Mathematics is a subject that studies quantity, structure, change and space, and is known as the queen of science. Mathematics, as a discipline, runs through all fields of human beings, and plays an important role in both natural science and social science.

First of all, mathematical proportion can be understood as a concept of comparative size.

In mathematics, we judge the relationship between two quantities by comparing their sizes. For example, we can compare the sizes of two numbers to determine which number is larger or smaller; We can also compare the sizes of two sets to determine which set contains more or less elements. In real life, we often need to use mathematical proportion to make decisions and judgments, such as choosing goods with lower prices when shopping, or looking for players with higher grades in competitions.

Secondly, mathematical proportion can also be understood as a ratio or the concept of proportion.

A ratio is a numerical value used to express the proportional relationship between two quantities, usually expressed as a fraction or percentage. For example, we often use the ratio of income to expenditure to measure a person's economic situation; We can also use the ratio of height to weight to evaluate a person's physical health. Ratio can not only help us quantify and compare different quantities, but also provide us with information about the relationship between things.

In addition, mathematical ratio can also be understood as a comparative concept.

The comparison problem in mathematics refers to the problem of judging the similarities and differences between two objects by comparing their properties or characteristics. For example, we can compare the positive and negative of two numbers to determine whether they are the same number; We can also compare the shapes and sizes of two graphs to determine whether they are similar. By comparison, we can deeply understand the essence of things, find laws from them, refine * * * and then draw more general conclusions.

To sum up, mathematical ratio is not only a concrete numerical concept, but also an abstract concept of comparison and comparison.

Mathematical ratio is widely used. Mathematics can provide us with powerful tools and methods, whether we compare sizes from the perspective of quantity, measure relationships from the perspective of ratio and proportion, or judge similarities and differences from the perspective of comparison. It is precisely because of the comparative characteristics of mathematics that it plays an important role in scientific research, engineering technology, economic management and other fields.

What is the proportion of mathematics, just like the wide application of mathematics, is a question that cannot be answered simply.

Because the application and significance of mathematics are multidimensional, it has both concrete numerical concepts and abstract concepts of comparison and ratio. No matter in the process of learning mathematics or in the practice of practical application of mathematics, we should not be limited to the simple question of "how much to compare", but should always keep our thinking open and flexible in order to fully explore the far-reaching influence and wide application of mathematics.

At the same time, we should take mathematics as a tool and way of thinking to solve real life problems, and strive to discover and create new mathematical knowledge and application fields, so as to promote the continuous progress and innovation of mathematics in the development of human society.