According to the learning theory of modern constructivism, knowledge cannot be simply taught to students by teachers or others, but can only be actively constructed by each student according to his own existing knowledge and experience; At the same time, let students have more opportunities to express their thoughts, have full communication with classmates, and learn how to listen to others' opinions and make appropriate evaluations, which is conducive to promoting students' self-awareness and self-reflection. Therefore, the role of teachers in mathematics quality education should not be regarded as "imparting knowledge", but should be a promoter, enlightener, questioner and demonstrator of students' learning activities, giving full play to the role of "guidance" and truly embodying the educational thought of "students as the main body and teachers as the leading factor".

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& ltP> To promote mathematics quality education in an all-round way and make students become active explorers and thinkers, we must attach importance to the process of students' "learning" and do a good job of "reading, listening, speaking, writing and using" in students' mathematics learning.

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& ltP> 1. "Reading" in learning

& ltP> Modern society has entered the information age, which requires people not only to "learn" but also to "learn". "Learning" should be based on "reading", including:

& ltBR & gt 1. 1 Reading materials are the main materials for students to learn mathematics. It is carefully compiled by the experts who compile the teaching materials of mathematics courses on the basis of fully considering the physiological and psychological characteristics of students, the quality of education and teaching, the characteristics of mathematics subjects and other factors, and has high reading value. Reading textbooks include three links: before class, during class and after class. Reading textbooks before class belongs to understanding the contents of textbooks and finding difficult problems; Reading textbooks in class can help you understand the contents of textbooks more deeply and master relevant knowledge points. Reading textbooks after class is the deepening and expansion of the first two links, which can achieve a comprehensive and systematic understanding and mastery of the contents of textbooks.

& ltBR & gt 1.2 Reading magazines

In addition to reading textbooks, students should also read a wide range of extracurricular books, such as "Mathematics Extracurricular Reading Series for Junior and Senior High School Students" and "Mathematics for Middle School Students" published by Shanghai Education Publishing House. That is, reading newspapers can not only make students care about major events at home and abroad, but also make students pay attention to mathematics in our daily life, capture the mathematical information around them, appreciate the value of mathematics and understand the dynamics of mathematical research. However, compared with all kinds of review materials and problem sets, there are too few high-quality mathematics extracurricular reading materials infiltrated with modern science and technology.

& ltBR & gt Reading in mathematics learning is different from reading novels. It usually needs paper-and-pencil calculus and reasoning to "bridge the gap", and the brain needs to establish a flexible language conversion mechanism. & lt/P & gt；

& ltP>2. "Listening" in Mathematics Learning

& ltP> "Listening" in mathematics learning mainly refers to attending classes, which is an important link for students to acquire knowledge and learn.

& ltBR & gt Basic methods for students to learn knowledge systematically. Listening to class means not only listening to the teacher, but also listening to the classmates' speeches. & ltBR & gt2. 1

Listening to class is mainly to listen to the teacher's thinking in class, that is, the thinking process of finding problems, clarifying problems, putting forward assumptions and testing assumptions. Not only should you listen to every word of the teacher's explanation, analysis and play, but you should also grasp the key points, listen to the key steps and make a general description. Especially the difficult problems found or produced when reading textbooks.

& ltBR & gt2.2 Listen to your classmates.

Listening to and accepting other people's mathematical ideas and methods is not only listening to the teacher's class, but also listening to the classmates' speeches. The exchange of ideas between classmates can cause the sound of * * *. From this, we can learn how other students learn mathematics and thinking. Teachers' timely guidance and evaluation will help us broaden our thinking, stimulate our thinking, clarify our thinking and cause reflection. Learning to listen to the opinions of teachers and classmates and reflect on their own ideas is helpful to cultivate students' good personality, cultivate the spirit of unity and cooperation and enhance group cohesion.