Originally Posted by aniT
You don't need to memorize your times tables. You can figure it out.
The point is not that you can't figure it out
, the point is that math is about finding the most efficient solution to any problem
. Multiplication is a more efficient way of solving the problem. If we are to talk concepts vs. rote memory - well here is a concept, what is faster 9 x 7 or 9+9+9+9+9+9+9?
From mathematical point of view, no problem that involves multiplication of low numbers, should require a longer route of going back to addition.
The minute you reverse to addition, you are not doing what mathematics is all about - you are not looking for the best possible solution, and as a math teacher (that I am), I want my kids to always see their options, and be able to find that best solution
. Without math facts - you have only one way of solving the problem, why would you want to limit a kid
with only one solution vs. providing him/her with two?
Last time I took a math course was in high school (and last time I took a rigorous math course was when I was 16). I was able to pass teacher's licensure test in MA without taking one single math course through college, and breathed through it. I'm not sure why you are defending limiting American education to lower standards... They are low as it is...