1, facing all, teaching students in accordance with their aptitude and attaching importance to the cultivation of mathematical consciousness.
Quality education should face all, develop in an all-round way and take the initiative to develop. Mathematics should face all, that is, it should be responsible for every student. While teaching most students, we should give consideration to those students who have difficulties and spare capacity in learning, so as to "make all students meet the basic requirements" and improve as much as possible. Modern teaching requires people-oriented, organically combining "teacher-led" and "student-centered", and teaching students in accordance with their aptitude on the basis of student-centered. Teachers should make use of the classroom as the main position in time, constantly mobilize students' learning initiative, establish students' self-confidence in learning, teach students mathematical knowledge and mathematical thinking methods, and make them form a scientific view of mathematics. Over time, students' mathematical consciousness is enhanced, they will consciously use mathematical thinking methods to deal with various practical problems, and they will also turn some seemingly unrelated problems into mathematical problems in daily life.
2. Strengthen the cultivation of logical thinking ability and form good thinking quality.
Mathematics education should not only pay attention to specific problem-solving skills and methods, but also pay attention to thinking methods in the process of generating mathematical knowledge, so as to cultivate students' mathematical ability and excellent mathematical quality. The logical thinking ability in mathematics is the ability to comprehensively analyze, abstract and summarize the attributes of mathematical objects according to the correct thinking laws and forms. It is one of the basic abilities of mathematics and the core of mathematics quality.
3. Strengthen the teaching of thinking methods and cultivate innovative ability.
Mathematical thinking method is the soul and essence of mathematics, and it is the core. It is a means for students to acquire knowledge, a link connecting all kinds of knowledge and a bridge from knowledge to ability. It is more general and abstract than knowledge. When students master mathematical thinking methods, they can acquire knowledge faster, understand knowledge more thoroughly and benefit for life. The thinking methods involved in middle school mathematics can be roughly divided into three types: technical (such as special, general, elimination, substitution, reduction, formula, undetermined coefficient method, etc. ), logical type (such as analogy, induction, analysis, synthesis, deduction, reduction to absurdity, etc. ), macro type (such as function and equation, classification discussion, combination of numbers and shapes, induction and conjecture, integration and reduction).
4. Strengthen language training, promote information exchange and improve comprehensive ability.
Mathematics itself has a strong comprehensiveness, and many knowledge such as politics, history, geography, physics, chemistry and biology are integrated into algebra and geometry textbooks. Therefore, mathematics should play the role of a basic discipline in teaching, strengthen intra-disciplinary relations, tap the intersection of knowledge, improve students' comprehensive application ability, help students solve mathematical problems in production and life of related disciplines, and correctly use mathematical language to express them.
Mathematical language level is an important factor to reflect a student's mathematical quality and ability. Mathematical language includes three forms: written language, graphic language and symbolic language. Written language is a logical, scientific and standardized daily language of mathematics. The graphic language is intuitive, vivid and vivid. Symbolic language is simple, abstract, accurate and universal. "Mathematical language is the carrier of mathematical thinking and a tool to solve problems". Without language, it is impossible to learn and communicate.
5, pay attention to the application of mathematics, actively carry out mathematical modeling, and cultivate the ability to solve practical problems.
The advantage of a person's mathematical quality lies not only in how many mathematical theories he has mastered, but also in how many mathematical problems he can solve. It is more important to see if he can solve practical problems in real life with mathematical ideas. Middle school students are lively, have certain social life experience, and have strong curiosity and thirst for knowledge. They like to learn mathematical knowledge and talents that have a vivid realistic foundation and are necessary for future work. In the teaching process, teachers should consciously combine theory with practice, combine life with social practice, focus on the needs of students' future real life, let students learn really useful things, adapt to the changing and developing world, guide them to care about society and the future, and let students learn to solve problems and form a strong sense of applied mathematics.
Therefore, it is the call of the times and historical necessity to strengthen the cultivation of middle school students' mathematics quality, cultivate their attitude of "loving learning", their mood of "being happy to learn", their skills of "learning" and their ability of self-study, and highlight "optimizing thinking quality and cultivating thinking ability". We are convinced that with the deepening of education reform and the continuous efforts of the majority of mathematics educators, quality education will surely bear fruitful results.