In the old days, at school, we all used to learn our multiplication tables in assembly. Each morning the head would tell us which table she wanted us to recite. All the "older" pupils knew the tables by heart, but us youngsters, just starting, didn't, but we chanted along any way. So, by the time I was five or six, I knew all my tables up to 12X. However, I had no idea what all these numbers meant, only that 7 8's were 56 (for example). It was only when I started doing arithmatic that I put this knowledge into practise. And how useful it was. Today, children don't know their tables - they use calculators.
In the old days, when we had apprentiships, we didn't have ratshit (OOpps sorry - ratchet) micrometers. We had to learn to "feel" when it was right.
And so we are rapidly losing all the old skills, and we're becoming lazy and too reliant on "modern technology".
There are no appentiships now, and nobady learns their tables. Ask your son or daughter what 7 8's are!