By Jove I think he's got it
For example...to figure out 14-8 he subtracts 8-4 to get 4 and then subtracts 10-4 to get 6. I will have to ask him for more examples, because I can't really remember how he does half of it. LOL! But what counts is he knows! Basically he breaks the equation down into smaller equations that he can do easier. And he is completely able to follow it. There have been a time or two when I really could not follow what exactly he was doing (he still talks out loud as he figures it) but I kept quiet and he came up with the right answer.
I found previously that a similar approach worked when it came to adding double and triple digit numbers. Breaking things down into 10s and 1s really helped. For example, to add 34+55, he breaks it down into 30+50 and 4+5 to get 89. And we actually realized that he understands negative numbers because he would solve a problem like 54-26 as 50-20 and 4-6 to get 30-2 or 28.
The neat thing is that I can see that the light is back on...he sees that he can do this stuff now. He sees it more as a puzzle then this mysterious thing where he was just supposed to know/remember the answer. I can see him manipulating the numbers in his head and he is getting getting faster at it each day.
I have to say...I am not big on formal "curriculum" but Singapore Math has really been a wonderful resource for us. It is really great for explaining concepts to him in a way that he understands. One of the reasons that it works for Jason is that it is very visual...it starts with the "real life" concept...pictures of objects and talks in English about combining them (they call them number stories). It shows several different ways of figuring out an answer and then gradually introduces the symbolic notation. It also seems to be able to explain things in a way that makes sense to him much better then I can! I swear, when it comes to math, we speak two totally different languages and Singapore seems to be able to bridge the gap. I know that I learned this stuff by rote memorization (which luckily I am good at, but even now I still count on my fingers periodically to double check myself). I am so glad to learn that there is a way besides flash cards to figure this stuff out.
And actually I have been starting to use some of these "tricks" myself lately instead of using my fingers....

1 Comments:
Very interesting. I keep wondering about math and its good to hear your comments about Singapore. I've been collecting all kinds of math books -- some are texts, but others are help books for adults about doing math in your head quickly and its got some of the tricks that Jason does -- it blows my mind, I'm very sequential, I would never have thought of those shortcuts!
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Marjorie, at 4:57 PM
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