Showing posts with label Subitizing. Show all posts
Showing posts with label Subitizing. Show all posts

Friday, November 20, 2015

How to Teach Subitizing for Numbers 1-4

How to Teach Subitizing: 1 – 4


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.
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.
  1. Organized in a row vertically.
  2. Organized in a row horizontally.
  3. Organized in a row diagonally.
  4. Organized in a row other way diagonally.
  5. Organized in a regular shape (triangle, square).
  6. Organized in a differently oriented regular shape.
  7. Organized in an irregular shape.
  8. 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.

Subitizing Digital Flash Cards



Click the image above to view the subitizing flash cards.  Use these with kindergarten and first grade students to help them with number sense.

Subitizing Plates

I know you may be thinking, "Well, duh, easy enough to make and no explanation needed." Well, that is true, BUT I made a little presentation on the plates that I hope you watch and enjoy! 


There you have it!! And this is not just a Kinder or 1st grade thing--it's never a bad thing to work on strengthening number sense! Go make some dot plates!! To help you out a little, I am including a page of suggested dot arrangements. Click the pic below to download your freebie!

 


Monday, October 5, 2015

Making Subitizing Cards and Double Flap Cards



Post Created and Written by The Math Maniac

Here is a peak inside one of my favorite boxes
It is simply a pencil box, blank index cards, dot stickers and binder rings. I use these to create subitizing cards and other projects with K-2 kids. Today I want to show you 2 of the things I have been working on with these materials with a group of first graders.

Subitizing Cards
Subitizing is the ability to recognize a quantity without counting.  It is further broken into perceptual subitizing and conceptual subitizing.  Need more information on these words?  Check this out!
I use the dot stickers and cards to work with students to create different arrangements and combinations of a given number.  You can see on this day we were working on combinations of 6.  See how the different arrangements and color patterns lead you to see 6 in different ways?  This is a great example of conceptual subitizing and is a great way to work on combinations of numbers.  The hole punch in the top lets me put these on a binder ring and then we use them in class and small groups.  We flash a card at a group of kids and they tell how many they saw and how they figured it out.

Double Flap Cards
I actually made these this week in first grade and with some intervention second graders.  These are a great way to work on combinations of numbers and fact families.  The particular kids I had that day were really needing more work on combinations of 10 so we made double flap cards for 10.  I used the same stickers and a few sheets of card stock.
This is what is written on the back of each double-flap card
                              
Here is the 3+7 card with both flaps open.  We can use this card to generate all the facts in the fact family for 3+7=10
I might open one flap and ask kids how many they see.  I then might ask them how many are under the other flap.  

I vary my language a bit and ask other questions such as, "how many do we need to add to 6 to get to 10?"  I also might open both flaps and ask what will be left if I cover up the 10 (or take the 6 away etc)