@engineer,
Quote:On the other side, I don't remember my oldest doing that and he's tutoring pre-Calc on the side to make money this semester, so maybe all those drills were overkill.
Schools have to teach to all the children, and they have to cater to all the various talents of comprehension. Even now, more than fifty years after i learned them, i have to stop and think about the multiplication tables. The only "math" i ever did well with was geometry, and that was because i could draw it--i could see and hold it in my hand.
I have a first cousin who was a math whizz from the time he was a small boy. When he was six years old, he was setting an alarm clock at night, and getting up before his parents did, and then feeding his sister and brother their breakfast before school. In school, he found math boring, so they started to put him in higher classes for the math, to the point at which he was taking 8th grade math and algebra by the time he was in the fourth grade.
He now has a PhD in math. But, of course, most of his classmates from the 1960s didn't have that natural talent--so those drills were probably not overkill for them, but necessary repetition. I know they were for me.