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Home » Olympiad Section » High-School Contests » International Mathematical Olympiad » Previous IMOs » IMO 2005 Mexico » Results of the 46th IMO 2005 Mexico
 
Virtual score of former USSR?
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shobber
Birch & Swinnerton Dyer
Birch & Swinnerton Dyer


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#21
It is better to create problems than solving problems. Math olympiad only trains students to solve problems.

PostPosted: Thu Aug 04, 2005 7:57 pm  Back to top 
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manuel
Yang-Mills Theory
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#22
yes, that's true shobber.

PostPosted: Thu Aug 04, 2005 8:28 pm  Back to top 
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fleeting_guest
Yang-Mills Theory
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#23
manuel wrote:
i think the russian logic and way of thinking enables students to do well in olympiads (maybe not all perfect scorers) but also be prepared for future research and harder problem solving.
the chinese way of training students it is basically based in TRAINING as a methodic, algorithmic and automatic job. and math is not just this.


This idea of "Chinese automaton training" is probably exaggerated, and based on some (partially true, but also exaggerated) cultural stereotypes. The Chinese IMO people that I met were as creative as IMO champions from other countries. The Chinese system is much different from the Russian one at university and PhD level (well, for the Ph.D, the algorithm for the best students is usually to study outside China), and I think it is there, not the high school olympiad training, that the important differences develop. There is nothing really comparable to Gelfand's seminars in China (or anywhere else), or Manin's, although of course, such a system requires a very large number of highly-prepared students of which very few survive to the end.

PostPosted: Fri Aug 05, 2005 6:06 pm  Back to top 
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fleeting_guest
Yang-Mills Theory
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#24
shobber wrote:
It is better to create problems than solving problems. Math olympiad only trains students to solve problems.


There is not such a major difference between creating and solving. People who are very good at one activity are usually active in the other. Most chess masters are quite interested in inventing and solving problems, even if it is not their main activity, and all chess problemists are skilled chess players. Similar statements are true about math olympiads.

PostPosted: Fri Aug 05, 2005 6:14 pm  Back to top 
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qxy
Hodge Conjecture
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#25
fleeting_guest wrote:
shobber wrote:
It is better to create problems than solving problems. Math olympiad only trains students to solve problems.


There is not such a major difference between creating and solving. People who are very good at one activity are usually active in the other. Most chess masters are quite interested in inventing and solving problems, even if it is not their main activity, and all chess problemists are skilled chess players. Similar statements are true about math olympiads.


Quite agree! Mr. Green
I also think solving problems is a type of creating problems(such as lemmas!)

PostPosted: Mon Aug 08, 2005 8:59 pm  Back to top 
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