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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!

Practical Life for Life: How Montessori Students Learn to Care for Themselves and the World Around Them

by Jacqueline Pisciotto, Early Childhood Head Teacher
and Becky Weaver, Early Childhood Head Teacher

“It is interesting to notice that where life is simple and natural and where the children participate in the adult’s life, they are calm and happy.” ~ Maria Montessori

“So, my daughter said she has been cleaning a mirror?”
It is not uncommon for a Montessori Directress to hear a parent, especially one new to the Montessori philosophy, express surprise that their child is cleaning a mirror during the day, and wants to do it again and again! Maria Montessori recognized that children are naturally drawn to meaningful work that satisfies their needs during various sensitive periods of development. Practical Life activities are crafted to foster movement, concentration, coordination, independence, order, and the development of both gross and fine motor skills. The Directress (or Head Teacher) thoughtfully arranges these materials to captivate the children’s interest, aligning with their sensitive periods. Maria Montessori observed such a profound attraction to Practical Life activities among the children that this component remained unchanged across the evolution of her educational model. Maria Montessori said, “We begin the day with a series of exercises of practical life, and I must confess that these exercises were the only part of the program which proved thoroughly stationary. These exercises were such a success that they formed the beginning of the day in all of the ‘Children’s Houses’. First: Cleanliness. Order. Poise. Conversation.” (The Montessori Method, originally published in 1912.)

If you have ever wondered about the Practical Life area of the Montessori Classroom… Let’s take a look!

Control of Movement (sometimes referred to as Dexterity) work in the Montessori Practical Life area, is vital for the development of the child. It embodies Maria Montessori’s principle of “helping the child to help himself”. The Prepared Environment, which includes work that incorporates real, child-sized materials, has the child engaged in activities such as spooning, pouring, sorting, or tweezing, in order to sharpen fine motor skills and enhance hand-eye coordination. This work serves as a precursor for academic skills like writing and mathematical operations. This focused work also cultivates concentration, independence, and a sense of order.

The Care of Self component of the Practical Life area plays an important role in fostering independence and self-esteem in young learners. Maria Montessori emphasized education as an aid to life. Through engaging with materials such as the Dressing Frames to learn how to button, zip, snap, buckle, and lace, or learning how to put on a coat without assistance, children refine their gross and fine motor skills. This aspect of Practical Life connects the development of physical coordination with the cultivation of independence. Care of Self tasks are designed to foster not only dexterity, but also lay the foundation for lifelong self-care and independence.

The Care of Environment work in the Montessori classroom is central to a child growing a sense of responsibility, respect, and connection with the classroom, the community, and the world. This component encourages children to engage in activities such as cleaning, food preparation, plant growing, and taking care of animals. By participating in the care of their immediate surroundings, children develop a sense of belonging and an appreciation for the interconnectedness of all living things.

Grace and Courtesy work in the Montessori Practical Life area is a key component to the development of social harmony and respect within the classroom community, which then extends to the children’s lives outside of the classroom. These lessons, which include practices like greeting others, saying “please” and “thank you”, and learning how to interrupt politely, are fundamental in cultivating an environment of mutual respect and empathy. Such activities not only reinforce positive social behaviors but also help children develop emotional intelligence and interpersonal skills. Through Grace and Courtesy, Montessori students learn the importance of kindness, cooperation, and respect for others, laying the groundwork for becoming thoughtful and considerate members of society.

Children in a Montessori classroom are drawn to Practical Life work again and again!

The work is foundational for developing a child’s sense of independence, responsibility, and self-discipline. It helps children connect to their inner needs, as well as the greater classroom community and world around them. By engaging in tasks that range from self-care to care of the environment, children enhance their motor skills, concentration, and independence while laying a foundation for lifelong learning.

“These children reveal to us the most vital need of their development, saying:
‘Help me to do it alone!’” ~ Maria Montessori

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.”

A Montessori Journey for Adults: Educating the Educators

by Doreen Adamo, Program Director of Montessori Center for Teacher Development

“The real preparation for education is a study of one’s self.
The training of the teacher who is to help life is something far more
than the learning of ideas. It includes the training of character;
it is a preparation of the spirit.”
~ Dr. Maria Montessori

Montessori teachers are a special breed of teachers. Their method of teaching differs significantly from a traditional teaching method because Montessori teachers place much more emphasis on the children’s natural interests and abilities. Their role is to observe and respond with appropriate individualized guidance and instruction. The students discover information for themselves using specially prepared materials. It is believed that children who are at liberty to choose their work freely in a specially prepared environment develop a true love of learning.

The Montessori Children’s Academy (MCA) proudly boasts its own MACTE-accredited, AMS-affiliated Teacher Education Program – Montessori Center for Teacher Development (MCTD). Since the program’s inception in 2014, MCTD has trained and assisted in the certification of many Adult Learners at an Early Childhood level. Through meaningful experiences in a respectful and inspirational learning environment, adults are entrusted to uphold Montessori traditions in their endeavor to become the best Montessori teachers that they can be.

MCTD is designed to support Adult Learners through each segment of its 2-year training program. The curriculum is comprised of three components: Academic Phase I (a four-week summer intensive phase), Academic Phase II (which meets on designated weekends, during the regular academic year), and the Practicum Phase (the internship/student teaching year). During the Academic Phases, the Adult Learners meet in the training classroom, where they attend academic lectures and practice with hands-on materials. The training classroom is fully equipped with AMS-approved and required materials with which the Adult Learner can practice. During the Practicum Phase, the Interns work in a classroom and receive mentorship and guidance from an experienced certified Montessori Supervising Teacher and are monitored by an MCTD Field Consultant. The training culminates in the candidate receiving an Early Childhood Montessori Certification to teach children ages 2 ½ through 6 years.

MCTD aims to provide meaningful learning experiences to all Adult Learners and offers opportunities for exploration and active participation throughout the training program. Preparing and empowering Adult Learners to become exceptional, effective Montessori educators while attending to the unique needs of each Adult Learner are the primary goals of MCTD. Our Instructors are professionals with diverse backgrounds and a wide range of teaching experiences. However, they all have one thing in common; a great passion for the Montessori Method and a desire to prepare adults for a great Montessori experience.

“The MCTD program provides all of the guidance and support that is needed to be successful to Adult Learners who, like me, have no prior knowledge of the Montessori Method or experience in a Montessori classroom. In addition to growing in my understanding about Montessori, I have also changed and grown personally as well. While juggling my many responsibilities, I have been forced to become more organized, to procrastinate less, and to be more confident both in and out of the classroom. I had forgotten how much fun it is to learn, and the great thing about being a Montessori Teacher is that the teachers never stop learning along with their students! There have admittedly been many late nights writing papers and last-minute shopping trips to stores to find the materials needed for a lesson, but looking back, it was all worthwhile. I now know that I have found what I want to do during the next phase of my career, and I look forward to what the future holds.”
~ Diane Palazzi, EC Certified Teacher/MCTD Graduate

If you are interested in learning what MCTD has to offer, please email us at MC4TD@aol.com, call 973-539-0196, or visit our website at www.montessoricenterforteacherdevelopment.com for more information.

At MCTD, we Empower Adult Learners to Empower Children.

The Absorbent Mind: Supporting MCA’s Youngest Learners

by Bernadette Fasolas, Director of Hiring and Montessori Education
and Tori Inkley, Executive Director

“Absorbent Mind” is a term coined by Dr. Maria Montessori to describe the natural absorption of information by a child from birth through the age of 6 years. A child in this age range has been described as being “like a sponge”. Montessori observed many children throughout her lifetime and noted how they gained a significant amount of their knowledge through watching others, not necessarily from being “taught”. This was found to be particularly true for children under the age of 3 years. During early childhood, children absorb information by observing, by experimenting, and by simply being part of a community. Likewise, they expand their vocabulary and gain language skills from listening to and interacting with other children and adults.

The Montessori Children’s Academy (MCA), like most Montessori schools, offers programs for children ages 2 ½ through 6 years. Understanding just how valuable the early childhood years are, MCA has also designed a special program for children from 18 to 30 months of age. Montessori, My Child, & Me (MMC&M) was developed so that children in this age range could experience a Montessori Prepared Environment along with their caregivers. In the classroom, these children observe and work at their own pace while developing independence, strengthening concentration skills, and learning to maintain order. Maria Montessori believed these particular qualities were especially important for children to learn and to flourish. In the Prepared Environment, children become engaged in “work” that allows them to gain pride in self, further motivating their desire to learn. This is in contrast to “traditional” methods of education, where children are frequently working for rewards.

In the MMC&M classroom, children become engaged with specially designed, self-correcting materials that allow them to learn through trial and error. At this young age, it is especially important for children to see how things work and to be allowed to move their growing bodies about the classroom. Dr. Montessori felt strongly that children learn through their senses – touch, smell, sound, taste, and sight. In our MMC&M program, children have the opportunity to observe their surroundings, experience a Montessori classroom and its materials, and absorb information using all their senses. Self-direction in the classroom and participating at one’s own developmentally appropriate pace were also strong beliefs of Maria Montessori’s, as children hit specific “sensitive periods” or “windows of opportunity” in their own time.

The MMC&M program at The Montessori Children’s Academy aims to introduce both the children and their caregivers to the Montessori Method of education. The program runs for six weeks and classes are 1 hour and 15 minutes once a week. Sessions are offered in the fall, winter, and spring at our Chatham campus. While children are involved in lessons and working with materials, we also offer information on the Montessori Philosophy, as well as child development and parenting trends, for the caregivers.

At MCA, we are planting the seeds for a lifelong love of learning and MMC&M’s introduction to Montessori education is one of those seeds. Over the years, MCA has had the good fortune to support the education of many young children and then watch as they blossom into independent thinkers and motivated elementary, middle, high school, and college students. What an honor and pleasure this journey continues to be for all of us at The Montessori Children’s Academy!

“It was amazing to watch the development of my child over the six week MMC&M session. His first school experience, he started to understand the work, socialize with other children, and engage with the teacher, despite me being in the room. I would absolutely recommend this program to anyone considering a Montessori preschool education, as it familiarizes children with the environment and expectations of a Montessori classroom.” ~ Aly Lopian, MMC&M Parent

If you or anyone you know is interested in learning more about our MMC&M program, or any of our Early Childhood Programs, please contact Bernadette Fasolas at bfasolas@njmca.me (MMC&M) or Camilla Nichols at cnichols@njmca.me (Early Childhood).