Materials Spotlight: The Geometry Cabinet

Nestled on a shelf in Montessori primary classrooms you’ll find a small wooden cabinet with six to seven slim drawers. It may not look like much from the outside. Even when you slide out one of the drawers, you’ll just see six wooden square divisions each with a wooden inset with a small knob in the center. As you continue to pull out the different drawers, you’ll discover that each wooden inset is a series of geometric shapes: circles that vary in diameter, rectangles with the same height but varying in width up to the square, different triangles, regular polygons, quadrilaterals, and curved figures. 

This is the Geometry Cabinet, an important and well-used material in Montessori primary (and elementary) classrooms. With a multitude of uses, this material serves to help children not only enhance their visual and muscular memory, it also provides a foundation for advanced geometry work as well as preparing children’s hands for writing.

The Foundation for Geometry

First and foremost, the geometry cabinet introduces plane geometry. Often, you’ll see a demonstration tray on the top of the cabinet. This tray contains insets of the equilateral triangle, square, and circle. These three shapes form a foundation in geometry: the circle calculates angles, the triangle constructs, and the square measures area. 

Another fun way to think about these three shapes is in terms of polygons. The equilateral triangle is the polygon with the least possible number of sides. The circle can be thought of as a polygon with infinite sides. The square represents the rest of the polygons. Of course, this is something Montessori children get to explore in their elementary years. In the primary classroom, we use this demonstration tray to introduce how to use the geometry cabinet trays and insets, as well as to provide children with the first impression of the three fundamental shapes in geometry. 

A Tactile Experience

One of the first things we do with the geometry cabinet is demonstrate how to use the knob to pick up the shape with the non-dominant hand and then trace the whole perimeter of the shape with the index and middle fingertips of the dominant hand. We also show how to trace the outline of the aperture that the shape fits into. This careful, meditative action is designed to both give children a tactile impression of the shape and to help them develop the fine motor control necessary for writing.

Once children have this experience with a few shapes, they move on to tracing and matching the shapes from a whole drawer and then even mixing up the shapes from multiple drawers to trace and match into their aperture. When children get good at this process, we introduce taking away the visual sense by wearing a blindfold!

From Concrete Objects to Abstract Symbols

We also introduce sets of cards for each geometric shape. In the first set, the figure is filled in completely. In the second set, each figure has a one-centimeter wide outline. In the third set, each figure has a one-millimeter wide outline. Children select an inset shape and go through the stack of the first set of cards until they find the one that matches the shape. Then they place the inset exactly onto its matching card. 

By placing the inset shapes onto the cards with thick to thin outlines, children are learning how an abstract symbol can represent a concrete object. This is preparation for reading! If children can recognize and distinguish between a trapezoid and a parallelogram, they will be more likely to be able to distinguish two other shapes like a cursive b and a cursive z. When children have a lot of experience recognizing shapes, they will be more able to recognize the shapes they encounter in letters because symbols are shapes defined by lines. Think about the progression of abstraction from a filled-in trapezoid, to the outline of trapezoid, to the letter A.

Rich Language

As children are working with these shapes, we also revisit the material to introduce vocabulary. Even the youngest children are learning the names of quadrilaterals (rectangle, square, rhombus, parallelogram, isosceles trapezoid, right-angled trapezoid), curved figures (circle, oval, ellipse, quatrefoil), triangles (equilateral triangle, right-angled isosceles triangle, acute-angled isosceles triangle, obtuse-angled isosceles triangle, right-angled scalene triangle, acute-angled scalene triangle, obtuse-angled scalene triangle), and polygons (pentagon, hexagon, heptagon, octagon, nonagon, decagon). Because young children absorb this language effortlessly, we offer them the exact names. Rather than just “triangle,” Montessori children learn how to differential triangles based on their angles and sides. They can just as easily name an acute-angled scalene triangle as they can an ellipse. 

Memory Games

We also use the Geometry Cabinet to play a series of sensorial games that help children perfect their perceptions and make their mental classifications conscious.

In the first memory game, the geometry shapes and their apertures are mixed up between two locations in the room, far enough apart to allow more time for children to hold the memory of the shape as they move through various potential distractions to find the match. The second game is a little harder because the shapes are placed in scattered locations around the room. When children go to find a specific shape, they must retain the impression in their memory for a much longer time and not be distracted by the other images they are receiving. In this process, children are exercising their skills of memory and recognition. 

The third memory game is one in which children try to find an object in the room that has the exact match of the shape. This experience allows children to move from working with the geometric qualities in their isolated form in the material to helping discover the qualities of the shapes in the world around them.

The final game is a group experience with one of the trays containing one type of shape that changes in dimension, such as the six circles with increasing diameter, or the six rectangles with increasing width. In this game, the children work together to show the sequence of gradation in the shape. In a more difficult version of this game, children take their piece and experience it (look at it, touch/feel it, etc.) and then put the shape behind their backs. They then try to lay out the pieces in the correct order of size without seeing each other’s shapes!

Multiple Benefits

While the main purpose of the Geometry Cabinet is to help children develop the visual discrimination of shapes (an important skill used in learning and especially reading), there are so many other benefits. The activity of tracing their fingers along the edges of the shapes and frames helps prepare children for using a pencil to make the shapes that form letters. Grasping the knobs helps them refine their pincer grasp. They learn important vocabulary and also increase their concentration and fine motor control. 

A simple material with so many benefits, the Geometry Cabinet is a material worth coming to see. We invite you to visit to experience first-hand how children interact with this foundational geometry material. Schedule a tour today!

Our Gifts to Children

The brain of a young child works differently than the brain of an adult. Sensorial experiences shape children’s brains, forming neurological webs that last throughout their life.  

The fact that our interactions with young people help shape their future selves opens up an incredible opportunity. Each experience can be a gift. Often the simplest moments can carry the most meaning.

During the rush of this season, we have the opportunity to slow down and really be present with the young children in our lives. By being open to the wonder and delight our children experience, we gain new perspective while also giving the best gift of all: our total attention.  

This may mean taking a deep breath and momentarily turning off the chatter of the to-do list, squatting down to a child’s eye level, smiling, and just listening or seeing what they want to share. A helpful holiday mantra can be: Talk less. Listen more.

In addition to giving our full attention, whether for 20 seconds or 20 minutes, we can also offer to teach a young person a new skill. The key to these teaching moments is to focus on each distinct step so the skill is simple and attainable. Even very young children can be involved with tasks like setting the table, wrapping gifts, and tending to simple household maintenance. They appreciate being involved with routine activities and they want to contribute in a meaningful way.

Dr. Jane Healy, author of numerous books, including Your Child’s Growing Mind, reminds us that children need the opportunity to repeatedly practice activities that seem second nature to adults: “Self-help skills and household jobs are very important for the child to master–help your child, but encourage him to do it himself even if the job isn’t done exactly your way!”

When encouraging or supporting a child in trying a new skill or participating in a new task, be sure to take the child’s perspective into account. Showing how to do something is often the most effective and verbalized instructions can be kept to a minimum. In fact, it is best to not talk while showing something and to not show something while talking! This allows the child to focus on absorbing one kind of sensory input, thus keeping the information clear in their mind. 

These kinds of ordered and clear experiences are key to a child’s development. “Impressions do not merely enter his mind; they form it,” explained Dr. Maria Montessori a physician turned educator who spent intensive time observing children, making scientific notes, and thus coming to an enlightened understanding of childhood development.

Dr. Montessori observed how children respond positively to organization, both in terms of expected routines and physical space. Current research, such as that comparing the HOME inventory (Home Observation for Measurement of the Environment) to longitudinal information collected in the Bayley Mental Development Inventory, shows that organized environments lead to higher intelligence scores.*  

We all know that the holiday season throws our routines and even our physical settings a bit askew. With this in mind, children benefit greatly from adults in their lives maintaining a calm sense of order during this busy time.  

In order to create a calm, ordered environment, we ourselves need to have balance and clarity in our own lives! Staying present in the moment, breathing deeply, and ultimately taking care of our own needs allows us to offer our best selves to the children around us.  

What we offer to our children, in terms of our presence, special activities, or toys, can provide opportunities to aid their development. During this time of gift-giving, for example, we can provide objects that have an intelligent purpose and help children contribute in a meaningful way to the order around them. Child-sized, yet real, items are particularly valuable: cooking tools, building tools, yard tools, and even mops and brooms.  

Children don’t stay young for long, and the early years are extremely formative. In her book, Understanding the Human Being: The Importance of the First Three Years of Life, Silvana Quattrocchi Montanaro explains the significance of a young child’s experiences: “Everything that comes from the environment is received, processed and stored in the brain cells with no effort using a form of unconscious absorption. This intense mental activity is always going on, even in prenatal life, and it characterizes ‘the absorbent mind’.” 

For those interested in learning more about optimal environments for these “absorbent minds,” schedule a visit to our school. We can share more about setting up home environments that best support child development and show how our learning environments are specifically designed for neurological growth.

Knowing that the young children around us are absorbing everything about their surroundings, this season let’s give them our attention, meaningful ways to contribute to daily tasks, and a calm, ordered environment.  As a result, we’re helping some remarkable young people as they develop into capable, caring young adults.

*For more information on this research, check out the book, Montessori: The Science Behind the Genius by Angeline Stoll Lillard.

The Stereognostic Sense

In Montessori toddler and primary classrooms, we offer specially designed materials to help young children refine their senses. In addition to the five senses—tactile (touch), visual (seeing), auditory (hearing), olfactory (smell), and gustatory (taste)—we also support children’s stereognostic sense. 

What is the stereognostic sense?

The word stereognostic comes from the Greek words “stereo” which means “around” and “gnosis” which means “to know.” Having a stereognostic sense means being able to identify the shape and form of a three-dimensional object, and therefore its identity, through tactile manipulation without any visual or auditory input.

“They are very proud of seeing without eyes, holding out their hands and crying, ‘Here are my eyes!’ ‘I can see with my hands!’”
– Dr. Maria Montessori, The Montessori Method

Children develop a mental picture of an object through the use of touch and movement. This tactile and muscular experience allows them to recognize an object by feeling and palpating without seeing or hearing the object. Everything we touch helps form a memory.

Young children are absorbing everything, so the more experiences they have with objects and parts of their environment, the more accurate their perceptions will be. Thus, the combination of language (naming objects), the tactile experience, and muscular memory provides children with a more complete and precise understanding of the world.

Mystery (or Stereognostic) Bags

In our toddler and primary classrooms, we have special “mystery bags” or “stereognostic bags” to support the development of children’s stereognostic sense. These drawstring bags contain objects children have already encountered in their environment. We make sure children know the names of the objects, too.

The first bag we introduce has a set of four to six objects that belong to a classified group, such as kitchen utensils, art supplies, bathroom items, etc. These are real items that children have used in their lives.

The next bag has four to six general objects that are not grouped in any category (e.g. a comb, rock, sponge, funnel, cloth, etc.).

The third bag has three to four pairs of objects that are very different from each other. 

The Experience

When we introduce each of these bags, we first show how to carry the bag and invite the child to take the bag to a table. We then carefully demonstrate how to open and close the bag and give the child a turn to try opening and closing. Next, we peek inside the bag and remove one item at a time, naming each object as we remove it from the bag and place it on the table. We also give the child a turn to feel each item. When all the objects are removed from the bag and lined up on the table, we name one and invite the child to place it in the bag. We repeat this until all the objects are back in the bag. 

Then the fun begins! We explain that we are going to reach into the bag to find an item. Putting both hands into the bag (and without looking in the bag) we feel around and grasp an object. With some enthusiasm, we say the item’s name before we remove the item. Then we take the item out of the bag and show it to the child. Often the child watching takes great delight in the fact that we were able to name the object before seeing it. We repeat with the other items and then invite the child to try. When using the bag with the paired objects, the only difference is that we select one item, name it, remove it from the bag, and then try to feel for the matching item.

We regularly rotate the items in the bags so children have lots of opportunities to feel for what is in these “mystery bags”. Children find the experience to be absolutely delightful!

The best part is that when children try to recognize an object through touch alone, their brain receives the sensorial input and then forms a three-dimensional image that provides a more complete understanding and precise perception of the object. 

“When the hand and arm are moved about an object, an impression of movement is added to that touch. Such an impression is attributed to a special, sixth sense, which is called a muscular sense, and which permits many impressions to be stored in a ‘muscular memory,’ which recalls movements that have been made.”
– Dr. Maria Montessori, The Discovery of the Child

The stereognostic bags are just one example of the many carefully designed materials we introduce in Montessori classrooms. We always love to have you come visit to see or experience these sensorial delights firsthand. Schedule a tour today!