The comparison of numeracy to literacy is curious.
Learning math is the opposite of learning to read. When you read, usually simultaneous to learning a language, you sound out words and then put meaning to them. When you learn to count and do math, you know the meaning inherently and then put a language to it.
At some point we learn to recognize words without sounding them out. And at some point we learn to recognize quantities without counting them out. This is called subitizing.
The Your Baby Can Read program uses the concept of subitizing to teach reading – you show your baby the word alongside the object. So the shape of the word car is as recognizable as a car itself.
The children using Your Baby Can Read don’t learn to sound out words. They don’t understand the concept of letters any more than babies not using the program. But they instantly recognize the shapes of the words – giving them an (assumed) advantage.
Aside: We didn’t use the “Your Baby Can Read” program, not because it was gimmicky (I love anything that looks gimmicky), but because there is a huge DVD element to it. We decided not to put Daughter in front of the TV for her first 2 years. A decision we stuck with, but sometimes was a struggle!
This article contains a “your baby can count” type program. (And it’s a free download!)
How did we learn subitizing?
I don’t recall having been taught it directly. Although I could be wrong. The research on it has been happening since the early 1900s, so it might have been taught without being labeled “subitzing.”
In a previous article about why learning to subitize is important, Christine Guest commented that she learned it out of frustration for counting with chanting.
I wonder how many of us do that. Are grownups so adept at subitizing that they forget that’s how we assess quantity? Maybe we’re taught to chant-count because that’s the way we think counting is.
But it isn’t!
How do you teach subitizing?
Images are accompanied by the written numeral as well as the number spoken aloud. The images would be printed on cards, done via video or “live” with 3D objects.
I’m still working on the numbers 5-10 and up, but for the numbers 1-4, the following 8 styles of image sets would be done twice. Once using the same objects for each image set, and once using different objects for each image set.
- Organized in a row vertically.
- Organized in a row horizontally.
- Organized in a row diagonally.
- Organized in a row other way diagonally.
- Organized in a regular shape (triangle, square).
- Organized in a differently oriented regular shape.
- Organized in an irregular shape.
- Organized in a different irregular shape. (There will be more of these for 4 than 3, etc.)
The objects could be blocks, cars, little dolls, just about anything. I created the set below from blocks I found left in Daughter’s block set.
Each zip file contains a few .jpg files with 4″ x 6″ pictures. You can print them at home or ship them to Walmart, Target, CVS, etc. for printing. I left off the MathFour.com logo so the kiddos wouldn’t get distracted. Please share them along with links back here.
What do you think? Can you use these? Did you?
This article is also linked in the Preschool Corner on Homeschool Creations.
Related articles
- What is Subitizing?
- Can You Teach All K-12 Math in 8 Weeks?
- Toddlers Begin Counting at 2
- Why Learning to Subitize Is Important
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Hi Bon,
I got into a discussion at school yesterday about subitizing and remembered reading about it on your blog. I searched and read all of the posts and just printed/laminated your cards. Thanks!
Thanks Sue!
Also, the Numbers 0-25 Flash Cards from School Zone are nice for this too. They don’t have the number next to the images, but for $3, they are easier than mine. 😉
http://www.schoolzone.com/flash-cards/numbers-0-25-flash-cards
I have a daughter who cannot subitize. She is dyscalculic. She has no basic number sense. She cannot memorize any basic math fact. Related to this, she has no sense of the passage of time and no sense of past and future and no real sense of money, even though she can add money together using her fingers or paper and pencil. The total she added means nothing to her.
In doing extensive research in this area, I have read many research papers on dyscalculia and subitizing. The scientific community, based on extensive brain scans and other studies, seems to feel now that subitizing is something most human beings (and many animal species) do automatically, probably from birth, and that this skill develops further over time. Research is showing that explicit teaching of subitizing can help anyone and quite a bit, but most already have this ability at a basic level and tend to advance in this skill without explicit instruction.
There is a small percentage of the population that does not have the ability to subitize. These children end up struggling tremendously in school and frequently as adults because this basic function is what allows us to do simple arithmetic without counting on our fingers, “memorize” times tables, process elapsed time, understand calendars and the passage of time, handle finances etc. There is a book called My Thirteenth Winter, written by a girl who has dyscalculia. She cannot subitize. If you have a student or a child who, no matter how hard they try, cannot memorize addition, multiplication or subtraction facts, or seems to struggle with time, or the concept of money, read this book to understand how debilitating this issue really can be.
We are just starting to do systematic subitizing exercises with my 7th grade daughter, after years of tears and frustration because of an inability to function in simple math efficiently, yet the cognitive ability to understand many more advanced math concepts (that function using a different part of the brain than the area that subitizes).
Your info here is also helpful. Thank you.
Wish us luck!
Wow, JC! Thanks for the info. What power you, and she, now have knowing what’s going on.
Please keep us informed – and indeed, GOOD LUCK!