Our Montessori Bookshelf: Mathematical Thinking

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

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! 

Montessori at Home: The Baby’s Room

When children come into our lives, we want to make sure we offer them the very best. Yet our children develop so quickly and their needs change so dramatically!  

By having a clear, yet simple, plan we can prepare a bedroom space for our young children that not only supports optimal development but also helps us, as adults, feel prepared for each stage of development.

Clear Spaces

The child’s room should have boundaries that will help them be comfortable and thrive. One way to do this is to create a space that only has what is needed, with specific areas for each type of activity. For example, the child’s room needs to have areas for:

1. Physical care

2. Sleeping

3. Feeding (until weaned)

4. Moving

Although these spaces will shift a bit as our children develop and their needs change, we can prepare a room that is consistent yet easily adapted for each stage of development.

Above all, the child’s environment needs to be practical, beautiful, ordered, and safe, and at this stage, also needs to meet the parent’s or caregiver’s needs.

From Zero to Five Months: Birth to Weaning

Because young infants are adapting to a new world outside the womb, they need consistent points of reference to feel secure. This sense of security and consistency–with furniture, people, and daily routines–allows our newborns to feel able to explore their surroundings.

Physical Care

During these first months of the child’s life, the physical care area in the room has furniture and items for diapering and dressing. At this time the adult is the whole world for the child, so it is best for the changing table to be set up so the adult is at the baby’s feet so they can see the adult talking (describing what is happening, naming body parts, etc.). 

Sleeping 

Ideally the sleeping area has a low floor bed that provides an unobstructed view of the room and freedom of movement. Because this bed can stay consistent as our babies grow, it can help to start with a large-enough mattress (e.g. twin bed size). With room to move, babies will start to slither and eventually will be able to freely crawl into bed.

Feeding

The feeding area begins as a space designed for nursing mothers and babies to bond during breastfeeding. The space thus needs to be peaceful with a comfortable chair and a table or shelf with everything the feeding adult needs to have close at hand.

Movement

This area has three key elements: a mat, a mirror, and a low, open shelf. A hook in the ceiling above the mat can be positioned for hanging and rotating Montessori mobiles. A mirror mounted on the wall allows babies to begin to see themselves and their movements. A low, open shelf can store manipulative materials. Eventually babies will start slithering to the shelf to get these developmental aids.

From Five to Twelve Months: From Weaning to Walking

The room doesn’t need to change dramatically during this time and only needs a few, key modifications.

Feeding

The feeding area still has the adult chair for breastfeeding and snuggling, although during this time children begin the weaning process. This important separation process allows children to form their personal identity.

The weaning table and chair are important new additions to the room. This small, wooden table is very heavy and stable, with rounded edges and a beautiful place setting. In addition to a small, stable, supportive wooden chair for children just learning how to sit upright, the parent or caregiver has a stool so they can also sit and offer some of the first foods.

Movement

To help children be able to pull up and cruise, we can add a bar to the mirror and eventually remove the mat. An ottoman in the movement area can be a used for crawling around, pulling up on, and cruising around. The ottoman could be the same footstool used with the nursing chair. As children begin to cruise and walk, it’s nice to also include a lighter weight table, chair, and stool that they can push and move around themselves.

From Twelve to Thirty-Six Months: The Walking Child

Walking is an incredible accomplishment in human development. Rather than using their hands to aid in transportation, children can use them to transform their surroundings.

Sleeping Area

The bed can stay the same (or a little higher since they can now use their hands and whole body to climb onto it).

Feeding Area

At this point, the feeding area can shift completely to the family eating area. 

Physical Care Area

As children learn to walk and develop more muscle control, they will eventually shift from needing diapers to using the bathroom for toileting, or at least transitioning to standing diaper changes in the bathroom. We can thus remove the changing table and replace it with a small wardrobe with a mirror, so our children can see themselves dressing. 

Movement Area

Once children don’t need the assistance of the bar, we can remove it, as well as the mat and the mirror. It’s important to remember that children’s furniture should be proportionate to their mental and physical strength, so they are challenged, but in a way that allows for successful mastery with some effort. Above all, the furniture should be child-sized.

General Considerations

It is important to keep in mind that children have their own developmental paths. With this in mind, the above changes in the room should be done only after thorough observation of how our children are developing.

Children’s awareness of their environment begins at home, later expands to school, then to the community and local culture, and then beyond to their country and the world. The experiences children have in these environments become part of who they are, so we want to take care to prepare the best spaces possible!

If you want some inspiration, come visit our classrooms to see how we prepare environments for children’s optimal development.

The Montessori Prepared Environment

In Montessori, we talk a lot about the “prepared environment.” Really, though, this concept of a prepared environment isn’t limited to Montessori. In fact, from the earth’s biosphere offering an array of support for life, to the fragrant and colorful flowers existing to lure pollinators, to a woman’s uterus preparing each month for the implantation of a fertilized egg – prepared environments are all around us!

A prepared environment has three essential purposes:

1. to offer protection, 

2. to provide nourishment, and 

3. stimulate growth. 

In Montessori, a prepared environment is a place for children that is specially designed to appeal to their sensitive periods for learning, as well as their fundamental human tendencies. When designing these prepared spaces for children, we take into consideration how to ensure children feel protected and nourished, so they can reach their potential. Basically, the Montessori prepared environment is a place where children can feel at home as they develop their inner selves and outer skills.

One of the ways we offer children safe, home-like learning environments, is through our attentiveness to how the physical space is set up to meet children’s developmental needs. The classrooms have small, easy-to-move tables and chairs, as well as plenty of windows that let in bright, inviting light. Large open floor space allows children to work on the floor on rugs and move freely about the classroom. Low, open shelves display orderly arrangements of beautiful materials which invite children to engage with an array of learning activities. 

The materials on the shelves are quite aesthetically appealing and have been developed out of trial and observation in schools all over the world. The beauty of the materials and the classroom appeals to children’s development of an aesthetic sense, while the arrangement of materials from concrete to abstract provides children with a solid sense of order. 

In addition to being beautiful, the materials in the environment are real and purposeful. Containers for items even offer different textures and sensorial experiences. Because the materials are authentic, they offer children clear guidelines regarding use and misuse. Fragile items help children learn how to handle items with control and care. Plus, having access to beautiful, breakable treasures conveys an essential message of goodwill and trust.

In the beginning, adults assist children in getting their bearings in the classroom and teach the precise use of each material. The children then have the freedom to choose what they do and to focus for long periods of time. 

Although adults are not the focal point in Montessori classrooms, adults are of prime importance. While they may have an outward appearance of passivity, the adults are acutely alert to what is happening in the classroom community. In addition to this presence and awareness, adults in Montessori classrooms must prepare themselves in profound ways. They have extensive intellectual and practical training to be able to link children with different aspects of the learning environment as well as with the breadth and depth of educational materials. Because the adults model how to have a peaceful environment where everyone is respected and able to work without distraction, they also must prepare themselves on a personal and spiritual level. 

In addition to this psychological safety, Montessori prepared environments also focus on the importance and value of living things and outdoor spaces so children can keep and develop their connection to nature. Ideally, the classroom includes a garden area in which children can sow seeds, care for living things, and participate in harvesting the fruits of their work. The indoor and outdoor spaces often blend together with plants and animals as integral aspects of the classroom. In Montessori, we consider this connection to nature to be an essential part of education.

The connection to nature both in and out of doors, the arrangement of open space with child-sized furniture, the ordered and aesthetic materials, and the centrality of children with adults offering background support, all provide children with the protection and nourishment they need to develop independence and active engagement.  

Children in Montessori prepared environments love their learning spaces! Come visit our school to see how the classrooms appeal to children on so many levels as they engage with their community and construct their understanding of the world.

Discipline: The Positive Way

We are often asked about how we handle discipline in Montessori. It’s a great question because we think differently about discipline. Ultimately, we want our children to develop self-discipline and to understand how to balance being an individual within a community. We know that children need to have a sense of belonging and significance; they want to feel and be capable in the world. In the process of learning how to use their power constructively, we understand they will make mistakes along the way. 

In thinking about discipline, it can be helpful to consider how we, as adults, want to be treated when we make a mistake. If we start arriving late for work, for example, how would we want our supervisor to respond? Imagine if we were reprimanded, especially publicly. We might slink into discouragement, feel resentful, or even lash out. Or maybe our supervisor doesn’t hold us to expectations of timeliness and we eventually don’t even feel the need to get to work promptly. However, if our supervisor kindly and quietly reminds us about arrival time expectations, perhaps even checking in about what is going on in our lives, their warmth and understanding can inspire us to do better. 

Our children deserve and need the same kind of respect. They do best when they are encouraged rather than punished or pampered. Yet often we get caught in a cycle with our children. We punish or cajole. Our children rebel, maybe get back at us, or perhaps retreat. Things get worse. We may react and layout more consequences, as if making life more miserable will help our children make better choices. In reality, we are all more likely to do better if someone supports us to figure out what went wrong and how to make things right.

The practice of Positive Discipline aligns well with Montessori philosophy and helps us shift from being punitive or reward-based to being kind and firm at the same time. Positive Discipline is a respectful approach that acknowledges that when children feel worse, they do worse, and when children feel better, they do better.

To balance being kind and firm at the same time, while also ensuring that we are supporting our children in healthy ways, we can listen to what we sound like when we communicate with children. Are we issuing directives or asking for cooperation? Are we forging relationships or cutting off connections? Are we brashly belittling or kindly reminding? 

One way to become more aware of talking with our children rather than to our children is to practice the Positive Discipline principle of connection before correction. Connection before correction means that we focus on creating closeness and trust instead of distance and hostility. If we notice a child has left their coat on the floor, it’s most effective to first connect with them in a loving way before reminding them to clean up after themselves. 

Basic brain science explains why this is the case. Scolding, nagging, lecturing, blaming, shaming, yelling – all cause the recipient’s brain to shift into “flight, fright, or freeze” mode. Children (and adults, too) function best when they feel safe, trusted, and accepted. 

Connection before correction can be as simple as first getting to a child’s eye level and smiling before addressing the need at hand. Or perhaps it’s saying, “I love you, and the answer is no.” 

Other ways of making a connection include active listening, spending special time together, validating feelings, asking questions, and giving hugs. Effective connections are made when everyone involved feels significance and belonging. 

When children feel a connection, their sense of belonging and significance increases. Often this connection is enough to stop misbehavior and facilitate cooperation. The real bonus is that when we take the time to first connect rather than correct, we actually end up feeling better ourselves. Everyone benefits. 

Positive discipline practices are an essential component of how Montessori communities function so effectively. We would love for you to come to visit our school and see how we are kind and firm at the same time, how we practice connection before correction, and how we see mistakes as opportunities to learn. Schedule a tour to learn more!

Roles & Goals: The Montessori Guide

Our society knows teachers. Teachers give information. Teachers provide an education. Teachers instruct. 

In a Montessori classroom, however, the role of the adult is rather nuanced. The adult is there to facilitate, suggest, model, and observe. The materials teach. The adults advise.

Those of us accustomed to traditional models of education may find this odd or even worrisome. How can we expect our children to learn if the teachers don’t teach?  

Traditional vs. Montessori

Because the Montessori model is quite different from traditional education, the adults responsible for providing a Montessori experience have very different responsibilities, skills, and abilities than those of teachers in a traditional method. 

Historically children have been seen as blank slates or empty vessels that just need to be filled with information or knowledge. The teacher’s role has been to fill the vessel, to teach. Because the teacher passes information, correction, and validation to the student, the teacher is the material for learning. 

Rather than seeing children as empty vessels, Montessori teachers see a bundle of potential just waiting to be realized. As such, the focus is on discovering these hidden potentials in children and supporting their development. This happens most effectively when children are actively engaged in their learning process. 

In the traditional model, a teacher needs a number of tricks, including a system of rewards and punishments, to keep children focused on learning. But this framework of grades and evaluations isn’t actually necessary for children to learn.

In Montessori, we see the deep intellectual, social, and emotional engagement that happens when children get to learn through their own activities. Children get to use a variety of hands-on materials to explore, discover, and internalize key concepts and skills. Montessori teachers introduce how to learn from the materials in the classroom. As a bonus, because children are active participants in their own learning, they don’t have to sit passively while remaining focused on the teacher’s activity.

Roles & Goals

So, if a traditional model demands that the teacher’s presence is active and the student’s presence is passive, what does it look like in a Montessori classroom? When you look in a Montessori classroom, at first it may be hard to find the adults because the role of the Montessori teacher should be (or appear to be) a passive one. You may see an adult observing the room or particular children, inviting a child to a small group or one-on-one lesson, or sitting with children who are using the learning materials. 

Sometimes it can be clear that the adult is presenting a lesson. In these moments, the adults do look a lot like teachers, just working with a small group rather than the whole class. Yet during these brief presentations, the goal is rarely to dispense information. Montessori teachers don’t want to teach the trick for compound multiplication, the names of all the countries in South America, the characteristics of mammals, or the function of a verb in a sentence. Rather, the goal is to give the children just enough of the lesson to pique their interest or capture their imagination. We want them to return to the learning materials again and again so that they discover the mathematical proof, scientific concept, geographical boundary, historical connection, or grammatical rule on their own.

Teachers vs. Guides

Because this goal and the role of the adult are so different, we often refer to our teachers as guides. This change in terminology shifts our thinking. Montessori teachers don’t lead a class from the front of the room. Our guides provide paths for children to learn that the quantity of 10 feels bigger than the quantity of two, that nouns name things, that equivalent fractions really fit into the equal space, or that 82 actually forms a square! 

Montessori guides are acutely aware of how to support children on these varied and delightful paths of progress. Like the rudder of a ship, our guides allow children to embark on a journey of discovery while offering adjustments and changes to the course as needed. The result? Children flourish as active, creative, curious thinkers.

We’d love to have you come to visit our classrooms to experience how we guide children in this remarkable world, encourage active engagement, and support a life-long love of learning.

Time for Togetherness

During the holiday season, we can unintentionally become a bit edgy or stressed. Routines change. We might travel or have out-of-town guests. While our children may feel excited about the holidays, they also can feel the changes in family routines or shifts in family dynamics. 

If we are getting together with extended family or friends—no matter how loving, patient, and well-meaning—having additional people mixed into the scene, especially during the holiday season, can add additional layers of stress. Often our children absorb this unspoken stress and their behavior may shift as a result.

Perhaps we see more meltdowns, an uptick in neediness, an increase in whining, more resistance, or a surge in sibling conflict. If our children start to show attention-getting behavior, we can remember that they are sending an important message about unmet needs. It’s like they are waving a red flag to indicate we should shift our focus!

Step 1: Connection

The first step is connection. Children want to feel a sense of significance and belonging. So even a few minutes of loving attention can refuel children who are feeling disconnected. Depending upon their age, this could mean snuggling together on the couch, collaborating on coloring a picture, taking the dog for a walk together, or shooting hoops. The most important thing is that the focus is on being together without distractions. 

Step 2: Preparation

Once we’ve established that connection and our children feel secure and satisfied, we can discuss changes that occur during the holidays. Will bedtimes be different? What will shift about meals together? What kinds of activities will likely happen?

In preparing ourselves and our children for time with extended family and friends or changes to expect during the holidays, we can consciously reflect together about what routines will shift, what traditions we want to honor, and what joys and challenges the time may bring. 

Our children like to be prepared and have a sense of what to expect. Involving them in the discussion, planning, and preparation can alleviate not only their anxiety but also our own angst. 

Mapping out the days on a family calendar provides a visual guide for the changes in routine. A whiteboard works well, easily allowing for modifications if the plans become overwhelming. Take time to have conversations about what activities are most enjoyable for everyone. Then cut back on those that are not essential. 

Step 3: Mindful Involvement

When we are in the midst of being amongst friends and extended family, the experience of collecting snippets and stories of favorite holiday experiences can be a bonding experience for everyone. Part of the ritual of coming back together around the holidays can include sharing, and even documenting, different memories of past times together. This kind of sharing offers everyone a way to reorient and reunite. The recollections can even be collected in a kind of family memory book that can be pulled out when everyone gets back together again. 

Children and relatives also want to help. Intentionally enlisting extended family to support children’s involvement can create a win-win for everyone. Some possible collaborative activities include food preparation (scrubbing potatoes, mixing dough, tearing lettuce for a salad), making simple decorations, setting the table, folding the laundry, and even dusting and tidying. We all feel more settled when we feel useful and engaged.

This holiday season we have an opportunity to consciously create new rituals and opportunities for our children, our friends, and our extended families. Rather than rely upon old patterns perhaps learned from previous generations, let’s plan our time of togetherness and mindfully prepare ourselves and our children.

Power & Potential: The Sensitive Periods

Have you ever noticed how sensitive young children can be to changes in routine? Even the slightest schedule adjustment can throw things off. On the positive side, young children also have an incredible ability to internalize the order of their daily activities. They intuitively know when something is supposed to happen during a regular day.

It’s also pretty amazing how quickly young children absorb the intricacies of language, how they progress so seamlessly from sitting to crawling to walking to running, or how they can be so focused on tiny details and objects. 

During these times in their lives, children seem to be compelled by an irresistible force. Think of the little one who wants to climb up the steps again and again. We can try to stop them, but they are undeterred! And despite the great effort involved, the activity almost seems effortless to them. 

In Montessori, we pay close attention to these periods of time when children show intense focus on mastering a new skill, creating deep understanding, or refining their abilities. We call these times “sensitive periods.”  

What are Sensitive Periods?

To paint the picture of sensitive periods, Dr. Maria Montessori used the example of newly hatched caterpillars. These young caterpillars hatch from eggs in protected nooks but are drawn toward the light where they can eat soft, young leaves at the ends of branches. The young caterpillars aren’t aware of the fact that going toward light will provide them with a food source. Rather, they are responding to a biological impetus. Once that need is satisfied, the caterpillars no longer have the desire to move toward bright light. That sensitive period is over and they shift into the next stage of their development.

Like the young caterpillars, young children in a sensitive period become incredibly absorbed with acquiring or mastering a new skill and hone in on the activity that aids their development. Neurologically, this is the time when groups of neurons become more active than others and establish key neural networks in children’s developing brains. These windows of opportunity are transitory and marked by children’s passionate focus on mastering a skill or characteristic.  

In Montessori we focus on four main sensitive periods:

• Order

• Language

• Refinement of the Senses

• Movement

Sensitive Period for Order

The sensitive period for order is most intense from birth to three years of age, although it does continue through age six. When children are under the influence of the sensitive period for order, we see their intense interest in the order of things, both in routines (time, order of events in day, etc.) and in their environment. Young children can show great distress if this order changes. 

As adults, we can appreciate that order makes our lives easier; planning our meals and picking out clothes ahead of time makes our week flow more smoothly. Organization and order are a convenience and make us more efficient. But young children need orderly environments in a different way. The order in their surroundings or routines becomes the basis for their relationship with the world. If that foundation of order is changing all the time, it’s like trying to build a house on a shifting foundation. Lots of changes in the environment or schedule cause children to have to constantly adapt, which diverts their energy away from other necessary forms of their development. When children have a predictable and ordered environment, they feel secure, trust their environment, and establish an internal order.

Sensitive Period for Language

Children are effortlessly absorbing language from birth. The first three years of life are focused on the development of spoken language and the last three years are focused on the expansion and refinement of language, including writing and reading. During this sensitive period, children are learning the intricacies of the language spoken around them. They hear sounds and begin to try to imitate them. They hear the rhythm of phrases and sentences. They begin to internalize the nuances of grammar. 

Because children are absorbing all aspects of language, they need rich language experiences. Thus, we want to provide lots and lots of vocabulary by naming real things in the environment and engaging in meaningful conversation, even with our infants!

Sensitive Period for Refinement of the Senses

Young children are learning about their world through sensory experiences. The sensitive period for refinement of sensory perceptions starts at birth and begins to fade around four and a half.

This sensitive period does not make children’s eyes see better, ears hear better, or tongue taste better, but it does help children distinguish between finer and finer differences. Children who have access to sensorially rich environments can begin to refine their senses, have clearer perceptions, and be able to organize and classify their impressions. Neurologically, this sensitive period is when children are creating neural networks that help them interpret their environment through visual, auditory, olfactory, gustatory, and tactile perceptions. An enriched experience gives children the opportunity to develop powers of sensory discrimination, like perfect pitch, that will last throughout a lifetime.

Sensitive Period for Movement

Movement is how children come into contact with their environment, express their developing personality, and develop their independence. So much movement development happens from birth, and then, from about ages two and a half to four, children focus on refining their movements.

Children in this sensitive period benefit from having their movements directed toward some purposeful aim. For example, children want to imitate and participate in daily life, like cooking and preparing food. As parents, we often give our children play kitchens. With no other options, children will play with the pretend kitchen for a while, but this doesn’t satisfy them for long. They are much happier preparing real food for themselves and those around them. Meaningful activity, like food preparation, helps children refine their movement, adapt to their culture, and contribute to their community in a purposeful way. 

Power & Potential

Although “sensitive periods” refer to the particular times when children are most open to developing a particular skill or trait, the name is a profound reminder. We need to be sensitive–treading mindfully and with great care–to the power and potential of these periods of development. 

During the sensitive periods, children develop the skills and characteristics of order, language, refinement of the senses, and development and refinement of movement without apparent effort. Once the sensitive periods have faded, children can still achieve and develop certain characteristics, but they have to do so using work and effort. Plus, the skill or characteristic isn’t as fully integrated and absorbed. Think about how hard it is to learn a second language as an adult! 

Most delightfully, when children are in a sensitive period and their needs are met, they experience deep inner joy and a sense of satisfaction. We invite you to schedule a tour so you can see this joy and satisfaction in action! 

Shifting from “Stuff” to the Spirit of the Season

All too often the holiday season becomes about “stuff”–presents, decorations, more presents. How do we wean our children away from their focus on getting gifts and instead shift attention to the spirit of togetherness, generosity, peace, and goodwill?

It can be helpful to hold a family meeting and talk about everyone’s feelings about the holidays. We can ask our children about what, besides the gifts, they really like about the holidays. Often memories start to emerge: making gingerbread cookies with Grandma, taking a walk together as a family, ordering take-out Chinese and days-worth of leftovers.

From those memories, you can start brainstorming about what to establish as part of your family holiday tradition, perhaps even exploring new ways to enliven the winter season. Could a family hike followed by hot cocoa be a regular ritual? Coloring and cutting holiday-themed place settings? Decorating cookies to distribute as gifts?

In discussing the holiday, you can also introduce activities that involve giving and service to others. All sorts of studies detail the mental and physical health benefits of selfless service. The term “helper’s high” refers to the chemicals released in our brains when we engage in giving behaviors. Children can be very intrigued by learning about different charities, especially those that are local or important to their families. Part of the process of gift-giving can include choosing a charity and giving a gift in your child’s name or even having your child play a part in delivering the gift. 

Another approach is to focus on giving gifts that are really experiences: a trip to a museum, a weekend family adventure, certificates for favorite excursions, cash and a coupon for an outing to the arcade, a day trip with a friend to the trampoline park. Whatever the experience, the focus is giving the gift of doing something, and ideally doing something together, rather than owning an object. 

Brainstorming about the types of gifts or experiences we share with friends and family during the holiday season helps open our children up to the idea that gifts don’t have to be an item purchased at a store or online. As you explore this idea with your children, you can offer options such as:

• DYI/Handmade Gifts

• Care Packages

• Video Gifts/Electronic Messages

• Experiential Gifts

• Gifts of Quality Time

• Skill Sharing Gifts

• Donation & Support Gifts

• Food Gifts

Children can be involved in creating care packages or gift baskets, video collages or audio greetings that can be sent to grandparents, favorite dry goods recipes in mason jars, and coupons for activities or quality time.

We have enough things in our lives. Even if our youngest children aren’t quite ready to give up the idea of getting material presents, we can model both how gifts can take on many different forms and how we can bring more of ourselves to the holiday gift-giving experience.

Likely our children won’t remember a particular toy they unwrapped in 2022, but they will remember what they did with those they love and how they felt while doing it. Perhaps just planning a different kind of giving this year can bring less stress and more joy. What better gift than that?

Music the Montessori Way

Music. It helps us express ourselves. It expands our consciousness. It draws us together. Since ancient times, humans have relied upon music as a fundamental form of communication. Even today, we can see how children, from an early age, are drawn to music.

Always the scientist and observer, Dr. Maria Montessori recognized the essential place of music in children’s development. She collaborated with a number of musicians to develop a comprehensive music program to support children’s music appreciation and expression. The Montessori music program begins with sensorial experiences that build to children developing an acute awareness of pitch and rhythm. These experiences and activities then evolve into children learning the construction of musical scales and even perfecting how to write, read, and compose music. These components ultimately support children and adolescents’ abilities to use music as a form of self-expression. 

Early Experiences

From our earliest moments of life, we absorb the sounds of our environment. A fetus hears the rhythm of the mother’s heartbeat, breathing, and body systems. Expecting parents may sing or tell a story and their unborn child takes in the patterning and intonations of their voices. Newborns use these sounds as a way to have points of reference while orienting to life outside of the womb.

When working with infants and toddlers, we slow down so as to observe and listen to sounds and movements in nature. Hearing and relating to the natural music around us helps us be better attuned to the music in everything. As adults, we model this reflective pace, especially in our fast-paced society.

In the process of learning through imitation, our youngest children try to mimic sounds, first by copying movements with their mouths and later with their bodies. Thus, we model connection to music and openness to learning and experiencing musical expression, both in the traditional sense and through experiences in nature. Because music moves us emotionally and calls forth varied feelings, we also show how to express these emotions by moving our bodies, dancing, and singing. Young children need to experience music so they can make it part of their human experience.

Musical instruments in our infant and toddler communities are often related to nature and the sounds of nature. We provide multiples of each instrument so that when singing songs together, everyone can have a rhythm stick, or other appropriate musical instruments, and keep the beat together. We offer different kinds of high-quality instruments because the sounds affect individuals in different ways. Like with any other material in a Montessori classroom, the adults present the appropriate use of each kind of instrument to the children.

When children get a little older and move into the Primary or Children’s House level, we offer four strands of music education: singing, rhythm, music appreciation, and music literacy.

Children’s House: Singing

Singing begins right away in the Children’s House! We are helping young children realize that their voice is an amazing instrument. We share and teach easy-to-learn songs, as well as model how to express a range of emotions through the musical experience of singing. Folk songs offer high-quality melodies and expressive lyrics, as well as topics that reflect real-world qualities and real-life experiences–from celebrations and holidays to the weather, geography, and just everyday life.

When we introduce songs in the Children’s House, we first sing without any accompaniment so that the children learn how to find the right pitch. Once the children know a song very well, we may complement the singing with a piano, guitar, dulcimer, or the classroom bells.

Children’s House: Rhythm

Young children are so adept at rhythm. From the very beginning, life inside the womb was a rhythmic wonderland, with the symphony of the mother’s heartbeat, digestion, and respiration. Continuing throughout their lives, children experience rhythm all around them. We support the development and refinement of rhythm through activities that involve walking, running, marching, and skipping on an ellipse on the classroom floor, as well as through percussive instruments and music with distinctive rhythmic patterns. We may introduce hand and foot movements during songs, as well as the use of rhythm instruments. Some children also begin rhythm notation while in the Children’s House.

Children’s House: Music Appreciation

Through recorded music selections, we offer the history and culture of different kinds of musical expression in the human experience. When introducing a new piece, we give its name, the name of the composer, and the type of music it represents. These lessons are correlated to what the child knows in history, geography, art, and current events. When musicians visit to play an instrument for the children, we expand the experience with related vocabulary, stories, and listening opportunities.

Children’s House: Music Literacy

Although most settings don’t introduce music literacy to young children, we offer it as we do writing–as a means for sounds to be saved and held. While improvised work is lost into the air, writing down notes saves the idea and allows the possibility of communicating without face-to-face contact.

In the Children’s House, the bells become the children’s second instrument. We begin music literacy as soon as children can pair the bells of the diatonic scale and when they show an interest in the names of the pitches.

To introduce music literacy skills, we isolate two difficulties: notation for melody and notation for pitch. These two pathways start separately in the Children’s House but are joined in the Montessori elementary program.

In addition to working with the tone bars to dive deeply into music notation, scales, and composition, children at the elementary level continue experiences with listening, music history and literature, playing instruments, singing, movement, and rhythm.

Elementary: Rhythm

In elementary, children start with a sensorial experience of four-beat measure patterns, and we soon introduce the notation for these four-beat patterns. Children begin to be able to read rhythmic patterns for familiar names (of people and items), which also prepares them for an understanding of syllabification. Through this work, they begin to be able to notate patterns that they hear and to find notation patterns in printed music. They also get to experience finding words that will fit different rhythmic patterns and can practice notating the rhythm of spoken words.

Elementary: Playing Instruments

We first use games to introduce elementary children to various instruments and then support them in using instruments to accompany class songs. As their expertise grows and they are able to maintain a steady beat, students may form a small band and can even learn how to have a conductor!  

Whenever possible, we support children in seeing and hearing real orchestral instruments, including the music and instruments of other cultures. As children listen to individual instruments and combinations of instruments, they learn to differentiate between different qualities of sound that instruments create.

Elementary: Listening

We approach the art and skill of listening very deliberately. The adults set an example by listening to children and by speaking quietly and in clear sentences with precise pronunciation. Even in the elementary, we play listening games–from investigating how our bodies make noise, to taking listening walks, to enjoying mystery sound games, to exploring the absence of sound–all of which provide opportunities to focus on listening skills. The children also relish opportunities to listen to recorded music, both independently and as a group, and to be able to discuss what they heard.

Elementary: Tone Bars

The tone bars are elementary students’ primary musical instrument. Children in the elementary can often be found composing and playing on the tone bars and as they experiment with sounds and the relationships of the tone bars, they are essentially in the babbling stage of language development. With extended exposure and practice, this “babbling” can evolve into children being able to pick up tunes by ear.

Eventually, elementary students use the tone bars for learning major and minor scales, whole steps and half steps, transposition, the musical staff, music notation, composition, pitch dictation, degrees of the scale, intervals, sharps and flats, and key signatures.

Montessori Music Program

Montessori music begins sensorially, isolates difficulty, and engages children in spontaneous activity and meaningful self-expression. The Montessori music program is constructed so that the keys to music can be presented as a language of communication. We consider music to be an element of total literacy and thus give music as much emphasis as we give to mathematics and language as essential tools of communication. As a result, as children move toward adulthood, they are able to use musical expression as a way to better understand themselves and the world around them.

We invite you to come to visit our school to see (and hear) how music comes alive in our classrooms!