What is Social Organization?

As humans, we develop as social beings in our communities, society, and culture. In fact, associating with others is a fundamental human tendency. Therefore, in Montessori education we prioritize social development, even (or especially) as children grow into adolescents.

At the adolescent level, young people are experiencing a bridge from childhood into adulthood. They no longer need and want to create little practice societies as they did in their elementary years. Instead, adolescents need and want to understand and experience adult-level roles and responsibilities. Adolescents therefore require new opportunities for independence and valorization, as well as opportunities to contribute in purposeful ways to their community. In Montessori, we call this social organization. 

In order to support this experience, Dr. Montessori envisioned an ideal setting where adolescents could live within as many aspects of society as possible. In her book, From Childhood to Adolescence, Dr. Montessori even outlines a road map for social organization at the adolescent level. In describing the practical aspects of social organization, Dr. Montessori suggests that adolescents live away from their families in a residential setting, preferably a farm that includes components such as a shop or store, a “museum of machinery," and a way to host others.

Residential Experience 

Developmentally, adolescents need to break away from their families. Having some sort of residential setting or away-from-home option allows adolescents to figure themselves out in new ways amongst different adults. In addition, a residential opportunity allows adolescents to live in a community and recognize the impact they have within and on their community. Even if a full residence isn’t possible, adolescents can prepare meals for each other, make sure the kitchen and tools are ready for the next meal, ensure the compost is taken out, clean the dining area, and so forth, all of which allow adolescents to experience how their work matters. 

This kind of experience is similar to how students in a Montessori primary or elementary environment become aware of how what they do in the classroom impacts others: if they run, are loud, or step onto someone’s work rug, that has an impact. Yet at the adolescent level, the experience of social organization needs to be in the context of real living. Adolescents need to step into adult-level roles. They need to coordinate lunch for their community or be the barn manager in charge of animal care. This also means they need to handle what happens if part of the work is left undone. 

Land-Based Opportunities

Another ideal aspect of adolescents’ social organization is being on a farm or working on the land, which offers adolescents the opportunity to experientially understand our agricultural roots as humans. To survive, humans have needed to grow, raise, and harvest our food. When working on the land, adolescents get the experience of what it means to care for other living things and how those living things provide human sustenance. There are big moral questions that come up in this process: what do to when an animal is sick, how to honor an animal that will be butchered for meat, or how to handle pests that are decimating crops. Farm life allows adolescents to grapple with challenging questions that are part of living in a society. 

Production & Exchange

Similarly, when operating a shop or store, adolescents get to experience the process of production and exchange as it works in society. They can labor to make sure a hive of bees is healthy and producing honey, and then determine how to package and market that honey to sell. Or they can create cutting boards in a wood shop and puzzle over how much to sell them for based on the cost of materials, the time for labor, and the value of their artistic work. They can harvest cucumbers and pickle them. They can create artwork for auction. They can harvest lettuce and wash it to prepare a salad for the community. Opportunities abound. 

This experience also offers adolescents the chance to understand interconnections and interdependencies. Many people have done a great deal of work so that we can enjoy each thing we eat, purchase, or enjoy! Through the process of production and exchange, adolescents can also begin to understand the role of monetary systems and how to budget, plan, save, invest, share, and be responsible with their earnings.

Hosting & Using Tools

Other ideal options for adolescents include a hostel or host experience and a “museum of machines.” In hosting, adolescents get to experience how to give back to others. For example, in making a meal for guests or providing a place for parents to stay for the night, adolescents must put others’ needs first, while also taking on new roles and responsibilities. 

Finally, Dr. Montessori’s “museum of machines” isn’t about having machines on display behind glass but rather means having many tools and machines available for adolescents to use, take apart, and repair. This collection of machines allows adolescents to learn and practice with tools that will help them on the land or farm, with their residential setting, in their shop, or with their hosting experience. Use of different tools of society helps adolescents learn skills and abilities that will serve them as capable adults.

Preparation for Adult Life

Preparation for adult life is a significant part of the adolescent experience. This isn’t preparation for a job, though! Rather preparation for adult life means that adolescents begin to understand the context for the human experience amongst other living things on earth, within the big picture of human progress, how we have used technology for the building up of civilization, and how each of us is a part and player in human history.

It is important to remember that adolescents are on their path to maturity. Social organization offers them the opportunity to step firmly onto the bridge from childhood to adulthood by living and experiencing aspects of what it means to be in society and the moral questions that arise as a result of being a human living amongst others in the web of life. In addition, social organization provides adolescents the chance to develop their own independence in the context of how we are all connected to each other. 

In our families, communities, or schools, let’s keep these ideal principles in mind as we support our adolescents. We also welcome you to visit our school to see how we prioritize social development!

Toilet Learning: The Montessori Way

As parents we quickly learn that children have control over three things: eating, sleeping, and toileting. Rather than engage in power struggles, however, we can help children develop the skills they need to manage and gain mastery over these essential aspects of life. 

In Montessori learning communities, young children learn how to prepare snack, fall asleep without assistance, and dress themselves. In addition, they learn how to control their sphincter and stay dry. This process, which we call “toilet learning" or “toilet awareness” takes time, yet it is a vital part of becoming independent.

Because we are helping children with an important aspect of their independence, we try to avoid the terminology of “toilet training.” After all, we aren’t training our children like we might train a dog! Rather we are helping children feel the success of becoming fully independent as they become masters of their own body functions. 

The process takes time but doesn’t have to feel daunting. Here are some key aspects of toileting the Montessori way.

Establish Body Awareness

Toilet awareness starts at birth. From the earliest days of life, we talk to our infants about what is happening as we change their diapers. We might say, “Your diaper is wet from your urine,” or “I am wiping your poop off your bottom.”

To help our infants become aware of being wet or soiled, it’s best to use cloth diapers. Disposable diapers are very effective at wicking away moisture, which leads to children not connecting the act of eliminating pee with the feeling of being wet. As children shift into toddlerhood, they can begin to wear cloth underwear.

Useful phrases:

  • “Does your diaper feel wet or dry? Is there poop in your diaper?” 

  • “Your underpants feel so heavy! You must have had a lot of pee come out.” 

  • “I see you are squatting down and pushing. Your poop is coming!” 

Collaborate 

When a child is wet, we help them to the bathroom and collaborate with changing out of their wet underwear. We allow them to sit on the toilet to see if any urine is left that can be pushed or released into the toilet. Then once they have on dry underwear, they return to their activity.

Children need to feel involved in the toileting and changing process. They can assist in getting the clean underwear or diaper and putting any soiled items in their appropriate place. This gives children the feeling of some power or control in what is happening.

Useful phrases:

  • “You can hold your shirt up while I pull down your pants.” 

  • “You can open the Velcro on this side of your diaper and I’ll open the Velcro on that side.” 

  • “I’ll have a turn to wipe your bottom, and then you can have a turn!”

State the Facts 

We are careful to stay matter of fact through the toileting process. Going to the toilet is a very natural thing to do, so we treat it as such. When children have wet or soiled their underpants or cloth diapers, we show them the dirty pair of underpants or diaper and where it should go. When appropriate we may even deposit feces from their underwear or diaper into the toilet. Children very quickly begin to associate and understand the process. Even when they begin to use the toilet successfully, we avoid clapping and celebrating and instead stick to the facts. 

Useful phrases:

  • “Everyone poops!” 

  • “Pee and poop go into the toilet.” 

  • “It’s time to try sitting on the toilet.”

  • “Your underpants are wet. Let’s change into some dry underpants. Do you remember where to find your dry underpants in the bathroom?” 

  • “Look, there’s some pee on the floor. Please bring me the clean-up bucket from the bathroom so that we can dry the puddle.” 

Keep it Light and Friendly 

Children are very sensitive to adults’ emotions, even when we try not to show them! Thus we make sure to have a positive, light, and friendly attitude toward the toileting process. Our approach helps children feel comfortable with their normal bodily processes. So we make sure to avoid any facial expression, comment, or tone of voice that conveys disgust or dislike, frustration or impatience. We stay relaxed and positive, so children can feel that way too. 

Useful phrases:

  • “We can always change into dry clothes!” 

  • “Everyone used to wear diapers—even Mommy and Daddy! Now we can use the toilet. You can, too!” 

No Tricks or Treats 

We offer the toilet, but we never force children to sit on the toilet. We also avoid asking children if they would like to sit on the toilet. There is a happy middle in which we suggest that they sit on the toilet or let them know it is time to sit on the toilet. Ultimately, we trust that children will incorporate this part of daily life into their routine. Young children love the consistency of routines, so we ensure, from the very beginning, that toileting is a regular part of the day.

Bribing, reward charts, and punishments may have short-term results, but do not work for the long-term goal of helping children develop independence, self-assurance, and mastery of this essential part of their humanity. We allow children the time to be successful. Rather than scolding or over-congratulating, we know that children will learn through experience and feel proud of their accomplishments.

Useful phrases:

  • “It’s time to sit on the toilet.”

  • “You peed in the toilet. You did it all by yourself.”

Respect the Process 

Often when adults change children it is all done so quickly that children aren’t even aware of their bodily functions. Rather than rushing, we take time to explain what is happening and offer opportunities for collaboration. 

It’s showing the utmost respect to children when we help them learn how to do something for themselves. When children able to respond to their body’s needs, they are one step closer to being fully functioning, independent young people.

Art for Self-Expression

Numerous theories and lots of research expound upon the importance of artistic expression. For young children and adolescents, art is an especially crucial form of personal expression. As such, children need to experience their own process rather than to produce a piece that someone else wants. In Montessori, we also have sensitivity to different expressive needs throughout different stages of development. 

Process vs. Product

For young children, the process of making art is much more important than the product. When infants and toddlers are engaged in art activities, they are expressing feelings that they may not yet have words to express. Thus, during these early years, we focus on offering young children a variety of different artistic mediums.

When children are using different art materials, we first provide opportunities to work with larger spaces and then later move into the smaller more refined possibilities. For example, we start with painting at the easel, then as children develop more coordinated hand movements, we offer smaller paper or objects to paint.

Use of Tools

In addition to introducing different kinds of materials, we also show young children how to use different tools. We show how to use just a little water and the tip of the brush with watercolor paints. We explore different techniques with crayons. We introduce various tools–like knitting needles, crochet hooks, or looms–for fiber arts. Whatever the form of art, we offer the tools required for successful expression through that form.

We also open up a range of possibilities for children to explore. For example, in introducing clay, we show how to carefully get out the clay, how to use different techniques such as forming coils and slabs, how to cut, carve, or roll the clay, and how to store it when finished. We may also show examples of clay sculptures, whether in books or museums. With all of this information, children have a range of inspiration when they decide to work with clay. 

Adult Response

To support young children’s artistic expression, we offer objective comments: “Oh how interesting…the lines go up and down,” or “I can see you used a lot of red and blue paint today.” We want to be very careful with what we say so we don’t give any indication of judgment, either good or bad. Young children do not yet have the language to explain their art. Therefore, we want to make sure our comments don’t inadvertently create expectations for children.

In Montessori, adults don’t insist that children express themselves artistically, or tell children what to express. When children choose some form of artistic expression, adults allow them the freedom to be with themselves while in the process of creating art. With this in mind, children’s artwork is individual, creative, non-competitive, and often connected to other subjects. We don’t expect children to learn to imitate adult creations or turn out products that all look alike. 

Montessori elementary art

Into the Elementary Years

From six to twelve, children began to use art in a more cognitive way. Often elementary-aged children began to want their artwork to be very realistic. They may focus more on the finer details of a particular piece of art rather than on the overall composition. As a result, children of this age can become discouraged if they feel their art “doesn’t look right.” Their determination is relentless. Because they will often insist upon realism, even at the risk of giving up on their artistic ability, we offer many different sub-skills to help children refine their techniques.

Art in a Montessori elementary classroom is often connected to students' intellectual pursuits. When studying Ancient Egypt, students may want to create a portrait in profile or a model of a pyramid. If they are immersed in learning about a country, they might learn about the symbolism of the flag’s colors and sew a sample flag.

All of this work is aided by the fact that children of this age love big projects. To support their artistic and intellectual pursuits, we provide elementary students with a kind of mini-studio so they can access the materials they need to create big projects and share their learning with their peers. 

Through Adolescence

During adolescence, young people need even more opportunities to form, shape, express, and clarify their inner thoughts, feelings, and experiences. Artistic expression can be a vital outlet during this turbulent time, and can allow adolescents to not only reach a better understanding of who they are but also to be able to connect deeply with others through shared expression.

Questions of identity and fitting in weigh heavily on adolescents. Without ample opportunities for expression, these already perplexing questions can fester. Adolescents need creative outlets to keep their spirits vibrant!

In addition, expressive opportunities allow adolescents to merge their emotions with their intellect. It’s best to have a variety of avenues for artistic expression: instruments readily available to pick up, an art studio to transfer complex feelings into visual art, or opportunities for dramatic interpretation of academic content. 

Vital Form of Expression

In Montessori, we feel strongly that young people need artistic outlets so they can have balance in their physical, emotional, social, intellectual, spiritual, and creative development. A Montessori environment supports the development of the whole person, thus allowing children to explore their personal creativity.  

Art is a vital form of expression throughout different stages of growth. Through art children can express what they are feeling, elementary-age students can integrate their learning and refine their skills, and adolescents can better understand themselves and their connections to others. Creating art can allow our young people to reveal feelings that they could perhaps not express in words. Thus, we offer children a variety of art mediums and different experiences, as well as the freedom to choose and experience the form they have chosen.

As always, we invite you to come to visit our school to see this artistic expression in action!

Independence: The Foundation of Freedom

In order to be truly free, we need to be able to make our own choices, which means having the skills and abilities to then act upon our choices. Without independence, we can’t truly be free. 

As children’s independence grows, so does their opportunity for freedom. They have more choices available and more to consider. The freedom children experience in our prepared learning environments is directly related to their independence. Over multiple years in their classrooms, children feel like masters of their environment and younger children look up to them as if they have superpowers.

In order for children to develop this freedom and independence, we make sure that the following opportunities are present in our classrooms:

To Choose Their Own Activity 

Even at a young age, children have ideas of what they want and don’t want to do. This independence will only increase when children have opportunities to make decisions. In Montessori classrooms, we provide opportunities to make choices, but it is not a free-for-all!

The classroom is set up with a variety of activities designed to meet developmental needs. Children are free to choose any material they have been shown or that they have the ability to do. Thus, children must have the skill before being able to choose.

To build this ability to make a choice, we start by offering children choices about very simple things. When an activity has two parts, we might ask: “Would you like to carry the box or the tray?” Then we give another opportunity to make a choice: “Lovely! You may carry the tray to any table that you choose.”

Over time children develop the ability to make increasingly more complex choices and they build the skills that allow them more options in their learning environment.

To Work Without Interruption

Once children choose an activity, they are free to do it for as long as they like without anyone else (adult or child) interfering with their work. In this way, we protect children’s focus and concentration. As a bonus, because the materials are self-correcting, children don’t need an adult for validation. 

The adults in Montessori classrooms work to protect children who are actively engaged in purposeful activity from interruption (even if this is a three-year-old washing a table and water is pouring off the table!). If children get interrupted a lot, their concentration becomes broken which can result in them not wanting to take risks or engage with challenging learning material.

The experience of being interrupted can happen a lot to children. They try to start doing something and someone comes along and stops them or finishes it for them. Yet children need to be able to deeply dive into activity in order to develop concentration and focus.

To Move Freely

Children are free to move about the classroom. Rather than having an assigned table or workspace, they can choose to work where they want and also with whom they want. They have the liberty to get up and move, get a drink when thirsty, or go to the bathroom when needed. If there is a group activity in the classroom, children are even free to choose whether or not they want to participate. 

To Communicate With Others

Children also have the freedom to communicate. They can speak to whomever they want and when they want, as long as it is not disturbing their own or others’ work. This freedom is a gift to children who are often asked to be quiet and not to talk. Children in our learning environments have the freedom to speak and the ability to be heard, which means that the adults in the classroom make it a priority to be respectful when children want to communicate something. 

To Work at Their Own Pace

Unlike in traditional environments where children move together along the same path (this half hour is story time, this is math time, etc.), Montessori children have the freedom to work at their own pace. To facilitate this, our schedule is specifically designed to offer large blocks of uninterrupted time so children have the freedom to spend the time they need on the activities they choose. 

Working with learning materials is how children are developing themselves. They need time to reflect and integrate what they are learning. Therefore, children also need to be able to repeat an action as often and as long as they would like to do so. When children are new to Montessori classrooms, we sometimes need to let them know about the opportunity to work at their own pace and rhythm by reminding them, “You can do this for as long as you like!”

Limits

In order to support this foundation of freedom, Montessori classrooms have a few basic limits that support independence. In addition to ensuring that children aren’t distracted or interrupted in their work, we help children learn that materials can only be taken off the shelf and must be returned to their proper place on the shelf. These basic rules are clear social signals to children as to when a material is available for use: when a material is on the shelf it is available, and when the material is not on the shelf, it is not available. 

Children are also part of restoring materials so that they are ready in their proper place. In the process of making the activity beautiful for the next person, children learn how to replace wet towels with dry towels, how to dry drips of water off a tray, or how to replace anything that was consumable. When the materials are restored and returned to their proper place on the shelf, then children can access the materials independently.

Development of Independence & Freedom

As children gain skills and abilities, their independence increases and so do their choices. Activities are available and ready for use so that children are not dependent upon anyone to get things for them. Children can choose where they do their work. The lessons we offer are designed to provide just enough information for children to continue the activity independently. We offer these liberties in harmony with children’s skills, abilities, and level of independence so they can experience a variety of freedoms in their learning community. 

Curious about how this all works? Schedule a tour to see how independence and freedom are interconnected!

Our Montessori Bookshelf: Mathematical Thinking

The Man Who Counted

As humans, we are predisposed toward order, exactness, and precision. With this tendency to abstract and imagine, we could be said to have a mathematical mind. Children, young and old alike, are drawn to numbers and mathematical ideas. 

For thousands of years, math has been a part of the human search for meaning. We have long tried to quantify our natural world. From carbon dating artifacts to analyzing voting trends in politics, from understanding traffic patterns to examining climate change, math continues to be an integral part of our search for understanding.

Learning to think in mathematical terms is an essential part of becoming a person adapted to our time and place. Math is such an integral part of our lives and we feel that it’s vital to ensure our children are not only in touch with mathematics but also captured by the beauty and wonder of math in our world. 

With this in mind, we pulled some of our favorite books that promote mathematical thinking for young children through early adolescence. 

Counting Is for the Birds

by Frank Mazzola Jr.

Written in rhyme, this picture book can be used in different ways with young children. Some may just enjoy the story and illustrations, others can clue into the counting aspect of the book, and older children might explore the ornithological details provided on each page. This is the kind of book that you can revisit again and again with your children!

4,962,571

by Trevor Eissler, Ruth Chung, Bobby George, June George

Written by a former Montessori parent, this picture book is a lovely introduction to and extension of the concept of place value. A young boy wants to see how high he can count, so he figures out ways to create groups of numbers so he can count to four million, nine hundred sixty-two thousand, five hundred seventy-one (and beyond!). Plus, anyone who has been in Montessori will appreciate the color coding of the numbers in the title!

How Much, How Many, How Far, How Heavy, How Long, How Tall Is 1000?

by Helen Nolan, illustrated by Tracy Walker 

Children at the end of their primary years or those who have recently transitioned into elementary will definitely appreciate this exploration of the quantity of 1,000. Full of thought-provoking questions, this picture book takes readers on a journey through how a 1,000 can be represented in so many different ways – and how that can change our impression of the size of the number. 

One Grain of Rice: A Mathematical Folktale

by Demi

This stunningly illustrated picture book provides both a moral tale and an example of the exponential power of multiplying by two. After a raja in India has hoarded rice for his own benefit, a young girl returns some spilled rice to him and as a reward requests only one grain of rice, as long as the raja doubles what he gave her the day before over the course of 30 days. By the end, she has more than enough rice to share with all the starving villagers, as well as the goodwill to support the raja in continued kindness.  

Anno's Mysterious Multiplying Jar

by Masaichiro Anno, Mitsumasa Anno

For those who love Anno’s Journey, this is a must-read, but this time the illustrations and text take the reader on a mathematical journey through factorials. Then to show what happened mathematically, the Annos (father and son) illustrate the multiplication in a graphic way that fits so well with what children experience with the Montessori math materials. 

Mathematicians Are People, Too: Stories from the Lives of Great Mathematicians, Volumes 1 & 2

by Luetta Reimer, Wilbert Reimer

This collection of short stories dramatizes conversations and lives of mathematicians throughout history and can easily capture the imagination of elementary-aged children who love the power of a good story. The stories can stand alone or be jumping-off points for further mathematical or historical investigations. We love the glossary at the end, the short biography at the start of every story, and the fact that female mathematicians are fairly well represented in these two volumes. 

The Number Devil: A Mathematical Adventure

by Hans Magnus Enzensberger, illustrated by Rotraut Susanne Berner, translated by Michael Henry Heim  

This is the perfect book for older elementary-aged children who aren’t quite sure they want to still love math. A boy meets a number devil in his dreams who leads an exploration of all sorts of fascinating aspects of numbers. The wildly fun and irreverent approach (led by the devil) makes even complicated math feel accessible. The whimsical illustrations certainly help, too! And for those wanting to go back and reference helpful information, there is a “Seek-and-Ye-Shall-Find List” (aka index) at the end of the book. 

Doodle Yourself Smart . . . Math

by Helen Greaves, Simon Greaves

For elementary children and adolescents who like to play around with mathematical thinking, this is a fun activity-style book that appeals to mathematicians and artists alike. Each page offers beautiful space for playing around with the problems (and yes, there are answers in the back for those who just need to know if they got it right!).

The Man Who Counted: A Collection of Mathematical Adventures

by Malba Tahan

Those who like a good mathematical challenge, combined with a taste of the adventure that comes with travel, will love this series of chapters that form a bit of a novel. Each chapter of this book can stand alone or work as a cohesive whole as the narrator and the “man who counted” move through the Middle East. They encounter a slew of social problems that are solved with a sophisticated level of number sense that feels both mystical and matter-of-fact. 

Click here for a downloadable PDF of this booklist! As always you are also welcome to come visit the school and see how we support mathematical thinking for all ages.

Materials Spotlight: The Bead Chain Cabinet

Montessori bead cabinet

Visit any primary or elementary Montessori classroom and you’ll immediately notice a stunning display of colorful glass beads hanging in an open cabinet. Children (and adults!) are drawn to the order and elegance of the bead chains. Beyond their initial aesthetic appeal, the bead chain material offers an amazing array of intellectual opportunities for young children to those in their elementary years. 

Color-coding

One of the brilliant aspects of the Montessori math materials is how they provide children with multiple ways to make neural connections. For example, each of the bead bars represents a quantity and each bead bar is also color-coded so that the quantity is connected to a color: a bar with two green beads represents two, a bar with five light blue beads represents five, a bar with eight brown beads represents eight, etc. This color coding allows the child’s brain to establish multiple quick ways to understand the quantity: the number of beads, the color, and the size. 

Appealing

In Children’s House, young children are attracted to the beauty and fragility of these colorful, glass beads. Long before they are ready to use the bead chains, young children can learn how to dust and care for the beads. They develop a respect for the materials and understand how special they are. Often young children will watch in awe as their older classmates learn how to carry, lay out, count, and label the bead chains. 

Linear & Skip Counting

As they practice counting the bead chains, four- and five-year-olds solidify their understanding of teen numbers, as well as quantities from units, to tens, to hundreds, to thousands. Eventually the focus of work with the bead chains shifts from linear counting to skip counting, as children begin to focus more on the labels that indicate the end of each bead bar. For example, on the 100 chain, children label and name 10, 20, 30, 40, 50, 60, etc. Children can also layout, count, and compare the 100 chain and 1,000 chain side-by-side, providing the sensorial experience of the different quantities laid out in a linear fashion. 

Multiplying

As children move into their elementary years, they are solidifying their skip counting in relation to mastery of multiplication. They love to quiz each other by turning over some of the labels to see if their friends can figure out which of the multiples is missing. So for the short chain of multiples of seven, for example, they might turn over one label to see if their friend can figure out the missing multiple: 7, 14, 21, __, 35, 42, 49. 

The bead chains are also used to provide an impression of common multiples, which is critical for future work with fractions. Children lay out two long chains side by side, label the chains, and then find all the common multiples, and also begin to intuit the concept of the lowest common multiple.

Squaring & Cubing

The other fascinating aspect of the bead chains is how they geometrically represent the concept of squaring and cubing. Children learn how to fold up the bead chain so that it creates a square made up of four rows of four: 4 x 4 = 16. 

This work can continue with the long chains, each of which creates the cube of numbers one through ten.

In addition to the hanging chains of bead bars, the bead chain cabinet also contains beautiful squares of each number, which can be stacked to create cubes, as well as the actual cubes for each number. The squares and cubes can be used for explorations with powers of numbers as well as more advanced work when students start to explore working outside of the base ten number system. 

As children move into more advanced mathematics, they will often briefly revisit this foundational material to cue their memory when working with exponents.

Spiral Curriculum

The bead chain materials provide a perfect example of the spiral nature of the Montessori curriculum. From early linear counting, cycling into an understanding of multiples, to preparation for squaring, cubing, and base number work, children come back again and again to the beauty and breadth of the bead chains.

We invite you to visit our school to see the bead chains for yourself!