Implement quality education, improve mathematics classroom teaching methods, proceed from students, and make teaching moderate, properly guided, lively and interesting, homework appropriate, and teaching students in accordance with their aptitude. Guide students to be good at summarizing and cultivate students to master mathematical thinking methods. Only by optimizing multiple links of education and teaching and organically combining teaching with educating people can quality education be comprehensively and deeply promoted.

The main position of quality education is the classroom; In school, the implementation of quality education is a systematic project, which requires all educators to devote themselves wholeheartedly and participate in all aspects; As a teacher, only by seriously changing the concept of "exam-oriented education", practicing basic teaching skills, reforming examination evaluation methods, optimizing all aspects of education and teaching, and organically combining teaching with educating people, can quality education be comprehensively and deeply promoted. How to realize the transformation from "exam-oriented education" to "quality education"? The key is to improve classroom teaching and implement quality education. Improve junior high school mathematics classroom teaching, starting from students, so as to achieve proper teaching methods, proper guidance, lively and interesting lectures and proper homework, so as to give full play to students' main role in the teaching process, so that students can learn actively and get better all-round development.

One of the most important principles in teaching is to know the students. Therefore, teachers should put understanding the actual situation of students in the first place. Understand their basic knowledge, their learning motivation and habits, and what concepts and calculation mistakes they are prone to make. This requires teachers to change their roles frequently, stand on the students' point of view, try to figure out the students' ideological status, intellectual characteristics, hobbies and psychological activities and laws, and carefully prepare lessons and organize teaching according to these laws. Some students said that the teacher spoke clearly in class, but didn't know how to start. The reason is that teachers only speak according to their own intentions in class and do not organize teaching according to students' cognitive rules. Therefore, when preparing lessons, we must understand students' thinking and master students' cognitive rules, so that teaching can be targeted and conform to students' reality. In junior high school mathematics teaching, teachers can exchange roles with students, so that teachers can better understand students, reform teaching methods, expand students' thinking ability, mobilize students' initiative and enthusiasm, and thus improve teaching quality. One of the main tasks of mathematics teaching is to develop students' thinking ability. To develop students' thinking ability, it is necessary to arouse their enthusiasm, and the purpose of reforming teaching methods is at this time. Therefore, in the teaching process, teachers must proceed from students' cognitive laws, carefully design and organize, inspire students' thinking, and make students not have to explain the problems they can solve one by one. Students should be encouraged to find problems, ask questions and express their opinions boldly. Students should actively explore the laws that students can understand and master through their own exploration. Teachers should be students' guides and friends to explore together. The exchange of roles between teachers and students is conducive to expanding students' thinking ability.

Appropriate teaching methods should be suitable for both the specific situation of students and the content of textbooks. Many teaching methods have been created at home and abroad, especially in today's in-depth development of educational reform, and a lot of teaching experience has been accumulated. However, it is impossible to stimulate students' interest in learning and improve teaching quality by copying a teaching method and teaching model for a long time without considering the specific situation of students and the specific content of textbooks. People often say that "there is a law in teaching, there is no fixed law in teaching, and there is a good law in teaching", which means that teaching rules should be followed in teaching, but different teaching methods must be adopted according to different situations in order to receive better teaching results, which is called "good law". According to the content of different textbooks and the situation of different students, it is the appropriate teaching method to choose the teaching method that students are interested in, which takes less time and gains more, so as to better play the main role of students in the teaching process and achieve the purpose of implementing quality education. Any teaching method is inseparable from the guidance of teachers, which has a positive effect on developing students' intelligence and inspiring students' thinking. "Learning is expensive and doubtful, small doubts and small progress, big doubts and great progress". Therefore, good guidance should set more doubts, set good doubts, and lead thoughts with doubts. Inspire thinking with questions. Guidance should also pay attention to protecting the enthusiasm of students' thinking. In the process of teaching, students often have a spark of thinking in generate. Although sometimes the direction of these ideas may not conform to the route set by the teacher, don't deny him easily, but guide him to continue to "drill" and see the results, which will often get twice the result with half the effort. The process of solving application problems, especially those with strong comprehensiveness, is actually the process of establishing mathematical models. In teaching, some practical problems (such as interest, stock, profit and population) can be compiled according to the teaching content, so as to guide students to observe, analyze, abstract and summarize into mathematical models and cultivate their modeling ability.

Primary school students' attention and willpower are not stable enough. They often know things by interest, are willing to work hard on things they are interested in, and are often unwilling to do things they are not interested in. Interesting teaching process can make students learn with interest, thus reducing their academic and psychological burden and changing passive learning into active learning. Creating a good classroom atmosphere is the premise of an interesting teaching process. Therefore, in classroom teaching, teachers should not only impart knowledge, but also run through the whole teaching process with love for students. With love, words will be kind and warm, and with love, students' progress and success will be affirmed and praised in time. With love, you can give patient help and enthusiastic encouragement to the students born later. Only in this way can we create a harmonious, harmonious and warm classroom atmosphere, which is the best atmosphere for students to learn. In the process of mathematics, we can tell some interesting stories that students like to hear, and tell stories about the history of mathematics development and mathematicians in history, such as the vicissitudes of mathematical theory, the deeds of mathematicians' growth, the contributions of mathematicians in scientific and technological progress, the origin of some conclusions in mathematics, etc., which can not only understand the history of mathematics, enrich knowledge, but also increase students' interest in mathematics and learn innovative spirit. At the same time, we should always dig up some "jokes" in the teaching materials, so that students can smile at the right time while accepting new knowledge, which can achieve the effect of happy teaching and is also a manifestation of quality education. Interesting teaching process is inseparable from flexible and diverse teaching methods and means, and just the right doubts can make students unable to guess, figure out and throw away; Can't let go, thus stimulating students' interest in exploring and enterprising. The "self-study method" gives students greater autonomy in learning and can give full play to their main role. Introducing old teaching methods can make students enjoy the fun of discovery. The combination of image teaching and practice can make students better grasp the mathematical thought from concrete to abstract, from special to general, from practice to theory. It can be windy, and more "changes" can make it more "interesting". Interest is the best teacher. A strong interest in learning can make people's senses and brains in the most active state, and they can receive teaching information best; A strong interest in learning can effectively induce learning motivation and urge students to consciously concentrate and devote themselves to learning activities. In teaching, by introducing China's outstanding achievements in the field of mathematics and its wide application in life, production and other sciences, students' motivation to learn mathematics well can be stimulated. By designing situations, asking questions, guiding students to explore and discover, and letting students experience the happiness of success and discovery; Use appropriate teaching methods and means to stimulate their thirst for knowledge and curiosity, thus cultivating their strong interest in learning.

The purpose of homework is to deepen and consolidate students' knowledge and cultivate their ability to analyze and solve problems independently. Too much homework is one of the reasons for students' heavy academic burden. Therefore, some homework arrangements must be appropriate to minimize unnecessary duplication of work. Do: 1, never leave what you can do in class to do outside class, try to be knowledgeable in class and consolidate and improve in class. There is little or no homework. For example, questions, fill-in-the-blank questions and multiple-choice questions in textbooks can be answered orally in class or filled in directly in books. 2. The topic selection of homework should be purposeful and representative, not only suitable for junior high school students' memory rules, but also pay attention to reducing the arrangement of repeated questions. 3. Pay attention to teaching students in accordance with their aptitude, because students of different levels spend a lot of time on the same homework. Hierarchical assignment can not only strengthen the cultivation of good students, but also reduce the burden of poor students. In short, the right amount of homework should be "less but better". In the process of classroom teaching, teachers should make all kinds of summaries in each class, and also consciously let students summarize. Generalization ability is a reflection of comprehensive quality. Cultivating students' summing-up ability, that is, cultivating students' ability to concentrate on thinking, is complementary to cultivating students' thinking of seeking differences. Concentrated thinking enables students to master all kinds of knowledge accurately and flexibly, sum up and refine their own opinions, which is the basis of thinking differently, ensuring the breadth, novelty and scientificity of thinking differently. Cultivate the ability to summarize, and give students as many opportunities to summarize as possible in classroom teaching, such as summarizing the content of a class on a problem; Summarize the results of the discussion; Summarize the pros and cons of the debate. In each conclusion, select a number of students to speak and ask them to express their unique understanding and not agree with each other. After summing up, let the students ask the deeper questions they found in order to further extend and expand their thinking.

The key to improving the quality of classroom teaching and implementing quality education lies in teachers, who are good at learning. Only by being good at learning, learning scientific teaching methods, absorbing valuable teaching experience, and "activating" these methods and experiences into the whole teaching process through teaching practice, can junior high school mathematics become a subject that students enjoy and love learning, and can students be liberated from the heavy academic burden and implement quality education. Of course, improving teaching methods, improving teaching quality and improving students' quality in an all-round way are our endless exploration topics.