Many mathematical concepts need to be represented by mathematical symbols. For example, dy represents the differential of function Y, and mathematical symbols are a unique way to express mathematical concepts, which plays a great role in students' understanding and forming mathematical concepts. It simplifies and clarifies the thinking process of students mastering mathematical concepts. The definitions of many mathematical concepts are expressed by mathematical symbols, thus enhancing the scientific nature.
Many mathematical concepts also need to be represented by graphics. Some mathematical concepts are graphics themselves, such as parallelogram, pyramid, hyperbola and so on. Some mathematical concepts can be represented by graphs, such as the image of y=x+ 1 Some mathematical concepts have geometric significance, such as the differentiation of functions. The combination of numbers and shapes is another unique way to express mathematical concepts, which visualizes and quantifies mathematical concepts.
In a word, mathematical concepts are gradually formed and developed in the process of human historical development.