Mathematics is the language of the universe and is one of the greatest research fields in the world today. The root of the math tree starts with simple mathematics. For example, one digit plus one digit, one digit minus one digit, and the mathematical tree are combined into a more complex algebraic body, forming a true computational infrastructure. Like a trunk. As we get higher, the branches begin to form more specialist forms of mathematical understanding and mathematical thinking. Some examples of these are chemistry, economics, and computer applications.
Detailed explanation Mathematics is a language useful for solving problems. Mathematics education is to help students abstract from the real world into mathematical languages and solve problems using patterns available in that language. The goal is not to make calculations without relying on calculators, but to solve real world problems and to abstract them into mathematical language. The problem lies in the way we teach. In order to solve real problems, we need to proceed in order of problem-> abstraction-> computing-> solution. The way we teach now is to ask us questions before digestion. We already have an abstract form of problem. "3 + 2 how much?" Is an abstract form. We expect to perform calculations on this chain, the third step will reach the fourth step and check the authenticity of the result to evaluate the completeness of the calculation.
Indeed, mathematics is a structure. This is a language. Adding "2 + 2 = 4" is a computation, similar to spelling words correctly instead of writing sentences. However, the proof of "2 + 2 = 4" is mathematics. Proof is probably made up of a series of statements that mix mathematicians' mother tongues and mathematical symbols. These descriptions consist of a series of logical assumptions and facts indicating that 2 + 2 equals 4 and nothing else is equal. Proof is a poem of mathematics
Sometimes people read mathematical evidence and I think they are reading foreign languages. This book describes the language used in mathematical proofs and the various kinds of proofs used in mathematics. This knowledge is important for the development of strict mathematics. Therefore, strict mathematical knowledge is not a prerequisite for reading this book. We use a large number of set theories as examples in this document, but these examples are chosen to be understood intuitively, or at least to be fully explained. However, this does not mean that mathematics is not used as some examples. However, unless otherwise stated mathematics is simple. Knowledge of algebra is necessary to solve it