Materials Highlight: Geometry From the Start

Meagan Ledendecker • July 25, 2022

 When many of us think of our geometry education, we have thoughts of identifying shapes in kindergarten, and then taking a class or two in high school.

 

The truth is, children are fully capable, and enthusiastically prepared, to learn so much more at a much younger age. While we can’t possibly cover our entire curriculum in one short article, we’ll share some of the highlights. It begins (perhaps unsurprisingly) in our primary classrooms.

 

Geometric Solids

Pictured below, the geometric solids are our students’ first direct exposure to geometry. The solids are displayed on a shelf and are contained in a basket or tray. The adult invites the child to a lesson and asks them to retrieve the shapes. They then look at each one. The lesson may go something like this:

 

  1. The guide picks up the cube, feels each side, and hands it to the child. The guide states, “This is a cube.” The cube is placed on the work rug.
  2. The process is repeated for each solid in the basket.
  3. Depending upon the child’s readiness, they may continue, with the guide asking questions like, “Where is the cylinder?”
  4. After the child has had some time to interact with the material independently for a while, the guide will again sit with them and assess their understanding. This is done by holding one sold at a time and asking the child to name it.  

 

There are many fun extensions associated with this material. One favorite includes putting the solids in a mystery bag or using a blindfold so the child has to guess and identify by touch alone.

geometric solids

Geometry Cabinet

The geometry cabinet is used in primary and elementary classrooms, although differently in each. What begins as a lesson in identifying basic shapes and discerning between their sizes evolves into complex identification and blending of skills. Some of the skills this material helps us teach our students include:

 

Types of triangles (acute scalene, acute isosceles, right scalene, right isosceles, obtuse scalene, and obtuse isosceles)

  • Quadrilaterals (trapezoids, a rhombus, and a parallelogram)
  • Regular polygons (pentagon, hexagon, heptagon, octagon, nonagon, and decagon)
  • Curved figures (curvilinear triangle, oval, ellipse, quatrefoil)
  • Rectangles
  • Circles

 

Constructive Triangles

Beginning during the primary years and continuing through the younger elementary years, the constructive triangle boxes are another child favorite. A series of boxes teaches a variety of concepts.

 

  1. Triangle box: Used to show how different types of triangles can be combined to make other triangles, also indirectly teaches fractions concepts.
  2. Large hexagon box: Used to show how triangles can be combined to create other figures, including a hexagon, rhombus, and parallelogram.
  3. Small hexagon box: A continuation of the same basic concept as the previous box, but this time triangles are used to create rhombi, a trapezoid, and another configuration of a hexagon.
  4. Rectangle box: Triangles are used to create a square, rectangle, and other quadrilaterals.
  5. Blue triangles boxes: While the previous boxes utilized different colors for different types of triangles, in this box they are all painted blue. This is basically an extension of previous work and allows children an opportunity to rely less on previously helpful visual clues. There is also lots of opportunity to use the blue triangles to create more complex geometric figures.

 

Classified Nomenclature

Once some of the more basic skills have been mastered by the child, they move on to engage with the classified nomenclature. As with all other Montessori work, this is a step toward abstraction. They are no longer relying heavily on the wooden materials they can hold and manipulate, rather they are using drawings, booklets, charts, and labels.

 

This work can become rather in-depth and continues into the older elementary years. A very broad overview of skills includes:

 

  • Fundamental concepts (point, line, surface, solid)
  • The study of lines
  • The study of angles
  • Plane figures
  • Study of the triangle
  • Study of quadrilaterals
  • Study of regular polygons
  • Study of the circle

 

These studies are not short lessons like the child has experienced previously. They are multi-layered and can take months to complete. For example, the study of angles may begin during the first years of elementary, but continue periodically until the child reaches sixth grade. Concepts include:

 

  • Parts of an angle
  • Types of angles
  • The measurement of angles
  • Constructing angles
  • Relationships between two angles
  • Two lines and a transversal
  • Constructing and copying an angle
  • Bisecting an angle
  • Operations with angles

 

Beyond all these amazing materials, it’s important to note that there is a lot of crossover when it comes to Montessori subjects. One perfect example is a favorite grammar work called the Detective Triangle Game. While its main intention is to practice using correct adjectives, this is done by way of sorting a multitude of triangles, with different colors, types, and angles.

 

Want to learn more? Please reach out if you have any specific questions and want to have a conversation. As always, we believe the best way to truly understand what goes on in a Montessori classroom is to sit quietly and observe in one. Contact us today to schedule a visit.

Group of elementary students sitting cross legged on the floor looking at maps and timelines
By Meagan Ledendecker May 7, 2026
See how Montessori timelines make abstract time tangible for children, building historical thinking, imagination, and inner order through hands-on work.
By Meagan Ledendecker May 7, 2026
If you've spent any time in a Montessori early childhood classroom, you've likely noticed the sandpaper letters on the shelf: elegant, tactile, traced by small fingers again and again. And if you've looked closely, you may have noticed something that surprises many families. Those letters are in cursive. In a world where most children learn to print first, Montessori's cursive-first approach raises questions. Why cursive? Why so early? The answers reach back to Dr. Maria Montessori's own careful observations of children, as well as forward to what modern neuroscience is now confirming about the developing brain. What Dr. Montessori Actually Observed Dr. Montessori was a meticulous observer of children, and her thinking about writing developed through years of direct experimentation. One of her core observations was that children naturally gravitate toward curved, flowing lines rather than the rigid, straight strokes that were (and often still are) the starting point for teaching print. She noticed this pattern across multiple contexts. When children who were learning to write began with rows of straight strokes, their attention would gradually drift, and the straight lines would slowly transform into curves, as if the child's hand were following its own natural inclination. And when children drew spontaneously by tracing figures in sand with a fallen twig, or scribbling freely on paper, they rarely produced short, straight lines. Instead, they made long, flowing, interlaced curves. Dr. Montessori paid attention. Rather than something random, she recognized the hand's natural motion expressing itself. Critical of standard teaching approaches that began with isolated geometric strokes, or regimented mark-making, Dr. Montessori saw that cursive script, with its connected, flowing letters, aligned far more naturally with the motions children were already making. It worked with the child's hand, rather than against it. The Neurological Case for Cursive Thanks to her keen observations, Dr. Montessori intuited benefits that research is now beginning to confirm. Modern brain science provides a compelling case for the value of cursive writing. This is especially powerful in early childhood, when the brain is forming the connections that will support reading, fine motor coordination, and cognitive development for years to come. Dr. William R. Klemm, writing in Psychology Today, summarized findings showing that learning cursive trains the brain to develop what researchers call “functional specialization,” or the capacity for optimal efficiency. Brain imaging studies show how multiple areas of the brain are activated simultaneously during cursive writing in a way that doesn't happen with typing or print. The integration of sensation, movement control, and thinking that cursive requires appears to support broader cognitive development in genuinely significant ways. Klemm also suggested that learning cursive trains the brain for more effective visual scanning, with potential benefits for reading speed and hand-eye coordination. In other words, the child who traces cursive sandpaper letters with their fingertips is developing neural pathways that support a wide range of future learning. Clarity, Beauty, and the Practical Benefits Beyond the neurological research, there are practical reasons that Montessori educators have observed over generations of practice. Cursive provides a better visual distinction between letters that are easily confused in print. Think about the pairs that trip up so many young learners: b and d, p and q. In cursive, these letters look different from one another, which reduces the visual confusion that causes so many children to struggle in the early stages of reading and writing. And then there is the matter of beauty, something Dr. Montessori took seriously in everything she prepared for children. She wrote that, in teaching writing, we should pay close attention to "the beauty of form" and "the flowing quality of the letters." Cursive handwriting, when developed well, is genuinely lovely. It is a form of penmanship that connects children to a long tradition of human expression through the written word. The Montessori approach treats handwriting as a craft worth caring about. What This Looks Like in the Classroom In a Montessori early childhood environment, the path to writing begins long before a child picks up a pencil. Practical life activities like pouring, spooning, buttoning, and lacing quietly help children develop the fine motor control and hand-eye coordination that writing requires. The sensorial materials train children’s pincer grip and refine the precision of small muscle movements. And the metal insets give children practice with the flowing, curved lines that build cursive letters. Then children begin using the sandpaper letters. While verbalizing the phonetic sound, children trace the letter with two fingers. Children feel the letter, produce its sound, and see its form. This multi-sensory experience engages multiple brain areas simultaneously and creates rich, layered associations that support both writing and reading development. By the time children are ready to write independently, they have been preparing their hand and mind for months, often without even realizing it. A Method Ahead of Its Time Dr. Montessori consistently arrived at insights that research has later confirmed. Her reasons for emphasizing cursive were rooted in direct observation of children. She watched children’s hands and their natural movements. She also looked to see what helped them and what created unnecessary struggle. Dr. Montessori wasn't following a trend or a theory. She was following the child. Decades later, brain imaging technology and developmental research are catching up to what Dr. Montessori saw. Flowing lines of cursive script, the sandpaper letters on the shelf, the careful preparation of the hand before children ever pick up the pencil. This is a deep and practical understanding of how children's minds and bodies actually work. For families curious about why Montessori makes this choice, the short answer is this: because children's hands already know how to make these movements. Montessori simply listens to what the hand is already telling us and builds from there. Visit our school in Lenox, MA and see the sandpaper letters and writing materials in action. We'd love to show you how the path to writing unfolds in Montessori.
Image of a preschool aged girl standing in front of an ironing board with a spray bottle and fabric
By Meagan Ledendecker May 7, 2026
When children struggle, Montessori asks: what's in the way? Explore how the prepared environment helps children find their way back to themselves.
Group of toddlers exploring various materials in a grassy, sunny outdoor space
By Meagan Ledendecker May 4, 2026
Discover how Montessori education nurtures children's deepest human needs — from exploration and meaningful work to belonging and spiritual growth.
image of an adult and an elementary student sitting together on the floor reviewing a lesson
By Meagan Ledendecker April 27, 2026
Discover how peer learning, meaningful context, adult interaction, and order align Montessori with the science of how children learn best.
Image of three elementary students standing and crouching around a raised garden bed
By Meagan Ledendecker April 20, 2026
Does Montessori work? Explore the research behind movement, choice, interest, and intrinsic motivation in Montessori: The Science Behind the Genius.
Show More