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She just can't make sense of them.
"A half times a half is a quarter. So how, when you multiply things together, can you have LESS than you started out with!"
You explain that multiplication and division are two sides of
same thing, and you make it "real world" for her with a little analogy:
You get her to imagine a cake.
You remind her that "multiplying by half" is another way of saying divide by 2. So she pictures herself halving
cake, giving one piece half to her friend Jane, and keeping
other half.
You daughter now has half a cake.
She multiplies her piece by a half (i.e. "divides it into two again") and she's left with a quarter.
She goes off to bed happy, dreaming about birthday cake And you get to watch
ball game on TV.
Again, it's just a matter of simplifying.
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Real world math is not about mental agony, or learning mechanical formulas that you follow mindlessly like a robot.
It's about common sense, seeing how numbers really work, and breaking things down.
You just need a little imagination. After all, that's what genius really is.
------------------------------------------------------------ Murdo Macleod is a reformed calculator user and co-author of
'Fun With Figures' mental math course. Come and see what parents, students, home schoolers, business people, and math phobics around
world are raving about: http://FunWithFigures.com/ ------------------------------------------------------------

Murdo Macleod is a software developer and co-author of the 'Fun With Figures' mental math course, which shows anyone of any age or ability how to calculate quickly and easily.