The idea of combining numbers and shapes can help teachers to improve students' mathematics core literacy more effectively. The combination of numbers and shapes is a teaching method combining mathematics with geometric figures, which can not only improve students' mathematical thinking ability, but also deepen their understanding and memory of geometric concepts.

In junior high school mathematics teaching, teachers can guide students to observe geometric figures, thus forming mathematical concepts, such as parallel lines and vertical lines. At the same time, teachers can also apply mathematical knowledge to the calculation of geometric figures, for example, by calculating the area, perimeter and other numerical values to test students' understanding of geometric figures.

In senior high school mathematics teaching, teachers can describe geometric figures or spatial shapes by mathematical methods with the help of three-dimensional geometric models or vector figures, and combine geometric figures with statistical ideas, such as using data analysis and visualization methods to describe the performance and changing laws of various geometric figures in practical applications.

In competition mathematics, teachers can use the idea of combining numbers and shapes to let students understand and solve problems with the help of images. At the same time, images can be used to express high-dimensional mathematical knowledge, which can improve the intuition and simplicity of understanding.

The idea of the combination of numbers and shapes is an effective mathematics teaching method, which can help students better understand and remember mathematics knowledge, improve students' mathematics core literacy, and provide a better platform for students to expand their thinking and problem-solving ability.

Expand knowledge:

Mathematics is a subject that studies concepts such as quantity, structure, change, space and information. Mathematics is a general means for human beings to strictly describe and deduce abstract structures and patterns of things, and can be applied to any problems in the real world.

All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics.