Mathematics is a rigorous discipline, which is based on axioms and definitions. Symbols in mathematics mainly refer to various numerical symbols and operational symbols. Therefore, mathematics does not contain symbols, that is to say, when expressing problems, mathematical concepts and ideas are expressed by natural language, words and images, rather than numerical symbols and operational symbols.
Unsigned mathematical expression is mainly composed of the meaning represented by symbols and the norms of mathematical language. The meaning represented by symbols refers to the expression of mathematical concepts and ideas, usually in the form of natural language or pictures. The specification of mathematical language refers to the agreement of marking quantity or size in mathematics, such as distance, size and weight.
Mathematics has great advantages without symbolic expression. It can fully express mathematical concepts and ideas and make solving problems more intuitive, concise and easy to understand. At the same time, the expression of mathematics without symbols also has certain limitations, such as the accuracy of expression will be affected and the efficiency of solving problems will be reduced. Therefore, it is necessary to make a reasonable balance and choice in practical application.
Mathematics is a highly abstract subject, which expresses mathematical concepts and ideas through symbols. However, in mathematics teaching and research, because the expression of symbols is not the ideal entrance and exit, people have developed a mathematical expression without symbols, which is called unsigned mathematics.
Mathematics does not contain symbols, but mainly expresses mathematical concepts and ideas in a way similar to natural language expression. For example, the general term formula representing a series can be expressed in the natural language of "the nth term equals 2n+3" without symbols.
The unsigned expression of mathematics has the advantages of simple language and natural expression, which can help people better understand and apply mathematical knowledge. However, in practical application, because no symbols are used, the expression may be limited, such as precision and accuracy.
Chapter 3: Why do you need unsigned mathematics?
Symbol is the most commonly used expression in mathematics, which is usually rigorous and accurate. However, in the process of teaching and research, symbolic expression will increase the difficulty of learning and understanding, because using symbols requires certain mathematical knowledge and skills. Therefore, in order to enhance the popularization and operability of mathematics teaching and research, it is necessary to express mathematics without symbols.
The unsigned expression of mathematics adopts natural language, words and images, which can make the expression of mathematics more intuitive and concise. At the same time, the unsigned expression is also helpful for non-mathematics majors and beginners to learn and understand mathematical concepts and ideas more quickly and effectively.
Generally speaking, unsigned mathematics is an important manifestation of mathematics education and research. It has many advantages, which can make mathematics more vivid, intuitive and easy to understand, and is a necessary means to improve the level of mathematics education and research.