math vocabulary – Early Math Counts https://earlymathcounts.org Laying the foundation for a lifetime of achievement Tue, 28 May 2024 14:03:22 +0000 en-US hourly 1 183791774 Mapping Fun for Young STEM Learners https://earlymathcounts.org/mapping-fun-for-young-stem-learners/ https://earlymathcounts.org/mapping-fun-for-young-stem-learners/#comments Sat, 01 Jun 2024 12:00:10 +0000 https://earlymathcounts.org/?p=156129   Five-year-old Amelia—our budding cartographer—has captured the attention of every child in the room as she shares her latest map drawing: “You walk out of my front door and turn right. Then you go this way and you are at my swings and slide. If you walk out of my front door, turn left and […]]]>

 

Five-year-old Amelia—our budding cartographer—has captured the attention of every child in the room as she shares her latest map drawing: “You walk out of my front door and turn right. Then you go this way and you are at my swings and slide. If you walk out of my front door, turn left and walk past my wagon, you will be at my gardens, the fire pit and the wood pile!”

We have been reading some really great books about maps recently, which have inspired a lot of creative thinking and map drawings.

When children create and play with maps, they’re learning math without even realizing it. Using maps helps children learn about distance and concepts like near, far and next to. Children begin to figure out how objects relate to other objects, such as where they are in space and how far apart they are. Later, the children will use numbers to measure distances and angles. But, for now, they’re just starting to understand these concepts.

Preschool children, in particular, are very curious about how things are positioned and where they are in relation to each other. Whether they’re building with blocks, modeling with clay, or setting the table in the play kitchen, they are exploring space.

The more often early learners play with maps, the better they’ll understand space when it’s time to learn about geometry. Reading physical maps may be a lost art, but it’s a fun and important skill to tackle nonetheless.

Our brains can reason, create, analyze, and process information all day long. They also enable us to move around in our environment with an innate sense of direction. This skill is called spatial orientation, and it’s like having an internal GPS system in our brains.

Spatial orientation helps us understand our relationship to the world we live in as it helps us navigate through space.

Children are natural explorers. They come into the world ready to experiment, investigate, and learn through play. As they engage in this process of exploration and discovery, they not only change the structure of their brains but strengthen the skills they need to be engaged, flexible learners throughout their lives.

“I made the path that Sam follows,” shares three-year-old Michaela. “Remember how Sam does all those curves?”

Sam is a cat in Joyce Hesselberth’s delightful book Mapping Sam, which follows the path of a cat as he travels through his neighborhood. There’s a lot going on in Michaela’s map, but it all makes perfect sense when she explains it to her friends. Michaela’s drawing skills are still developing, but her spatial reasoning as she shows us the path is remarkable. 

Some of our favorite mapping books are also wordless. Museum Trip by Barbara Lehman is a wonderful picture book about maps and mazes. I love books without words because they slow us all down to concentrate on the pictures rather than language—and we all see things a bit differently. It is interesting to see how books without words seem to level the playing field. Regardless of our age or reading ability, we are all equal.

Try introducing young children to simple maps of familiar places such as their classroom or playground. Talk about where objects are located on the map and how they’re connected. This will help the children understand the concepts of distance and direction.

As the children become more proficient at mapping, you can make your map activities more challenging. For example, you might create treasure maps together and hide a toy somewhere in the classroom or outdoor playground. The children can use their emerging navigational skills to follow the map and find the treasure!

Research shows that children who have a deep understanding of spatial relationships are more likely to succeed in STEM fields. So keep encouraging them to explore and play with spatial concepts—it’s helping them build important math skills!

For more real-life applications, whenever you are traveling along a familiar route, narrate the directions out loud. For example, in the car, you can say: “At this corner with the fire hydrant, we turn right! At the next stop sign, we turn left and we will see the grocery store.”

I often narrate directions when the children in our program walk to the local park (see photo above): “Climb the stairs and then turn right and follow the sidewalk past the mailbox to the park.”

Wishing you many happy early “map” adventures!

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Shine a Light https://earlymathcounts.org/shine-a-light/ https://earlymathcounts.org/shine-a-light/#comments Fri, 01 Dec 2023 13:00:00 +0000 https://earlymathcounts.org/?p=155681   “Saaliha, come with me to the light table,” Evelyn whispers. “I have to show you something!” Hand in hand, the two preschoolers quietly make their way over to our light table. This darkened corner of our classroom never fails to mesmerize the children with its soft glow and luminous colors. As the days grow […]]]>

 

“Saaliha, come with me to the light table,” Evelyn whispers. “I have to show you something!”

Hand in hand, the two preschoolers quietly make their way over to our light table. This darkened corner of our classroom never fails to mesmerize the children with its soft glow and luminous colors.

As the days grow shorter and darker—and the hectic holiday season approaches—it’s the perfect time to engage children in calming investigative play with light and color.

Before we gather around the light table, I dim the lights in the classroom and put on some soft music to create a soothing and tranquil setting for the children, who are often overscheduled, tired and anxious during these busy December days.

“Look!” says Evelyn. “I took a play silk from our dress-up bin and put it on the light table!”

Evelyn moves over to make room for Saaliha at the light table and the two friends immerse themselves in STEAM collaboration, problem-solving and investigation. The girls are completely absorbed in their play—and the learning is enhanced by the presence of a friend and collaborator.

“That’s cool!” says Saaliha. “It makes everything look a little different, but you can still see all of the different colors!”  

The light table allows for open-ended play, where children can experiment and create without strict guidelines. This type of play fosters the development of creativity and problem-solving skills as the children follow their curiosity, devise their own experiments and draw their own conclusions. This child-led play also fosters an investigative mindset, which can lead to hours of exploration and discovery.

“Try this!” Evelyn suggests as she shows Saaliha how to duck under the silk to compare the views. 

The girls experiment with different color combinations and share their theories and discoveries. The light table always seems to spark curiosity and encourages children to ask questions and seek answers.

As more children join the investigative play, they expand their knowledge base by collecting data and adding probability to their investigative skills.

This is a shared space that encourages collaborative investigations. Collaboration fosters communication skills, teamwork and the ability to share ideas with peers.

Children work together to create patterns, build structures and explore different materials—a process that helps foster the development verbal and social skills.

The hands-on nature of these activities promotes a deeper understanding of mathematical principles through play.

Children can investigate fundamental mathematical concepts such as counting, sorting, patterns and shapes on the light table. 

These long play periods extend the learning as the group explores spatial relationships, patterns and sequencing, laying a foundation for more advanced mathematical thinking.

Play at the light table is naturally enjoyable for young children. The combination of vibrant colors, interactive materials and the freedom to explore creates a positive and joyful learning experience that can contribute to a lifelong love of learning. 

Light tables allow children to learn at their own pace, which makes the play developmentally appropriate for every early learner. The children build on their own knowledge and share their observations with others.

When children are making observations and discoveries, they are forming and testing hypotheses. These self-directed learning experiences empower them to continue to explore and investigate beyond the classroom.

So turn on that light table and watch the magic of play and discovery brighten the day! 

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STEM Soup! https://earlymathcounts.org/acorn-soup-for-lunch/ https://earlymathcounts.org/acorn-soup-for-lunch/#comments Sun, 01 May 2022 13:00:02 +0000 http://earlymathcounts.org/?p=154378  

“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!

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Spring Dandelion Day STEM Adventures https://earlymathcounts.org/dandelion-days-of-stem-learning/ https://earlymathcounts.org/dandelion-days-of-stem-learning/#comments Fri, 01 Apr 2022 13:00:06 +0000 http://earlymathcounts.org/?p=153436

Each spring, we eagerly anticipate the arrival of the growing season—from the greening carpet of grass to the buds bursting into blossom on the trees. We especially delight in the dandelions that can turn any grassy area into a STEM wonderland!

Dandelions introduce so many math adventures into our early childhood program. The neighborhood park is our favorite destination for a day of dandelion STEM adventures.

Our spring dandelion days create hours and hours of exploration, investigation, observation and just plain fun!  Mother Nature is serving up math opportunities everywhere we turn!

When we find ourselves in these nature-based outdoor classrooms, the learning is always developmentally appropriate and child-centered.

On the day that this photo (above) was taken, the flowers were too tall to spend much time on patterns or subitizing or blowing seed heads in the wind. We kept finding longer and longer stems, some with flowers and some with wispy white seed heads.

The giggles were contagious as the children continued to find taller and taller dandelions. It was a day that was unplanned, so the measuring tapes were back at school, but it didn’t matter!  This was a great moment for estimating, predicting and comparing attributes side by side.

“My grammy says the tallest dandelion you can find equals how many inches you will grow before your birthday!” said one STEM explorer.

Oh boy… GAME ON!  Giggles and screams of discovery floated down the hillside as our dandelion math morning took on a life of its own.

“If you grow that much, you will be a GIANT!” predicted one preschooler as Violet studied a dandelion stem that must have been at least two feet long.

“Violet! You keep finding longer and longer stems!” exclaimed another. “Wow, look at the one behind you!  Add that to your collection! Are the tallest ones up there?”

When you are yards away from your friends AND on a hill, it’s hard to determine who has found the tallest dandelion until you walk over to compare sizes and see which dandelion has the longest stem.

Measurement is one of the earliest mathematical concepts that children learn.

Comparing the sizes of objects, determining which stem is the longest, comparing which child is the tallest and identifying that a friend is high up on the hill are all examples of the ways that young learners begin to understand the concept of measurement.

By building on this rudimentary understanding, we can help lay the foundation of logic, reasoning, comprehension and critical-thinking skills that will lead to later math success.

“Did they all grow from the same seed family?” mused one dandelion hunter.

“Maybe we blew on a tall dandelion the last time we were here and the seeds got planted in the ground and grew this tall,” postulated another.

Whoa, now those are some interesting ideas! But, before we could discuss their theories, the children had moved on to yet another area of investigation.

“Hey guys! You need to pick the flower at the very, very bottom of the stem to keep your stem super long,” instructed one of the older children.

This concept was way beyond the comprehension of some of our younger friends, despite the efforts of the other children to teach them.

Ah, the beauty of multi-age groups. The beauty of allowing learning to take place as the brain and physical development allows. The beauty of friendships and childhood on a sunny spring day, when all of the stars (or, in this case, dandelions!) align and the learning comes so naturally.

I knew that we were using our math vocabulary when I heard the words, “height, tall, taller, tallest, short, shorter, shortest, long, longer, longest, more and less.”  These simple but important words proved that the children were reaping the benefits of this springtime STEM lesson without the support of lesson plans or a word wall.

Exposure to experiences such as our Spring Dandelion Day STEM Adventure enables early learners to begin to interpret the mathematical qualities in real-world settings.

By observing, measuring, comparing and analyzing objects in their environment, they are also learning more about the world that they live in.

Our springtime “field study offered an invaluable opportunity for young learners to practice early math skills while guiding their own mastery of important math concepts.

The experience was an empowering one for every one of our STEM explorers, inspiring the children to build on their nascent knowledge by seeking out new ideas and experiences.

 

Carve out time and opportunities for your early learners to acquire, practice, rehearse and build upon the skills that will carry them through their academic life. Your math curriculum and early learning standards are outside—just waiting for you!

Click here for a lesson plan on Flower Fun and measurement for your class!

 

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Baby, It’s Cold Outside https://earlymathcounts.org/baby-its-cold-outside/ https://earlymathcounts.org/baby-its-cold-outside/#comments Wed, 15 Dec 2021 12:15:14 +0000 http://earlymathcounts.org/?p=153966

“LOOK! We have icicles!”

“Can I have one?  I need one!”

On this brisk winter morning—much to the children’s delight—nature has given us the gift of icicles. The children’s fascination with these frozen treasures leads to an abundance of “teachable moments” as we engage in some STEM learning while getting some fresh air and exercise.

Soon we are counting, sorting and measuring the icicles. I can practically see those little brain synapses firing as the children use their senses to investigate the properties of the icicles and revel in the joy of being able to choose, hold and taste their STEM lesson for the day.

“My icicle is longer than yours!”

“I like the little icicles! They fit in my mouth better!”

“I like the thick ones, they last a long time! Look how fat mine is!” 

When I hear my students discussing size, comparing attributes and sharing their math vocabulary with their friends, my heart just soars. Mathematical language is one of the strongest predictors of children’s early mathematical success. Whenever children discuss relative concepts, they are doing math!

Aww! I dropped mine and now it is in little pieces!” Janelle wails, holding back tears.

“They still taste good!  Now you just have lots of icicles!” says the ever-optimistic Claire. “Before you had one, but now you have more! You have 1, 2, 3, 4, 5!  You have five icicles!”  

Claire touches each icicle as she counts. The ability to count in sequence and use one-to-one correspondence to determine the number in a set is known as rational counting.

Janelle has the ability to rote count, reciting the sequence in the correct order without an understanding of one-to-one correspondence or the concept of cardinality (the number of elements in a set). “I do have five!” she shouts.

“Look, I can drop mine and it doesn’t break!” yells Owen as he drops the thickest icicle to the sidewalk, only to have a few pieces chip away.

It is difficult to ask children to compare quantities if they don’t know what “more” or “less” means. If they can understand “before” and “after,” they are more likely to know, or be able to understand, what number comes after four. When children learn this language in a math context, they are ready to move on to more advanced mathematical concepts. We are building our math foundation!

“How did you make these icicles? We don’t have them at my house,” asks Rowan as she chomps on her icicle. 

“I know!” chirps Robyn.When the sun warms up the snow on the roof it melts and turns the snow into water and the water starts dripping and then it gets cold again and makes an icicle! “

We take a long look at the ice melting off of the neighborhood roofs and other inclines and see that the dripping has indeed created icicles. We discuss how warm temperatures melt the snow and that is why our clothes often get wet, even when the snow is frozen solid on the ground. Now we have science! I love it when our play leads us right down the path to new STEM experiences and investigations.

“Oh, when our hands are warm in our mittens, it melts the snow? I never knew that!” Logan has processed the information in a way that many of his younger friends don’t have the brain development to do. He seems quite astounded by this realization. Together, we hypothesize which icicles will melt faster or whose icicle will get eaten faster.

Then we swap out our wet mittens for dry ones and hunt for more ice to expand our STEM  vocabulary.

Discussions about the weather are often rote and meaningless in early childhood classrooms. Classroom activities that involve calendars and weather patterns can be boring for young children because they are removed from the actual seasons and weather events.

But bringing the children outside to experience the weather firsthand or bringing the snow inside to be investigated on a water table is interesting. Involving the children in hands-on investigations is a much better way to teach concepts such as “winter” or “cold” than directing a child to walk over to a window and report that “It is snowing outside.”

During this busy holiday season, give yourself and your students a chance to escape the heated classroom and venture into the great outdoors to breathe in some fresh air and find your curriculum in the natural world.

I promise you that this approach will lead to far more STEM learning than talking about the weather during circle time!

 

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Full STEAM Ahead with Geoboards! https://earlymathcounts.org/full-steam-ahead-playing-with-geoboards/ https://earlymathcounts.org/full-steam-ahead-playing-with-geoboards/#comments Fri, 01 Oct 2021 13:00:04 +0000 http://earlymathcounts.org/?p=153587 “Look what I made!” shouts Parker.

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.

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STEM Play with Dominoes https://earlymathcounts.org/domino-appropriate-play/ https://earlymathcounts.org/domino-appropriate-play/#comments Wed, 15 Sep 2021 14:47:25 +0000 http://earlymathcounts.org/?p=153558  

“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!

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Ramps, Inclines and STEM in the Great Outdoors https://earlymathcounts.org/ramps-inclines-and-stem-in-the-great-outdoors/ https://earlymathcounts.org/ramps-inclines-and-stem-in-the-great-outdoors/#comments Tue, 15 Jun 2021 09:51:24 +0000 http://earlymathcounts.org/?p=153198   “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 […]]]>

 

“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.

excited jame

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!

These learning experiences offer an abundance of opportunities for children to learn important math, science and engineering practices; ask questions; and arrive at conclusions. Through their observations, they may be able to identify the problem and carry out new investigations—collaborating and problem-solving with their friends as they construct a new understanding of the matter at hand. When we enable children to manipulate their surroundings, experiment and interact with materials, we create rich learning environments.

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!

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STEM + Beanbags = F U N! https://earlymathcounts.org/stem-beanbags-f-u-n/ https://earlymathcounts.org/stem-beanbags-f-u-n/#comments Tue, 01 Jun 2021 10:50:44 +0000 http://earlymathcounts.org/?p=153204   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 […]]]>

 

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!

 

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STEM in the Sandbox Moat https://earlymathcounts.org/stem-in-the-sandbox-moat/ https://earlymathcounts.org/stem-in-the-sandbox-moat/#comments Sat, 15 May 2021 11:07:45 +0000 http://earlymathcounts.org/?p=12409

“Will the children be kindergarten ready if they spend their days playing outside?”

As educators, we are often asked about kindergarten readiness by nervous parents who want to give their children the best possible start in life.

It’s important for parents—and educators—to understand that there are endless opportunities for deep learning when children are connected to nature. Young children learn primarily through their senses. The natural world—with its stimulating and constantly changing elements—provides the ultimate sensory learning environment.

When children explore the world through sensory play, they are actively building new neural pathways, which is crucial for brain development. When we slow down enough to observe this process, it’s easy to see the learning that takes place, and the social skills that are being developed, as the children collaborate on projects in the great outdoors.

On an unusually warm day in May, the boys in our program are busy building a large castle in the sandbox. This may look like nothing more than sandbox play, but there’s some deep learning going on here as our castle architects lay the foundation for future academic success.

“We should build a moat!” declares Joshua.

“Yeah, a moat!” agrees the gang. “We definitely need a moat!”

With these words, the digging begins. Before long, the castle builders decide that it’s time to add water to the moat. We have plenty of buckets at our center, but today most of the buckets are already in use.

Looking around for a way to transport the water from the pump to the sandbox, the boys settle on a nearby piece of fabric from one of their forts.

boys measuring

We’re all hot, tired and likely a little dehydrated at this point. A glance at the clock tells me that it’s almost closing time. But who am I to redirect the boys by pointing out the empty bucket next to the fence?

I watch as the boys carefully stretch the material out and center it beneath the pump spigot to catch as much water as they can. Asa begins pumping and, to my astonishment, the fabric holds the water without any leakage.

WHAT in the world?  I’m marveling at this unexpected development when it occurs to me that the cloth I’d purchased from the resale shop is actually a waterproof fabric used in hospital settings.

collecting water

When I ask the boys if they were aware that the fabric was waterproof when they grabbed it, they respond with a question of their own: “What does waterproof mean?”

I try to explain that waterproof means that the water will not flow through the fabric. But there are times for discussion and times for action—and the boys are already focused on the next step in their plan.

First, they gather the corners of the cloth, taking care to keep the water from gushing out the sides. Then they make their way gingerly across the yard to the sandbox and carefully place the fabric in the moat.

I realize at this point that the boys had deliberately ruled out the use of buckets because they needed a flexible, waterproof liner for their castle moat.

They had assumed that the fabric they chose would hold water and, at the same time, conform to the shape of the moat. Wow! They were way ahead of me!

The boys did eventually make multiple trips to the pump to fill some buckets and add more water to the moat. But they knew that the bucket wasn’t the best tool for the initial phase of moat construction. Silly me!

This is just another example of the importance of giving young children sufficient time to engage in deep play and problem-solving (without any interference from those of us who think we have all of the answers), as well as the importance of loose parts in creative play.

Look at the delight on their faces! Okay, so the castle architect on the far right in the photo below seems to be grimacing at the weight of the load, but the other two look pretty thrilled with the success of their mission!

boys with collected water

When we look at children playing in sand, what are WE missing? They are busy designing, creating, collaborating and communicating. They are adding and subtracting, working with shapes and molds and inclines and declines. They are adding water to change the nature of their building material. They are using spatial awareness and math and science vocabulary. They are theorizing, hypothesizing and collecting data. They are engineering and deepening their knowledge—all while playing in a box of sand!

muddy mess

This is the ultimate in STEM learning. Give them as much time as they need. Let them play. Add fabric to your play centers. You never know where their outdoor play will lead them—and what YOU may learn in the process!

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