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Besides, what do mathfacts people do once they get past the ones they know? It's so much easier to break the problems down in your head and use patterns. Or, at least it's easier for me.

Stop trying to make her memorize it. Though her way of doing it is slightly slower, in the long run it will lead to a deeper understanding of mathmatics.
Memorization is a crutch A/S people use, why try to force a child who is capable of grasping number theory use a crutch. 
And as I've said, after figuring the same ones over a period of time, the higher frequency ones just stuck with him. 
Memorizing math facts is just a way of teaching to the test. 
When I tried to do mental multiplication, I would actually draw the numbers in my head and mentally move them, crossing certain numbers out, carrying, mentally writing stuff below the line, etc. 
I asked my DH about this and he said, "Well, doesn't everybody compute the answers?" He was baffled to realize that there are people out there who actually have this stuff memorized. He finds it absolutely amazing. And he's an electrical engineer who does advanced math in his free time as a hobby. He said, "That's pretty cool. But sort of useless, isn't it? You're limited to the things that you know." I'd never thought of it that way before.
Eepster: THANK YOU! : I couldn't stop thinking about what you just posted. OMG, you are so right! My whole life I've felt like an idiot because I can't memorize math facts. But, who cares? Who cares if I see 6+3 and know immediately that the answer is 9 or if I know that the answer is nine because I can count in 3s (3, 6, 9) and recognize the pattern. Either way, I immediately know the answer. Who cares if I see 8+9 and think 17 or if I know the answer because I know that 9 plus a number is always 10 plus one less than the number? Either way, I immediately know the answer. Who cares if I memorize 12x12 or if I know the answer is 144 because of the symmetry of the equation? Either way, I immediately know the answer. Besides, what do mathfacts people do once they get past the ones they know? It's so much easier to break the problems down in your head and use patterns. Or, at least it's easier for me. : I'm free! Schools have coached us to think that the math facts are correct math and that the patterns in math are just tricks we use to calculate the things we don't know. That's completely backwards. Number theory is not a crutch. On the other hand, once she's spent some more time working on math she'll probably have the simplest parts memorized. I don't have to compute 4+5 or 18/3, for example. It's just that if I can't remember it I can compute it rather quickly. And now I finally understand how I can not know my math facts but still be great at advanced math and statistics: I'm good at patternrecognition. 
I can also only agree with those who said they didn't learn basic addition or subtraction perfectly, but could do algebra, geometry, etc. 
Laura  Mom to ds (10) and dd (7) "Time stands still best in moments that look suspiciously like ordinary life." Brian Andreas.
I'm not sure that my daughter actually is VS or just visual, BUT she definitely is not auditorysequential.
Any sugestion on HOW to memorize math facts for a VS or visual student? Repetition doesn't work. The girl can figure out multiplication, but can't remember she just counted out 4+3 and will do it again if I give her the same problem. Tammy 
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As a VS learner myself, I found that generally, the best way to learn a lot of things was just to write them out clearly and neatly on a piece of paper, then look at the paper, then look away. Or to associate an image with the thing I was trying to remember.
But I never had anyone think of all the things the PP said, which all would have been good, too. 
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I was thinking the same thing and tend to agree. Isn't understanding always better than memorizing? However, I do the see a benefit in being able to do both in the sense that complex math problems could be computed more quickly. I wonder if the OP's dd is being subjected to those "timed tests" that I recall from grade school?

Laura  Mom to ds (10) and dd (7) "Time stands still best in moments that look suspiciously like ordinary life." Brian Andreas.
So, she counts everything on her fingers etc. And...um....I do the same 
Learning for a timed school test, in my opinion, is in the have to camp. 
I was thinking the same thing and tend to agree. Isn't understanding always better than memorizing? However, I do the see a benefit in being able to do both in the sense that complex math problems could be computed more quickly. I wonder if the OP's dd is being subjected to those "timed tests" that I recall from grade school? I also agree with what pp's said about "seeing" what the problem looks like and having this eventually become ingrained in one's memory. Flashcards and charts can be helpful for this. When I think of 9times 7 equalling 63, I still see "9 x 7 = 63."


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