Mathematical methodology mainly focuses on the theory and practice of mathematical methods and mathematical thinking. And mathematical thinking refers to the way of thinking and analyzing mathematical problems. In recent years, the research and teaching of mathematical methodology has gradually turned to the development of mathematical thinking, which is mainly due to the following reasons:

Increasing the complexity of problems: With the more and more extensive application of mathematics, the problems involved are becoming more and more complicated. In order to solve these problems better, we need to have stronger mathematical thinking ability, such as innovative thinking and critical thinking.

Strengthen interdisciplinary: There are more and more intersections between mathematics and other disciplines, such as physics, chemistry and biology. The research of these subjects needs the support of mathematical thinking, so the cultivation of mathematical thinking becomes particularly important.

Popularization of mathematics education: With the popularization of mathematics education, more and more people need to learn mathematics, and the cultivation of mathematical thinking is one of the core goals of mathematics education. Therefore, the research and teaching of mathematical methodology also need to turn to the development of mathematical thinking.

The need of mathematical modeling: Mathematical modeling is a bridge between mathematical theory and practical problems. Mathematical modeling needs mathematical thinking ability, so the research and teaching of mathematical methodology also need to pay attention to the cultivation of mathematical thinking.

To sum up, it is an inevitable trend for the research and teaching of mathematical methodology to turn to the direction of mathematical thinking. Only by constantly improving students' mathematical thinking ability can we better meet the needs of social development.