A pair of four-year-olds in my classroom are happily playing “dice wars,” a simple but fast-paced game. To play, each child rolls a die and the player who rolls the highest number wins. No one is keeping score today—and nobody seems to care who wins each round. 

I watch as Juan shakes the die between his palms, rolls it, counts each pip (dot) on the side that’s facing up and announces, “1, 2, 3!” I rolled a three!”

“My turn!” exclaims Maria as she shakes the die between her hands and rolls it. “SIX! I win! Six is more than three!” Maria doesn’t need to count the pips. She recognizes the pattern immediately and her number sense tells her the value of the pips on the die.

Rolling a die is fun in its own right, but these friends are working on the math skill known as subitizing. When children begin to recognize the pattern on the die and associate it with the number of pips (dots) without counting each pip, that is subitizing!

Children develop subitizing skills in much the same way that they learn to read sight words.

In a previous Early Math Counts blog post, Jen Asimow, M.Ed, explained it this way: “Remember when you learned about ‘sight words’ and how children learn them? According to one school of thought, children memorize sight words by taking a mental snapshot of the entire word. By using context clues, they learn the word as a ‘whole’ rather than as a series of letters. Consider how children learn the words EXIT or STOP.  Both of these words appear in the same way—on signs above doors or on red octagonal street signs—and nearly always in the same colors and typefaces. All of these clues help children form a mental picture of these two words, and they often learn the pictures before they learn the individual letters that make up the words.”

Maria and Juan are playing with a die, so they are only working with numbers ranging from one to six. As they play successive rounds of the game, they are beginning to recognize the patterns on the die without counting the individual pips.

With every roll of the die, Juan’s pattern-recognition skills are growing stronger. Before long, he can recognize the total number of pips on each throw without counting.

According to child development experts, the ability to subitize quantities up to and including four by the age of five represents a significant developmental milestone. 

Subitizing is a fundamental math skill, and dice games are a good way to help foster the development of this skill.

“Hey! Do you want to play that block-building dice game?” asks Pierre as he grabs a die from the jar and joins the group. 

Roll and Build is another dice game that we’ve played in our classroom for years. One child rolls a die and the other children add that number of blocks to their towers. Children learn to recognize four dots on a die, which helps them understand the cardinal value (how many four represents), which they can then link to the symbol (4) and the word (four).

Games like this provide repeated opportunities to interpret the dot images. As children figure out how many pieces to collect or add or how many spaces to move on a game board, they develop their number sense and other early math skills such as counting, number identification, the correlation between numbers and the items being counted and concepts such as greater than or less than.

Keep a jar full of dice within easy reach to give the children plenty of opportunities to practice and make up their own games.

Begin by subitizing quantities of 1, 2 and 3. In a math workshop that I attended, the trainer had blacked out the pips representing 4, 5 and 6 for the younger children.

If a child is having difficulty subitizing, reduce the quantity of dots. 

Dice games help young children develop math and social-emotional skills in a fun and engaging way.  So grab some dice and introduce your gang to subitizing fun! 

Check out our Early Math Counts lessons page for dice game ideas. Be sure to click on the Connect With Families button in the left-hand column of each lesson to download a Parent Letter that you can customize to share the day’s learning activity with parents and other family members.

“Hey, Evelyn!  Go get your cell phone and meet me at the stumps!” calls Noa.

My head whirls around as I check the classroom to see if a cell phone has actually made its way into school today. Then I see Evelyn running to the basket of dominoes to get her “cell phone.”

Whew! Instant relief and a touch of humor added to my day.

Dominoes have been around for centuries. They’ve been used for all sorts of games around the globe. We have baskets of dominoes scattered around the classroom. We use them for everything from building and matching to chain reactions. I’m fairly sure that we’ve never played an actual game of dominoes with these versatile learning tools!

I love these little blocks. Whatever the game, dominoes are always a Developmentally Appropriate Play (DAP) item, regardless of the ages of the children playing with them.

This morning’s “cell phone” incident got me thinking about Developmentally Appropriate Practice.

We need to trust that the teachers who work with young children on a daily basis know what’s appropriate for these children and understand how they use their materials.

Dominoes may not be designed for toddlers and preschoolers—and may even be considered to be Developmentally Inappropriate if used as intended.

Yet, by adding dominoes to our play areas and using them as manipulatives and loose parts, we can expose our early learners to a wealth of STEM learning opportunities such as building, counting, matching and even dramatic play.

Whether we’re building with our dominoes or standing each domino on end to create a chain reaction, we are laying the foundation for strong math and science skills.

This is when parents and administrators may misconstrue active learning for mere play.

When this happens, it’s our responsibility to help parents and administrators “see” the learning that is taking place. Show them how their children are developing spatial skills and an understanding of concepts such as “location” and “ordinal position.”

“Wow, Michela, your tower is getting really big!” Jameson stops to watch as Michela carefully adds another block to her structure.

Jameson has been struggling to build a tower that rivals Michela’s in height. “My tower is too wobbly,” he moans. “It keeps falling down. It’s impossible!” He stomps his foot in frustration and crosses his arms over his chest.

“You need to go very slow, like this,” responds Michela without taking her eyes off of her tower.

Michela is demonstrating the practice of science and engineering. We have geometry unfolding before our eyes as Michela uses symmetry, visualization, spatial reasoning and geometric modeling to solve problems such as balance and continuity.

By observing and asking questions, sharing ideas and solving problems, the children are working as a team to build a greater understanding of what works and what doesn’t.

This is a form of early data collection. If you are studying force and motion, a domino chain reaction is a great activity to demonstrate potential and kinetic energy.

I watch as four-year-old Thompson counts the pips (dots) on his dominoes and begins exploring concepts such as quantities and attributes.

Across the table, two-year-old Joseph is learning rote counting skills and gaining a rudimentary sense of one-to-one correspondence. By playing with the dominoes, he is also seeing the grouped pips (dots) in number formations that he will continue to see throughout his life.

I watch as an older friend mentors Joseph. In no time, Joseph is matching attributes—sometimes by pattern and sometimes by color. This is math!

We are exploring concepts such as “matching,” “same and different” and “up and down.” We are counting and beginning to understand numbers and number names. We are comparing quantities, subitizing and measuring objects and quantities. We are identifying common attributes, patterns and object relationships.

We are engaged in deep, hands-on, child-led play—without worksheets, themes or circle times. This is developmentally appropriate learning!

By providing more opportunities for children to explore, discover and investigate through active play, we are meeting one of the most important goals of early childhood education.

Invest in a variety of materials to meet the needs of children with different learning styles. It’s worth the cost. Think of it as an investment that will pay off in the future success of your early learners.

So grab those dominoes off of the shelf, place them in a basket and let the STEM learning begin!

Enjoy!

“I found an empty nest! Can we keep it?” Owen’s joyful discovery captures everyone’s attention.

Three-year-old Avery comes running. “Are there eggs?” she asks her older and wiser five-year-old friend. “Can I see?” she begs. “Please let me see?”

“There are no eggs, just an old nest. Can we please keep it?” pleads Owen.

After a quick glance to confirm that the nest cradled in Owen’s hands is not harboring a feathered inhabitant, I grant my permission.

Owen handles the nest gingerly before realizing that it is sturdier than it looks. After a few tugs and a few moments of studying the nest, he very gently hands it over to the others.

We have a collection of nests. We love to study the materials used to build each nest, as well as the nest construction methods used by different local bird species.

We also try to guess the type of bird that built each nest and how many eggs might have been laid in these cozy homes crafted from sticks, grass, leaves, string, mud and other found objects.

I watch Ave silently investigating and collecting data as she turns the nest in one direction and then another. You can almost see the wheels turning.

“I think the bird used some litter [drinking straws, food wrappers and other debris] to build this nest.” Ave giggles. “And there are like a million sticks in here!”

“A million?” I echo.

“Maybe more!” Ave theorizes.

This moment gives me a valuable insight into Ave’s nascent number sense. Connecting numbers to quantities is a skill that will continue to emerge and evolve with age and brain development.

“The bird added string—and look at this piece of wire she wove in!” shares Maya. “It’s lightweight but very strong. How long does it take her to make this nest? I think this nest is smaller than the others we have.”

This is how we set our curriculum for the day—by following the interests of the children. When we return to our indoor classroom, we will dig out our books to learn more about the various engineering practices that local birds use to build their homes and compare this newest nest to the others in our collection.

Living along the Mississippi River as we do, we are blessed with the return of our beloved bald eagles each winter and spring. From December to March, these magnificent birds migrate south from Canada and often make our area their winter home. Some even like it so much that they make it their permanent home.

In the fall and winter, the eagles rebuild their nests to prepare for the hatching of the eaglets. Eagles nesting in our area typically lay their eggs in mid-to-late February, and the eggs hatch by mid-to-late March.

Once the eggs have hatched, the female stays with the eaglets while the male leaves to find food for the female and her hatchlings.

The eaglets grow quickly and are ready to fly—or “fledge”—by late May or early June. A number of webcams have been set up by organizations in the area so that we can watch the life cycle of the eagles playing out before our eyes.

This is where I struggle. We are a screen-free environment. I know that we can link to so much learning with technology. I know that I need to stop being so stubborn. I am that old-school playground leader who hasn’t embraced the many educational benefits of 21st-century technologies.

We weren’t always screen-free—and I have fond memories of the year when we observed a wee bit of eagle life via webcam.

I hated the screen, but I loved learning about our local eagles. When an eagle brought a large fish to the nest, we were spellbound. But the fact that we’d been sucked into spending time staring at a screen contradicted everything that I believed in regarding early education—and I was overcome with guilt.

So when the first warm day of spring arrived, we created our own eagle’s nest in the center’s outdoor play area.

“Declan, how big is an eagle’s nest?” I asked, measuring tape in hand.

“Seven feet wide,” he responded. “What are you doing?”

I quickly measured out seven feet and put a heavy rock from the rain garden on the spot. The children began adding rocks until we had a circle that was seven feet in diameter.

For a few minutes, the children pretended to be eagles living in a happy little rock nest—until one perspicacious preschooler called me out.

“Wait! This isn’t a nest!” Asa declared. “We need to add sticks and leaves and yarn. We need more!”

“We do need branches and sticks!” agreed four-year-old Joshua.

“Over here!” directed two-year-old Gabe.

Game on! Now we were learning, creating and analyzing. We’d taken what we’d learned during our screen time and translated it into real-life, hands-on learning that met so many of the math and science standards that they would struggled to achieve on a worksheet!

This was when we grabbed our books and discovered that an eagle has a wingspan of 6-8 feet. We also learned that a mature eagle has 7,000 feathers, weighs 8-11 pounds and has vision so keen that it can see the print on a newspaper at a distance equal to the length of a football field. These are the details that young children are likely to absorb.

Because bald eagles are most active from sunrise to 11 a.m. as they feed along the open water of our locks and dams, this coincides quite well with our outdoor times. Lucky for us, they return to their roosting areas in the afternoon hours.

After lunch, some time spent browsing through eagle books and a nap, the boys made their way back out to their new eagle’s nest. If they build it, they will play in it. They had been playing there for a good long time when, sure enough, up in the sky, an eagle appeared!

Yes, a  real live eagle! Would she think this was HER nest? Could she see the boys in HER nest?

As the boys contemplated the possibility of the eagle swooping down and landing amongst them, they scrambled out of their nest in pure terror.

The eagle did not land in our nest. But, sadly, our frightened little learners never returned. I left the nest in place for over a week, and some of the younger children played in it, but the boys who built it kept their distance!

I often find that most of the fun is in the building phase of the project. The collaborating, creating, adding, subtracting, analyzing and evaluating with friends is actually the play for building kids. This is the good stuff that happens with play; enough time to engage in deep, investigative learning; and, sometimes, just the right amount of technology.

Take time to follow the lead of your students and see where their interests and curiosity take you. Then match their learning up with your early learning standards.

This link will take you to the Arconic Eagle Cam.

Full disclosure: The male eagle will bring food back to the nest. This could be a raccoon, a fish or a mouse. It is nature. It is graphic. It can be addicting or terribly uneventful at any given moment!

When we build nests of our own, we often use this Scientific American site as a reference. But if you’ve lingered too long on the Arconic Eagle Cam link provided above and feel guilty about overdoing the screen time, you can just WING it—pun intended!

Ha! Let’s get outside and play.

“I see the daddy cardinal, do you know where the mama bird is?” Four-year-old Noah, binoculars in hand, is busy counting birds in our outdoor classroom.

Are you aware that the annual Great Backyard Bird Count is coming up later this week? This is a great opportunity to create a bird-watching station and knock out some STEM and early learning standards while encouraging family involvement.

Mark your calendars for Feb 12-15 and join us for this fun and educational week!

February and March are good months for bird watching and bird counting in our program. This is a great way to accelerate STEM learning on days when below-zero wind chills make outdoor play impossible.

We have bird feeders set up right outside of our windows so that we can set up indoor bird-watching stations to give the children close-up views of their feathered friends.

We provide clipboards, books, binoculars and our abacus to help with the bird count. We also use this opportunity to teach our students how to tally on a tally chart. We reference the eBird website, which shares local sightings of different bird species.

I take the top ten birds sighted in our area on the eBird website and add pictures of those birds to our abacus. To do the same thing, just add your location to the eBird website and you’ll see which birds are sighted most often in your area. It’s quite fabulous!

We also like The Cornell Lab and the Audubon Society. I have the Cornell Lab Merlin Bird ID app on my phone to help us identify birds by their songs.

Your local U.S. Fish and Wildlife Service may also be able to provide free materials for bird identification. There is a big difference between bird identification books for children and those that were written for mature bird watchers. I would check some out at your local library or bookstore before purchasing.

This is a great opportunity to practice not only counting, but grouping by attributes or close observation of the differences between a downy woodpecker and a red-bellied woodpecker.

We try to keep a ruler nearby for our older children to use to determine whether they have spotted a six-inch downy woodpecker or a nine-inch hairy woodpecker. This offers the children an opportunity to use estimation and practice using real tools for observation.

This is also a great time to introduce Venn diagrams for clarification and documentation.

By creating a comfortable and inviting place for the children to birdwatch—complete with pillows, chairs and tables with baskets of binoculars—you can encourage them to slow down and observe more often.

By planting native plants in your outdoor classroom, you will also attract more birds to your bird-watching stations.

We remind our kids that outdoor birds are hard to spot but easy to hear. We ask them to close their eyes and point to where the song is coming from. I like to teach common mnemonics like the American Robin’s cheery up, cheerio, which can be picked up on almost any bird walk in the United States. Learn some mnemonics for common birdsongs here.

We have tried the inexpensive plastic binoculars from school-supply stores and toy aisles. They really didn’t work well and broke the same day that we brought them out. Smaller, child-sized binoculars are much easier for little hands to manage. Children enjoy using “real” tools and will treat them with much more respect than a pair of cheap plastic ones. I often teach them how to focus the binoculars to get a clear image. I place these binoculars in a basket, along with the identification books. We also stock our bookshelves with a wonderful collection of books about birds, nests and hatchlings.

We talk so much about STEM these days. This is one of the easiest and most magical ways to create a learning hub that can inspire young learners to engage in STEM exploration and discovery.

By participating in these learning adventures, you can learn right along with the children as you observe, ask questions, draw conclusions and discuss your findings with your early learners.

When we observe birds from our indoor birdwatching stations and then take those same observational skills outdoors, we have a deeper understanding of the birds we see and the birdsong we hear.

By adding the technology from the websites mentioned above and building bird feeders from oranges or peanut butter and seeds, we can include engineering in our learning adventures. We can include math as we count the number of birds arriving at the feeder and then subtract the birds that fly away. By grouping, measuring and comparing the birds, we can meet our early learning standards and benchmarks.

I hope you will join us in our Great Backyard Bird Count this year. Birds of a feather flock together. Come join the fun!

“Do our shadows look like the monsters in the book?” asks James.

I glance over and see James and Noa connecting their shadows by overlapping their arms. When we engage children in outdoor shadow play to support active exploration and discovery, their creativity is endless!

James and Noa are playing out their version of the book, The Dark, Dark Night by M. Christina Butler. This charming children’s tale follows a frog heading home to his pond after a long winter’s sleep. Along the way, he stops to frolic with his friends Badger, Hedgehog, Rabbit and Mouse. As darkness falls, Frog borrows a lantern from his friend, Mouse, to light the way home.

But, as Frog approaches the reeds at the edge of the pond, he finds himself face to face with a HUGE pond monster with enormous claws. Terrified, Frog hightails it back to his friends. Each friend returns to the pond with Frog—only to flee when the monster reappears. But the friends ultimately realize that the fearsome “pond monster” is not a monster at all—just some scary shadows created by light from the lantern.

Our four- and five-year-old students love this tale. But we had to read The Dark, Dark Night many times before the shadow storyline finally sank in for the younger children in the group. It also took a bit of time and investigation for these younger learners to observe that, when we move, our shadows move too!

When we’re outside, we often engage in body-shadow play with the sun as our light source. Exploring the ways that shadows change as we move our bodies is a great way to get kids engaged and excited about learning. Our road is often closed to traffic during the winter months, and we always take the opportunity to grab tape measures to see how long our shadows are.

I often challenge our friends to see if they can disconnect from their shadows. After a few minutes of contorting our bodies to see if we can separate from our shadows, we decide that we can’t, but that never stops the fun and silliness of trying!

We create math shadow games by calling out different shapes and encouraging the children to do their best to create shadows in these shapes. Movements like standing on one foot, reaching up high to touch the sky and walking on all fours all help children develop body awareness.

Here’s a great way to practice fine-motor skills during shadow play: Use the sun, a projector light or a flashlight to create shadows of tiny hands on a wall. The children can work on finger isolation (e.g. pointing with the index finger, counting out the fingers on their hands and wiggling all of the fingers individually); thumb opposition (e.g. touching the thumb to each finger); and other hand positions to create different types of shadows, an activity that helps build dexterity while laying the foundation for later STEM learning. We also play “Follow the Shadow Leader” and encourage the children to recreate the leader’s shadow by duplicating his or her movements.

Shadow play also helps children develop a rudimentary understanding of cause and effect as they observe what makes a shadow and where the light needs to be to cast a shadow. By moving their shadows around, they can investigate different shapes and sizes.

“Look how dark my shadow is today! Yesterday, we could not see it very well.” Owen is the first to recognize that sunnier days and brighter lights create darker shadows. Observations like Owen’s are often followed by other STEM activities such as creating hypotheses, developing theories and collecting data as the children continue their investigations and deepen their understanding of the nature of light and shadow.

Your students may also notice that their shadows are different sizes at different times of the day. Depending on the amount of sunlight that illuminates our play space, their shadows can be longer, shorter or nonexistent.

You can also show the children how to change the size of a shadow. Move an object closer to a light source and the shadow becomes bigger. Move it away from the light source and the shadow becomes smaller.

Light and shadow play is an amazing way for children to explore their world. If the sun is shining, why not meet your Illinois Early Learning Standards for math and science while playing with shadows. Have fun!

“Look, look! Come and see what is inside this flower!”  It’s a warm, late-spring day and our friends are scattered around the yard, discovering the new surprises that have popped up overnight. The flowers are finally showing their beautiful blooms!

“Is it a bumblebee?” I ask. They look at me—their eyes big with wonder. It’s been many months since we’ve had flowers, and their young brains may not have retained that bit of information. “Sometimes the bees go inside of the flowers to get nectar and pollen. Nectar is like a little energy drink for the bees.”

“Nooooo! It’s black!” says Jamison. His friends gather around to take a closer look at the flower. We have just formed our curriculum for the day—or at least for the moment. We have science as we explore and gain a better understanding of the world around us. We have math as we count and discuss attributes and take parts and join them into a whole. We have language as we learn new vocabulary words. We have art at our fingertips as we explore the beauty of this flower in all of its blossoming glory.

I tell the children that the black pieces are called anthers and the tall green piece at the center of the flower is the stigma. “This is where the pollen and nectar are kept,” I say, “and why the bees like to buzz around inside of our flowers.”

“Can we drink the energy juice?” asks Eve, much to the delight of her giggling friends. Eve smiles, but I know that her brain is really trying to work this out.

“I think we should leave it for the bees,” I suggest.

“The bees will make honey from the nectar,” four-year-old Noah explains. “We can eat the honey but we can’t eat the nectar!”

I see Noah’s friends nodding, as this makes complete sense to them.

“Let’s have honey with our snack this afternoon,” I suggest to the delight of our class.

“This flower has five petals!” I turn around to see our subitizing queen, Annika, at it again. Subitizing is the ability to “see” a small number of objects and know how many are there without counting. When we roll dice, we don’t need to count the pips, we know the number when we see it. Some children grasp this concept easily, while others need to work with it a bit more.

We continue to count the petals, find the stem and leaves and find the anthers again. Individual flower parts are not exciting on their own but, when these pieces are put together, they make something more complex and more beautiful. The learning flows from the lips of the young friends as they share insights and ideas and think out loud as they process all that they are absorbing.

We find the dandelions on the hill and we are again measuring, building our vocabularies and investigating with the field of gold. “Look at how long THIS stem is!” shouts Violet.

I look over to see Claire in a world of her own. Quietly splitting the stem into pieces. Ah, decomposing. Math. Deep exploration to develop an understanding that will make sense in a classroom years down the road.

This is the learning that makes me smile. This is what learning can look like if we give children time to explore and move and play and figure it out in nature. This is the good stuff that sticks in the brain, like nectar to a flower. The foundations of math, science, exploration and investigation. Give your children the gift of nature and let the learning flow on their terms. The math and science and language are all just outside of your door. Enjoy!

So far, we have introduced two games: dot bingo and the dot card matching game. Our final game for this month is called “Fill That Parking Lot.” This game enables our youngsters to think of numbers one through nine in terms of their relationship to the number ten and to build a strong foundation for addition and subtraction.

For this game you will need:

• The dot cards that you created for the dot card matching game (only use cards with the numbers one through three)
• Small toy cars or you can use the template for car counters
• A printer to download and print the Parking Game and Car Counter templates

Printable Parking Game and Counter Templates

• Once you have downloaded the template, print as many copies as you need, one for each player.

The object of the game is to fill your parking lot (hence the name)! Each player will take a turn flipping over a dot card, determine how many cars they need to park in their parking lot based on the number of dots on the card, and then use your counters or cars to fill the parking lot, whoever fills the parking lot first, wins! For example, if you have the number three, take three cars or counters and fill up there spots in the parking lot. Continue taking turns and filling up the parking lots until you have a winner!

It is important to have your children fill up the parking lot in a meaningful way for this activity to be effective. Have them fill up one row at a time or have them choose spots that are touching one another or next to one another. This will help your children see the relationships between numbers one through ten.

Some questions you can ask your child while playing are:

• How many more cars do you need to fill your parking lot?
• I have six cars in my parking lot, how many more cars do I need to get to 10?
• What is happening to our parking lots, do we have more cars or less cars?

I would love to hear your comments on these games! Looking forward to hearing from you.

Happy subtizing!

The first step should be focusing on the meanings of the numbers rather than the symbols. A great way to do this is dot cards.

For this activity you will need a set of plain index cards and dot stickers. I used traditional 3×5 blank index cards, but any size will work as long as they are consistent. For the dot stickers, “color coding labels” work great for this activity!

When first introducing this activity, I like to use small numbers, for example one through five. For the number one, you take one index card and one dot sticker. Place the dot sticker as close to the very center of the index card as possible.

For the number two, take two dot stickers and place them in the center right next to one another. The placement and arrangement of the dots on the card will make it easier for our children, especially when this activity is first introduced, to begin their number understanding. 

Continue this process until you get to the number five, following the visual aid as closely as possible. When I first introduce this game, I like to use the same color stickers throughout the first sets of cards. Once you have completed your first set of cards, make a second set following the same steps. It is important that these two sets of cards are as identical as possible.

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So, now that you’ve created your two sets of dot cards, what are you going to do with them? First, look at the cards with your child and see if they can identify what these dots represent. Go through each card one at a time and have a conversation about what they see. Some questions you can ask are:

• “Can you tell me what you see?”
• “I see one dot on this card, how many do you see on this one (show them a different card)?”
• “I see two dots on this card, can you show me the number two with your fingers?”

There are different ways to incorporate these cards into playtime with your children. Some of my favorites are:

• Dot Card War: For this game I like to add a blank index card in the pile to introduce children to the number zero. I then shuffle all of the cards from both sets (making sure each set has a blank card). Then deal a card to each player. The player with the bigger number (more dots) gets to keep all of the cards for that round. Keep repeating this process until you run out of cards.
• Dot Card Match: Shuffle the cards from both sets together, and lay them face down. Like in traditional matching games, each player gets a chance two pick two cards and turn them over. The goal to find the cards that has the same number of dots on them. Once the player, finds the matching cards, they get to keep them. Each player takes a turn until you run out of the cards. If you would like to make this game last longer, you can make additional sets of dot cards. If you would like to make it more challenging, you can change the dot arrangements in additional sets of dot cards.

Have fun subtizing!

How to Develop Subitizing

The ability to subitize can be developed by using pattern recognition skills. By working with a small set of numbers, children can start to develop an understanding of what numbers mean and what they represent. For example, five strawberries could be a set of two strawberries and a set of three strawberries, or a set of four strawberries and one strawberry. This means that a child looking at five strawberries doesn’t only see five strawberries, but also see two and three, or maybe one and four, and five and zero strawberries. Once children are familiar and comfortable with various representations of numbers 1 to 5, larger sets can be introduced (1 to 10).

How can we use subitizing to support our children’s developing understanding of numbers?

• Start with a small set of numbers.

• Subitizing relies on visual patterns. Not all arrangements of a number are equally easy to “see.”

Activities to Build Subitizing Skills

This month, we will open the doors to the world of subitizing by introducing simple and fun DIY games that you can play with your 3 to 5 year-olds.

Stay tuned!

Our spring dandelion days create hours and hours of exploration, inquisition and just plain observation!  There was plenty of math happening everywhere we turned.  One day we collected dandelions just to see how many we could collect.  The five year olds collected more than one hundred, while the two year olds were happy with six.  That is developmentally appropriate math right there!  When we find ourselves in these nature-based outdoor classrooms, the learning is always developmentally appropriate and always child centered.  It is the beauty of learning in a place that gives us everything we need. “When you look at a field of dandelions, you can either see a hundred weeds, or a hundred wishes.”
We had plenty of math vocabulary going as we searched for the longest and shortest dandelions.  We looked at the circumference of the flower, and made flower bracelets out of them.

We discussed the number of pedals.  We found the pattern of petals and I introduced them to the term “Fibonacci”, a number pattern that we often find in nature.  On this day, the flowers were too tall to spend much time on patterns.  We kept finding longer and longer stems, some with flowers, some with wispy white seed heads!  We discovered that we could divide the stems in half! Wait! We could even split them into four sections! Would it be possible to blow through a stem? Would it make a whistling sound? Would it taste bitter?  The investigation and process of discovery with dandelions was fast and furious, yet lasted for hours. This was math at their level, on their timetable.  Why would we rush this?I watched as some very young children could subitize better than their older friends.  Subitizing is the ability to “see” a small number of objects and know how many are there without counting.  When we roll a dice, we don’t need to count the pips, we know the number when we see it! Some children seem to grasp this concept with ease while others need to work with it a bit more.  We subitize a lot in our program, and being the math geek that I am, it just fascinates me to watch the difference in learning styles as this concept becomes effortless!

Giggles and screams of discovery were filling the hillside as our dandelion math morning took on a life of it’s own.  They began to classify, grouping according to length or size of the flower head.  I watched as a game developed of who could find the tallest one.  When you are yards away from your friend AND on a hill, it is hard to distinguish until you pick it and compare sizes! Then the realization comes that you need to pick at the very, very bottom of the stem!  This was a concept that was way beyond the comprehension of some of our younger friends, as hard as their peers tried to teach them.

Ah, the beauty of multi-age groups.  The beauty of allowing learning to enter as the brain and physical development allow.  The beauty of friendships and childhood on a sunny spring day, when all the stars align and the learning comes so naturally.