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.

“I think that wolf should go in this row, with the pigs,” protests five-year-old Harper. 

“What? Why? He’s a wolf, not a pig!” insists Harrison.

“And he’s not pink!” chimes in three-year-old Evelyn. 

“The wolf will go with the pigs in this row for ‘Stories,'” explains Harper. “You know, like in that book, The Three Little Pigs!”

I wander over to see what this deep discussion is all about. Wow! The older preschoolers are lining up and labeling groups of animals from the basket. This is child-led learning at its finest!

“Oh yeah! That makes sense!” Miguel agrees.

But Evelyn seems puzzled by their reasoning. Math skills such as sorting and patterning are developed in a sequential order—and Evelyn’s early math skills are not as developed as those of her older friends.

At all ages, children classify objects intuitively to make sense of the world. Two-week-old infants can already distinguish objects that they suck on from other objects.

By the age of two, toddlers can form sets of similar objects. By preschool, children can sort and categorize objects according to a given attribute.

When children engage in classification, they are sorting objects according to some established criteria. For Harper, it makes sense to classify the wolf with the pigs. It also makes sense to Miguel when Harper explains his reasoning. 

I look at the list that Harper has created. I chuckle at his phonetic spelling as I read the three categories that he has printed across the top of a sheet of green paper: “Jungle, Farm and Stories.”

When learning how to classify objects, children first learn how to identify and name the attributes that the items in a group will have in common. Then they move on to identifying the attributes that will exclude items from a group.

See Harper’s list in the bottom right corner?  It reads, “Not in a group.”

Wow! This is math! This is early literacy! All while playing and having fun!

Remember back in first grade when we were learning about sets and we had to circle the apples, but not the oranges, on our math worksheets? Our morning of animal sorting is a similar exercise, but the children are establishing the rules.

Hands-on play will beat a worksheet any day of the week. What sticks to the hands, sticks to the brain. 

When children sort objects in their environment, they are using their analytical thinking skills, which are the lifeblood of mathematics. When children engage in organizing activities, it helps them make sense of their world.

Sorting allows children to determine where they think an object belongs and why they think it belongs there. Often, objects will be reclassified from one day to the next. The wolf may be classified as a “Story Animal” today and as a “Forest Animal” tomorrow!

A 2015 research study showed that young children were more creative, more interactive and more verbal when they were playing with sets of animal figures than with other toys (Trawick–Smith et al. 2015). These findings were consistent regardless of gender or background.

The takeaway? Every classroom needs a basket of animal figures!

What’s so great about a basket full of plastic animals? It doesn’t come with a rule book!

When children play with toys such as small animals, people or vehicles, they create elaborate make-believe scenarios and engage in rich discussions about those scenarios. Perhaps best of all, they learn to play cooperatively with their friends. 

As educators, we know that children love to play with baskets of plastic animals. Now we have research to prove what we’ve known all along: that open-ended, imaginative play will naturally lead to sorting and classifying—and you’ll be checking off those early math learning standards in no time!

Looking for an Early Math Counts lesson plan that involves sorting and classifying?  Check out Cereal Sorting!

Do you have collectors in your midst? Those young children who can turn a five-minute walk into a 15-minute treasure hunt? The children who fill their pockets with treasures and then load up your pockets with the overflow?  I love these kids. They can wreak havoc with our daily schedules, but they help us slow down, take a breath, smile and find beauty in unexpected places. They also make me smile when I remind myself that these impromptu, child-led collecting and sorting expeditions are worth their weight in gold as we work with young children to build a strong foundation for later math learning.

We collect lots of natural loose parts like acorns and buckeyes, feathers and rocks. But we also collect colored gems, bottle caps, keys and other odd items. This, my friends, is the rock-solid, hands-on play that lays the foundation for number sense.

At all ages, children classify intuitively to make sense of a world that seems largely out of their control. By the time infants are two weeks old, they can distinguish between objects that they suck on and those they do not. By the age of two, toddlers form sets of similar objects. In preschool, children begin to sort objects into categories according to a given attribute.

If it attracts their attention and they touch it, that’s the moment the child-led learning begins! So grab a bag, a basket or a bucket, take a walk and see what sparks the imagination of the children in your life. A good pocket comes in handy on these expeditions!

Along the way, observe the collecting habits of your budding mathematicians. What captures their attention? What treasures do they deem worthy of pocketing? Does one of the younger treasure hunters in your group need guidance or mentoring?

During your expeditions—and other daily outings—keep your eyes out for heart rocks. It’s a great opportunity to build some early math skills, whether you’re waiting for a table to open up at a restaurant or killing time before an appointment. Hidden in those landscape rocks, there is sure to be a heart rock!

Children will naturally begin to sort their collected treasures into piles or “sets.” Separating will come very naturally as children sort acorns into one pile and bottle caps into another. They may group by colors, shape, texture or weight. They may also organize their objects in a line by size or other attributes.

As they sort the objects that they collect, children are building their analytical thinking skills, which are the lifeblood of mathematics. This is a great opportunity to introduce vocabulary words such as more and less.  Young children have an inborn sense of more and less. They always know if someone has more than they do!  Children can learn number sense simply by playing with their collections!

If the grouping of sets leads to counting, this is another great opportunity for young children to build foundational math skills. Regardless of how high a preschooler can rote count, a child’s sense of what those numbers actually mean develops gradually. We call this “understanding number sense,” and it requires relating numbers to actual quantities.

There are three core counting principles:

Counting Sequence 
There is an ordered sequence of number names. Counting involves using the same sequence each time, starting with one. By using counting songs and moving each object as you give it a “name,” you can help children learn the counting sequence.

One-to-One Correspondence
One number from the counting sequence is assigned to each object in a collection. Instruct the children to put each object into a container or slide it across the table as it is counted.

Cardinality
The last number assigned to an object when counting a collection indicates the total quantity of objects in the collection. Ask: “How many?” If the children don’t know the answer to this question, count the objects together and note the last number that you counted as you push the objects all together into a group.

By turning counting into an enjoyable, hands-on activity, you are also introducing the children to mathematical concepts such as place value and addition.

Remember to take it slow and make it fun. Children develop at different rates and have different learning styles. They will master early math concepts in their own time and in their own way.

So let the children set the pace. Enjoy the cooler fall temperatures as you embark on your collecting expeditions—and see what collections land in your pockets!

Looking for some great activities to introduce sorting and counting to your early learners? Look no further than the Early Math Counts lessons page.

Here are a few of my favorites to help you get started:

• Cereal Sorting
• Laundry Sorting
• One Fish, Red Fish

“Can we play with those counting things today?”

Two bubbly three-year-olds are standing in front of me with expectant smiles on their faces. I have absolutely no idea what they talking about—or what’s going on in those busy little brains, which I can almost hear whirring with activity.

“What counting things are you looking for?” I ask.

“Those pieces of wood with the holes,” responds Hissham.  “But they aren’t holes, really. They’re like circles….”  He trails off, hoping that I’ll know what he means.

“And we want the buttons!” Mariana chimes in.

Ah, they want the mancala boards!

We are quite intentional about setting up math environments that don’t scream MATH CENTER.

We start with authentic materials like the mancala boards—materials that encourage sensory play and exploration. Then we sneak in other materials that lead the children into deeper math investigations.

We don’t focus much on rote counting and number recognition. Instead, we foster the development of the children’s number sense because we want the children to move on from rote number identification to a more holistic understanding of number quantity. 

Children learn math at their own pace by using many different skill sets that don’t always develop at the same pace or in the same order. So we give them lots of options to let them learn in their own unique ways. By keeping it playful and hands-on, we set them up for math success. 

The new math that is being taught in schools uses ten frames a lot. So what is a ten frame?

A ten frame is a rectangle with 10 equal spaces. It has five spaces on the top and five on the bottom. You can use counters or math manipulatives to represent numbers less than or equal to 10 on the frame. Ten frames are available to download and print from various websites—or you can use a ten frame like the one pictured above.

Ten frames help children “see” numbers by providing a visual representation of a number and its value. Ten frames also enable students to physically place items, each within a single “frame,” to create a visual representation of numbers from 0-10.

Ten frames help kids develop number sense. For our youngest learners, we often provide five frames, which are arranged in a 1-by-5 design. Research suggests that five frames are a good place to start for very young children. 

By working with numbers in ten frames, children can see the number of manipulatives that a number represents. Ten frames set the stage for work with larger numbers. I love ten frames because children can use them in ways that reflect their unique developmental level. Ten frames also enable children to play with patterns and group objects together. It may look like play, but ten frames help build a basic understanding of early math—and lay the foundation for later math learning.

I love wooden ten frames like the one in the photo above, but they are pricey. I have been searching for (and finding!) mancala boards at thrift shops and yard sales for years. We now have a collection of second-hand ten frames that we use for playful math. 

You can buy a ten frame or download ten-frame printables from various early childhood websites, but there are endless ways to create your own ten frames. We’ve used egg cartons, ice cube trays, tape on a table (above) and chalk on the sidewalk.

Recently, I had the grand idea of taping the ends of our mancala boards to create ten frames (see photo above). I was feeling quite giddy about my clever adaptation, but then I decided that the tape would be distracting. So I went one step further and cut my mancala boards into ten frames (see photo below).

Then I realized that five frames would be even better for the two-year-olds in my program. With a five frame, younger students can use smaller set sizes that are within their developmental counting range.

Young children are always collecting something. By incorporating a five frame into their collecting activities, we help them develop a rudimentary understanding of number sense.

Pete the Cat and his oh-so-groovy buttons have been at the top of our reading and music rotation list lately, so adding button manipulatives seemed like a logical next step.

But beware: Any small manipulative is a choking hazard, so please choose your manipulatives carefully!

By now, I was a bit “saw happy,” so I also created a three-frame to use with subitizing and a two-frame, as well as a one frame for one-to-one correlation. Remember, we want these activities to be developmentally appropriate for the youngest children in our programs.

Remember, our goal is not to work on counting, but to set the stage for later learning with these early math tools.

Older preschoolers can move up to the ten frames when they are ready. I generally suggest that they start in the top left corner and fill the entire top row before moving on to the second row (just like reading).

Of course, this is way beyond the developmental level of our youngest learners. All that we want to see with these children is the ability to place one button in one circle. As their brains continue to develop and their understanding of early math concepts grows, they can graduate to ten frames.

While the children are playing with their frames, you can help foster the development of counting skills by putting a counter in each square of the frame and saying: “One, Two, Three, Four, Five—you have five buttons.”

Then tell the children to count the buttons. After they have counted to five, ask: “How many buttons are there altogether?”

If they answer five without recounting, they may be exhibiting an understanding of cardinality (the knowledge that the last word in a counting sequence represents the total number of objects in a set).

Cardinality is a school standard for kindergartners, but your early learners will just think of it as a fun game to play with buttons! 

You can easily adapt these Early Math Counts lesson plans for use with ten frames in your classroom:

• Groovy Buttons
• Mouse Count
• What Comes in Twos, Threes and Fours?

Don’t forget to click on the CONNECT WITH FAMILIES button on the left side of each lesson page to download and customize a Family Letter to send home with your students after each lesson.

“Who wants soup? I am making soup for lunch today!” Eleanor shouts to anyone willing to join her as she “cooks up” her concoction.

Eleanor is our concoction wizard. She can often be found adding loose parts to a large pot of water, mixing away while she muses about the ingredients she needs to add to her “recipes” for soup, magic potions and smelly perfumes.

“Aw, I don’t want soggy flowers in my soup!” Jose protests as he peers into the pot. “I like it better when you sprinkle them on top. Can you make the flowers dry again?”

Eleanor is a master at transforming dry flower petals into wet soup ingredients. But she hasn’t yet mastered the art of drying the wet petals with a swish of her stick.

“I can’t make them ‘not soggy’ anymore,” she admits. “But I can add some dry ones on top for you, sir.”

Questions such as “can it be undone” or “can I manipulate this” are all part of the learning process as our students engage in play with loose parts to investigate the phenomenon of transformation.

“Okay, great!” agrees Jose. “Can I have lots and lots of the red flowers on top, please?”

James comes running over to join the play. “What smells so delicious?”

“Acorn soup!” the children shout in a chorus of excited voices.

Our sensory-play kitchen is alive and well!

Sensory play activates and engages the senses—including touch, smell, taste, sight and hearing—while promoting the development of fine-motor and gross-motor skills.

When children engage in sensory play, they build new neural connections. These connections lay the foundation for language and motor development, creativity and essential life skills such as problem-solving, decision-making and memorization.

Imagine all of this cognitive development arising from a pot of acorn soup!

Acorn soup—or any magical, mystical concoction—can help children develop an understanding of math concepts in myriad ways, but most obviously through the use of mathematical language.

Imagine children mixing materials and discussing whether or not they should add more flowers, herbs, sticks, stones, pine needles or bark.

Quantity is a central concept in mixing. So it makes sense to incorporate pots and pans of all sizes, as well as measuring cups, to stimulate inquiry-based learning about quantity and volume, as children ask questions such as “How much should we add?” or “Do we want it to be thick like stew or thinner like soup?” It’s all part of building a child’s math vocabulary.

I could line up six young chefs to cook up pots of acorn soup and no two “recipes” would be alike. Children love to direct their own learning as they observe the “cooking” process and evaluate the ingredients that will make the best pot of “soup.” This is critical thinking at its best!

Whether you are cooking for play or actual consumption, it’s important to give children their own pots, bowls, measuring cups and utensils. Watching a friend cook is just not the same as engaging in hands-on, inquiry-based learning.

Real pots, pans, spoons, measuring cups and utensils help to “keep it real.” I delight in finding miniatures of good-quality cooking utensils. I love to use small stainless steel bowls. They are just the right size and they are affordable and easy to find at thrift stores. The same applies to measuring cups and spoons. Go with the stainless steel versions whenever possible. They always present well and they are sturdy and stain-resistant.

Children who are constantly engaging in “science experiments” or cooking up concoctions such as acorn soup are often exploring the transformation schema.

A schema is a repetitive pattern of behavior as children explore the world around them. Children who engage in the transformation schema will be fascinated by objects and their potential for transformation.

Play in this schema can be as simple as the transformation from dry to wet, from empty to full or from solid to liquid. Encourage children to investigate questions like these:

“How does this object change when I add water?” 

“Does the color change?”

“Does the texture change?”

“Does it smell different?”

By identifying and supporting schema play, you can tap into children’s interests and instincts while deepening and intensifying play and learning experiences.  

This is what STEM looks like! These preschool play moments pave the way for later learning in science, technology, engineering and math.

Experiences like these are integral to our mission here at Early Math Counts. Math is everywhere—in everything that we do with children and in every classroom activity. But we need to make the most of these math learning opportunities.

“Eleanor, is the soup ready yet?” Tucker asks from the other side of the yard. “How long does it have to cook?”

Ah, the ever-important gift of time. These periods of uninterrupted play stimulate brain development in a big way while enhancing children’s understanding of how the world (and math!) works.

So get your soup on!

“Evie, come look! I’m a superhero! I have superpowers!” calls Jamie from the foyer.

Curiosity piqued, Evie leaves her blocks behind to see what her best friend is up to now.

“Rainbows!!!” Evie shrieks as she spies the colorful light pattern on Jamie’s wrist.

Everyone within earshot dashes over to see the rainbows. And, just like that, our morning activities morph into a joyous exploration of light and color.

Squeals are the soundtrack for this sudden spasm of joy as the children dance around the room “catching” rainbows.

The rainbows that have inspired this impromptu STEM investigation are coming from the leaded-glass windows on our old schoolhouse.

During the winter and early spring, the sun hits these windows at just the right angle and we find these refracted-light rainbows on our walls, the floor—and even on the faces of napping children.

“I know the colors of the rainbow!” Noah sings. “R is for Red, O is for Orange, Y is for Yellow…” 

A chorus of little voices joins in, along with requests for our favorite “ROY G. BIV” song from the children’s CD, Here Comes Science (see image below).

The song is used as a mnemonic aid to help children remember the colors of the visible light spectrum in order of increasing frequency: Red, Orange, Yellow, Green, Blue, Indigo and Violet.

Color recognition marks an important developmental milestone.

Color identification helps children strengthen the cognitive link between visual clues and words.

Noah is singing the ROY G. BIV song while pointing to each color. As I watch, I make a mental note to check off color recognition, vocabulary and sequential ordering on Noah’s upcoming learning assessment.

I attempt to explain that the rainbows in our classroom are created when the sunlight gets “split up” as it passes through a cut-glass window that bends the light.

“Red tends to bend the least, so it appears on the top of the rainbow, while violet bends the most and ends up on the bottom,” I state.

My jabbering is met with silence. The children are deep into their own investigations.

“The librarian told us that rainbows are actually circles, but they look like arches when we look at them from the ground,” says Owen.

Heads pop up. Owen’s comment is met with quizzical expressions as the children try to process this information.

“If we dig down into the ground would we see the rest of the rainbow?” Roberto asks. 

“I don’t know,” shrugs Owen, glancing around at the rainbows in the room.

“What’s an arch?” asks Thali.

“You know, that part of the circle that looks like this,” says Jamie as he creates a half-circle with his hands. “It’s like you cut a circle in half!”

Thali nods and the focus of the group returns to the rainbows in the room.

This interaction prompts us to bring out our prisms and inject a bit of STEM into our hands-on play. Throughout the day, we experiment with other materials and sources of light.

First, we add Magnatiles to the windows in our block area (above).

Then we grab our liquid tiles (below) and place them in the window frame. We love these tiles and play with them often, but this is the first time we’ve tried to place them in the window. The colorful liquid in the tile is reacting to the pressure of Sally’s fingers, stimulating her sensory, perceptual and spatial pathways.

I offer a large liquid floor tile to our younger learners. Some of the older children immediately join in the exploration, adding enough weight and pressure to move the liquid and stimulate the senses of our younger friends.

If you don’t have cut-glass windows, a simple window film can bring about the same results. We added this film to the window below, and we are greeted with rainbows whenever the sun shines!

When these spontaneous moments of learning land in our classroom, my goal is not for the children to completely comprehend or master a topic.

My goal is to learn with them, to pique their curiosity with investigative opportunities and to allow them to engage in scientific inquiry while playing with light.

The act of playing with light, reflection and color invariably evokes a sense of wonder.

So seize the moment for some impromptu STEM play when a rainbow spontaneously appears—and expand the options for color and light exploration with a few new prisms and props!

Our moment of silent concentration and focus is interrupted by Parker ecstatically showing off her geoboard.

“You made a house?” asks Linnea, looking a little wide-eyed and confused. “How did you do that?”

“I just added shapes and it worked!” Parker answers, equally amazed by her own creation.

“I want to try that!” shouts Rowen.

“Me too!” echoes a chorus of four-year-old voices. “Show us how you did that!”

Geometry has entered our world today—and what better way to learn about early math and science concepts than through play?

I have come to believe that geoboards are one of the ultimate learning tools for peer mentoring. I watch as the four-year-olds follow Parker’s example and create their own versions of her rubber-band house.

I am a huge fan of these little powerhouses known as geoboards. Hands-on activities with these simple learning tools get children’s brain synapses firing like crazy and stimulate the development of new neural connections.

The boards, with their colorful rubber bands and infinite possibilities, also make math and engineering fun!

Our geoboard play tends to occur in cycles. Today, the geoboards have resurfaced after long hiatus.

Because the children haven’t used the geoboards in a while, I notice how much their brains have developed since the last time the boards were in play. Seeing these leaps of brain development is one of the great joys of teaching.

Geoboards are always developmentally appropriate in the hands of the creator. Some children simply work on stretching the rubber bands onto the nails. My “artsy” early learners—who are happy designing anything and everything—can play with these boards for hours. And there’s a child in every class who insists on attaching every single rubber band in the bag to the geoboard, persisting long after the other children have moved on to new activities.

Geoboards enable even young children—and those who may have difficulty drawing shapes—to construct and investigate the properties of early geometry without a pencil in their hands.

I see geoboards as a chance to level the playing field for those who struggle with grasp, fine-motor or visual-motor skills.

Children begin to notice shapes before they have the language to name those shapes. Geoboard play acquaints children with simple shapes—as well as more advanced concepts such as symmetry, angles and fractions—as they engage in activities such as measuring, counting or investigating 2D shapes like Parker’s rubber-band house.

Look at those little fingers and hands going to work! With just one geoboard and a bagful of rubber bands, children can create and learn about shapes while developing their hand muscles, fine-motor skills, spatial skills and math skills. This is why geoboards have been a part of our classroom curriculum for more than 30 years.

Children can use their rubber bands to create squares, rectangles, triangles and other “sided” shapes. They can also explore number concepts as they try to stretch a single rubber band around a certain number of pegs. They may try to stretch it around three or four pegs—or maybe even all of the pegs. This early math exploration evolves quite naturally as the children engage in geoboard play with their friends. 

When I introduce geoboards to new students, I leave the lesson plans and benchmark checklists for later and let the children simply play with their boards. I want them to engage in geoboard play at their own level of development.

It’s important to give the children ample time to engage in this process. It can’t be rushed. For my young learners who love to make shapes, letters and designs, a longer play period gives them time to get their creative juices flowing. As their brain development continues, you will see their shapes and designs become more intentional.

Young children develop ideas and concepts about science, technology, engineering, art and mathematics (STEAM) naturally. They think about size, shape, quantity, order and speed throughout the day as they play and explore. As teachers of young children, we need to tap into their natural curiosity with intentional STEAM learning opportunities such as geoboard play.

Intentionality is acting with knowledge and purpose. It is the opposite of chance because it is planned and thoughtful. In order to become intentional about math teaching, we need to think about math the way we think about literacy.

By making shapes on their geoboards, the children are actually developing important pre-reading and pre-writing skills too.

Here’s how it works: When Linnea sees a shape on the geoboard and names it, she is preparing herself to identify letters and numbers and then naming and eventually writing them.

Simply by placing a basket full of geoboards near a table, we can encourage children to experiment with shapes, sizes and direction through hands-on play.

We can call this math, science, engineering, art or literacy because it’s laying the groundwork for the STEAM disciplines, as well as language development.

But in our hearts—as early childhood educators—we simply call it play.

“Hey, Hudson! How did you do that?”

Eleanor is amazed at Hudson’s success as he races a car down the ramp. This is the same car that she couldn’t get to stay on the ramp just minutes earlier.

I listen as Hudson turns the car over and explains, “See those wheels? The front ones were bent. I had to take my finger and straighten that part that connects them. That is why it was going crooked.”

Eleanor is completely engaged in the moment as Hudson instructs her on the physics of motion.

We have a group of kids at our center who have grown up together, developed great friendships and built a strong early math and science foundation. Science skills enrich children’s math skills and concepts through hands-on experiences. Math is used to construct and understand data that is collected through observation. You can do math without science, but you can’t do science without doing math.

In the past few weeks, I have been reminiscing about how this group’s understanding of concepts has grown right along with their physical development. We are currently ramp and incline crazy, an activity that has piqued the children’s interest in cycles over the past few years.

Recently, inclines have dominated our play once again, and we have been doing a lot of investigative activities with ramps of all types and sizes. Experiments with force, speed and motion foster the development of scientific-inquiry skills and offer endless math opportunities, as well as great fun!

When our young friends play with inclines, they often try out new ideas and techniques. I love to listen to their theories as they engage in this rudimentary scientific exploration while mentoring and encouraging one another. Their knowledge continues to grow as they experiment and observe the outcomes. This is data collection!

Once again, we are meeting those early learning standards through long periods of uninterrupted play. Not all of their ideas will work. When they don’t, this leads to deeper communication and collaboration as the children use what they’ve learned to modify their techniques.

I watch as they observe each other’s successes and failures and try to improve on their ideas and methods to achieve their goals.

Simply placing the basket of beanbags at the top of the slide is all that it takes to encourage collaboration, cooperation and a lot of giggles. Activities such as these prompt children to explore their environment and use what they learn to design new experiments and test out new ideas as they make sense of the world around them.

By offering opportunities such as these, we are laying the foundation for the mathematical concepts and skills that they will need to perform later scientific investigations.

Ramps and Inclines provide a treasure trove of opportunities to meet your math, geometry, measurement and number standards. I love to watch the children at my center as they make predictions and then test out their theories. Sometimes with success, sometimes not so much. By reflecting on their experiences, the children are constructing their own understanding and knowledge of how the world works. Counting, classifying, measuring and comparing are some of the processes that can take place when we allow long periods of uninterrupted time for exploration and discovery.

Our play experience with ramps and inclines is a perfect example of STEM learning. The physics involved in creating stable structures and moving objects in various ways will enable us to meet our science standards for the day. Engineering happens when the children design their structures or change the way they move their objects. When they draw conclusions about how objects move through space, make predictions and collect data, we have wrapped up our STEM lessons in one pretty little package of play!

Best of all, this activity is developmentally inclusive. All ages can engage in incline play. It took less than a day for our youngest learner to figure out that the object he drops from the top of the incline will slide to the bottom. This activity keeps his attention for long periods of time and his enjoyment never ceases as he conducts his incline experiments again and again.

The joy of watching young children join in the math and science play never gets old. So grab a ramp and a few young friends and start your own math and science club!

I recently grabbed our dusty box of beanbags off of the top shelf of the closet and took the beanbags outside. We rarely played with them indoors, so what was I saving them for?  If a beanbag gets lost or forgotten under the plants and soaked in the rain, who cares? At least it has been played with.

Now that the beanbags have been relocated to our outdoor play space, they have been used daily over the past few weeks. Recently we created a new beanbag game that laid the foundation for later STEM learning.

We currently have a full group of children who can pump on the swings, which is great—unless you have more children than swings, like we do. So I brought out the bucket of beanbags and placed it on the edge of the sidewalk. 

Then I picked up a beanbag and gently tossed it in the direction of my swinging friends. The kids loved the idea and it was GAME ON!

Now mind you, the swings were a good 12 feet away from that sidewalk—far enough to ensure that none of the children would be strong enough or accurate enough with their beanbag tosses to actually harm a friend.

“Hit me! Hit me!” hollered the members of the swinging gang.

“I want to play!” shouted the rest of the gang.  AYE YAE YAE!  What had I started?

What I had started was a new game that quickly became a favorite. No one has been injured, few have been hit and the cooperation and turn-taking is incredible!

Our rules were simple:

1. Throwers had to stay on the sidewalk.
2. No creeping up on the swingers.
3. Only throw one beanbag at a time.
4. When all beanbags have been thrown, yell, “SWITCH!” and the swingers must stop.

When the swingers stopped that first day, there was a mad rush by all to pick up the beanbags and put them back into the basket for the next round. WHAT in the world? I NEVER see this type of energy and enthusiasm during usual pickup times!

I encouraged the new group of throwers to take a water break to give the new swingers time to get up to speed before the throwers started aiming at their targets. And then we repeated the cycle for a good 20-30 minutes before the children exhausted themselves from all of their throwing and pumping.

We had overhand throwers and underhand throwers. I watched as they tried different techniques and shared theories with each other on the best time to throw the beanbag depending on where the swingers were in the air. This is physics! This is math and geometry and plain old fun!

Investigations into physical science and engineering through this type of play give young children a chance to explore and control physical phenomena and develop a practical understanding of the laws of physics— all while giggling with their moving-target friends.

This activity also teaches children about risk-taking and trust building. You trust that your friend won’t hurt you, but you definitely take the risk of possibly getting hit. Scary but fun!

As the game evolved, new ideas were added to the play. Sometimes children called out the number or  letter printed on the beanbag or grabbed specific colors. One three-year-old consistently looked only for beanbags labeled with letters that had meaning to him: the first letter of his name or the names of his two siblings. (I later found three beanbags labeled with those letters hidden in a secret corner of the yard. Ha!)

Physically, our beanbag throwers were building up the muscles of their dominant hands, which they will use in future academic settings. They were also working on STEM concepts such as distance, accuracy, speed and force. We throw these wonderful science words into their play to build up their STEM vocabulary and lay the foundation for a deeper understanding of scientific concepts. Meanwhile, our swingers were  focusing on the trajectories of the beanbags headed in their direction and making predictions about when and where they would hit, while strengthening their core muscles for future desk and circle time.

OH, you want learning standards? We’ve got those covered too. We count, subtilize and build our math vocabulary. We measure and estimate distance. We make predictions and modify those predictions based on experience. We use our science skills to explore the physical properties of objects and experiment with force and motion. The list goes on and on and there are so many ways to adapt this game. So grab your beanbags, head outdoors and let the playing and learning begin!

“AUGGGHHHH!” I hear screams, a crash and giggles galore.

The joy of Magna-Tiles® has returned to our ever-popular window-stacking play. When these colorful magnetic tile mosaics come crashing down from the window frame, the children respond with laughter and joy. By contrast, the collapse of three-dimensional block formations often elicits groans and tears.

Something about the suspense of the build (and the challenge of stacking the magnetic tiles higher and higher without triggering a collapse) keeps the children coming back to this activity time and time again.

For anyone unfamiliar with Magna-Tiles, they are magnetized tiles of different shapes that can be used to build the most amazing creations. We have purchased other magnetic block sets, but the children had difficulty figuring out the polarization or were frustrated by the lack of versatility. Ultimately, those more expensive sets were abandoned to collect dust in a corner while the children spent endless hours playing and learning with the Magna-Tiles.

Is there a more perfect block than a Magna-Tile? If I were stranded on an island with a group of preschoolers, this would be on my top-ten list of must-have learning tools. Heck, it would be on my top-three list. These are, without a doubt, the favorite block in our program. What’s not to love? Magna-Tiles build confidence and fuel hours of creative play. Our only problem with Magna-Tiles is that we never seem to have enough!

I read somewhere that you know you have enough blocks when there are still blocks on the shelves. I’m still not sure I have enough Magna-Tiles on any given day, and I always find myself purchasing more. (Full disclosure: I often purchase PicassoTiles, which are less expensive, equally rugged and nearly identical to my original Magna-Tile set. So, if your program is on a budget, don’t hesitate to buy this less expensive set.)

Magnetic tiles are a STEM classroom delight. We have math opportunities with shapes and colors, counting, blending colors, angles and geometry galore! We have science and engineering as we explore different designs and building techniques. The magnetic feature opens doors to design and construction options that regular wooden blocks cannot provide.

“What color is your tree?” Harrison asks his best friend, Jack, as they use their magnetic tiles to change the colors of the scene outside our window.

The collaboration continues as the two boys follow their creative impulses and develop their ideas.

Then Jack proposes a new challenge. “What if we try a triangle this time?”

The boys determine that the results will be the same regardless of the shape. I am convinced that the children’s understanding of different shapes has been greatly enhanced by the use of these magnetic tiles. Magnetic tiles are the perfect educational tool for teaching all things geometric!

I also love to observe the children as they engage in problem-solving when they are confronted with a shortage of large square magnetic tiles. They quickly determine that they can create the same shape with four smaller magnetic tile squares.

Magnetic tiles also lay the foundation for an understanding of sets and quantities, as well as concepts such as location and ordinal positioning as the children expand their STEM knowledge and vocabulary.

“Jack, do you think we can add this square and it won’t fall down?” asks Jack’s twin sister, Eve, who is working through her predictions and collecting data on what works and what doesn’t.

I watch as Eve gingerly pries the corner of the bottom tile away from the window and triggers a structural collapse that brings all of the magnetic tiles tumbling down.

This investigation of “What happens if…?” is met with delight and infectious laughter from Eve’s peers as the building collaboration starts all over again.

“If we add this triangle to the top, the trees will turn green and look different from the red trees down here.”

Jack and Eve continue to pursue different avenues of learning with the tiles. One minute they are investigating colors and the next they are observing patterns or determining which shape should be added to the mosaic.

I’ve noticed yet another benefit of our window-frame magnetic-tile mosaics: The activity often brings children together who don’t naturally play side-by-side.

In other words, this group endeavor builds community. I am not sure if it’s a team effort of US versus the WINDOW BLOCKS or if it’s simply the contagious joy of the activity that makes everyone want to join in the fun.

When the temperatures drop below zero for days on end, I know that I can count on our magnetic tiles to lighten the mood and enrich our learning through play.

One more note: I have been known to remove the magnetic tiles from our play on occasion.

Why? Because I believe that magnetic tiles are so easy to use that they create “lazy builders.” This is just a personal theory of mine, but I’ve seen it play out over and over again. Sometimes the children in my program need to be pushed out of their comfort zone.

I do this by pulling out my wooden unit blocks, which require the children to perfect the balance and symmetry skills needed to build a stable block tower.

When those wood towers fall, I remind my wee ones that they are great builders and then I help them start building again from the foundation up.

When I rotate the magnetic tiles back into our play after a period of going “back to basics” with the wooden blocks, I nearly always notice that the children’s building skills have improved.

Try it and let me know your results. Happy building!