Structures of Equality book coming summer 2026!

Join the interest list →

What is subitizing and why is it important?

March 27, 2024

Updated June 10, 2026

What is subitizing?

Have you ever noticed how quickly you can recognize the number of fingers someone is holding up? Or how many dots there are on a die? That’s subitizing (soo-bi-tiz-ing)! And it’s a critical foundational skill to build number sense. 

When students internalize that numbers are composed of other numbers, it helps with everything from place value to solving word problems.

This blog will cover what subitizing is, how to implement it in your classroom, and why it matters for word problem instruction.

What is subitizing? 

Subitizing is the ability to see a small collection of objects and instantly know how many there are without counting. It’s derived from a Latin word that means suddenly. There are two types: perceptual and conceptual.

Perceptual subitizing

Perceptual subitizing is knowing (or perceiving) how many objects are in a set of 5 or less. There are even some early studies that suggest infants and some animal species have the innate ability to ‘see’ small groups of objects without needing mathematical processes to figure out how many. It feels instinctual but it isn’t for everyone.

Conceptual subitizing

With small sets of 5 or above 5, it’s not possible for the brain to ‘see’ how many without using some type of mathematical process. This is where conceptual subitizing comes into play. 

As Valerie Faulkner and Jenny Ainslie explain in Subitising Through the Years, our brains decompose larger sets into more manageable groups and then compose them again to form the whole set. A group of 6 might be decomposed into a group of 4 and a group of 2. A group of 8 may be two groups of 4. It builds upon the ability to perceptually subitize.

Why is subitizing important? 

Here’s what it looks like when a student can’t subitize.

A second grader sees the problem 8 + 5. She counts out 8 on her fingers. Then she counts out 5 more. Then she counts all of them again from the beginning: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13. She gets the right answer, but it takes her a long time. And when the numbers get bigger, this strategy falls apart.

Now picture a student who can subitize. She sees 8 + 5. She knows 8 is composed of 5 and 3. She separates the 3 from the 8, combines it with the 5 to make 10, and adds the remaining 5: 10 + 3 = 13. She’s decomposing and recomposing, not counting. She’s using what she knows about how numbers are built.

That’s the difference subitizing makes. Students who can subitize have flexibility. They can visualize quantities, and break numbers apart and put them back together. And when they get to word problems, they can see the parts and the total without needing to count every single object.

Research backs this up. Subitizing is a “fundamental skill in the development of students’ understanding of number” (Baroody 1987, 115). If you want to go deeper, here are two resources I encourage you to check out:

📹 Christina Tondevold (7:18 ) explains a bit more about the above ideas. She shares practical tips for implementation and has a free resource you can download.

📹 Graham Fletcher (7:34) explains the progression of early number and counting and how subitizing fits in. 

How does subitizing help students with number stories?

When students work with word problems, they need to visualize the parts and the total. That’s exactly what subitizing trains them to do.

In the Structures of Equality framework, students use visual representations to understand what’s happening in a number story. A student who can subitize looks at a bar model and sees the parts without counting one by one. They can decompose the total to find a missing part. They can see how the quantities relate to each other.

.

This video of a 2nd grade classroom shows what that looks like in action: 

📹  Valerie Faulkner (7:28) shows how students can apply subitizing to solve for unknown values using a bar model. (Since the structures are based on work with bar models, you’ll see how easily it can be applied to SoE).

Conclusion

Subitizing isn’t just a kindergarten skill. It’s the foundation for place value, mental math strategies, and word problem solving. When students can see that numbers are composed of other numbers, everything else gets easier. 

Building subitizing in your classroom

So how do you help students develop this skill? Valerie and I co-authored The Fire and Wire Way, which includes 150 days of routines, many of which are subitizing. Here are two you can try tomorrow: 

Pdf of FW days 33 and 34 here

Subitizing won’t solve every number sense or word problem gap in your classroom, but it’s a strong start to build the foundational number sense skills your kids need to be proficient mathematicians.

“Exploring the Research on Subitizing.” Weebly. Retrieved March 2024, fromhttps://subitizing.weebly.com/exploring-the-research.html

Richardson, K. (2012). How Children Learn Number Concepts: A Guide to the Critical Learning Phases. Math Perspectives Teacher Development Center. 

If you want to see more of Valerie Faulkner’s work, check out her website.