The new curriculum reform is a revolution of educational ideas, which requires teachers to "teach for quality". In the process of teaching, we should straighten out the correct relationship between teaching-oriented and learning-oriented, establish the educational concept of "teaching for the sustainable development of mankind", and complete the role change from traditional knowledge disseminator to student development promoter. Under the new concept of "student-oriented development", teachers' responsibilities are not single, but comprehensive. As the instructor, organizer and collaborator of students' classroom learning, teachers should pay attention to the personality development of each student, guide students to actively participate in the teaching process, let them gain emotional experience, accumulate knowledge and explore themselves, and attach importance to the cultivation of innovative spirit and practical ability. In the teaching process, with the help of correct mathematical demonstration means, students are taught to understand the connotation and extension of mathematical concepts, and finally concrete thinking is formed.
At present, scientific research presents new interdisciplinary features. As a basic subject, the new curriculum reform of senior high school mathematics has incorporated "research learning" into the curriculum plan, and enriched the preparatory knowledge such as vector, probability statistics and calculus. Under the framework of new curriculum content, most teachers can't complete all the guidance work for students' projects by themselves because of their lack of comprehensiveness and foresight, which requires teachers to establish cooperative working ideas. From focusing only on this subject to other related subjects, from being used to narcissism to learning to appreciate the work and ability of other teachers, from completing teaching tasks independently to learning from each other's strengths together with other teachers. In practice, it not only broadens the knowledge of mathematics teachers themselves, but also makes teaching close to reality.
Second, lifelong learning, improve literacy
The new curriculum reform of high school basic subjects adapts to the situation, faces the future and serves the sustainable development of talents. Looking at the new mathematics textbooks, students' mathematical awareness of finding and solving mathematical problems in their lives has been increased, and their viewpoints, styles and contents have been significantly improved compared with before. It is worth noting that the "teacher's teaching book" matching with the new textbook provides less "unique" or "standard" answers, less things to copy, higher new standards and requirements, and closer integration with reality. In this way, it is difficult for math teachers to maintain the authority and monopoly of students' learning content by relying on their old books. Students have strong learning initiative and the classroom is open and dynamic. Under the new situation, teachers are in the position of students' choice for the first time. They must re-examine their knowledge structure, internalize lifelong learning into self-study behavior, always maintain a research attitude, and strive to become an educator with profound knowledge, solid basic knowledge and modern information quality.
In order to form a multi-level and diversified knowledge system, teachers should strengthen the accumulation of knowledge and gradually realize a qualitative leap. As the implementer of high school mathematics textbooks, we should rethink the vertical extension and horizontal connection of old and new knowledge on the premise of thoroughly understanding the outline and studying the textbooks, and aim at the connection points, differences and growth points of new knowledge. We should study hard the new theories and knowledge of mathematics and grasp the frontier dynamics of mathematics development; Consciously broaden the knowledge of related disciplines and realize the exchange and integration of multiple disciplines. In addition, we should make more efforts in preparing lessons, create problem situations, attach importance to students' original mathematical cognitive structure, respect individual differences, prepare for possible problems or unexpected situations of students, and avoid randomness, one-sidedness and subjectivity in teaching. Finally, the knowledge structure of mathematics specialty will be transformed into a highly unified compound knowledge structure including natural science, social science and humanities. Change from closed structure to open structure; From passively accepting structure to actively creating structure. By actively selecting and absorbing new knowledge, we can transform and update our own knowledge system.
Third, stimulate interest and improve teaching
In the new curriculum reform, developing intelligence factors is not the whole of quality education. Non-intellectual factors such as students' learning purpose, interest, will, attitude and habit are the power system to promote the teaching process and realize the teaching effect, and play a role in starting, maintaining and regulating the students' learning process. In the process of improving mathematics teaching mode in senior high school, we should pay attention to absorbing the research results of educational psychology, fully grasp the characteristics and artistry of mathematics teaching, and further exert the potential influence of non-intellectual factors. Pay attention to the teaching of mathematical ideas and mathematical background knowledge in teaching, and introduce mathematicians' stories, mathematical anecdotes and historical materials, so that students can understand the generation and development of knowledge and appreciate the role of mathematics in the long history of mankind; Be good at comparing the differences between old and new knowledge, cause cognitive conflicts, cultivate students' questioning habits, guide students to find the internal relationship between current problems and their existing knowledge system, and strengthen problem awareness and innovative spirit; Finally, we should show students the ins and outs of knowledge through comparison, classification, analogy, induction and deduction, analysis and synthesis, and let them know why.
Fourth, with the help of science and technology, enrich the means.
Mathematics is an abstract basic subject, and the visualization of teaching content is an important guarantee to realize teaching effect. The new curriculum reform is put forward in response to the needs of the times. Paying attention to the application of modern information technology and actively developing and making corresponding teaching AIDS and visual teaching AIDS are conducive to its effective implementation. Modern teaching AIDS such as projectors and computers have created good hardware conditions for the modernization of teaching. They have changed the traditional classroom teaching mode, which focuses on the transmission of information by language, and transformed the transmission of abstract knowledge into vivid pictures to stimulate students' senses and enhance their memory. Mathematical knowledge, which used to be considered difficult to understand, has become intuitive and vivid through computer simulation and demonstration, which is helpful for students to understand concepts and be familiar with the formation process of knowledge. In addition, the wall charts, pictures, models and slides matched with the teaching materials also increase the visual information transmission effect. With the development of the Internet, online teaching of mathematics has become possible, and the emerging online teaching resources such as mathematics electronic textbooks have also brought convenience to the development and exchange of mathematics teaching, which is conducive to enriching students' knowledge and completing the task of inquiry learning.
Five, clear purpose, improve the evaluation
The basic education in middle schools aims at comprehensively improving the comprehensive quality of citizens' ideological and moral quality, scientific and cultural accomplishment, physical and mental health, labor skills, etc., and focuses on developing individuality. As an evaluation mechanism to evaluate the teaching effect, it should be adapted to it. Different from the past, in the new high school mathematics curriculum, three modules of "mathematical modeling, inquiry into problems and mathematical culture" have been added, the main purpose of which is to cultivate students' mathematical quality. Under the new teaching framework, mathematics teachers are required to start from reality, change the concept of evaluation criteria, pay attention to the principles of participation, process, integration and encouragement, and establish a brand-new evaluation system that gives consideration to achievements and can discover and develop students' potential. The purpose of evaluation is to improve the design of mathematics curriculum and the process of mathematics teaching. Among them, it is necessary to focus on the assessment of students' ability to comprehensively apply the learned mathematical knowledge and solve practical problems, and further improve the teaching evaluation standards centered on cultivating innovative thinking and strengthening the awareness of mathematical application.