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I've seen people with a great deal of natural ability. I'm certainly one of them. But most never got as good at maths as me, because my father began teaching me before an age I can remember. I also never got as good as some others, with arguably less natural ability, because my father didn't know what an amazing maths education looks like either—he grew up in the middle-of-nowhere, went off to college, and realized, "I really should have learned all this stuff earlier," and did his best to do so for me, but he was learning about competition maths at the same time as me. This is not to say that competition maths make an "amazing maths education", just that competition maths coaches exist, and they know exactly how to best teach students maths, while I learned mostly through trial and error.


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