The Power of Three

LakeCreek Montessori • October 19, 2023

In Montessori, the number three shows up a lot! We have the three-hour work cycle, three-year age spans, the three-period lesson, and the three-stage learning cycle. While there is considerable spiritual significance to the number three throughout human history, in a Montessori context, the importance of these threes is grounded in scientific observation of human development, characteristics and needs during different stages of growth, and how our brains synthesize information. 


If you are curious about the three-hour work cycle and three-year age spans, check out some of our past blog posts. This time we are going to focus on the learning process and how the three-period lesson and three-stage learning cycle meet young people’s needs for internalizing and synthesizing new information. 


Three-Period Lesson

 

The three-period lesson model came from Édouard Séguin (1812-1880), a physician and educator known for his work with children with disabilities. Séguin used the three-period lesson to help children make an association between an object and its corresponding term.

 

The three-period lesson captivates young children and rouses interest. Dr. Maria Montessori began to use three-period lessons to help young children connect language to the perception of an idea, and ultimately create a permanent acquisition in their memory. There are three discrete stages to this approach. 


The First Period: Naming


This first stage of the lesson is when we introduce vocabulary and help children make the connection between their experience and the language. In this first stage, we want to isolate both children’s impressions and the matching word. 


At the infant and toddler level, we start with real objects or small replicas. With young children, we have about four objects in a basket. We pick up one object and name it. We then allow a child to have a turn feeling the object and having their own sensorial experience of the item. In the process, the child brings together the name and their sensorial experience. We continue this with each object, saying the name multiple times. For example, “This is the _____. You can feel the _____. You can place the ____ here.”


We also use a similar process for introducing vocabulary through language cards which have a picture of one isolated object on the card. 


As children get a little older, we start introducing language for more abstract concepts. For example, if we are introducing tactile experiences, we offer children two different tablets that are identical except for one feature: one has rough sandpaper on it and the other has smooth paper. We feel the rough tablet and say: “It is rough.” Then the child feels the rough tablet. We repeat the same process for the smooth tablet.

 

The Second Period: Recognizing

 

This is the longest part of the lesson because we want children to have many experiences with the object or quality and its name. We rearrange the objects or cards and then ask children to place them in different locations or to point to a particular one. We might ask, “Which is rough?” Or say, “Place the _____ on my hand. Place the ______ here.”


We approach this second stage in a playful, game-like way although the goal is to cement the concept in children’s memory. If children make a mistake, we do not correct. Instead, we merely reinforce the correct vocabulary: “You handed me the picture of the cheetah.”


The Third Period: Remembering or Recall

 

We ask children aged three and older to recall the name that corresponds to the object by isolating the object or image and asking for its name: “What is this?" If children aren’t able to remember, we just try the three-period lesson again on another day. 


We don’t use this third stage with children younger than age three because they might not yet be ready to produce the sound. Plus, this request for recall isn’t a great idea to use with children when they are in their oppositional stage (around age two)!


The Elementary Years


Elementary-aged children engage with new material in a similar, yet more sophisticated way. The learning process echoes the three-period lesson but isn’t exactly the same. 


The first period involves a presentation by the adult, which can include the great stories, impressionistic charts, materials, experiments, and demonstrations. The focus is on introducing specific concepts, activating student interest, and providing a big-picture view before going into specific details. Rather than being vocabulary-based as with younger children, these lessons are intended to introduce elementary students to the wonder of the universe. In this first period, the adult gives only what is absolutely necessary for the lesson, so the students can move into their own exploration. 


The second period is the longest part of the learning activity and is an exploratory phase of learning when students freely choose follow-up work. We want to see how far children can go with what they have learned, so the second period offers repetition with variation and encourages extension and elaboration of original concepts. Once they have done extensive work, students have reached the third period. 


During the third period, the adults are discreetly and indirectly assessing children’s learning. Through conversation and observation, adults can see if the students can recognize the concept and perhaps apply it to a new or novel situation. Unlike with younger children, there is no expectation for students to perform or produce evidence of their learning. The onus is on the adult to observe and gather data that will help direct future lessons and even re-presentations.


In Adolescence


A similar learning cycle also exists in the Montessori adolescent community as a way to support learning, development, and self-creation for teens.


Similar to what happens in the elementary, this first stage is a lesson or experience offered by an adult. It is an invitation to work and contribute to community needs by addressing a specific, concrete issue. In the first stage, adults can also elicit student input by asking adolescents for options and choices about the work they want to do and how they want to do that work.


During the second stage, students engaged in freely chosen work that is activated by interest or a recognition of a need in the community. The adults are there for guidance as adolescents work with skills and ideas and begin to consolidate them. This stage can include research, experimentation, inquiry, data collection, discussions to enhance collective understanding, physical and practical work to accomplish a task, and consultation with experts. Throughout the second stage, the adults are looking for what draws students into the task, what keeps them working, and what drives contribution to produce, think, and question. 


In the third stage, adolescents can offer what they learned by giving back to their community. Unlike in the elementary years when the adults are discretely observing for understanding, now there is an expectation that adolescents can produce a product at the end of their work. This sharing of knowledge and understanding is both a consolidation of concepts and skills, and a way to acknowledge that the work exists within the context of community. Products of the third stage can include a demonstration, publication, or implementation.


While these three stages take on slightly different forms from infancy through adolescence, the goal is the same: to effectively support young people as they integrate their learning. Come visit our school to see the power three!

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Have you ever watched a child trace the outline of a window with their finger, or carefully line up blocks into a perfectly symmetrical row? They may not have a name for what they're doing, but they are already exploring geometry. Dr. Maria Montessori understood that geometry is not an abstract school subject. It is part of the world children live in from the very beginning. A glance at the typical geometry textbook might suggest otherwise. Formulas, diagrams, and definitions can feel remote and lifeless, something to be memorized and forgotten. But look around for a moment. There is geometry in the angles of a mineral crystal and in the symmetry of a butterfly's wings. There is geometry in the legs of a chair and in the steel girders of a bridge. Children encounter it everywhere! In fact, research suggests that a basic intuitive understanding of geometric concepts may be inborn in human beings. A fascinating study of the Munduruku (an indigenous group living in the Amazon whose language includes very few spatial or geometric terms) found that both adults and children demonstrated an intuitive grasp of basic geometric ideas. This isn't something they were taught. It was already there. Montessori classrooms build on exactly this kind of inborn understanding. From Sensory Experience to Big Ideas In the early childhood years, children work with geometry through their hands. Materials like the Constructive Triangles, the Metal Insets, and the geometric cabinet give children a felt, physical understanding of shape, symmetry, and form before we introduce any formal terminology. Children gather and store these impressions. Their minds are being prepared. As they get older and certainly in the elementary years, children are ready to bring names and reasons to what they already sense. Elementary-aged children don't just want to know what something is called. They also want to know why. Why is this shape called a pentagon? (Spoiler: Its name comes from the Greek word for five: pente.) Geometry becomes a doorway into the history of language, ancient Greece, and the lives of mathematicians like Thales, Pythagoras, and Euclid, who puzzled over the same ideas thousands of years ago. This is the spirit of Cosmic Education when we pull one thread of curiosity to find it unravels into history, language, culture, and mathematics! Geometry, Algebra, and Arithmetic Woven Together One of the things that makes Montessori's approach to geometry so distinctive is that it doesn't stand alone. In the Montessori classroom, geometry is part of a three-part approach to mathematics, interwoven with arithmetic and algebra in ways that make each of them easier to understand. The Binomial Square is a good example. It presents the algebraic expression of (a + b)² = a² + 2ab + b² as a geometric pattern of squares and rectangles that children can actually build and hold. The arithmetic follows the pattern. The pattern confirms the algebra. Each one reinforces the others, and the whole thing is far more memorable than just a formula written on a board. Open-Ended, Creative, and Genuinely Fun Plus, a lot of Montessori geometry work has no single correct answer. We invite children working with the Metal Insets or Constructive Triangles to find as many equivalent figures as they can for a given shape. There may be dozens of ways to approach the same problem. This open-endedness nurtures the creative, analytical thinking that elementary children are hungry for. Plus, this quality of thinking will serve them in every area of life. Compass-and-straightedge constructions are another example. These beautiful, precise drawings challenge children in a way that is both mathematical and artistic. Many children find them deeply satisfying. What This Looks Like at Home You don't have to wait for the classroom to feed your child's geometric curiosity. Point out the shapes in a honeycomb. Notice the angles in a spider's web. Talk about the tiles on the floor or the panes in a window. Ask your child questions. Do you think that could be a triangle? How many sides does it have? These small moments of noticing are the same thing Montessori described when she wrote about preparing the environment to reflect the world children already live in. Geometry is already there. We're simply helping children see it. Come visit us in LakeCreek Montessori School to see how this unfolds in the classroom and to watch children fall in love with one of humanity's oldest ways of understanding the world.

Montessori Materials Explained: The Metal Insets

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