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In the context of math contests, the careless mistakes aren't really careless, they're the result of doing math problems under time pressure.
by SamReidHughes 8y ago
In the context of math contests, the careless mistakes aren't really careless, they're the result of doing math problems under time pressure.
- waterhouse 8y agoIndeed. The most extreme I've encountered is the Ciphering Time Trials, where you have 100 problems and 60 minutes. The AIME has 15 problems and 3 hours, but each problem is complex, usually involving several layers of "ok, this is really that"; my friends and I learned to check our work carefully and repeatedly, and even then we usually made several mistakes. For the curious, here's a sample: https://artofproblemsolving.com/wiki/index.php/2017_AIME_I_Problems https://artofproblemsolving.com/wiki/index.php/2017_AIME_I_P...
- WalterBright 8y agoThe better one knows the math, the faster one can solve the problems. For example, I'd done so much trigonometry in college that I could see the solutions to problems several steps at a time, whereas in high school I'd have had to do them step by step. Putting time pressure on solving the problems is a good way to differentiate (!) different levels of mastery.