1. Logical thinking ability: Mathematics is a rigorous subject, which requires students to have good logical thinking ability and be able to understand and use logical reasoning, proof and deduction.

2. Abstract thinking ability: Abstract concepts and symbols are often involved in mathematics. Students need to have the ability to abstract concrete problems, understand and use abstract concepts to reason and solve problems.

3. Attention and concentration: Mathematical problems often need repeated thinking and deduction, and students need good attention and concentration, and can continue to pay attention to the key points and details of the problem.

4. Perseverance: There may be difficulties and setbacks in the process of mathematics learning. Students need perseverance, be able to overcome difficulties and make constant efforts.

5. Ability to analyze and solve problems: Mathematics learning is not only memorizing formulas and theorems, but more importantly, it can analyze and solve practical problems. Students need to have the ability to analyze and solve problems, and be able to apply mathematical knowledge to practical situations.

6. Creative thinking ability: Students are often required to think and explore creatively in mathematics. Students need to have creative thinking ability and be able to put forward new problems, methods and solutions.

7. Good mathematical foundation: Learning mathematics requires a certain mathematical foundation, including basic mathematical concepts, operation rules and problem-solving methods. Students need to have a solid mathematical foundation in order to better understand and master more advanced mathematical knowledge.