Category Archives: Montessori Mathematics

School is Out, Summer is Here… but Learning (and Fun) Don’t Need to End!

by Camilla Nichols and Zachery Inkley,
with additional content by Tori Inkley

Along with welcoming Summer, we would like to provide some fun activities and ideas to help keep your children stimulated in a meaningful way. It’s important for them to remain in a state of learning and exploration even when they’re not attending school. One suggestion would be to arrange a small shelf in your home with activities that you can rotate throughout the summer. Set it up so that your children can independently choose the work they desire. The activities can represent the same areas found in our Prepared Environments at MCA: Practical Life, Sensorial, Language, Science, Math, Cultural, and Art. For more information on how to set up a Prepared Environment at home, visit https://themontessorichildrensacademy.com/blog/2016/06/13/maintaining-a-montessori-mindset-through-the-summer/ and visit https://www.forsmallhands.com/  and  https://livingmontessorinow.com for Montessori items and ideas.

No matter where the summer takes you, we encourage families to spend as much time as possible outside and in nature, as screen time is best saved as a treat for rainy days. New Jersey has so many beautiful parks and beaches for you and your little ones to enjoy. Take a hike through South Mountain Reservation or go see the Great Falls of Paterson! While exploring the outdoors, take time to set up Scavenger Hunts, or help your children craft their own Nature Journals. They can collect and learn about all the different beautiful flowers of our region or do leaf shadings to help fill up the pages of their journals. At home, you and your children could grow an herb, vegetable, or flower garden, or together you could research all the critters roaming in your own backyard! To learn more about animals from all over the globe, your family could take a trip to the Turtle Back Zoo in West Orange, or if your children are more curious about our aquatic friends, you could visit Jenkinson’s Aquarium while enjoying a day on the Point Pleasant boardwalk!

Most of our local libraries have Story Times for children. Taking your young ones to such events will help to inspire their imaginations and reinvigorate their passion for reading. We also encourage you to read with your children at home as often as possible, or maybe listen to audiobooks together while picnicking outside! We’ve included some links to books we recommend at the end of this post.

Finally, if possible, explore local museums and art festivals to stimulate your children’s imaginations and encourage their creative sides. Both Montclair and Morristown, as well as New York City, have excellent museums, and Montclair also has art festivals and live music concerts all summer long! If you really want to watch little eyes go wide, take your children to Liberty Science Center, where they can get a taste of almost everything this world has to offer. Right now, they have an incredible exhibit on the Blue Whale, a Touch Tunnel where children can learn how much we rely on our sense of touch, and a Globe IMAX Theater where you can take incredibly life-like trips through the farthest stretches of the universe and the greatest depths of the sea. We encourage you to embrace every opportunity to expand the young minds of your children and broaden their natural sense of wonder!

We hope all of our families have a lovely summer full of exploration and joy!

NJ Parks and Reservations:

NJ Zoos and Aquariums:

Museums and Creative Centers:

Classic Children’s Books:

  • Make Way for Ducklings by Robert McCloskey
  • Anatole by Eve Titus
  • Blueberries for Sal by Robert McCloskey
  • Max and the Tag-Along Moon by Floyd Cooper
  • Abuela by Arthur Dorros
  • Corduroy by Don Freeman
  • The Snowy Day by Ezra Jack Keats
  • The Story of Ferdinand by Munro Leaf
  • Millions of Cats by Wanda Gag
  • Owl Moon by Jane Yolen
  • The Very Hungry Caterpillar by Eric Carle
  • The Poky Little Puppy by Janette Sebring Lowrey
  • The Velveteen Rabbit by Margery Williams
  • Are You My Mother? by P.D. Eastman
  • Madeline by Ludwig Bemelmans

Arts and Crafts for Inside Days:

And for those rainy days, or possibly travel days, when you feel a little tech time is appropriate for your children, you may want to check out the app “Mobile Montessori” at https://www.mobilemontessori.org .

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!