1. Mathematical operations: including addition, subtraction, multiplication and division, mixed operations, simple operations, powers, square roots, proportions, fractions, decimals, etc.

2. Mathematical thinking: including problem analysis, modeling, reasoning, law exploration and solving complex problems.

3. Mathematical application: apply the principles of arithmetic, geometry, probability theory and number theory to solve practical problems.

4. Abstract thinking: establishing abstract models, carrying out abstract reasoning and solving abstract problems.

5. History of mathematics: record the classical mathematical problems in history, the research achievements of famous mathematicians, the development of mathematical culture, etc.

6. In addition, you can also record your classmates' learning progress, weaknesses and breakthroughs, as well as mathematicians' famous sayings.