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Salivanth comments on How valuable is it to learn math deeply? - Less Wrong
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Some lessons that I've learned from attempting to solve hard and tricky math problems, which I've found can be applied to problem-solving in general: (a) Focus hard and listen to confusions; (b) Your tendency to give up occurs much before the point at which you should give up; (c) Don't get stuck on one approach, keep trying many different approaches and ideas; (d) Find simpler versions of your problem; (e) Don't beat yourself up over stupid mistakes; (f) Don't be embarrassed to get help.
But of course I don't mean to say that learning math is the only way or the best way to learn these techniques.
I wanted to thank you for this. I read this post a few weeks ago, and while it was probably a matter of like two minutes for you to type it up, it was extremely valuable to me.
Specifically a paraphrase of point B, "The point where you feel like you should give up is way before the point at which you should ACTUALLY give up" has become my new mantra in learning maths, and since I do math tutoring when the work's there, I'm passing this message on to my students as well.
So, thank you very much for this advice.