"Thinking about the world with mathematical thinking" advocated by the core quality of mathematics refers to cultivating students to solve problems with mathematical thinking methods and understand and apply mathematical knowledge and concepts. This way of thinking includes abstract thinking, logical thinking, problem-solving thinking, reasoning and proof thinking. It emphasizes finding the essence of the problem through mathematical observation, analysis and reasoning, putting forward reasonable solutions, and using mathematical knowledge to verify and explain.

By studying mathematics, students can cultivate the following core qualities:

1. Modeling ability: Students can abstract real-life problems into mathematical models, and then solve and analyze them by mathematical methods.

2. Reasoning ability: Students solve problems through reasoning and proof, and improve their logical thinking and deductive thinking ability.

3. Problem-solving ability: Students can use mathematical methods and ways of thinking to solve practical problems and improve their problem-solving ability and innovative thinking.

4. Abstract thinking ability: Students can abstract problems from specific situations, form general laws and concepts, and improve abstract thinking and promotion ability.

Generally speaking, "thinking about the world with mathematical thinking" means that students not only master mathematical knowledge and skills, but also understand the essence and thinking mode of mathematics and can apply it to daily life and other disciplines. Such mathematical thinking is not only conducive to students' personal learning and development, but also plays a positive role in solving practical problems and participating in social life.