First, read.
Reading: reading the text. Students should read the content of the next lesson word for word, make clear the central problem, make clear the purpose requirements, and strive to understand the basic structure of new knowledge (such as definitions, theorems, problem-solving methods, etc.). ) and make a general grasp.
Two: check
The continuity of mathematical knowledge is strong, the previous concepts are not understood, and the following courses cannot be learned. If you find that you don't understand the concepts you have learned during the preview, you must refer to the relevant content before class and make it clear, so as not to leave any questions after self-examination.
Three: thinking
Learning begins with thinking, and thinking begins with doubt. Why ask more questions about the previewed content? From the introduction of methods to the connotation and extension of concepts, from the method of proving problems to the basis of proving problems. When preparing for the preview, you should think: What are the key points and difficulties of this section? What are the meanings of concepts, theorems and formulas? What are the conditions? How to use formulas (positive, negative, variable). There are many formulas in the math textbook. Students should temporarily put down their textbooks in preparation, think about how to deduce and compare, or compare with the teacher's deduction process in class, so as to find out whether they have made any deduction mistakes. For the textbook example, I also try to do it first, and then compare it with the answers in the textbook to see if there are other solutions or simpler methods (multiple solutions to one question), so that I can analyze and solve problems independently and check my learning situation. Generally speaking, the formula can't be deduced or the derivation is wrong, and the examples can't be done or made wrong, all because they are not prepared enough for their own knowledge, or have forgotten what they have learned, or what they have not learned yet. As long as they try to make up for it, there will be progress. In short, think more and learn to question when previewing.
Four: Proportion
The significance of comparison is to find out the similarities, similarities and differences between these knowledge and related knowledge through reading, and bring them into the corresponding knowledge chain. For example, students can learn the definition of arithmetic progression, the general formula and the summation formula of the previous items. And they can learn by classification when previewing the contents of geometric series. As can be seen from the definition of two series, the difference between arithmetic progression and geometric progression is that the difference (sum) is converted into the ratio (product), and the two series can be compared in the form of a table. Familiar with the characteristics of the two series in comparison, strengthen the memory of the structure.
Five: remember
Taking notes is to preview notes, which helps to improve the preview effect. Short notes can be circled directly in the notebook, and difficult, doubtful and complicated contents should be written in the notebook. What you don't understand in the preview should be analyzed and thought vertically and horizontally by combining the old and new knowledge. If you seek an answer, you can write it down. When you talk about these places in class, you should compare your understanding in preview with what the teacher said to see if there is any misunderstanding. If you can't think of the answer, write down the question and tell the reason when listening to the teacher.
Six: practice
In the process of preview, writing and doing, whether the concept is understood and the method is mastered can be tested through practice. The exercises in the math textbook are all aimed at consolidating the learned knowledge. You can try to do these exercises in the preview. You try to do them because you don't emphasize that you must do them right, but to test the effect of your preview. The preview effect is good, and all the exercises attached to the book can be done.