Preview can enhance the pertinence of learning new lessons and improve the efficiency of listening to lectures. After previewing, you have a preliminary understanding of the content of the new textbook, solved the general problems, and sorted out the problems that you don't understand or seem to understand, laying a good foundation for attention orientation in advance. When listening to lectures, the goal is clear and more targeted, which can reduce blindness and improve the quality and efficiency of listening to lectures. Preview is a kind of active self-study before class. The process of preview is the process of independent learning and independent thinking. In the independent exploration of knowledge, self-study ability can be improved through exercise.

In the whole preview process, students are first required to circle, point, approve and memorize the original text while reading the textbook, but pay attention to the key points; Secondly, students are required to take preview notes after preview, including:

(1) Record the old knowledge that has not been mastered or forgotten during the preview;

(2) The basic contents, key contents and main mathematical thinking methods of the new textbook;

(3) Preview experience and questions that you don't understand;

(4) Try to do the basic training questions in the textbook, and find problems from trying to practice.

Let's talk about how to take preview notes in the first class "Quadratic Radical Multiplication and Division".

1, the old knowledge used in this lesson: the meaning of square root; Simplification; Decomposition factor and decomposition factor. (The third knowledge point may not be summarized by some students, but it will be realized after listening to the class, and it is impressive. )

2. The main content of this lesson: I will use the multiplication rule of quadratic root to operate; Simplifying quadratic root with inverse rule formula: the result requirement of quadratic root.

3, preview confusion: the use of the letter range after the question is not clear; It is not smooth to deal with the case that the root number is polynomial.

I think, after such in-depth preview and communication with teachers and classmates in class, we will master this knowledge.

Everything is "set in advance, and it will be ruined if it is not predicted." If teachers guide students to prepare notes carefully, students will not be in a passive state of accepting knowledge when listening. At the same time, due to the preliminary understanding of the basic content and ideas of the new textbook and the discovery of difficult problems, students' purpose of attending classes is enhanced, blindness is reduced, and they will learn actively, actively, easily and happily, thus improving learning efficiency.