1. Mathematical thinking is an abstract thinking, which needs to be expressed by symbols and formulas. Mathematicians usually use symbols and formulas to describe and solve problems instead of using language directly.
2. Mathematical thinking is a kind of logical thinking, which needs to follow certain laws and principles. Mathematicians usually use axioms, theorems and proofs to ensure that their work is correct.
3. Mathematical thinking is an innovative thinking, and it needs to constantly find new methods and ideas. Mathematicians usually try different methods to solve the same problem and choose the best solution.
4. Mathematical thinking is a systematic thinking, which needs to combine different parts to form a complete system. Mathematicians usually use various tools and techniques to help them build and manage complex systems.