1, mathematics application consciousness: the mathematics field of vision is first manifested as the consciousness of applying mathematics knowledge to real life. Learners need to learn to find and ask questions from real life and use mathematical knowledge to solve these problems. For example, the discount calculation when shopping, the relationship between speed and time, the relationship between distance and speed and so on. , all need to use mathematical knowledge to solve.
2. Mathematical reasoning ability: Mathematical reasoning ability is the core of mathematical vision. Learners need to learn to draw conclusions or solutions from known facts or conditions through logical reasoning. The improvement of mathematical reasoning ability needs to pay attention to the understanding and mastery of basic knowledge such as concepts, theorems and formulas, and learn to use various reasoning methods, such as induction, deduction and analogy.
3. Mathematical abstract thinking: Mathematical vision is also manifested in the ability to learn abstract thinking. Abstract thinking ability refers to the ability to abstract specific problems into mathematical models so as to solve them with mathematical knowledge. This ability is particularly prominent when learning abstract mathematical knowledge such as functions, equations and geometry.
Application fields of mathematics:
1, scientific calculation: Mathematics is the basis of scientific calculation, which is used to study and solve various scientific problems. For example, in physics, mathematics is used to describe and explain various physical phenomena, such as mechanics, electromagnetism, heat and so on.
In chemistry, mathematics is used to describe and explain various chemical reactions, such as chemical reaction formulas and molecular structures. In engineering, mathematics is used to design and optimize various engineering structures, such as bridges, buildings and water conservancy projects.
2. Finance and Economics: Mathematics is also widely used in the field of finance and economics. For example, in finance, mathematics is used in investment analysis, risk assessment, financial modeling and so on. In economics, mathematics is used in statistical analysis, econometrics, mathematical economics and so on. These applications can help people better understand and predict economic phenomena and problems, so as to make more accurate decisions.
3. Computer Science: Mathematics is also widely used in computer science. For example, in the design and optimization of algorithms and data structures, mathematics is used to solve various calculation problems, such as sorting, searching, graph theory and so on.
In artificial intelligence and machine learning, mathematics is used in model design and optimization, such as linear regression and classifier design. In computer graphics, mathematics is used for image processing and computer vision. These applications can help people better design and optimize computer systems and applications.