1. The charm and ubiquity of mathematics: Mathematics is a basic tool to explore the world, and it is inseparable from the application of mathematics in both natural science and social science. Many problems in daily life, such as shopping discount, financial investment and engineering design, need mathematical knowledge to solve. Mathematics is a very logical and aesthetic subject. Through study and exploration, we can appreciate the unique charm of mathematics.
2. History and culture of mathematics: From ancient knot counting to modern computer science, the development of mathematics is full of twists and turns and glory. The stories and contributions of famous mathematicians such as Archimedes, Gauss and Euler can inspire us to pursue Excellence in mathematics. Mathematics is not only a science, but also a culture, and its development is closely related to the process of human civilization.
3. Basic concepts and principles of mathematics: Algebra, geometry and probability are the basic concepts and principles of mathematics, and a deep understanding of these concepts is helpful to solve various mathematical problems. Through examples and exercises, consolidate the understanding and application ability of mathematical principles.
4. Mathematical thinking and problem-solving methods: Cultivating mathematical thinking helps to improve the ability to find and solve problems, thus better coping with various challenges. Enumeration, induction, deduction and reduction to absurdity are common strategies to solve mathematical problems.
5, math games and interesting topics: Sudoku, Rubik's Cube, Huarong Road and other math games can exercise thinking ability and improve interest in mathematics. Some classic and interesting topics, such as chickens and rabbits in the same cage, and 100 chickens for 100 yuan, can lead to in-depth thinking on mathematical problems.
The benefits of learning mathematics
People who are good at math are relatively smart and savvy, and they can show their advantages in dealing with people. The faster you think, the more ways and ideas you have. Cambridge, majoring in financial mathematics at Carnegie Mellon University in the United States, said that studying mathematics has brought her mental exercise and made me pay more attention to the rigor of thinking in my life.
For example, before solving a problem, I like to divide it into several sections, and each section is divided into several steps, so that I can dig slowly like a branch instead of thinking in confusion in front of a pile of data. Mathematics is the foundation of other disciplines, and it is easier for people who learn mathematics well to get into other disciplines. Learning software, computer, finance and other engineering majors is even more handy.