Rewilding Mathematics

One of my favorite ways to play with mathematics is through shadow and light.

I still feel childlike wonder when I notice the leaning of shadow shapes, even though they are cast by objects with straight edges. That noticing immediately generates questions. What is the angle of the light? How does distance matter? What role does transparency play? How does light travel? If shadow is the absence of light, is absence itself a thing?

Most people end such a moment with, "Whoa, that's cool," and move on. But what happens if you follow just one of those questions? What happens if you stay?

This is the true dwelling of mathematics. Not in answers, but in sustained noticing. Time and context matter deeply. The same question followed in a different season, place, or year reveals a different story. Shadows stretch, rotate and dissolve. Change is constant, which makes prediction, adaptation, and strategy fundamental.

Each person who follows a question brings the unrepeatable pattern of themselves. Their history, their body, their language, their values. Despite infinite approaches, mathematics, attended to carefully, keeps returning us to shared ground.

And yet something has been taken from us.

What once lived in open spaces, shaped by seasons, risk, survival, and wonder, has been yoked. Mathematics has lost much of its wildness, beauty, and power. There are places it is no longer allowed to wander and people it is no longer allowed to befriend.

The mathematics most of us know lives in captivity. Domesticated. Like cattle or cabbage, we have learned certain relationships with it. We beat it, flaunt power over it, endure it, optimize it for gain, manipulate it to our advantage, or simply avoid it altogether.

JoyMath begins with a different premise.

While domesticated math offers universal truths through a single, narrowing path, wild mathematics holds universal truths and wildly personal journeys.

Mathematics did not begin in schools.

It emerged wherever humans gathered. To distribute resources, track seasons, build shelters, tell time, navigate land and water, and uphold agreements. Math was once inseparable from civic life.

But wherever power concentrates, tools follow.

Those who controlled resources learned to manipulate quantities, balances, and measures. Over time, mathematics shifted from shared sense-making to a tool of sorting and control. Systems arose that divided people into categories: competent or deficient, worthy or unworthy, belonging or excluded.

A story took hold: Access must be earned. Some people are "math people," others are not. Struggle is failure and confusion is your fault.

These stories persist not because they are true (they are not), but because they are useful to power; to gatekeep, to justify inequality, to stabilize hierarchies. The myth of mathematical neutrality has concealed real consequences. Math has stopped being something people do together. Instead it has become something done to us or withheld from us.

Modern systems are built to optimize efficiency, profit, compliance, scalability, and control. Mathematics survives inside these systems only by shrinking to fit.

In schools, math is reduced to content to be delivered, measured, and sorted. Understanding collapses into right or wrong. Speed masquerades as brilliance. Curiosity slows the machine with its tangents and meandering, so it's trained out. Anything that cannot easily be measured is treated as if it doesn't exist.

In economics and governance, decisions get made first, then numbers are brought in to make them look inevitable. Data that protects existing power is called neutral and true. Data that reveals harm or uncertainty gets questioned, buried, or ignored. Complexity disappears. And when complexity disappears, so does accountability. This is mathematics made deceptive. A force turned against the very people it could serve.

Those who question the math are told they misunderstand it, or that they're not qualified to speak.

That silencing is not the nature of mathematics. It is the nature of captivity.

Math in a cage is only a shadow.

Wild mathematics is an endangered species. It still exists, but we no longer seek it out. We've lived with its domesticated form for so long that we've forgotten it knows how to dance. That it spirals into shells and galaxies, pulses through heartbeats and tides, then doubles back on itself in ways that take your breath away.

Many efforts try to give math a new image, but changing how math behaves inside cages of domination requires changing the entire system…and systems resist change.

You can't rewild an animal by repainting the zoo.

You can't rewild math by animating its mutilated form.

Rewilding mathematics means something different.

It means creating environments where math can live fully again. Outside rigid optimization, before assessment, and beyond permission.

If people only ever experience animals in zoos, they assume animals never run.

If people only ever experience human labor, they assume humans never laugh.

If people only ever experience plants in pots, they assume plants live alone.

And if people only ever experience math in schools or on spreadsheets, they assume math is sterile, joyless, and owned by experts.

Wild mathematics is none of these things.

In the wild, mathematics appears everywhere: in the cycle of seasons, phases of the moon, and life's circular stages. It's in the structures of shells, hives, and nests. It's in populations that migrate, bloom, collapse, and recover. It's found in the resilience of bamboo bending without breaking and in a child redirecting water with rocks, just to see what happens.

Wild mathematics is plural. It is ecological. It thrives on interaction. It is for anyone and everyone.

Anyone can notice patterns. Anyone can ask questions. Anyone can test, revise, adapt, or tell a story with numbers and shapes. No title confers this right. No authority grants entry. Like each of us, mathematics does not require permission to exist.

It requires engaged, relational presence. That's it.

Many of us have learned to speak about math as a form of self-protection.

"I hate math."

"I was never good at math."

"I had really bad experiences with math."

These are not casual opinions. They are adaptive stories. Ways of creating distance from something that felt humiliating, confusing, or unsafe. When an environment consistently pairs learning with shame (your pace is wrong, your thinking is wrong, you just aren't getting it, get out of the way for somebody else's answer), aversion becomes an intelligent response. Stepping away is how people survive.

This is identity entrapment. And it has fundamentally altered our relationship with mathematics.

Seen this way, these statements aren't indictments of mathematics at all. They are signals of captivity. They are alarms naming a relationship shaped under constraint.

What if, instead of treating these stories as fixed truths about who we are or what math is, we held them with compassion? What if we recognized them as evidence of harm, not a truth about our ability, and allowed the possibility that both we and mathematics might behave differently under different conditions?

To rewild mathematics, we must change the story we tell ourselves:

That math belongs to all of us.

That struggle is opportunity, not failure.

That explanation is dignity, not suspicion.

That revision is evidence of intelligence.

That participation is not granted by authority.

That math is a tool for seeing, repairing, and caring.

When this story changes, mathematics can move and breathe again, expanding into its full capacity. Deep enough to hold scrutiny, open enough to invite curiosity, wide enough to support collective sense-making.

Math helps us notice patterns that heal and patterns that harm. It helps us care for people, places, and systems. It supports civic responsibility and shared power.

That is precisely why domination systems fear it.

When people can see patterns clearly and justify claims publicly, power must become accountable. The story we inherited is neither inevitable nor true.

Changing the story is a necessary civic responsibility.

Mathematics is wild.

It does not hand you answers. It invites you to follow. Through patterns, inconsistencies, and questions that refuse to stay still. If you stay long enough, with patience and curiosity, it will show you where the world bends and where it holds.