First, the basic idea put forward is 1, adjusting the course structure, compressing the required courses, and improving the diversity and selectivity of the courses. 2. Improve the way of learning mathematics, and cultivate the sense of application and innovation of mathematics. The standard especially emphasizes enriching students' learning methods, and actively advocates independent exploration, independent thinking, hands-on practice, cooperation and communication, and reading self-study in course teaching. 3. Emphasize the understanding of the essence of mathematics and downplay the formal expression of mathematics. The standard reasonably absorbs the concept of "emphasizing form and essence" in mathematics education in China, emphasizing the understanding of the essence of mathematics and neglecting formal expression. 4. Teaching should reflect the cultural value of mathematics. "Standard" regards mathematical culture as the course content alongside compulsory courses and elective courses, and requires it to run through the whole senior high school curriculum informally. This establishes the proper position of mathematical culture in the curriculum, shows that the standard attaches great importance to the function of mathematical moral education, and embodies its distinctive characteristics of the times. This will make the mathematics curriculum have a more comprehensive educational function, promote the development of students' knowledge and ability, and make students' emotions, will and values develop healthily. Second, the inspiration for me to understand the new curriculum standards is mainly reflected in our teaching methods and students' learning methods: 1, in-depth study of understanding standards and flexible use of teaching materials. 2. Highlight mathematical practice activities and cultivate students' exploration spirit. 3. Reasonably set up problem situations, so that students can form a positive mathematical experience by actively participating in activities. 4. Excavate the teaching content and enhance the interest in mathematics teaching. 5. Give full play to students' main role in mathematics learning, and let students develop the habit of active learning. 6. Advocate students to learn inquiry learning and inquiry learning, and cultivate students' exploration spirit. 7. Improve the ability to solve problems, cultivate the consciousness of applying mathematics, and learn the basic skills of applying mathematics in real life.