I'm kinda in the middle. I don't believe in memorization of the basic facts for the memorization alone. I want my kids to understand the concept behind the addition and subtraction. I don't mind the finger adding, in the beginning. But the more frequently they do math problems, the more they see a pattern and begin to remember the basic math facts.

I do math drills with my son. I give him a sheet of addition or subtraction problems and he tries to beat the clock. He loves it when he can. And when he can't, he'll just try better next time. I don't make him simply recite math facts just so he can do it. There's no meaning behind it then.

I hope that makes sense!