1. Abstract thinking ability: Mathematical thinking requires people to abstract general laws from concrete things and form concepts and theories. This abstract thinking ability is the basis of mathematical thinking.
2. Logical thinking ability: Mathematical thinking requires people to be able to use logical reasoning methods to deduce unknown conclusions from known conditions. This logical thinking ability is the core of mathematical thinking.
3. Spatial imagination: Mathematical thinking requires people to observe, analyze and operate spatial graphics to form spatial concepts. This kind of spatial imagination is an important part of mathematical thinking.
4. Ability to analyze quantitative relations: Mathematical thinking requires people to analyze the quantitative relations between things and grasp the essential characteristics of things. This ability to analyze quantitative relations is an important means of mathematical thinking.
5. Ability to solve problems: Mathematical thinking requires people to use the mathematical knowledge and methods they have learned to solve practical problems. This ability to solve problems is the ultimate goal of mathematical thinking.
6. Innovative thinking ability: Mathematical thinking requires people to find new methods and ideas in the process of solving problems and form innovative thinking patterns. This innovative thinking ability is an advanced expression of mathematical thinking.
In a word, mathematical thinking is a comprehensive ability, involving abstract thinking, logical thinking, spatial imagination, quantitative relationship analysis, problem solving and innovation. By cultivating and improving these abilities, people can better understand and apply mathematical knowledge and solve practical problems.