KTM User Pages
26 Oct 2005 - 19:27
this is beautiful!
In my next life, I want to come back as a graphic designer.
Borenson fellow with his hands-on algebra, I must say....)
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I don't have any great manipulative in mind myself, but I do have a suggestion for those working to construct them. The examples you've posted so far are rather arbitrary applications of the distributive property. I would like something that ties in specifically with the mental math use of the property. For example, the easiest way for me to simplify 21 * 8 in my head is to think of it as 20 * 8 + 1 * 8. Here, I've taken advantage of the distributive property to actually make the problem more manageable. An even harder thing to illustrate with a manipulative, I think, is a problem like 19 * 12. Here, I want to solve it as 20 * 12 - 1 * 12. A manipulative that supports that would be great. -- DanK - 26 Oct 2005
Yes! Singapore Math teaches this CONSTANTLY. That was the big breakthrough the other night, when Christopher told me to use the distributive property to do a mental multiplication. But it turns out he has fragmented knowledge; he only knows the distributive property in the context of mental multiplication! -- CatherineJohnson - 26 Oct 2005