"I don't know." These might be the three hardest words to say in education. We're supposed to be the experts, the ones with the answers. But here's what I've been thinking about: maybe the bravest thing we can do as mathematics educators right now is to embrace not knowing—and to do it out loud, in front of our colleagues and our students.

We live in a world where robots can fold our laundry and AI can write essays in seconds. Everything is changing fast, and our students are watching to see how we respond. Are we clinging to what's comfortable, or are we showing them what it looks like to grow, to struggle, to learn something new?

The Leap of Faith

Being brave in education isn't about grand gestures. It's about the daily choice to put yourself out there. It's trying a new instructional approach and knowing it might take practice to get right. It's admitting to your team that you're still figuring out the latest research. It's standing in front of your students as a learner, not just as a teacher.

And yes, it takes courage—especially when the structures around us haven't changed. We're still dealing with the same assessment systems, the same accountability measures, the same institutional inertia. That's the tension, isn't it? We're asking educators to transform learning while the system’s scaffolding stays the same.

But here's the thing: change doesn't wait for permission. Our students need us to be brave now, not after the system catches up.

What Students Need From Us

I keep coming back to this question: What if our students cared about their learning because it mattered to them, not because they were afraid of a bad grade?

That shift requires enormous courage from us—and it requires structure. This isn't about unstructured freedom or letting students do whatever they want. I'm talking about designing learning experiences where students make meaningful mathematical choices within rigorous learning goals.

Mathematical modeling is a powerful example. Students still need to learn about functions, rates of change, data analysis—all the mathematics we know matters. But instead of learning these concepts in isolation, what if students tackled problems they actually care about—climate patterns in their region, traffic flow in their community, or the economics of their school lunch program? 

The mathematics doesn't disappear—it becomes essential. It is the tool students need to investigate and solve real life challenges. They make choices about context, approach, and analysis as they use mathematics to tackle questions that matter to them.

This kind of teaching feels risky. What if they don't choose what we would have chosen? What if they struggle? What if we don't have all the answers?

Good. That's where learning lives. That's where we figure it out together.

Technology: Not Just Faster, But Different

As I watch educators grapple with AI and emerging technologies, I see two paths. One uses technology to automate processes we could already do. The other uses technology to do things we couldn't do before.

Brave educators are choosing the second path. They're not just digitizing lessons and notes or using ChatGPT to grade faster. They're having students explore dynamic mathematical relationships, tackle authentic problems with real-world datasets, and create and share their mathematical thinking in entirely new ways.

This requires us to let go of some control. To say "I'm not sure how this will turn out, but let's find out together." 

The Contagion of Joy

I believe joy in learning is contagious. When we approach our own learning with genuine excitement and curiosity, our students notice. When we share what we're struggling with and what we're discovering, we give them permission, encouragement, and the guts to do the same.

You can't fake it. Students can tell the difference between a teacher going through the motions and a teacher who's genuinely engaged in learning alongside them. So the question becomes: Are we still curious? Are we still willing to be surprised?

An Invitation to Leaders

As mathematics education leaders, we must acknowledge that our job isn't to have all the answers. Our job is to create the conditions where bravery is possible - where teachers feel safe to try, to stumble, to learn, and to try again.

That means modeling vulnerability ourselves. It means celebrating the colleague who says, "this didn't work as planned, but here's what I learned." It means making space for experimentation and bravely trying new things even when the accountability pressures are real.

The world is changing whether we're ready or not. We can be the educators who choose to embrace that change, who show our students what bravery looks like in action, who prove that learning never stops.

What would it look like in your context to choose bravery this week? What small act of courage might open up new possibilities for your students, your colleagues, or yourself?

I'd love to hear what you're thinking. Because I don't have all the answers—and I'm okay with that!

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Meet the Author

Dr. Katey Arrington

Dr. Katey Arrington is Director of Systemic Transformation at the Charles A. Dana Center at the University of Texas at Austin. She leads initiatives to advance modern and meaningful mathematics, science, and literacy education across pk-12 and postsecondary systems. She is the Immediate Past President of NCSM: Leadership in Mathematics Education and serves on the Board of Trustees for the Consortium for Mathematics and its Applications (COMAP) and just joined the Board of Directors for the Teachers Development Group (TDG). Katey has previously led work to build STEM teacher education programs across the country, served as a pk-12 mathematics district leader, an instructional coach, and educator in both K-12 and community college. Katey holds a bachelor's in mathematics, a master's in mathematics education, and a Ph.D. in educational policy and planning, all from the University of Texas at Austin, and brings deep expertise in system-level transformation and networked improvement for K–16 education.