Think_Different wrote: ↑
12 Oct 2018 17:26
Это по поводу IMO? Как раз с точностью до наоборот. Задачи отбираются чрезвычайно тщательно и отличаются высокой степенью оригинальности. Если нет таланта/способностей то хоть обрешайся стандартными задачками из учебников (и задачами прошлых imo).
В этом и смысл олимпиад такого уровня - выявить самых талантливых в плане поиска оригинальных решений нестандартных задач.
Я соглашусь, что ребята талантливые, но насколько самые-самые? В современной системе много талантливых ребят просто не дойдет до етого уровня. Многие сломаются/потеряют интерес на предварительных раундах. Приводили уже на етом форуме из блога Тани Ховановой. Лучше не скажешь.
What? Is that a joke? Perhaps you’re having the same reaction. Because this is exactly what is happening with math competitions. The official USA math competition has three rounds: AMC, AIME and USAMO.
AMC is a multiple-choice competition with 25 problems in 75 minutes. To be good at it, you need speed, accuracy and the ability to guess well.
AIME is 3 hours long and has 15 problems. The problems are a different level of difficulty and guessing will not help you. Though AIME is also multiple-choice, unlike AMC where you choose out of 5, in AIME you choose out of 1,000. But you still need speed and accuracy. A small arithmetic mistake will cost you the whole problem.
USAMO is a competition that runs for 9 hours and has 6 problems. The problems are much harder and you have to write proofs. Proofs? What proofs? Where are the proofs coming from? It is like you got to the national swimming championship because you are a great runner, but you do not know how to swim.
As the result of this system of selection, the USA team at the International Math Olympiad has diverse skills: these kids are good at all three types of the math competitions. It is like taking an Olympic triathlon team to the Olympic swimming event.
However, the US loses by selecting in this way. There are many kids who are great mathematicians: they may be good at difficult problems but not that good at speed-racing problems. An arithmetic mistake costs you only one point at IMO, but a whole problem at AIME. There are kids who are deep mathematicians prone to small arithmetic mistakes. They could get a gold medal at IMO, but they can’t pass AMC or AIME.
Not only that. As many AMC problems are boring and do not require ideas, AMC might discourage kids from all math competitions at an early stage.
"There is no reason anyone would want a computer in their home." -- Ken Olson, president, chairman and founder of Digital Equipment Corp., 1977.