We often hear this kind of ridicule, and when we go shopping, it is impossible for us to establish a mathematical model and analyze the function before finally buying a bundle of vegetables. This kind of speech was even regarded as in the past? Learning uselessness? Hard evidence.
However, I think this misunderstanding is based on one-sided understanding of mathematics. They only regard mathematics as a tool, but never think that mathematics is also an idea. The rigorous logic in mathematics proves that the simple idea of a problem is the soul of mathematical thought.
The first is the strict logical proof in mathematical thinking. In the world of mathematics, we must first distinguish three concepts: definition, nature and theorem. Figuratively speaking, the definition is like a seed, the nature is the characteristics of the seed, and the theorem is like the branches and leaves after the seed grows. This kind of understanding is the same as knowing people in our daily life. To know a person, we must first know his name (definition), then we must grasp his characteristics (nature) if we want to have a deeper understanding of him, and finally, what habits he has and what he will do under what circumstances (theorem). So everything can be mathematics, which is actually a truth.
Secondly, simple ideas in mathematical thinking. We often lament the mathematical geniuses in history, how they came up with such amazing answers one after another, imperceptibly. Popular consciousness thinks that mathematics is a game of genius and genius, but it is not. Mathematics is a game for normal people. In the face of a math problem, we must first find out what this problem is, and then try to solve it. Sometimes it is not enough to solve a problem alone. Even solved a problem, and more problems followed. At this time, we have to think about whether to continue to solve problems one by one or to solve them in another way. This is a simple mathematical thought, which anyone can do, and it is an eternal thinking law in the universe.