I think these sort of anecdotes about genius mathematicians are rather disheartening. For many students, math is a struggle, even with the advantages of a good

I think these sort of anecdotes about genius mathematicians are rather disheartening. For many students, math is a struggle, even with the advantages of a good education. Hearing about how such-and-such a person derived the whole of number theory from an old Sesame Street book they found in the trash just makes me feel dumb in comparison. If anything, the examples given suggest that mathematical geniuses will find a way to contribute whatever the obstacles in their way. But what about the majority of students who are turned off the subject because they don't have the same drive and natural ability? What's fragile isn't the abilities of savants, but the belief of the average person that math is something they can do, rather than the preserve of the super-intelligent.