1. Mathematics is the foundation of all sciences, and all major scientific and technological progress is closely related to mathematics. Without mathematics, there would be no computers, televisions and space shuttles, and there would be no such colorful life today.
2. Mathematics is a tool discipline, which is the basis of learning other disciplines and also a discipline to improve people's judgment, analysis and understanding.
Mathematics is not only a science, but also a universally applicable technology. It is the door and key to science. Learning mathematics is a very important measure to make oneself rational, and mathematics itself has its fun.
4. Mathematics can make you think about any problem more carefully without being confused. It can also make your brain react flexibly and deal with emergencies more rationally.
5. Mathematics gives people not only knowledge, but also ability, including observing experiments, collecting information, inductive analogy, intuitive judgment, logical reasoning, modeling and accurate calculation. These abilities and training will benefit people for life.
6. Experience is the foundation of mathematics, problem is the core of mathematics, thinking is the core of mathematics, development is the goal of mathematics, and thinking method is the soul of mathematics ... Mathematical thinking method is the essence of mathematical knowledge, the basic principle of analyzing and solving mathematical problems, and the important connotation of mathematical literacy. It is a catalyst for cultivating students' good thinking quality.
7. Mathematics is closely related to our life, so that students can realize that there is a lot of mathematical information in real life, and mathematics has a wide range of applications in real life, from which they can realize the value of mathematics and enhance their confidence in understanding and applying mathematics.
8. Let students realize that mathematics comes from life and is used in life. At the same time, let students realize that mathematics is higher than life. Mathematics can drive the development of society, improve the quality of life, and better motivate students to learn mathematics well.
9. Mathematics is widely used, ranging from the calculation of daily life, interest rate, insurance and medical expenses to astronomical geography, environmental ecology, information network, quality control, management and prediction, large-scale engineering, agricultural economy, national defense science and aerospace industry.
Extended data
The rigor of mathematics:
1. Mathematical language is also difficult for beginners. How to make these words have more accurate meanings than everyday words also puzzles beginners. Words such as open and domain have special meanings in mathematics.
2. Mathematical terms also include proper nouns such as embryo and integrability, but these special symbols and proper nouns are used for a reason: mathematics needs accuracy more than everyday language, and mathematicians call this requirement for linguistic and logical accuracy "rigor".
3. Stiffness is an important and basic part of mathematical proof. Mathematicians hope that their theorems can be inferred through systematic reasoning and axioms, so as to avoid relying on unreliable intuition to get wrong "theorems" or "proofs", which have appeared in many examples in history.
4. The rigor expected in mathematics changes with time: Greeks expected careful argumentation, but in Newton's time, the methods used were not so rigorous.
Newton's definition of solving problems was not properly handled by mathematicians through rigorous analysis and formal proof until the19th century.
6. Mathematicians have been arguing about the rigor of computer-aided proof. In the case that a large number of calculations are difficult to verify, it is hard to say that the proof is effective and rigorous.
Baidu Encyclopedia: Mathematics