A guy on Twitter wrote,
Two things teach intellectual humility: people smarter than you, and maths. Doing math with people smarter than you is sort of a bit too much.
And that reminded me of Dad.
I grew up with a father who, with the best of intentions, wanted to share his love of math with his kids. David, I think, took the AP calc test in 8th grade (after taking AP chem in 7th); Christine took it in 9th. I was slower, and didn't take AP calc until I was a high school sophomore. I spent less time home schooling than they did, by my choice; I thought, correctly, that public school would be easier.
But it was hard for Dad to empathize with us, none of whom had his intuitive gift. He would get frustrated after the 3rd or 4th try at explaining something he thought was simple. (A normal reaction! which I empathize with more now.)
So my public school teachers would always comment on how I was good at math but I would always think, not really, it takes me forever to understand simple things.
Fortunately by the time he taught Matthew and Melissa, Dad had both gotten more patient and also spent the prior ten years teaching freshman college students at NJIT, so he had a more accurate baseline expectation. He also got better at telling them when they did something well, so afaik both of them enjoyed studying with him.
(Melissa covered four and a half "years" of math with him in a single year of homeschooling; she had been getting Cs in public school and we thought she might just be bad at math. Turns out that she is quite good at math but she has ADHD.)