First, according to the content of mathematics teaching, infiltrate mathematical thinking methods.
Mathematical thinking method is the soul of mathematics, the essential understanding of mathematical laws, the key to cultivating students' good mathematical quality, and a powerful tool for students to acquire mathematical knowledge and develop their thinking ability. Once students master mathematical thinking methods, they will play a long-term role in their future study. Strengthening the guidance of mathematical thinking methods is an effective way to prevent students from polarization and improve the quality of junior high school mathematics teaching in a large area.
Compared with mathematical knowledge, the presentation of mathematical thinking method is hidden, and it is difficult for students to obtain it directly from the lines of textbooks independently. As a teacher, these thinking methods should be fully excavated from textbooks and fully reflected in teaching activities, from "latent" to "obvious", so that students can acquire mathematical thinking methods while acquiring mathematical knowledge and apply them to the study and exploration of new knowledge, thus gradually cultivating their thinking ability and improving their mathematical quality. For example, in the teaching of quadratic equation in one variable, I focused on how to straighten out the relationship among collocation method, formula method and factorization method, so that students can use these thinking methods flexibly to solve some practical problems, which not only makes them learn simply, but also improves their thinking ability.
Second, take students as the main body and cultivate students' "participation" spirit.
Quality education requires everyone to succeed, but the inconsistency of students' intellectual development and the imbalance of good study habits have caused their differences in learning. In order to make every student develop on the original basis and taste the joy of success by jumping, we should turn the process of teachers' imparting knowledge into a process of teachers' leading and students' active participation in active exploration, and turn the emphasis on imparting knowledge into a process of learning activities to stimulate students' curiosity, creativity and the development of students' potential, thus fundamentally changing students' passive position and making education a personality that attaches great importance to students.
In classroom teaching, one is to explore students' intrinsic motivation to learn mathematics, cultivate students' interest in learning, and let students actively "participate" in teaching activities; The second is to set learning objectives separately, so that students can choose independently and all students can "participate" in teaching activities; The third is to inspire and guide students to read, think, discuss, practice and summarize, so that students can learn to "participate" in teaching activities. Through this "participatory" teaching mode, every student is given equal opportunities, a learning atmosphere that everyone is eager to catch up with is created, their strong desire for success is stimulated, and their good study habits are cultivated.
Third, attach importance to students' non-intelligence factors and cultivate students' excellent personality quality.
The process of mathematics learning needs not only cognitive factors but also emotional factors. They are usually regarded as the operating system and the dynamic system in the process of mathematics learning. The particularity of junior high school students' physical and mental development determines that junior high school mathematics teaching should attach great importance to the role of students' non-intelligence factors. In teaching activities, it is an effective way to improve the quality of mathematics teaching to attach importance to the cultivation of students' non-intelligence factors and promote intelligence factors with non-intelligence factors. To do this, we should take students' ideological reality as the starting point of emotional education and cultivate students' excellent personality, because excellent personality is the concentrated expression of various non-intellectual factors and determines the direction, process and efficiency of cognition.
To carry out teaching, first, establish a new relationship between teachers and students, infect students with full enthusiasm, guide each student into the role, and stimulate their strong thirst for knowledge; Second, establish a new teaching concept, carry forward teaching democracy, and let students study happily and actively in a warm and comfortable atmosphere; Third, combine the contents of teaching materials, carry out purposeful education in time, check the completion of students' learning goals in time, and often praise their progress, so as to keep them full of learning enthusiasm and pursuit intention; Fourth, cleverly set the teaching situation, constantly enrich the teaching content, let students know the specific learning goals, and let every student learn something and make continuous progress.
Through teaching, we can cultivate students' thinking consciousness of reasoning, abstraction, induction, wholeness and optimization, so that students can form the qualities of honesty, integrity, perseverance and not blindly following, the habit of respecting truth and objective laws, and the rigorous attitude towards life, and form the thinking intention of grasping things and thinking about problems from the whole. When encountering difficulties, we will constantly create conditions, simplify the complex, turn the difficult into the easy, and make things develop in the optimal direction.
In a word, quality education should be implemented in mathematics classroom. Teachers must completely update their teaching concepts, give full play to students' main role, give them the initiative to learn, give them more opportunities to think, treat students' every problem well, help them establish the courage and confidence to explore when they encounter difficulties, let students taste the joy of success, try their best to tap each student's creative potential, and strive to cultivate them into new talents who dare to explore, innovate and think.