Mathematical competition is one of the effective means to discover mathematical talents. Mathematics competition in the modern sense began in Hungary. Most of the winners of some major mathematics competitions have made great achievements in their later careers.
Therefore, all developed countries in the world attach great importance to mathematics competitions. In the past ten years, mathematics competitions in middle schools in China have developed vigorously, with increasing influence. In particular, middle school students in China have been among the best in the most influential and highest-level international mathematical olympiad for many times, and their achievements have attracted worldwide attention, fully demonstrating the intelligence and mathematical ability of the Chinese nation.
It is necessary and beneficial to show one's intelligence and know about the competition situation in China through mathematics competition.
Differences and relations between mathematics competition and competition mathematics
Competition mathematics is an extension of a subject. The math contest is an activity. Competition mathematics is the standard written language of Olympic mathematics, which is the abbreviation of Olympic mathematics and refers to mathematical problems in general. Olympic mathematics is named after the Olympic movement, and the scientific standard should be called competition mathematics.
Because competition mathematics is accompanied by mathematical competition, so when it comes to the emergence of competition mathematics, we must first explore mathematical competition.
1, A Brief History of Mathematics Competition
Mathematics competition is similar to sports competition. It is an intelligence competition for teenagers, so the Soviet Union pioneered the term "Mathematical Olympics". In similar intelligence contests with basic science as the competition content, mathematics competitions have a long history, with many participating countries and the greatest influence.
The more formal math competition began in Hungary in 1894, and has been held for more than 90 times up to now, except for seven sessions suspended due to two world wars and the incident of 1956. The mathematics competition in the Soviet Union began at 1934, while the mathematics competition in the United States began at 1938.
Apart from the three years during World War II, these two countries have held more than 50 competitions. Other countries with a long history of mathematics competitions include Romania (1902), Bulgaria (1949) and China (1956).
2. The development of mathematics competition.
Mathematics competitions have gradually developed from a single city to the whole country and then to the whole world. For example, the math competition in the Soviet Union started in Leningrad and Moscow, and 1962 was extended to the whole country. In the United States, there was no national mathematics competition until 1957.
Mathematical competition activities are also gradually developed from shallow to deep.
In almost every country, mathematical competitions are organized by some famous mathematicians. The test questions are very close to the exercises in the middle school textbooks, and then gradually deepen. Some mathematicians spend more energy on selecting topics and organizing competitions. At this time, the test questions are gradually out of the scope of middle school textbooks. Of course, it is still required to state the questions in elementary mathematical language and solve them by elementary mathematical methods.
For example, at the beginning of the Soviet Mathematical Competition, famous mathematicians such as André Andrey Kolmogorov, Aleksandrov and Tommy Tam Nie all took part in this work. In the United States, famous mathematicians such as boekhoff and his sons Paulia and Kaplanski participated in this work.
After the start of the International Mathematical Olympiad, the preparation work of the participating countries is often mainly an intensive training for athletes to broaden their knowledge and improve their ability to solve problems. This kind of training class is very difficult, much deeper than middle school mathematics. At this time, several mathematicians are needed to specialize in this activity.
"Competition Mathematics" is a new course with the development of mathematics education curriculum. The course involves the contents, ideas and methods of mathematics competition; It also involves the essence, methods, laws and ways of mathematics competition education and mathematics extracurricular education; The relationship between extracurricular learning and classroom learning; Tutor teachers to further study and improve.
The course takes the main contents involved in mathematical competition: number theory, algebra, geometry and combinatorial mathematics as the carrier, and pays special attention to the exploration of mathematical thinking methods, aiming at improving students' mathematical literacy.
Competition mathematics is different from these fields of mathematics. Usually, mathematics often seeks to prove some generalized theorems, while competition mathematics only seeks some special problems. Generally, mathematics pursues to establish general theories and methods, while competition mathematics pursues to solve special problems with special methods. Once a problem comes out, it becomes an old problem and needs to continue to create new ones.
Competition mathematics belongs to the category of "hard" mathematics, and usually, like pure mathematics, it takes its inherent beauty, including the simplicity of questions and the cleverness of answers, as an important criterion to measure its value.
Competition mathematics can't develop independently without the existing branch of mathematics, otherwise it will become passive water, so it is often written by experts in some fields. For example, Shan Zun, an excellent coach of China delegation who participated in the International Mathematical Olympics, is an expert in number theory.
1. What do primary school tutors need? As a high school student, can I be a tutor
I also run a cram school. \ r \ n \ r \ There is no need to go through