The extended thinking of mathematics refers to the in-depth thinking and analysis of problems through mathematical knowledge and methods, so as to draw broader and deeper conclusions and applications. This way of thinking can help us better understand and apply mathematics, and at the same time, it can also cultivate our logical thinking and innovative ability. For example, when solving practical problems, we can abstract and model the problems by using the extended thinking of mathematics, and then solve them by mathematical methods to get more accurate and comprehensive answers.

Moreover, the expanded thinking of mathematics can also help us find the application of mathematics in other disciplines, such as physics and economics.