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!