K.2.D Recognize instantly the quantity of a small group of objects in organized and random arrangements

1.2.A Recognize instantly the quantity of structured arrangements

Subitizing allow students to move away from counting by ones to seeing numbers as chunks. For example, in the picture above, eight is seen as a chunk of five (the fingers on one hand) and three more. That’s much quicker than counting each finger. It also leads to a student understanding that 5 + 3 = 8.

So what are organized or structured arrangements? The pips on dice are a great example of an organized or structured arrangement. We instantly recognize the way the numbers look as represented by the pips on a die.

- I counted all the dots.
- I said 5…6, 7, 8
- I know that 5 and 3 is 8
- If all the spaces were full it would be 10, but 2 are empty so it’s 8

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Kory says

I am attempting to write a grant in my district for math manipulative that would be beneficial for students in developing their number sense. I am looking for manipulative ideas for that would be appropriate for 3-5 students that have gaps within their number sense and in turn struggle with the higher level concepts of the grade level.

Any suggestions for manipulatives would be greatly appreciated!!!! Thank you!

Donna Boucher says

Here is a great blog post from Blair Turner on essential manipulatives. It’s a good read!

Jeanne Davis says

I am looking for the link from the SDE conference in Las Vegas in July. I am getting ready to revamp my guided math centers and would like to use the information that you provided during this conference. Thanks

Donna Boucher says

Jeanne, I just emailed you.