So, our methods for addition are nearly the same. I like your seven. Eight is just add ten and subtract two, and nine is subtract one.
But the thing is, doing addition and subtraction should be as fluid as multiplication. Your dots and my points are slower than having the table memorized, where the answer just appears in your head instantly. And so I made an effort to learn the table later in life. But, my memory isn’t great for that stuff anymore, so it wasn’t easy.
The tricks don’t work very well when you are asked to count backwards from one hundred by sevens. (Which used to be on a standard cognitive test!)
I don’t think the system failed me - it was a good school - so, I think it was a joint effort. I didn’t learn the table properly for an unknown reason, and the school didn’t realize that, because my methods worked and were never tested in competition.
I don’t think the tricks are “wrong”, just suboptimal. That’s why I think Kahn should teach tables, and only fall back on other methods when necessary.
But the thing is, doing addition and subtraction should be as fluid as multiplication. Your dots and my points are slower than having the table memorized, where the answer just appears in your head instantly. And so I made an effort to learn the table later in life. But, my memory isn’t great for that stuff anymore, so it wasn’t easy.
The tricks don’t work very well when you are asked to count backwards from one hundred by sevens. (Which used to be on a standard cognitive test!)
I don’t think the system failed me - it was a good school - so, I think it was a joint effort. I didn’t learn the table properly for an unknown reason, and the school didn’t realize that, because my methods worked and were never tested in competition.
I don’t think the tricks are “wrong”, just suboptimal. That’s why I think Kahn should teach tables, and only fall back on other methods when necessary.