They Called Themselves Mathematicians

On Friday mornings this year, I volunteered to teach math in a PreK classroom. We used Humanizing Mathematics PreK-5 from Open Up Resources, a program I'd helped shape on the strategy side.

One of the very first norms we learned was “Mistakes are a Gift”. It's a norm we sat with weekly on the carpet: how getting something wrong is actually your brain growing, how the struggle is the part that's doing the work. I'd written about this idea, presented on it, built it into materials. I knew it cold on paper.

Then one day, months in, we hit a hard pattern. AAB, over and over, and one of my students could not get it to click. He was stuck, and frustrated, and right in the middle of it he stood straight up and announced to the entire class:

"My brain is growing so much right now I can't even believe it."

He wasn't performing. He was four. He genuinely could not believe how much growing was going on in there. And I stood at the back of that classroom a little undone, because that is the thing I'd spent years trying to put into a curriculum, and a four-year-old had just said it better than any document I'd ever touched.

I had never taught children this young. I spent almost my whole career in seventh grade, and I walked into that PreK room assuming I'd be the one with something to teach. Instead I spent most of my Fridays outpaced.

What struck me wasn't that they were cute, though they were. It was how little convincing anyone needed. Nobody had to talk them into being curious. Nobody had to build their confidence first, or sell them on why the day was worth showing up for. They walked in assuming there was something good in it for them, and they were usually right.

They raised their hands before they had the answer. They guessed out loud. They were wrong constantly, and it didn't slow them down even a little. Being wrong wasn't a verdict on who they were. It was just part of finding out.

Which is what made the contrast so hard to ignore.

By seventh grade, where I'd spent all those years, a lot of that is gone.

By then I was often meeting students who had already decided things about themselves. That they weren't math people. That they weren't readers. That they weren't smart, or that school wasn't really built for someone like them. Twelve years old, and already certain.

A real part of my job as a seventh grade teacher wasn't teaching content. It was trying to undo a belief before I could teach anything at all.

I'm not saying this to point a finger, including at myself, and I was part of those years. I'm saying it because I can't stop asking the question. Where does it go? Somewhere between four and thirteen, a lot of kids learn that school is something to get through rather than something to be inside of. That's not a thing children arrive with. It's a thing they learn. Which means somewhere along the way, we teach it.

We tend to treat joy as the reward. Learn the thing, do the work, behave, and if there's time left at the end, maybe we'll make it fun. Joy as the prize for compliance.

I think we have that backwards.

Joy isn't the reward for learning. It's part of how learning happens. The four-year-olds learn fast partly because they'll risk being wrong, partly because they expect to be surprised, partly because they haven't yet been taught to perform certainty instead of curiosity. That willingness is not decoration. It's doing structural work.

And I want to be precise here, because joy and fun get treated as the same thing, and they're not. Fun is a feeling about an activity. Joy is what happens when a person gets to be a real participant in their own learning, when their ideas count and their thinking goes somewhere. You can run a fun classroom that teaches almost nothing. You can run a deeply joyful one that is rigorous and genuinely hard. The hard part is often where the joy lives.

Here's the part that should sit uncomfortably.

This kind of learning is not handed out evenly.

The students who most need classrooms where it's safe to be wrong, where ideas get turned over, where they get to see themselves as capable, are often the least likely to get them. When we decide a school is behind, our instinct is to narrow it. More drilling. More compliance. More getting through the material. The exploratory, curious, risk-friendly learning quietly gets reserved for the kids we've already decided are doing fine.

So joy starts to look like a privilege. The students with the most cushion get to play with ideas. The students with the least get told to sit still and catch up.

That's why I've stopped thinking of joy as a nice-to-have. Joy is not separate from whether school is fair. It's part of what fairness looks like.

On one of my last Fridays, a few of the students asked me if I'd be coming up to teach math in Kindergarten too. They wanted to know so they could keep being mathematicians.

That was the word they used. Mathematicians. At four and five, with full confidence, about themselves.

I left thinking the question wasn't the one I'd assumed.

For a long time I thought the work was creating joy in learning. Building it, sparking it, engineering ways to make kids care. And there's a version of my whole career that's exactly that, including the norm I helped write. But "mistakes are a gift" didn't manufacture that boy's willingness to struggle in front of his classmates. The willingness was already his. All the norm did was refuse to punish it, and give it words.

Because four-year-olds already have the joy. So do thirteen-year-olds, before we get to them. Nobody has to install curiosity in a child. They call themselves mathematicians without being asked.

And then, somewhere between that classroom and seventh grade, they learn to stop.

Which means the real question was never how we create joy.

It's how we stop taking it away.

Not because content doesn't matter. Because joy is so often the thing that makes the content possible in the first place.