Tag Archives: Chatham NJ preschool

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.

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!

The Montessori Children’s Academy Celebrates Montessori Education Week 2024

by Camilla Nichols, Senior Director of Montessori Development
and Tori Inkley, Executive Director

During the week of February 25 – March 2, 2024, several hundred students at The Montessori Children’s Academy (MCA), along with Montessori students from around the world, will celebrate Montessori Education Week! Montessori Education Week is an annual event that is celebrated around the world in honor of Dr. Maria Montessori and the legacy that she left behind. In 2007, the year Maria Montessori would have turned 100 years old, some of our MCA students celebrated with a cake that had 100 golden icing dots, representing the Golden Unit Beads from the Golden Bead Material. Students work with this actual material in the Math area when they are introduced to the Decimal System. In past years, parents and students have written about their most memorable Montessori experiences, which MCA has displayed in the hallways of our school. [A few are included at the end of this blog post.] And one year, our Elementary students even created a replica of the Montessori Pink Tower using the school’s 3D printer. Other highlights from past Montessori Education Weeks have included proclamations and/or visits by the Mayor of Morristown and the Deputy Mayor of Millburn, and one year, MCA was even recognized by the New Jersey Governor for the valuable role Montessori schools play in providing education to young people.

This year, one of the ways the children at the three MCA campuses (Chatham, Florham Park, and Short Hills) will commemorate this special week is by demonstrating Montessori Practical Life exercises to parents and visitors during school drop-off and pick-up. The children will also sing Montessori songs, study Italy, review the timeline of Dr. Maria Montessori’s life and work, and practice the Silence Game while thinking of peaceful things, much like Dr. Montessori did. Also, during the 2024 Montessori Education Week, current parents are invited to spend time observing their children working in the classrooms and noticing the pride they exhibit while demonstrating their growing independence in the Prepared Montessori Environment. This year, the grand finale of our Montessori Education Week celebration will be a pizza party, with pizza being supplied for all staff and students by Nonna’s Italian Restaurant in Florham Park.

In addition to the special “in-house” activities, each year, MCA students create artwork or other items that represent some of their favorite Montessori materials or work. These beautiful pieces are showcased in displays titled, “I Am a Montessori Child, and I Can Change the World” at the public libraries in Chatham, Florham Park, Livingston, and Millburn. During this week, posters and banners with decorate the local areas around and inside our schools, so that children, parents, and our local communities will observe that “Maria Montessori is all over town!”

Lastly, for the first time in our 25 year history, MCA has established an international relationship with a Montessori school in Malmö, Sweden. Our students are learning that children all around the world use the same types of Montessori materials as they do right here in their classrooms in New Jersey. During Montessori Education Week, the students in Sweden will sing “Light a Candle for Peace”, along with our MCA students, and students from both countries have been engaged in an “exchange program”. Across our three campuses, our students created items representing the United States that have now been shared with their Swedish counterparts, and the students from Sweden created items representing their country that are being shared with MCA students during this special week. MCA is thrilled with our newly established, international collaboration and is excited to offer our students the opportunity to gain a global awareness and broaden their horizons at such a young age.

The Montessori Children’s Academy is proud to be making a positive difference within our immediate communities, within our state, and around the world. We are grateful to everyone involved in celebrating this special week with us. No doubt we will all have memories that will last forever.

Some “Most Memorable Montessori Experiences” from MCA Alumni Parents:
“Our three-year-old son suddenly took control of his Daddy’s birthday celebration. Placing his flashlight on the floor and a world globe in his Father’s hands, he then proceeded to walk his Dad around the light singing, “The Earth goes around the Sun, the Earth goes around the Sun and daddy turns one… and so on, until through our tears of joy (having never seen the Birthday Walk before), we had to suggest he might not want to go all the way to thirty-something! We plan to adopt the Birthday Walk for all our family birthdays from now on. Thank you, Montessori! Every day is truly a memorable Montessori experience for him and for our family.”

“For a recent playdate, our friends brought a giant-sized bag of baby carrots to share. While the other kids ran off to play, Erin immediately asked to do some “cutting work” with the carrots. She carefully sliced about twenty carrots, and then she only ate from the bowl of carrots she cut herself.”

“Eddie remarked recently, “Mommy, I like learning in my class, it’s so peaceful there.” I answered, “Do you know what Peaceful means?” He replied, “Yes. It’s when we use our inside voice.”

“My most memorable Montessori experience with my daughter Alexandra was when I saw her interacting with my friend’s 1 ½-year-old daughter. Alexandra (5 years old) was gently and patiently explaining to the younger child how to open and close a container, as the girl listened intently. She was able to teach this new skill to the younger girl with patience and kindness, the same way that older students at MCA have taught her to do things.”

Preschool Profiles: MCA’s 2½ – 3½ Program

To ring in the new year at The Montessori Children’s Academy (MCA), we welcomed five new families to our 2½ – 3½ class at our Morristown campus. Despite their tender age, our seasoned MCA students gently welcomed these new friends, showing them around the classroom and modeling the manners and classroom guidelines that they have been learning and practicing since September.

The 2½ – 3½ Program at MCA is designed for curious toddlers. Their classroom provides a miniature version of a full 3-6 Montessori prepared environment. The tables, chairs, and shelves are scaled down for use by younger children and are just the right size for the students that use them! The majority of the lessons presented to students in this classroom focus on the Practical Life and Sensorial curriculum areas, which Dr. Montessori considered to be the foundation for all of the traditional, academic subject areas.

This post will give you a peek into one of MCA’s 2½ – 3½ classrooms. To enter the 2½ class, students must be 30 months old by September or January, depending upon campus availability. This program is available at all three of MCA’s campuses, in Chatham, Morristown, and Short Hills.

A Day in the Life of a 2½-Year-Old at MCA

Structure of the day

As in a typical Montessori primary classroom, the school day is organized around the “work cycle”. A work cycle is characterized by children using classroom materials independently and/or receiving individual or small group lessons from a teacher. The work cycle is completed after the children have had ample time to explore the environment and work meaningfully with the materials. When all materials are put away on the shelves, the work cycle ends, and it is usually followed by free playtime on the playground. The work cycle in the 2½ – 3½ classroom is shorter than that in the 3-6-year-old classroom. Typically, the 2½-year-olds work for 1 to 1½ hours, depending on their abilities and the larger school schedule.

Materials used

During the work cycle in a 2½ – 3½ Montessori classroom, you will observe children working with traditional Montessori materials and participating in many developmentally appropriate activities. In the Practical Life area of the classroom, you might find children learning how to button, zip, and snap by using the Montessori Dressing Boards. Or, they might be practicing setting a table or preparing themselves snack. In the Sensorial area, children are busy using the Montessori Knobbed Cylinders, Sound Cylinders, and Color Tablets, just to give a few examples.

Basic Montessori Mathematics and Language materials, like Spindle Boxes and Sandpaper Letters and Numbers, are also a staple of the 2½ classroom. As children master the materials available in the Practical Life and Sensorial areas, they progress into exploration of the more traditional academic subject areas. New materials are added as skills are gained, and the work changes and grows with the students.

Skills learned

Important non-academic skills are gleaned through the children’s work in the 2½ – 3½ Montessori classroom. Toddlers exposed to this unique environment gain skills in the following areas of early childhood development:

Care of the Self: Through Practical Life lessons like hand washing and the Dressing Boards, our smallest students gain the skills they need to conduct important everyday activities independently. Lessons that involve self-care are wonderful confidence boosters.
Fine and Gross Motor Development: Motor development is a consistent, yet subconscious, focus of the lessons in the 2½ program. Children use their gross motor skills as they learn to control their movement both inside the classroom and out on the playground. They develop fine motor skills as they use their small muscles in every Practical Life exercise, from transferring items using spoons or tongs to practicing pouring wet or dry contents from one pitcher to another.
Socialization: Most children in the 2½ program are first-time students. Therefore, they are learning for the first time how to appropriately interact with peers, teachers, and the environment. In MCA’s 2½ – 3½ classrooms, there is an emphasis placed on everyday manners, taking turns, and caring for the classroom materials.
Speech and Language: Closely tied to social development, our younger students gain confidence in expressing themselves verbally through interactions with their peers and their teachers. Grace and Courtesy lessons help the children practice new language while at the same time engaging in positive social interactions.

The “Big 3”: FAQs from Parents of 2½-Year-Olds

Is my 2½-year-old ready for school?

This is the most common question that our teachers receive from prospective parents, but it isn’t one that they can easily answer. “Readiness” can mean different things to different people. However, one of MCA’s seasoned 2½ teachers notes that most children really are ready to enter her classroom at the age of 2½. She has found over the years that children are ready and excited to learn important skills like sharing with others, cleaning up after oneself, and exploring their interests in a child-safe environment. Ultimately, it is the parents’ intuition and knowledge of their children that best makes this decision.

Does my child have to be toilet trained to start in the 2½ class?

Your child does not have to be toilet trained to start in the 2½ – 3½ class. Toilet training is a component of the 2½ program in that teachers support the home-based efforts of their classroom parents during the school day.

How do we get into a school routine if this is our first school experience?

Preparing for preschool is crucial, especially for the members of the 2 ½ – 3 ½ class. MCA teachers have found that adjusting home routines like bedtimes and mealtimes in the weeks ahead of the school year is an important first step. The 2½ – 3½ Program also involves a “Phase In” period designed to alleviate separation anxiety and help your child gradually adjust to life in a classroom setting.

“Preschool is Empowering”

Shahrooz Aziminia, the 2½-3 ½ class’s Head Teacher at MCA in Morristown, described the importance of joining a preschool class. “Children want independence,” she said. Children are naturally curious and should have a guide to safely and correctly model both the use of classroom materials and interpersonal interactions. A Montessori classroom provides a safe, prepared environment, and a Montessori-trained Head Teacher provides the proper balance of supervision necessary to allow children to satisfy their inner curiosities. This satisfaction of curiosity, the freedom to learn by doing, is the essence of the Montessori Method.

In a Montessori environment, and in the 2½ – 3½ classroom in particular, children are able to take charge of daily activities. Children learn to serve themselves snack, to put on their coats, and to choose the work they would like to do and put it away. Parents are always amazed to see how much their children can and want to do. The Montessori classroom offers the very activities that inspire independence and empower children to continue to explore their unique capabilities. This setting promotes children’s success as independent, motivated learners and provides significant benefits to Montessori students in the increasingly academic environments that follow.

The Prepared Environment

Be prepared! This is the motto for scouting organizations worldwide. Maria Montessori would have a said “Si Preparato!” in her native Italian tongue. And this is the message that Dr. Montessori shared with educators as she created her Casa di Bambini for the children she first taught. Providing a carefully prepared environment, in addition to well-prepared teachers, is the tradition Montessori schools uphold today and remains one of the essential elements that makes this method of education successful for the millions of Montessori students worldwide.

Dr. Montessori believed that the school environment best served children if it was welcoming and felt like a home. Casa di Bambini literally translates to ‘house for children’, and her school was designed with the needs of the children at the forefront. In his biography of Dr. Montessori, Maria Montessori: Her Life and Work, E. M. Standing tells us that “…realizing the peculiarly absorbent nature of the child’s mind, she has prepared for him a special environment; and, then, placing the child within it, has given him the freedom to live in it, absorbing what he finds there” (p.265). The environment provides the framework that allows the children’s curiosity, confidence, and spontaneous learning to unfold. It is central to Montessori education, and the environment is the first thing which makes an impact not only on Montessori students, but on visitors to Montessori schools, as well.

Walking into a classroom at The Montessori Children’s Academy (MCA), the first comment from guests touring the school is often to say how beautiful it is. It is a carefully prepared, beautiful, organized environment filled with an abundance of the highest quality Montessori materials. The natural wooden shelves display an array of neatly arranged, attractive materials. The shelves and materials are organized by area of study, including Math, Cultural Subjects, Language, Sensorial, and Practical Life. The child-sized furniture is carefully placed to promote both independent work spaces, as well as places where children may sit together to work and socialize. There is a cozy place to read, a well-lit area to create artwork at an easel, and plenty of opportunity for controlled movement throughout the room.

Every component of the Montessori classroom has a purpose. The unique materials created by Dr. Montessori grow with the children through various stages of development, as the children are ready to proceed. The classroom and materials are organized carefully and in sequential order, providing another aspect to the children’s development and learning. Materials of advancing degrees are placed left to right and top to bottom, just as we read text from left to right and top to bottom. Children are taught from the start where each particular material belongs, and they learn to return each item to its proper place after they are finished using it. This keeps things predictable for the children, and they know where to go to find what they need very quickly.

The environment and the materials within it provide the children with choices, and they allow the children to experiment and to learn with their special ‘control of error’. If a child doesn’t carry the material carefully from the shelf to the table or workspace on the floor, it may spill. There is no punishment involved in that—instead the child learns how to clean it up and put it back in order. Similarly, Dr. Montessori’s materials are created as ‘self-correcting’. The child will easily see whether or not he or she has used them in an appropriate fashion, and the child will learn inherently from his or her mistakes. This is incredibly careful preparation, and it allows children to take on challenges without feeling fear of failure. Instead, the environment promotes positive risk-taking and fosters innate encouragement for the child to succeed through his or her repeated experiences with the materials.

In addition to the academic materials, careful consideration is taken in placing furniture, decorations, and other components of the classroom. Montessori classrooms allow children to work at tables or on the floor. The furniture and shelves are arranged with purpose to allow children to navigate their way around the classroom and to practice “grace and courtesy” and self-control. Artwork is placed at the children’s eye-level, not the adults, because after all, the classroom is for the children. Generally, the artwork displayed is that of well-known artists, and it reflects the best examples of a variety of types of art or enhances a current class study of a particular artist. Living plants not only bring elements of nature into the classroom, but they also provide the children with the opportunity to learn responsibility for their care. Montessori classrooms usually contain a Peace Table (or Peace Area) where children may sit and meditate over natural objects, forming designs in a sand tray, building a small tower with smooth stones, or looking at symbols of peace, such as a wooden carving of a dove.

This beautiful, carefully prepared environment is an outward, physical example of the beautiful, carefully prepared education Montessori students receive. Montessori teachers prepare their classrooms with the knowledge that children respond to beauty and order. Of course, the final element to the prepared environment is the prepared Montessori teacher or guide who has created this place where children can feel at home, feel secure in taking risks, feel challenged, and are excited about learning each and every day.

In her book Education and Peace, Dr. Montessori said, “There is a constant interaction between the individual and the environment. The use of things shapes man, and man shapes things. This reciprocal sharing is a manifestation of man’s love for his surroundings. Harmonious interaction – when it exists, as in the child, represents the normal relationship that should exist between the individual and his surroundings. And this relationship is one of love.” (p.57) At the Montessori Children’s Academy, the teachers and children all share in a deep love of learning as they continue their Montessori journey together each day, prepared for a variety of daily adventures in their beautifully, carefully prepared Montessori environment.