The compulsory education mathematics curriculum should have the following characteristics:
1) Fun should put interest in the first place, so that students feel that mathematics is interesting, can not destroy students' appetite for learning mathematics, and whether most students do not hate mathematics is an important indicator of the success of mathematics education and an important criterion for evaluating teachers. Someone once said that after decades, there is still a nightmare of learning mathematics, which is undoubtedly a failure of mathematics education.
2) Intuitiveness should pay attention to the cultivation of students' observation ability, so that students pay attention to the objective relationship between observation quantity and shape, quantity and quantity, Hilbert is the author of "Intuitive Geometry", and Euler also emphasizes observation, calculation, and experimentation. Intuitiveness is very important, without intuition there is no proof, intuitively understanding is understanding, teachers should also intuitively understand the teaching materials.
3) Inspiring to inspire students to discover laws through observation, experiment, and calculation, and inspire students to think.
4) Skills include calculation skills, modeling skills, etc.
5) The training of logical plane geometric reasoning is still necessary, so that students can learn to think analytically and methodically, which is okay in junior high school. To respect the development of individuality, there is a free and open environment in Europe and the United States, where middle schools are divided and provided with optional content, many first-year liberal arts students are still learning analytic geometry and quadratic equations, and some high school science students are learning calculus (which is intuitive and interesting).Streamed education is in line with the principle of teaching students according to their aptitude, and high schools must be separated.
On the basis of the above characteristics, we further think that the compulsory education mathematics curriculum should also focus on cultivating students' innovation ability and problem-solving ability. This is because mathematics is a creative subject, and the history of mathematics is also a history of continuous innovation. Therefore, we should focus on inspiring students' innovative thinking in teaching, encouraging them to think independently, have the courage to explore, and discover new mathematical laws and problem solving. At the same time, mathematics is also a widely used subject, and there is a shadow of mathematics everywhere in life. Therefore, we should pay attention to cultivating students' problem-solving ability in teaching, and guide them to apply what they have learned to practical life and solve practical problems. For example, students can improve their problem-solving skills through the process of modeling, analyzing, and solving mathematical problems by designing some mathematical problems with a real-world background. 
The compulsory education mathematics curriculum should focus on cultivating students' mathematical literacy and innovative spirit, so that they can improve their thinking ability and problem-solving ability while learning mathematical knowledge. At the same time, we should continue to explore and innovate teaching methods and methods to make mathematics education more in line with the needs of the development of the times and the needs of students' personalized development.