Tag Archives: Montessori Short Hills NJ

Understanding Montessori Math

by Arati Joshi, Early Childhood Head Teacher

“Children display a universal love of mathematics,
which is par excellence the science of precision, order, and intelligence.”
~ Maria Montessori

Dr. Maria Montessori, the founder of the Montessori Method of Education, believed that a child is born with a “mathematical mind”. From birth, children grow up surrounded by numbers and various mathematical concepts, such as classifying, comparing, sorting, ordering, and patterning. The Montessori approach recognizes this and builds upon the natural development by providing structured, hands-on activities that enhance early learning experiences.

Sensorial Exercises: Opening the Door to Mathematical Thinking
The Mathematics and Sensorial Areas of a Montessori Prepared Environment are deeply interconnected and complement each other. Sensorial materials prepare children to work in Math because of their innate sequence, order, and progression. For example, the Pink Tower, Brown Stair, Red Rods, and Knobbed Cylinders allow children to compare and order objects bases on size and dimension. The Sensorial materials indirectly empower children to physically manipulate objects and develop an intuitive sense of quantity and an understanding of the “base-ten” system. 

Red Rods

Numeration 1 to 10
The introduction of quantity and numeration from 1 to 10 begins when the child is introduced to concrete, hands-on materials such as the Red and Blue Number Rods, Sandpaper Numbers, and Spindle Box(es). As children get to hold the quantities in their hands and trace the numbers on Sandpaper Numbers, the definite concept is committed to memory. Through multi-sensory experiences, children build confidence in their ability to understand and work with numbers, setting the stage for further mathematical learning and exploration.

Decimal System
A strong understanding of numbers from 0 to 10 lays a solid foundation for learning place values of the Decimal System. Children learn that 0 can give a greater value to a number, and they also learn the names of different categories of the Decimal System (i.e., Units, Tens, Hundreds, Thousands). 

Through hands-on exploration and working with the Golden Bead Material and the Ten and Teen Boards, children gain a deep understanding of how the number system works, from units to thousands and beyond.

Group Operations
In Montessori Early Childhood classrooms, children typically begin their exploration of group operations after they have built a strong foundation in numeracy and place value. These operations include addition, subtraction, multiplication, and division. The Montessori Golden Bead Material provides the children a concrete representation and a strong conceptual understanding of arithmetic operations before transitioning them to more abstract representations. By emphasizing exploration, discovery, and manipulation, the Montessori group operation activities foster a love for learning and empower children from a young age to become confident and capable mathematicians.  

Bead Chains
The Short and Long Bead Chains used in Montessori classrooms introduce children to linear counting and skip counting. Children use these chains to practice skip counting by twos, threes, and so on, up to tens. This strengthens their number sense and prepares them for later activities in multiplication, squaring, and cubing.

Concrete to Abstract
Maria Montessori believed that “what the hand does, the mind remembers”. The Montessori Method recognizes that young children learn best when directly engaging with concrete material to make concepts real and easily internalized. Keeping that in mind, much of the Montessori curriculum is based on giving children exposure to concrete materials first, and then giving them incremental opportunities to work on more abstract concepts. As the child gains mastery over a material used, he or she is able to work independently.

A Lifelong Love for Math
The Montessori Method is renowned for its holistic approach to education and goes beyond teaching skills. This approach is particularly effective in the realm of mathematics, as it instills a lifelong love for the subject. By creating a positive and engaging experience through hands-on learning, children develop a deep appreciation for the beauty and relevance of mathematics that will stay with them throughout their lives!

Child’s Play: Why the Materials in Montessori Classrooms Are Not Called ‘Toys’

“What a beautiful classroom with such beautiful toys!” a visitor exclaimed when she entered a Montessori classroom for the first time. Her guide, the school’s Director, smiled and quickly replied, “Yes, the prepared environment is beautiful, isn’t it? The materials in the classroom were developed with very specific intentions, and if you look carefully, you’ll see that they aren’t quite ‘toys’.” The Director then led the visitor to a chair where she could sit quietly and observe the class in action. At the end of her visit, the guest met with the Director and commented, “You were right. Those beautiful materials are not toys, are they? They are wonderful learning tools!”

This experience is very common. Visitors to Montessori schools quickly come to realize that the children in the classrooms are working purposefully with very special materials that have been carefully arranged in the environment just for them. As it should be, the materials are beautiful and inviting, and they entice the children and provide them with an opportunity to experiment and explore. However, they are not toys, as we know toys to be from what we see on television and the mad marketing aimed at children by the media. Instead, the materials in Montessori classrooms have a purpose much deeper than just to amuse the children. The items set out in the classroom draw the children to them, and the materials help the children develop various sets of skills as the children engage with them.

This is part of the magic of the Montessori materials. Children are drawn to them. They learn so much and gain many skills by interacting with them, all the while finding meaningful enjoyment in the activities. To begin, let’s look at the items found in the Practical Life area of the classroom. They are child-sized versions of items children might find around the house for cooking, cleaning, and attending to daily tasks. However, the children find these fascinating! They love learning how to pour liquids from one container to another, and as they are learning this skill, they also have fun learning how to clean up spills with a sponge or a mop. They find joy in washing dishes! Unbelievably, the children delight in folding laundry! Part of the intrigue is that these are the very things they witness adults doing all around them. Imagine how proud 3- or 4-year-olds are when they can offer to help with these chores and show an adult that, indeed, they can complete the tasks! Children gain confidence and experience a feeling of importance when they see they can make a positive contribution to family life. So much is gained from learning these daily life skills—so much more than just the skill itself, and all because the children have appropriate items carefully set out for them to explore! Not many toys offer this type of benefit, and yet, the children are having fun in completing these tasks with the materials.

During your child’s birthday or special holiday, how many times have you found that the wrapping paper, bows, and boxes have been more appealing to your child than the gift that was wrapped? It’s a common complaint that parents share. Dr. Montessori in The Absorbent Mind said “[the child] is not quiet with his toys…. for more than a few minutes. The real trouble is that children have no real interest in these things, because there is no reality in them.” While every December we see shows dedicated to the “10 Hottest Toys for Tots” and advertisements warning us to “get it before it’s sold out!” we should remember those adult complaints about the packaging being more appealing than the toy itself. Dr. Montessori was spot on in her observation of children. They prefer spending time with things that have meaning or purpose. These types of activities draw the child’s focus, and he or she will use them over and over again, not toss them aside as children often do with toys. With this self-directed repetition, the children begin building concentration while at the same time experiencing joy in working with the materials. Not many toys could make that claim.

Throughout the Montessori classroom, children explore the materials that not only teach a specific skill (such as pencil grip, pattern recognition, counting, or word identification), but that also teach concentration, manual dexterity, problem-solving and much more. In addition to being multifaceted in its purpose, each material in the classroom also provides a way for the child to know whether or not he or she completed the task correctly. As Dr. Montessori noted, “The control of error through the materials makes the child use his reason, critical faculty, and his ever increasing capacity for drawing distinctions. In this way, a child’s mind is conditioned to correct his errors even when they are not apparent to the sense.” The genius of Montessori is that children very naturally learn from the materials, and the children see this as time spent on joyful activities! Toys, in general, do not offer this to children. This is why toys are often cast aside, while children can be found working with Montessori materials for long, extended periods of time.

While the materials in the classroom are often referred to as ‘work’, the ‘work’ provides the children with the opportunity to do things that they are very interested in doing and to explore their world. Montessori recognized that children thrive in a prepared environment with inviting materials that are arranged in a special order from the more simple to the more advanced. Children happily progress as they are ready and as their interest leads them from one activity to another. Because there is only one of each item in the classroom, the children must learn to wait for their turn to use something when it is available. By comparison, many homes are overflowing with toys that aren’t necessarily organized or accessible to the child—baskets or bins of toys must be emptied to find the one at the bottom, and often, the toys are a muddled mess. The wonder of the Montessori classroom is that it is carefully prepared and arranged, and children thrive in this predictable environment where they know exactly where to find what they are looking for. In Montessori classrooms, it is rare to find a child with nothing to do, and nearly impossible to hear the words ‘I’m bored’. Children, surrounded by toys in their homes, often make these complaints, much to their parents’ dismay!

We learned from Dr. Montessori that if we “Follow the child, the child will show you what they need to do, what they need to develop in themselves and what area they need to be challenged in. The aim of the children who persevere in their work with an object is certainly not to “learn”; they are drawn to it by the needs of their inner life, which must be recognized and developed by its means.” The needs of children are met in Montessori classrooms where there is a joy in the activity, as well as a productive buzz that radiates throughout the room. Children are engaged, learning, and having fun with the materials. Dr. Montessori seemed to find the perfect solution to engaging children in meaningful activity from even the youngest age. All without the need for a cluttered mess of toys anywhere in sight. Clearly, the Montessori materials have stood the test of time over the course of these 110 years. While the packaging that the materials come in may, indeed, be fun to play with, children in Montessori schools are rapt by the materials themselves, and these materials are a great gift to them, more than any over-advertised toy you could ever find!

Are you interested in learning more about the Montessori philosophy? Request more information from The Montessori Children’s Academy below:

MONTESSORI NJ

The Montessori Children's Academy

Sing for Peace!: International Day of Peace Celebration 2016

September 21st may not be a date you recognize, but around the world and in our Montessori community, we look forward to celebrating the International Day of Peace on this day.  Established by the United Nations in 1981, the International Day of Peace began as a way to promote a time for people worldwide to “honour a cessation of hostilities…and to otherwise commemorate the Day through education and public awareness on issues related to peace” ().

The Montessori Children's Academy

The UN’s theme for the International Day of Peace this year is “The Sustainable Development Goals: Building Blocks for Peace”.  Youth from around the world have been invited to share via YouTube their video messages of peace with ideas related to this year’s theme.  Solutions related to ending poverty and helping the environment are evident in the concerns of today’s youth.  The videos can be viewed on the United Nations Peace Day 2016 YouTube Channel, and they include brief messages from young people representing many different nations.

To do our part to celebrate this special occasion, The Montessori Children’s Academy (MCA) plans to take part in a variety of activities leading up to September 21st.  Each class will choose its own special way to celebrate.  Some will be reading books about peace, making peacemaker necklaces, or learning how to say ‘peace’ in different languages, while others will recite peace poems or decorate symbols of peace.  Then, on the big day, we will all participate in a worldwide event called Sing Peace Around the World.  The goal of the project organizers is to have the song “Light a Candle for Peace” sung continuously over a 24 hour time period all around the globe.  The singing will begin in New Zealand and end in Hawaii 24 hours later.  Our designated time to sing “Light a Candle for Peace” in Chatham, Morristown, and Short Hills is 9:30AM.  Please consider joining the endeavor–wherever you are at that time, take out the lyrics and sing along!  To date, nearly 90,000 children from around the world are registered to participate in this event, including all of our MCA students.  We hope the sounds of children singing for peace will echo across every land on every continent, and that it will reach into the hearts of all people in every corner of the world.

Of course, peace education and awareness is not something MCA recognizes only for one day or by singing just one song.  It is an important component of the Montessori curriculum and an integral part of each and every day in all of our schools.  Everything you find in a Montessori classroom has an intentional meaning and an underlying lesson and goal.  For example, the manner in which Montessori classrooms are prepared aim to promote the development of self-discipline.  The Montessori materials are designed to provide students with challenges that spark their critical thinking.  There are countless opportunities in Montessori classrooms for creative problem solving.  Montessori students are exposed to Cultural Studies, where they learn about people, places, and traditions from around the world, gaining a global awareness and appreciation for similarities and differences among people in all nations.  The focus on ‘grace and courtesy’, as well as the modeling of respect by the adults in the classroom, helps children to, in turn, learn to exhibit grace, courtesy, and respect.  These are all intentional features which are carefully woven into the fabric of Montessori education.  Dr. Montessori developed her method of education to teach not only academic subjects, but also to instill important values in children.  Montessori education is intended to help students learn how to work cooperatively and in harmony, to discover how to solve problems peacefully, and to find ways to promote peace in their interactions with others throughout their lives.

As Dr. Montessori said, “The child is capable of developing and giving us tangible proof of the possibility of a better humanity.  He has shown us the true process of construction of the human being.  We have seen children totally change as they acquire a love for things and as their sense of order, discipline, and self-control develops within them…. The child is both a hope and a promise for mankind” (Education and Peace).  Maria Montessori knew the importance of education for the greater good of the world, and she insisted on providing children with many opportunities to learn and internalize their roles as peacemakers through educational experiences, which encompassed not only academics, but the development of responsibility and character as well.  As she is well known to have stated, “Establishing lasting peace is the work of education; all politics can do is keep us out of war.”  Dr. Montessori was nominated three times for the Nobel Peace Prize, and her advocacy for peace has made a lasting impression.  We are proud to uphold her legacy for spreading peace throughout the world.

Below are the lyrics to “Light a Candle for Peace”.

The Montessori Children's Academy

Please feel free to share the song with others, and help us to promote peace in our schools, our neighborhoods, our towns, our nation, and all around the world.  We wish everyone a meaningful International Day of Peace!

Light a Candle for Peace
by Shelley Murley

Light a candle for peace
Light a candle for love
Light a candle that shines all the way around the world
Light a candle for me
Light a candle for you
That our wish for world peace
Will one day come true!
(repeat)

Sing peace around the world
Sing peace around the world
Sing peace around the world
Sing peace around the world

Light a candle for peace
Light a candle for love
Light a candle that shines all the way around the world
Light a candle for me
Light a candle for you
That our wish for world peace
Will one day come true!

Sing peace around the world
Sing peace around the world
Sing peace around the world
Sing peace around the world

For more information about Montessori peace education and other peace initiatives, as well as to find children’s books about peace, check out the resources listed below, some of which were used as references in this article:

Duckworth, C. (2008). Maria Montessori’s contribution to peace education. In Encyclopedia of Peace Education. http://www.tc.edu/centers/epe/
Montessori, Maria. (1992; first published 1949). Education and Peace (The Clio Montessori Series). Santa Barbara: ABC-CLIO.
Wolf, Aline D. (1996). Nurturing the Spirit: In Non-Sectarian Classrooms. Santa Rosa: Parent Child Press, Inc.
www.childpeacebooks.org
www.singpeacearoundtheworld.com
www.un.org/en/events/peaceday