(1) course connotation
Mathematics curriculum should be devoted to achieving the training goal of compulsory education, facing all students, meeting the needs of students' personality development, so that everyone can get a good mathematics education and different people can get different development in mathematics.
(2) Selection and presentation of course content
The course content should not only reflect the needs of the society and the characteristics of mathematics, but also conform to the students' cognitive laws. The choice of course content should be close to students' reality, which is conducive to students' experience and understanding, thinking and exploration. The organization of course content should deal with the relationship between process and result, intuition and abstraction, direct experience and indirect experience. The presentation of course content should pay attention to hierarchy and diversity.
(3) Teaching process
Teaching activity is a process of active participation, interaction and development between teachers and students. Effective teaching activities are the unity of students' learning and teachers' teaching. Students are the main body of learning, and teachers are the organizers, guides and collaborators of learning.
(4) Learning evaluation
The main purpose of learning evaluation is to fully understand the process and results of students' mathematics learning, and to motivate students to learn and improve teachers' teaching. A multi-objective and multi-method evaluation system should be established. Evaluation should not only pay attention to the results of students' learning, but also pay attention to the learning process: not only pay attention to students' mathematics learning level, but also pay attention to students' feelings and attitudes in mathematics activities, so as to help students know themselves and build up confidence.
(5) information technology and mathematics courses
The design and implementation of mathematics curriculum should use modern information technology reasonably according to the actual situation, pay attention to the integration of information technology and curriculum content, and pay attention to practical results. We should fully consider the influence of information technology on the contents and methods of mathematics learning, develop and provide students with rich learning resources, take modern information technology as a powerful tool for students to learn mathematics and solve problems, and effectively improve teaching and learning methods so that students are willing and possible to participate in realistic and exploratory mathematics activities.