1. algorithm, selected lectures on the history of mathematics;

2. Information security and password, matrix and transformation;

3. Optimization method and preliminary test design;

4. Overall planning method and graph theory, risk and decision-making;

5. Switch circuit and Boolean algebra, mathematical inquiry, mathematical modeling, etc.

6. Geometry, symmetry and groups on the sphere, Euler formula and classification of closed surfaces, bisection and extension of angles in number fields, sequence and difference, elementary number theory.

The value of the new content in the new high school mathematics curriculum, taking the algorithm as an example;

(1) enhanced the computer operation ability of rural school students.

(2) Adapting to the diversity of social needs and students' all-round and individual development, creating a curriculum implementation environment conducive to guiding students' active learning;

(3) Improve students' learning initiative, enhance students' learning quality, autonomous learning ability, cooperative learning ability and inquiry ability, and pay attention to the cultivation of students' practical ability, practical ability and innovation ability.