First of all, the knowledge learned in a math class in junior high school is much more than that in primary school. Furthermore, many primary school students can master mathematics by themselves, but junior high school mathematics is completely different, with more knowledge and complex knowledge points, which requires students to learn to preview actively. In the preview before class, take the initiative to master the context of knowledge points and draw what you have mastered and have questions. In order to study in a targeted way, there is a preview context to help you quickly keep up with the rhythm of the teacher's lecture. Secondly, what you don't understand in the preview can help you understand and analyze the teacher's ideas and methods in class, so that the classroom can be efficient and the math class can be prepared. Therefore, preview is one of the important pre-class preparations for learning junior high school mathematics.
Second, learn to think positively.
Many students of the author reflect that they can understand a lot of contents in junior high school math class, why they still can't do it after class. Actually, in my opinion, this problem is caused by students listening more and thinking less in class. Many students only listen to the teacher in class and never take the initiative to think about why the teacher has such a way of thinking. Precision mathematics is to cultivate students' logical thinking ability. Once you only listen and think less, you will only lose the necessary traces of thinking about the logical relevance of knowledge, resulting in you not getting a topic after class. Therefore, the author suggests here that all students should think more in junior high school mathematics class and think about why teachers should deal with problems like this. How is this formula derived? Wait, you must be good at thinking about "100,000 whys" in class. Only in this way, the thinking logic of knowledge will be deeply imprinted in your mind, and you will also have the habit of active thinking and the ability to deal with problems independently when you get them.
Third, be good at summing up laws.
Having said that, the author first gives an example of a mistake that many junior high school students will make in math learning. Do many students always make mistakes on the same type of problems, often? I also took notes on the wrong questions. Why did I change this type of question into another form by mistake?
The emergence of this problem is actually that students lack the habit of summarizing laws. A kind of topic is repeatedly wrong, often wrong, indicating that you have not mastered the law of doing this kind of topic. Not only do you have to take notes on the wrong questions, but you also need to take out all the wrong questions, draw inferences by analogy, and find out where you are wrong every time. Is there any problem in mastering any knowledge points? Or other reasons. We should be good at summing up the rules, compare and summarize the same types of problems, sum up our own ideas and methods to solve problems, and then use the summarized rules and methods to solve such problems. So students, you should not only take notes on the wrong questions, but also be good at summing up the rules. Only by constantly summarizing and summarizing can your thinking be continuously improved and your problem-solving methods be continuously enriched.
Fourth, broaden the thinking of solving problems.
This is the weakness of many junior high school students whose grades have been at the passing level. Many students are used to solving problems with conventional methods and ideas when facing math test questions. Once the conventional methods are successfully solved, they don't ask questions, or simply choose to give up when they can't solve them. Many problems in junior high school mathematics require students to have flexible logical thinking ability, so you need to broaden your thinking of solving problems. When you solve a problem in the conventional way, you should try to solve it in other ways, and try to draw inferences from others. When your conventional method can't solve the problem, you should try to think in other ways. Therefore, in the face of junior high school mathematics learning, students need to constantly broaden their thinking of solving problems, achieve multiple solutions to one problem and various methods, and deal with ever-changing problems with changeable thinking.
Five, do five questions to solve the problem
In fact, this learning method requires students to analyze, understand, solve and summarize problems in five steps when they encounter examination questions.
Step 1: Think about what knowledge points this question is about.
Step 2: What do these conditions in the title tell me? What are you going to lead me to?
Step 3: What does the condition have to do with the result I asked for?
The fourth part: After this method is solved, can we try to solve it by other methods?
Step 5: What other topics have I done?