The Constructors of Upper Elementary

The nature of most every concept in a Montessori curriculum is one of connection and integration.  It is rare that we find a lesson or idea that isn’t predicated on a previous experience in our classrooms. In this way, a Montessori environment is a more accurate reflection of the world around the child than in a traditional pedagogy, where geography is a separate study from zoology, a separate study from botany, a separate study from history, when clearly all four curricula form a tight weave of intersecting causes and effects. We see this in mathematics as well, where often a textbook will include geometry as a chapter unto itself, robbing the child of the benefit of seeing the many areas (pun intended) of overlap. 

Both of these concepts, connection to prior experience and connection to other subjects are present in the Constructive Triangles. Squaring and factoring informs our study of area and cubing supports the study of volume to mention just one. Geometry as a whole also presents materials that a child will use over a large span of their school “career”, each time returning and moving, as always, from the concrete and the tactile, to the abstract and logical.  The Constructive Triangles and the Geometric Solids are part of a Primary, Lower Elementary, and Upper Elementary classroom offering the strength of prior experience with the challenge of a new way to see and manipulate them. 

As teachers, we notice the same strengths and challenges inherent.  We proceed with all of our students hoping they have worked through their sensitive periods in any area of the room, to set the stage for what we present to them. In the case of geometry, in the case of area, we go back quite far to the child’s first years in school. Those children acquire prerequisites if you will, that will greatly enhance their work in the study of area, especially the creation of formulas. One is the concept of equivalence, learned in Primary sensorially; I can make this figure with these other figures.  The other is the nomenclature describing the various parts of polygons; this is an “angle”, show me “height”, what is this?

In upper elementary, the Study of Area, then, must commence with the Study of Equivalence, the relationship between figures. A station of arrival that gathers what the child has done previously; a station of departure for what comes next.

The Universal

I spend my summers presenting Montessori materials and working with teachers in different parts of the world.  From public charter schools in South Carolina and Detroit, to a village in Ghana where pencils are shared, and Shanghai where materials still wrapped from the manufacturer are opened for me to show..

To say that it impresses upon me the universality of Montessori would be an understatement.  And so I’ve spent some time thinking about what it is about this method of education that is so adaptable across time, over a hundred years, and space.  I think part of the answer is that at its core, Montessori is a reflection of humanity’s most essential components.

It is rooted in movement.  We see this clearly in the materials and the nature of the environments.  Ours is a dynamic space.  Movement is engaged, both gross motor, as works are chosen and replaced, and fine motor, exchanging one stamp for ten, one bead for ten, forming quadrilaterals from triangles.  “Children”, Montessori reminds us, “learn through their hands”.   Movement is also rooted in our humanity.  When we need to express our deepest emotions, are words ever adequate?  What conveys comfort better than an embrace?  What communicates affection more clearly than the stroke of a cheek?  We are born to movement.  Our first breath is movement.  Movement makes us human.

It is rooted in imagination.  Our children place a thousand stamp and see, in their mind’s eye, a thousand cube.  A piece of string becomes a line that never ends, moving to infinity in either direction. Globes become worlds. Look around you, for worse but mostly for the better, everything we have created as humans was created through imagination.  Montessori likened us to Robinson Crusoe, wresting material from the Earth to meet our needs, using our greatest tool, our imagination.  It is what moves us forward with hope, envisioning a future better than the present, better than our past.  “If there is to be change in the world”, Montessori reminds us, “it will begin with children.”

It is rooted in love.  There is no greater lesson in a Montessori classroom than the value of compassion.  The care of our environment comes from a love of order.  The care of each other comes from our love of community.  We could even say that the child’s inner drive to refine, to learn, to grow, is derived from love, because isn’t self-respect and esteem a loving and caring process of our future self?  

And we have all chosen to make this our life’s work.  Now think of the circumstances that have led to this moment.  My parents, one from Germany, the other from America, had to meet for me to be born, and their parents and their parents parents and so on, from Ireland, Wales, Scotland, Austria, Germany.   We are all, then at the apex of a great triangle.  The circumstances and events that led to this moment, repeated for all of us, then gives us the idea, not of a triangle, of a great cone, stretching out behind this moment, and focused right here, right now.  If we look ahead, doesn’t the same shape appear to us?  The events in our lives, planned and unplanned, woven with others, expand out away from us as will our descendants.  A cone behind, cone ahead. That’s what makes these years, our work, in each passing moment, so important.

The Three Questions (Leo Tolstoy, related by Thich Nhat Hanh)

One day it occurred to a certain emperor that if he only knew the answers to three questions, he would never stray in any matter. What is the best time to do each thing?

Who are the most important people to work with? What is the most important thing to do at all times? The emperor issued a decree throughout his kingdom announcing that

whoever could answer the questions would receive a great reward. Many who read the decree made their way to the palace at once, each person with a different answer.

In reply to the first question, one person advised that the emperor make up a thorough time schedule, consecrating every hour, day, month, and year for certain tasks and then follow the schedule to the letter. Only then could he hope to do every task at the right time. Another person replied that it was impossible to plan in advance and that the emperor should put all vain amusements aside and remain attentive to everything in order to know what to do at what time.

“How’s that?” the emperor asked, puzzled.
”Yesterday, if you had not taken pity on my age and given me a hand with digging these beds, you would have been attacked by that man
on your way home . Then you would have deeply regretted not staying with me. Therefore the most important time was the time you were digging in the beds, the most important person was myself and the most important pursuit was to help me. Later, when the wounded man ran up here, the most important time was the time you spent dressing his wound, for if you had not cared for him he would have died and you would have lost the chance to be reconciled with him. Likewise, he was the most important person, and the most important pursuit was taking care of his wound.
”Remember that there is only one important time and that is now. The present moment is the only time over which we have dominion. The most important person is always the person you are with, who is right before you, for who knows if you will have dealings with any other person in the future? The most important pursuit is making the person standing at your side happy, for that alone is the pursuit of life.”

Someone else insisted that, by himself, the emperor could never hope to have all the foresight and competence necessary to decide when to do each and every task and what he really needed was to set up a Council of the Wise and then to act according to their advice. Someone else said that certain matters required immediate decision and could not wait for consultation, but if he wanted to know in advance what was going to happen he should consult magicians and soothsayers. The responses to the second question also lacked accord. One person said that the emperor needed to place all his trust in administrators, another urged reliance on priests and monks, while others recommended physicians. Still others put their faith in Warriors. The third question drew a similar variety of answers. Some said science was the most important pursuit. Others insisted on religion. Yet others claimed the most important thing was military skill. The emperor was not pleased with any of the answers, and no reward was given.

After several nights of reflection, the emperor resolved to visit a hermit who lived up on the mountain and was said to be an enlightened man. The emperor wished to find the hermit to ask him the three questions, though he knew the hermit never left the mountains and was known to receive only the poor, refusing to have anything to do with persons of wealth or power. So the emperor disguised himself as a simple peasant and ordered his attendants to wait for him at the foot of the mountain while he climbed the slope alone to seek the hermit. Reaching the holy man’s dwelling place, the emperor found the hermit digging a garden in front of his hut. When the hermit saw the stranger, he nodded his head in greeting and continued to dig. The labor was obviously hard on him. He was an old man, and each time he thrust his spade into the ground to turn the earth, he heaved heavily. The emperor approached him and said, “I have come here to ask your help with three questions: When is the best time to do each thing? Who are the most important people to work with? What is the most important thing to do at all times?” The hermit listened attentively but only patted the emperor on the shoulder and continued digging. The emperor said, “You must be tired. Here, let me give you a hand with that.” The hermit thanked him, handed the emperor the spade, and then sat down on the ground to rest. After he had dug two rows, the emperor stopped and turned to the hermit and repeated his three questions. The hermit still did not answer, but instead stood up and pointed to the spade and said, “Why don’t you rest now? I can take over again.” But the emperor continued to dig. One hour passed, then two. Finally the sun began to set behind the mountain. The emperor put down the spade and said to the hermit, “I came here to ask if you could answer my three questions. But if you can’t give me any answer, please let me know so that I can get on my way home.”

The hermit lifted his head and asked the emperor, “Do you hear someone running over there?” The emperor turned his head. They both saw a man with a long white beard emerge from the woods. He ran wildly, pressing his hands against a bloody wound in his stomach. The man ran toward the emperor before falling unconscious to the ground, where he lay groaning. Opening the man’s clothing, the emperor and hermit saw that the man had received a deep gash. The emperor cleaned the wound thoroughly and then used his own shirt to bandage it, but the blood completely soaked it within minutes. He rinsed the shirt out and bandaged the wound a second time and continued to do so until the flow of blood had stopped. At last the wounded man regained consciousness and asked for a drink of water. The emperor ran down to the stream and brought back a jug of fresh water. Meanwhile, the sun had disappeared and the night air had begun to turn cold. The hermit gave the emperor a hand in carrying the man into the hut where they laid him down on the hermit’s bed. The man closed his eyes and lay quietly. The emperor was worn out from a long day of climbing the mountain and digging the garden. Leaning against the doorway, he fell asleep. When he rose, the sun had already risen over the mountain. For a moment he forgot where he was and what he had come here for. He looked over to the bed and saw the wounded man also looking around himself in confusion. When he saw the emperor, he stared at him intently and then said in a faint whisper, “Please forgive me.”

“But what have you done that I should forgive you?” the emperor asked. “You do not know me, your majesty, but I know you. I was your sworn enemy, and I had vowed to take vengeance on you, for during the last war you killed my brother and seized my property. When I learned that you were coming alone to the mountain to meet the hermit, I resolved to surprise you on your way back and kill you. But after waiting a long time there was still no sign of you, and so I left my ambush in order to seek you out. But instead of finding you, I came across your attendants, who recognized me, giving me this wound. Luckily, I escaped and ran here. If I hadn’t met you I would surely be dead by now. I had intended to kill you, but instead you saved my life! I am ashamed and grateful beyond words. If I live, I vow to be your servant for the rest of my life, and I will bid my children and grandchildren to do the same. Please grant me your forgiveness.” The emperor was overjoyed to see that he was so easily reconciled with a former enemy. He not only forgave the man but promised to return all the man’s property and to send his own physician and servants to wait on the man until he was completely healed. After ordering his attendants to take the man home, the emperor returned to see the hermit. Before returning to the palace the emperor wanted to repeat his three questions one last time. He found the hermit sowing seeds in the earth they had dug the day before. The hermit stood up and looked at the emperor. “But your questions have already been answered.” 

“How’s that?” the emperor asked, puzzled. “Yesterday, if you had not taken pity on my age and given me a hand with digging these beds, you would have been attacked by that man on your way home . Then you would have deeply regretted not staying with me. Therefore the most important time was the time you were digging in the beds, the most important person was myself and the most important pursuit was to help me. Later, when the wounded man ran up here, the most important time was the time you spent dressing his wound, for if you had not cared for him he would have died and you would have lost the chance to be reconciled with him. Likewise, he was the most important person, and the most important pursuit was taking care of his wound.

“Remember that there is only one important time and that is now. The present moment is the only time over which we have dominion. The most important person is always the person you are with, who is right before you, for who knows if you will have dealings with any other person in the future? The most important pursuit is making the person standing at your side happy, for that alone is the pursuit of life.”

These are perilous times.  If there is to be change in the world, it will start with children.  In Montessori classrooms.  Within each passing moment.