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Living and Loving Numbers
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Subject Topic: teaching place value Post ReplyPost New Topic
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gracie4309
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Posted: May 06 2007 at 10:03pm | IP Logged Quote gracie4309

Sorry if this was already asked about and discussed, but I'm getting ready to
teach my 8yr old ds place value and need some ideas. So far, he has been using Modern Curriculum Press, book A, but I don't have a teacher's manual. It's been straightforward counting, adding and subtracting so far. I'm a little worried about teaching place value this way, though, because I didn't get it when I was in school. I foresee him struggling with the concept. Thanks in advance for any insights.

Grace

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Denise in IL
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Posted: May 07 2007 at 2:21pm | IP Logged Quote Denise in IL
The key idea with place value is putting together tens and taking them back apart. No matter where you are in your number---no matter what column, whether in the tens/hundreds/thousands or millions/billions/trillions or little tiny decimal fractions way past the decimal point---the principle is always the same. One in this column is worth 10 of the column to its right and worth 1/10 of the column to its left. Always.

That means that as soon as your son can handle ones and tens (or maybe ones/tens/hundreds), he should be able to handle any number. The principle is always the same.

It's as if each column is a bigger box that holds ten of the next size smaller box. Think of the way a cookie factory might package their product:

loose cookies
box = 10 cookies
carton = 10 boxes = 100 cookies
case = 10 cartons = 1000 cookies
pallet = 10 cases = 10,000 cookies
truckload = 10 pallets = 100,000 cookies

I assume that you think your son will have trouble with adding and subtracting big numbers. Help him see how the rules for adding and subtracting are common sense---like putting cartons together to make a case (for adding) or taking a truckload apart into individual pallets (for subtracting).

The advantage of our place value number system and the rules for adding and subtracting is that it doesn't matter how big or small the number is. You always treat it the same way. A great, big, huge number is just a whole bunch of one-column calculations, one at a time. You don't have to look at the whole thing and feel overwhelmed. Just focus on one column, figure it out, and then go to the next one.

Does that help any?

Denise
http://letsplaymath.wordpress.com/
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Denise in IL
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Posted: May 07 2007 at 2:46pm | IP Logged Quote Denise in IL
Here are some online manipulatives that you might find helpful. (If your son likes manipulatives, you can make a lot of them on the cheap with popsicle/craft sticks and rubber bands---band together 10 sticks, then band 10 sets to make 100, etc.)

http://nlvm.usu.edu/en/nav/category_g_1_t_1.html

Try these two games, near the top of the page:

Base Blocks Addition – Use base ten blocks to model grouping in addition.

Base Blocks Subtraction – Use base ten blocks to model separation of groups in subtraction.
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Meredith
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Posted: May 07 2007 at 7:20pm | IP Logged Quote Meredith
Excellent online math site Denise, thanks for sharing it!! I love your blog by the way, you've got SO many great ideas! Blessings!

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gracie4309
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Posted: May 08 2007 at 8:48pm | IP Logged Quote gracie4309

Thanks from me too, Denise, for the link. I think my son and my daughter will be helped by using it.

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