D) Learn to reflect after class
1. Read your notes before you do your homework. Some students feel that they have heard what the teacher said clearly. But why is it so difficult to do the problem by yourself? The reason is that students' understanding of what the teacher said did not reach the level required by the teacher. Therefore, before you do your homework every day, you must take a look at the relevant contents of the textbook and the class notes of that day. Especially when the exercises are not matched, there are often no questions in the homework that the teacher just talked about, so it is impossible to compare and digest them. If you don't pay attention to this, you will accumulate many problems over time.
2. Strengthen reflection after doing the questions. Students must make it clear that the topic they are doing now is definitely not the topic of the exam. But to use ideas and methods to solve the problems we are doing now. So we should reflect on every question we have done and sum up our gains. To sum up: what is the content of this question and what method is used. Turn knowledge into pieces and questions into strings. Over time, build a scientific network content and method system. As the saying goes, "money is hard to buy." We think it is very valuable to finish your homework and look back carefully. This kind of "looking back" is a very important link in the learning process. It depends on how you do, what solutions are there, the position of the topic in the knowledge system, what is the essence of the solution, whether what is known and what is sought in the topic can be interchanged, and whether it can be added or deleted appropriately. With the above five "looking back", students' problem-solving ability can increase day by day and get twice the result with half the effort.
3. Take the initiative to review, summarize and improve.
(1) Read the textbooks, notes and test papers from beginning to end. Mark while reading, indicating which ones to extract later. Get into a habit: mark the material at any time and tell yourself what to read next time. If you keep this habit for a long time, you can read thick books into thin ones. Accumulate your own unique, that is, the most suitable materials for your review.
(2) Divide the contents of this chapter into two parts, one is basic knowledge, the other is typical problems, and make a good classification.
(3) When sorting out the basic knowledge, we should list all the definitions, theorems, rules and formulas we have learned, and we should be able to use them three times, that is, we can express words, images and symbols, and we can deduce and prove them. At the same time, it can be used in both positive and negative aspects.
(4) Formation of typical problems. We should classify them as much as possible, find out the positional relationship between them, and sum up the cause and effect of the problem.