The Ultimate Guide to Teaching Number Sense in Preschool

The beginning of teaching number sense often begins with counting activities. This has been the core of math activities for preschoolers for decades. But beginning number sense skills aren’t just that simple.

Through engaging activities, thoughtful instruction, and a lot of knowledge in how to teach preschool math, educators can help preschoolers build foundational number sense skills. Get effective strategies and creative approaches for nurturing number sense in your preschool classroom.

Teaching number sense in preschool takes careful planning, and this is your ultimate guide to becoming a successful parent-teacher in teaching number sense to your preschooler.

This ultimate guide is designed to equip you with the tools and strategies needed to excel in this role, emphasizing that teaching number sense is far more comprehensive than simply naming numbers and counting.

This post will explore ways to enhance your child’s learning experience, ensuring they develop a robust mathematical foundation. Join us as we take a deep dive into the art and science of teaching number sense to preschoolers.

Read this: Counting 0-10 Lesson Plans for Preschoolers

What is Number Sense?

Number sense encompasses a broad understanding of the concept of numbers. It refers to a child’s fluidity in numbers, including:

• quantification (knowledge of specific quantities)
• number identification (naming numbers)
• number order and sequencing
• counting with one-to-one correspondence (each number corresponds to one specific quantity)
• cardinality of number (recognizing that the last number said when counting is the number of total objects)
• conservation of number (understanding that the number of objects is always the same even when rearranged)
• subitizing (automatic recognition of set quantities)
• composing numbers (addition)
• decomposing numbers (subtraction)
• understanding of mathematical symbols ( +, -, ÷, x, = )

Whew! That’s a lot!

While not all the above are developmentally appropriate for preschoolers, they are all interlinking under the mathematical discipline of number sense.

And since many researchers agree that a strong foundation in number sense directly relates to a child’s overall success in math, teaching number sense to preschoolers is a bigger task than some might initially think.

Check out the article: The Importance of Number Sense to Mathematics Achievement in First and Third Grades.

Number sense refers to the understanding of how numbers work, not just simple counting. It will take some time for children to master these important skills.

Why is Number Sense Important for Preschoolers?

Number sense is the key to successful math skills for children.

1. It’s a Strong Indicator of Mathematical Achievement.

Number sense skills in the early years is a strong indicator of overall mathematics achievement.

Early childhood educators have the important responsibility of constructing the foundational mathematical knowledge and skills that kids will need for future learning in math. And while this is true for all children,  it is especially true of children who come from low socioeconomic backgrounds. (Source: Teaching Mathematics in Early Childhood)

2. It Shows How Mathematics is Systematic and Consistent.

A strong foundation in number sense also teaches children to be flexible in their problem solving. In this, children learn that numbers are meaningful and despite manipulation, their outcomes are constant and sensible. (Source: Teaching Preschool and Kindergarten Math)

3. Math Simply Cannot Happen Without It.

Remember that number sense includes a gripping understanding of HOW numbers work. Not only does this ensure preschoolers will be able use addition and subtraction in years down the road, as well understanding how these operations are related with each other, but number sense plays a supporting role in all math disciplines. It all comes back to number sense.

Read this: The Ultimate Guide to Teaching 1:1 Correspondence

How to Teach Number Sense in Preschool

While developing number sense has a broad scope, there are many preschool math activities that teach a range of number sense skills. When taught deliberately and frequently, children coming from preschool programs who consistently teach these components are better prepared for learning more complex math.

So, let’s dive in to each skill set in number sense!

Number Sense Skill – Quantification

Quantification is the ability to recognize that all numbers are associated with an exact quantity, and the ability to recognize sets of objects, such as pips on a dice. This is sometimes referred to as subitizing.

Subitizing is the ability to automatically recognize quantities without counting. It’s like sight reading sets of objects. Here are some real-life examples:

• Shoes come in pairs
• Pips on a dice
• Cupcakes in a box or on a tray
• Recognizing tally points
• Wheels on a tricycle
• Animal feet on quadrapeds

These are all examples of how quantification, or subitizing, is used in real life. In a way, it is recognizing patterns in sets.

Students can use pattern recognition to discover essential properties of numbers, such as conservation and compensation. They can develop such capabilities as unitizing, counting on, and composing and decomposing numbers, as well as their understanding of arithmetic and place value—all valuable components of number sense.

Subitizing: What is it? Why Teach it? by Douglas H. Clements

Subtilizing Activities for Preschoolers

Educators, such as Fitzhugh, then realized that while some children could not count the specific units of a number, they could subitize the units making up small sets before them, thus supporting the notion that subitizing is a precursor to counting. 

The Ultimate gude to Teaching Subitizing in Preschool by Sarah Punkoney

• Apple Drop Counting
• Valentine’s Subitizing and Graphing Game
• This song from Harry Kindergarten teaches subitizing with a fun pirate theme!

Number Sense Skill – Rote Counting

Rote counting in the ability to count out loud in a sequential order. When children are first learning to rote count, they copy patterns they have heard — 1, 2, 3, 4, etc., but do not necessarily attach a value or quantity to the numbers.

Rote Counting Activities for Preschoolers

Rote counting is a cinch to practice because there are so many fun and engaging ways to practice, and they don’t take any prep at all!

• Practice rote counting in different voices and in different places.
  • Practice in the car in a silly voice, or on the potty in a grumpy voice, etc.
• Sing nursery rhymes that feature counting or find catchy songs on YourTube. Here is one of our favorites.

Number Sense Skill – Number Representation

Number representation is the ability to identify the number that corresponds with a quantity. This is also called number identification or number recognition. For example, it is the ability to identify that the symbol 6 refers to the spoken and written word “six” and the same quantity.

“At its most basic level, numeral identification is a form of shape recognition, which can result in a simple association of the word “two” with the symbol ‘2’ without a cardinal meaning”

Number Words and Number Concepts by Kelly S. Mix, et al.

This means number recognition can develop at a different time than number value.

Number Identification Activities for Preschoolers

Here are some easy counting activities for preschoolers.

• The BIG list of Preschool Counting Activities
• 39+ Hands-on Counting Activities
• Math Activities for Toddlers

Number Sense Skill – One to One Correspondence

Counting is the skill of matching set of objects with their corresponding number name. This is sometimes referred to as one-to-one correspondence, or 1:1 correspondence. It is that ability to count 1, 2, 3, while distinguishing that there are indeed three objects that were counted, no more and no less.

This is critical to building number sense and even mental math skills.

The one to one correspondence stage is the first step in teaching children about counting in reference to quantities. At this point, they start understanding that each number represents a specific quantity and recognizes numbers as symbols for showing how many objects there are present.

One to One Correspondence Activities for Preschoolers

There are so many great ways to teach preschoolers to master one to one correspondence in counting. Here are some simple ideas to get you started, and they don’t require any kind of prep, either!

• Count stairs as you walk them.
• Count snacks on your plate.
• Count things in the car, like stop signs or bus stops.
• Count toys as they are put away.

Additionally, you will enjoy these free counting printables for preschoolers. They feature working those 1:1 correspondence skills while counting to ten or counting to twenty, even.

One to One Correspondence Printable Activities

By matching objects one-to-one, children gain a concrete grasp of quantity, enhancing their ability to connect numbers with real-world items in an engaging, hands-on way. Try some of these printables.

• Butterfly Life Cycle Counting Printable
• Bumble Bee Playdough Counting Cards
• Emoji Counting Grid Games

Number Sense Skill – Cardinality

Cardinality is the ability to count each object individually and correctly declare how many items there are in a set. It’s recognizing that the last number said when counting is the number of total objects in the group.

And this is a big step in developing number sense skills in preschool.

During this stage, students may begin to recognize patterns such as the five-frame and know how many objects are in sight without having count them. Remember, this also falls under quantification skills, and is called subtilizing.

So, skill work in one to one correspondence also simultaneously develops subtilizing skills.

Read this: Adding Up the Fun: Teaching Your Preschooler Addition

Number Sense Skill – Conservation of Number

Conservation of number shows that the child is able to understand that a number of objects remains the same even when rearranged. Objects can be in a straight line, or scatter all about. The quantity remains the same on matter the arrangement.

Conservation of number also includes the understanding that the quantity remains the same when the same objects are swapped out. For example, five cars is the same as five crayons because the quantity of five remains the same. (This plays into one to one correspondence as well.)

Number Sense Skills – Composing and Decomposing Numbers

Decomposing and composing numbers, in short, is the ability to break apart a given number and put it back together again. Simply put, it’s basic subtraction and addition skills.

Composing numbers is taking two parts and adding them together to make a whole. Decomposing numbers is taking a whole part and breaking it into parts.

Addition and subtraction skills can easily be introduced in preschool with practice in composing and decomposing numbers. During preschool, little, if any, mathematical symbols are used.

Here are some practical learning activities and math games to practice addition and subtraction skills with your preschooler.

• Make number quantities on five and ten frames. Start with a smaller number, and fill in the five or ten frame to complete the number.
• Count snacks. Give your preschooler a few crackers, for example, and then tell them to take a few more until they reach a certain number.
• Do the above activity in reverse by asking your preschooler to split the total number of crackers between two children.
• Use music! This is one of our favorite YouTube videos about composing numbers.

Addition and Subtraction Activities for Preschoolers

Addition and subtraction activities for preschoolers help young learners understand the dynamics of increasing and decreasing quantities. Through playful scenarios and interactive games, these activities enhance problem-solving skills and critical thinking skills.

Try some of these preschool addition activities.

• Apple Seed Addition Activities
• Christmas Addition Mats Preschool
• Collecting Bugs Addition Game

How to Teach Number Sense

If you’ve read the last 1,700 words of this guide, you may have more questions. Remember, teaching number sense to preschoolers is an incremental process, so don’t feel overwhelmed.

It’s like weight lifting.

If you want to build muscle and strength, you need what is called “gradual progression of overload”. This simply means that over time, you gradually add more weight because your body has mastered lighter sets.

In a way, the same is true for teaching number sense. As preschoolers master different skills in number sense, we can add a little more difficulty, or add completely new skill that feeds off the old one.

Number Sense Lesson Plans for Preschoolers

If you’re teaching preschoolers to count, these lesson plans are a simple and fun way to do it. They include easy, hands-on activities to help kids learn numbers from 0 to 10 and even up to 20. Whether you’re just starting out or building on what they already know, these ideas make counting feel like play—not work.

• Counting 0-5 Lesson Plans for Preschoolers
• Counting 0-10 Lesson Plans for Preschoolers
• Counting to 20 Lesson Plans for Preschoolers
• Free Preschool Math Lesson Plans
• Purposeful Preschool Math Lesson Plans

Shop our Counting, Addition & Subtraction Preschool Math Lesson Plans

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Shop our Measurement, Graphing & Sorting Preschool Lesson Plans

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