Littlewood's Law

I know the secret to making your dreams come true.

In an essay written for New Philosopher magazine (content not available online), Oliver Burkman discusses what's called Littlewood's Law, named for a British mathematician by the name of John Edensor Littlewood:

Let's suppose . . . that you're awake and active in the world -- as opposed to sleeping or resting -- for a mere eight hours a day. Suppose furthermore that a tiny 'event' of some sort occurs at the rate of once per second during those hours: you see someone in the street, you read or hear a sentence, or have a thought, and so on . . . Crunch the numbers on that basis, and it turns out you can expect to experience a one-in-a-million occurrence -- the kind of odds most of us would call miraculous -- roughly every 35 days.

So, simply from a mathematical perspective, each of us experiences a very lucky moment on roughly a monthly basis; unbelievably lucky, astronomically lucky, a miracle. The thing is, we don't get to choose what that specific lucky moment is going to be and because most of us are intent upon chasing a specific kind of luck, which we often label our "goal" or our "dream," we don't recognize those one-in-a-million occurrences.

When I graduated from college, my first employer was so impressed with my ability to write "proposals" that my unpaid internship turned into a paid one within months. I had been taught in school to write clear, unequivocal mission statements, followed by goals and objectives, supported by strategies and tactics, all in the service of that original mission statement, the idea being that if we just followed our plan our business dream would come true. Those plans helped us secure business, they helped us get going, but I soon came to realize, first with despair and then with a shrug, that our beautiful plans were almost immediately relegated to the file drawer in light of real events and real people. I realize now that those plans, far from helping us achieve our goal (which in business is always to make money), were really just blinders that pretty much guaranteed failure -- or at least a success far beneath the one postulated in the mission statement. The more seasoned businesspeople around me knew this already, at least in part, which is why my beautiful plans wound up by the wayside as we took the more certain path of making it up as we went along with varying degrees of success.

When I was young, before the pressures of "getting real" were upon me, I dreamt of being a superhero and a saint, of a life of hedonism and of adventure, of building things and tearing things down. I saw myself by turns a spelunker, baseball coach, architect, firefighter, daddy, hobo, titan, jewel thief, politician, archeologist, tinker, tailor, solder, and spy. I imagined myself living a life of ease and great striving, both poor and rich, complicated and simple. I toyed with all of those ideas for myself, each holding special charms, then, as I approached that arbitrary point we call adulthood, I pretended to focus on one of them. I was going to, one day, be the creative director of a Madison Avenue advertising agency. I know, pathetic, right? Even I didn't fully believe in it, although I had a "plan" for making it happen.

I really beat myself up about it, but by the time I had graduated from university, I was certain that I didn't want to be one of those Mad Men, so it was without enthusiasm that I continued to work that damned plan, which landed me with that first employer who was impressed by my ability to write plans: that employer, by a one-in-a-million chance, turned out to be the woman to whom I've now been married for the past 35 years. I don't know if I even recognized it at the time, but my dream had come true: I was and still am the luckiest man alive.

And I don't mean that in the usual sniveling, husbandly way, even though I know how it sounds. I don't care. It's true. I'd always dreamt of finding a true life partner.

One of my thousands of dreams was to follow in my own mother's footsteps, to be a parent and homemaker, something that had seemed an impossibility given the gender of my birth, yet, as luck would have it, I found myself in exactly that role when our daughter was young, just as I'd dreamt.

At some point, in my infinite list of youthful dreams, I'd fantasized about being a teacher and by the unpredictable turnings of fate, via a one-in-a-million long shot, someone asked me at just the right moment, "What are you going to do with your life?" And when I didn't have an answer, she replied, "You should be a preschool teacher." And that's what I did. What incredible luck! My dream came true!

In pre-Covid times I found myself traveling to places around the globe, self-indulgently "suffering" the toils and uncertainty of travel, speaking to audiences of colleagues who seemed to find me both entertaining and informative. This was another of my dreams coming true. I'd often romanticized the life of a traveling minstrel, roaming from town-to-town with nothing but a rucksack and a song. I was living the dream.

For a long time I dreamed of being a writer, and now here I sit, writing every day and people actually read it. My dream is reality.

It's all been pure luck. And please don't try to spoil it by insisting that it was luck made by hard work, diligence, and putting my nose-the-grindstone because despite popular mythology, that has had absolutely nothing to do with it. I've not worked hard: I've been lucky because I have dreamed a million dreams. 

And so that's my secret to making your dreams come true. Dream a lot. Dream often. Dream like a child, every day, passionately, then hold onto that dream even as you dream the next one. Because for every new dream you dream, you increase the odds that your monthly allotment of one-in-a-million long shots will be the one for which you've been waiting. It's this lesson, not the one about grindstones that I want to teach the children in my life.

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Hi, I'm Teacher Tom and this is my podcast! If you're an early childhood educator, parent of preschoolers, or otherwise have young children in your life, I think you'll find my conversations with early childhood experts and thought-leaders useful, inspiring, and eye-opening. You might even come away transformed by the ideas and perspectives we share. Please give us a listen. You can find Teacher Tom's Podcast on the Mirasee FM Podcast Network or anywhere you download your podcasts.

I put a lot of time and effort into this blog. If you'd like to support me please consider a small contribution to the cause. Thank you!

"The Mind at Three Miles Per Hour"

"The Thinker," Auguste Rodin (The worst possible way to think?)

"(S)it as little as possible," writes German philosopher Friedrich Nietzsche, "do not believe any idea that was not born in the open air and of free movement."

Nietzsche was notorious walker and hiker, a man seemingly always on the go, yet he's known as a thinker, one of the most influential of the 19th century, a mustachioed ponderer of the big questions about life and the universe. 

He's not the only one of our great "brainiacs" to credit their bodies with their best thinking.

Essayist Rebecca Solnit, one of today's prominent thinker-walkers, writes in her book about walking, Wanderlust, under the inspired chapter title, The Mind at Three Miles Per Hour, "Children begin to walk to chase desires no one will fulfill for them: the desire for that which is out of reach, for freedom, for independence from the secure confines of the maternal Eden." 

"Exploring the world," she writes, "is one of the best ways of exploring the mind."

There are exceptions, of course, but humans, from Socrates to Virgina Woolf to Richard Feynman, have understood that brains work best while bodies are in motion. That is until our current era of schooling in which our children, despite their Devine urge to move, are trained from an early age that their thinking is best done while seated, assembly-line style, quietly, listening passively, and moving only when told, and then, only in approved ways. It defies everything we know about how human minds work, and an hour of PE is not going to fix what's wrong, although more recess -- a lot more recess -- might.

Neuroscientist Patrick House asserts that "the entire purpose of the brain is to make efficient movement from experience, and everything else, including consciousness, is downstream of these efforts."

We must be taught to sit quietly because it goes against the very nature of life itself. Our brains are a part of our bodies and bodies are meant to move, preferably at three miles per hour. It's even better when that movement happens outdoors. 

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Hi, I'm Teacher Tom and this is my podcast! If you're an early childhood educator, parent of preschoolers, or otherwise have young children in your life, I think you'll find my conversations with early childhood experts and thought-leaders useful, inspiring, and eye-opening. You might even come away transformed by the ideas and perspectives we share. Please give us a listen. You can find Teacher Tom's Podcast on the Mirasee FM Podcast Network or anywhere you download your podcasts.

I put a lot of time and effort into this blog. If you'd like to support me please consider a small contribution to the cause. Thank you!

Our Schools Have a Boredom Problem

When I talk to adults about their years of schooling, they rarely talk about what they learned in math class. They talk about teachers. They talk about their social life. And at some point almost all of them talk about the boredom. 

Boredom researcher John Eastwood from York University in Canada defines boredom as "The aversive experience of wanting, but being unable to engage in satisfying activity." He and others have found that boredom is linked to, and in some circumstances potentially the cause of, depression and anger, pathological gambling, bad driving, sensation seeking and impulsivity, and lowered levels of self-actualization. This is unsurprising because, after all, the feeling of boredom is very similar to the symptoms of clinical depression -- emptiness, sadness, lack of focus, limited attention span, apathy, and lethargy.

Other researchers believe that boredom provides the important function of motivating people to engage in activities that they find more meaningful than those before them. It is a spur to creativity. This is the thinking behind those who urge parents to "let your kids get bored" over summer or holiday breaks.

So, it seems that some amount of boredom is a good thing, but too much is potentially harmful. This is an important thing to think about when it comes to standard schooling. Because teachers are charged with administering a particular curriculum to all children, whether they are interested or not, we too often place our children in a position of boredom from which there is no escape. If they try to engage in activities that are more meaningful, like fidgeting, goofing off, or trying to change the subject, which is apparently the evolutionary purpose behind boredom, we reprimand and punish them.

Many teachers go to great lengths to make the curriculum interesting in an attempt to curb boredom and many children ultimately figure out how to take an interest for the same reason. But for many children, the boredom begins to affect their mental health.

When I was a boy, adults would tell me, "Only boring people get bored" in an attempt to shame me out of my boredom. There's a lot of that in our society, this idea that experiencing boredom too often is some kind of character flaw. This is how we shift the blame onto individuals rather than admit that our schools have a boredom problem. And it's a problem for children when they have no way out.

This is a problem that self-directed learning (or play-based learning) will never have because when boredom arises, the children have options, as nature intended.

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Hi, I'm Teacher Tom and this is my podcast! If you're an early childhood educator, parent of preschoolers, or otherwise have young children in your life, I think you'll find my conversations with early childhood experts and thought-leaders useful, inspiring, and eye-opening. You might even come away transformed by the ideas and perspectives we share. Please give us a listen. You can find Teacher Tom's Podcast on the Mirasee FM Podcast Network or anywhere you download your podcasts.

I put a lot of time and effort into this blog. If you'd like to support me please consider a small contribution to the cause. Thank you!

How to Raise Ethical, Caring Children

Most of us want to raise children who are ethical and caring. Indeed, when surveyed 96 percent of us say that this is a "very important, if not essential" parenting goal. I've not seen the numbers for teachers, but I would assume that a super majority of us feel likewise. If nothing else, we want the future to be populated with adults of character and we believe it begins with us, the adults responsible for the rearing and education of children.

Unfortunately, a full 80 percent of youth surveyed say that they are more concerned with "achievement" or "happiness" than with caring for others. Not only that, but eight in 10 also say that their parents and teachers feel the same way. And to put the cherry on this ugly cake, teachers, by the same percentage, perceive that the parents of their students value achievement over moral character. In other words, we are, as parents and educators, quite consistently sending our children a message we don't want to be sending.

Ironically, most research also shows that lack of caring for others leads to humans being less successful and less happy.

We are living in a time in which one in five children are suffering from a diagnosable mental illness. Our schools have become increasingly academic, where our children are being judged, daily, by their ability to pass tests and otherwise regurgitate facts on command, while their "free time" is being gobbled up by homework and resume-building extracurriculars. Our policymakers increasingly emphasize the economic importance of schooling, while ignoring the fundamental role education plays in building the character traits necessary to productively and cooperatively participate in the democratic process of self-governance. Despite our stated intentions, we are raising a generation of children who feel disconnected from their fellow citizens, who are pitted against one another at younger and younger ages, and who are urged to "race to the top," a metaphor that naturally places one's fellow humans a step below. 

I'm not the only one who has pointed this out, of course, and there are countless attempts underway to "teach" empathy, compassion, and caring. The Atlantic article to which I've linked here, quotes experts saying that parents and teachers ought to redouble their efforts to "give their children opportunities" to be helpful and caring, one even going so far as to encourage "repetition," the hallmark of the sort of rote learning that characterizes so much of our "achievement" focused educational systems, as if it is just another subject to be included in a pre-packaged curriculum.

We don't need any more curricula. We don't need any more subjects to be graded or judged by adults. Trying to "teach" caring for others is doomed to failure. I mean, think how most children feel about the "subjects" we already teach. Do we really think that we should teach caring the way we teach math or English?

The way children learn to care for others is through example and practice. If we truly want our children to help others, then we must role model it. They must see that we genuinely do prioritize caring over achievement because right now they clearly perceive we are just giving it lip service. 

Secondly, we must set children free to actually practice being helpful and caring which means we must stop pitting them against one another like combatants in some sort of reality TV program and leave them free to engage with the world as human beings rather than cogs in an achievement machine. Human beings are born to connect with one another through helping one another. Children as young as 14 months consistently demonstrate the drive to help others without the expectation of anything in return. Over the course of the past two decades, I've watched young children, through their play with one another, discovering the joy and intrinsic rewards that comes from caring deeply for one another, cooperating, and finding the joy of being not better than others, but rather a contributing member of a community.

Caring for others is not not something that can be "taught." It must be experienced. It must be discovered. If we really want our children to be ethical, empathetic, compassionate, and caring, we must step back from "teaching" and "parenting" and instead be the change we want in the world, while providing our children the freedom to be that change as well.

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Hi, I'm Teacher Tom and this is my podcast! If you're an early childhood educator, parent of preschoolers, or otherwise have young children in your life, I think you'll find my conversations with early childhood experts and thought-leaders useful, inspiring, and eye-opening. You might even come away transformed by the ideas and perspectives we share. Please give us a listen. You can find Teacher Tom's Podcast on the Mirasee FM Podcast Network or anywhere you download your podcasts.

I put a lot of time and effort into this blog. If you'd like to support me please consider a small contribution to the cause. Thank you!

"As You Make-Believe, You Will Begin to Believe"

The three girls were in a sort of irritable stew. They were bickering with one another like it was a stereotypical family holiday dinner, moping, whining, and fussing.

Action seems to follow feeling, but really action and feeling go together; and by regulating the action, which is under the more direct control of the will, we can indirectly regulate the feeling, which is not . . . Thus the sovereign voluntary path to cheerfulness, if our spontaneous cheerfulness be lost, is to sit up cheerfully, to look round cheerfully, and to act and speak as if cheerfulness were already there. If such conduct does not make you soon feel cheerful, nothing else on that occasion can. So to feel brave, act as if we were brave, use all our will to that end, and a courage-fit will very likely replace the fit of fear.  ~William James

One of them began to spin in circles, at first, it seemed, in frustration. The other two stepped back, wary, but still sparring. The spinning girl began to chant, "I'm having fun now . . . I'm having fun now . . . I'm having fun now . . ."

How do you get yourself to a point of believing? Start make-believing. Be like a child, and make-believe. Act as if you have it already. As you make-believe, you will begin to believe you have received. ~Rhonda Byrne

The other girls continued debating over some finer point of their play until one of them began to stomp away. As she did, she passed closely by her spinning friend who reached out and grabbed her arm. She stopped spinning for a moment to look into her face and say, "I'm having fun now." The two started to laugh, then spin together, their chant now altered to reflect a new reality: "We're having fun now . . . We're having fun now . . . We're having fun now . . ."

Men acquire a particular quality by acting a certain way. ~Aristotle

Now there were two girls spinning together, chanting feverishly, wildly. One girl was still holding on to her irritability, still trying to get the others to listen to her whinge, but they were too busy having fun to hear her. She stood outside the "fun" for a moment in silence. Then she made a choice; I saw it in her face, and she too began to to spin and chant, "We're having fun now . . . We're having fun now . . . We're having fun now . . ."

And they were.

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Hi, I'm Teacher Tom and this is my podcast! If you're an early childhood educator, parent of preschoolers, or otherwise have young children in your life, I think you'll find my conversations with early childhood experts and thought-leaders useful, inspiring, and eye-opening. You might even come away transformed by the ideas and perspectives we share. Please give us a listen. You can find Teacher Tom's Podcast on the Mirasee FM Podcast Network or anywhere you download your podcasts.

I put a lot of time and effort into this blog. If you'd like to support me please consider a small contribution to the cause. Thank you!

"We're All Scientists"

A while back, I was chatting with an artist, a painter, at her studio and gallery, discussing her process. I always ask artists about their process because I'm forever trying to steal their ideas and figure out how to convert them into preschool art explorations.

When I told her I'm a preschool teacher, I added, "All our art is process art. It's really just science." And she replied, 'That's how every artist approaches their work. We're all scientists."

Whether an educator, parent, or just, you know, a human being, it pays to be curious about process.

For instance, some time ago, I came across this video:



My initial thoughts were, "Way cool" and "There is no way to make this into a manageable, affordable class room project." It was at about this time, however, that I received some shelving I'd ordered that came with far too much packaging. In fact I wound up with something like 60 pieces of perfectly good corrugated cardboard cut into nice 12" X 10" pieces that had been stuffed into the boxes to fill up the empty space. That's when it began to occur to me that if the "tall" part were short enough, the paint thick enough, and the pouring containers small enough, it just might work.

So I got to work with our "third teacher," the environment.

I had several pieces of scrap 2"X2" cedar around the school which I cut into 2" to 3" lengths. I then hot glued them to the center of the cardboard. I wanted to thicken up the tempera paint so it wouldn't run all over the place, plus reduce the cost, and white glue seemed like the perfect answer, so I pre-mixed roughly 3 parts glue to 1 part paint. And finally, to increase the odds that the "paint" wouldn't just run right off the cardboard and onto the floor as it dried, we used small specimen cups to control the quantity the children had for each pour. 

Then, "Go!"

The kids didn't always stick to pouring on top of the wood and, naturally, there was other kinds of experimenting, like mixing our own custom colors (primarily "preschool gray," which is what you get when you try to mix a "rainbow").

I'd removed all the chairs, thinking the kids would have better "aim" on their feet, but several chose to work sitting anyway. 

We were so engaged that we took the project outdoors and kept going.

I'd call this a success, even though the dried pieces, which we scattered around the classroom on every available horizontal surface, adhered themselves to the table tops in such a way there were only a few left to take home on the following day. But that's hardly the point. The kids were entranced by watching how their paint flowed, oozed, and mixed, and that's the point. They got to tinker with the idea which is where the learning takes place.

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Hi, I'm Teacher Tom and this is my podcast! If you're an early childhood educator, parent of preschoolers, or otherwise have young children in your life, I think you'll find my conversations with early childhood experts and thought-leaders useful, inspiring, and eye-opening. You might even come away transformed by the ideas and perspectives we share. Please give us a listen. You can find Teacher Tom's Podcast on the Mirasee FM Podcast Network or anywhere you download your podcasts.

I put a lot of time and effort into this blog. If you'd like to support me please consider a small contribution to the cause. Thank you!

It's What Our Playing Children Know

Paleontologists now think that animal life first evolved on our planet 789 million years ago, although as the research continues it's likely that this oddly specific number will be supplanted. As most of us are aware, it was some time later than animals began to appear on land in the form of ancient "millipede." We currently believe that those early pioneers dragged themselves from their watery home more than 420 million years ago and there has been life on land ever since.

I like to think about the first animal to brave the land. What was it doing? Was it looking for food? Maybe. Maybe right there at the edge of the water there was, say, some particularly tasty fungi (which had already been around for some 1000 million years) or land plants (which had evolved 300 million years earlier). But why did this animal venture so close to shore in the first place? Maybe it was chased there by a predator, then, since it was already there in the shallows, something, some urge made it hunt around. Maybe there was some sort of decaying matter stuck to some rocks in the tidal zone that it followed from the water onto the land. Or, more likely, that early arthropod found itself on dry(er) land when the tide went out. The will to live then made it innovate the use of its multitude of tiny little fins to drag itself, painstakingly into a tidal pool where it bided its time, munching on land food, until the tide came back in.

Of course, there had likely been countless other animals that had, for whatever reason, come ashore, but this was the one who survived . . . And then, despite not have the lungs or legs for it, decided to try it again. I mean, this was a creature that had evolved to live out its life in the salty sea, but there was something about land that appealed to it. Maybe it was that there were no other animals out there seeking to eat it. A predator-free zone might have been just the ticket as the seas were becoming increasingly crowded with larger carnivorous beasts. Whatever the case, it came back, which was what set it apart from all the millipedes that came before it, and it brought some of its friends with it.

Evolutionary theory tells us that this isn't actually how it happened. My theoretical individual was, in reality, thousands, if not millions of generations of millipedes, but the metaphor, I think, is still worth considering. The first animals to emerge onto land may have found themselves there by some accident of fight-or-flight, or the pangs of hunger, but what made them come back, what made them press forward, what made them ultimately into the ancestors of humans (not to mention every other land species) was that once they'd escape the predators, once they'd sated their hunger, something made them fart around.

In yesterday's post, I mentioned science journalist David Toomey's new book Kingdom of Play. In it, he reminds us of Stanley Kubrick's own metaphor about ancient animals farting around: "(A) man-ape sits idly among a field of tapir bones. He has no evident purpose; he is only mildly interested in seeing what happens when bone strikes bone. He is playing. But then he discovers that when he brings a thigh bone down with enough force, it can break and shatter other bones. He has a sudden epiphany: the bone may be used as a weapon."

In the Grateful Dead's song Black Peter, Jerry Garcia sings, "I see now how everything leads up to this day." This is how we often understand evolution because looking back it all makes sense, but in reality, as it happens, the process of evolution has no sense at all. What amazes us, I think, and what makes many of us doubt evolution as a theory, is that it seems impossible that all of this (imagine me sweeping my arm to indicate the earth, mountains, sky, and all they contain) could have emerged without a plan or a guiding force with a plan. But to me, the vision of existence offered by evolution is even more amazing for it being, as Toomey points out in his book, entirely purposeless. What a wonderful, beautiful, thing to consider that all of this is the product of plants and animals farting around, which is to say playing.

Both evolution and play are, in the moment, purposeless, yet when we step back we see that they both serve as mechanisms through which life itself happens. The late great author Kurt Vonnegut asserts, "We're here on this earth to fart around, and don't let anybody tell you different." Increasingly, it seems that this might stand among the most universal of truths.

There probably never was an individual millipede that farted around the seashore, used its fins as feet, then became a role model for its friends. And it's highly unlikely that a single vaguely curious man-ape invented weaponry. But there is little doubt that the stories we tell ourselves about "progress" or "learning" are really just accidents of our perspective, looking to the past to "seeing now how everything leads up to this day." But all of this, right now, is just farting around. It's what our playing children know if we would just let them show us.

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Hi, I'm Teacher Tom and this is my podcast! If you're an early childhood educator, parent of preschoolers, or otherwise have young children in your life, I think you'll find my conversations with early childhood experts and thought-leaders useful, inspiring, and eye-opening. You might even come away transformed by the ideas and perspectives we share. Please give us a listen. You can find Teacher Tom's Podcast on the Mirasee FM Podcast Network or anywhere you download your podcasts.

I put a lot of time and effort into this blog. If you'd like to support me please consider a small contribution to the cause. Thank you!