Olympiad mathematics is interesting mathematics, difficult mathematics, well-solved mathematics, and mathematics used for competition and selection. Olympic Mathematics has a certain effect on teenagers' mental exercise, which can exercise their thinking and logic, and it plays a more profound role for students than ordinary mathematics.
There are some basic contents of some branches of mathematics, such as graph theory, combinatorial mathematics, number theory and so on. This is something we don't usually talk about in math class, and there are also very important mathematical ideas, such as structural thinking, specialized thinking, transformation thinking and so on.
Dabbling in this kind of knowledge is conducive to cultivating students' interest in mathematics, expanding their thinking and strengthening the organization of thinking. They are the supplement and expansion of classroom teaching. Olympic math problems are generally more difficult.
Since it is for the competition, it should certainly be difficult. They are the deepening and perfection of ordinary classroom content. Different questions have different perspectives and need in-depth analysis to answer. Such questions can examine students' mastery of basic knowledge.
The extended data Olympic Games was once called "interesting mathematics" in China, because there are many Olympic Games questions, especially in primary schools, which are very interesting and fun. This kind of Olympic math problem seems simple and almost everyone can understand it; The topic is lively and interesting, but it is very confusing.
There are many solutions, most people only use stupid methods, which are troublesome and time-consuming, while the correct and quick solutions are often simple and ingenious. Olympiad or mathematics is the expansion of classroom mathematics. The most authoritative classification in the world is probably to divide mathematics into dozens of categories, 100 or more.
One-dimensional linear equation, plane geometry, trigonometric function, linear equation (group), analytic geometry, solid geometry, set theory, inequality, sequence and so on. As mathematics education, of course, we should focus on these contents, because they are the core methods and fields of mathematics, but these contents are not fully covered even in the category of elementary mathematics.