What should a teacher, policymaker, or concerned parent take away from a conversation with someone who’s still in it, not just theorizing from afar, but actively navigating the sharp turns and slow churn of a public school classroom?
That’s what this episode with Dylan Kane delivers. Kane isn’t a guru or a consultant; he’s a seventh-grade math teacher in Leadville, Colorado, and the author of Five Twelve Thirteen, a math education blog that’s part praxis journal, part reflection, part cognitive science lab notebook.
And here’s the thing: he’s thoughtful in the ways that matter, not just about what works, but why it works. And just as importantly, where and when it doesn’t.
We begin in the weeds. Dylan talks about the box-ticking culture creeping into classrooms: success criteria on the board, daily pacing guides, rigid adherence to scope and sequence. He’s not cynical, but clear-eyed. These aren’t evil mandates—they’re often born from a lack of time, trust, and tools. But they flatten teaching into performance. They reward the visible over the valuable.
As Dylan puts it, “Teaching is complex. Learning is invisible. So observers reach for what they can see.” Posters, objectives on the whiteboard, clean pacing—all become proxies for real learning.
And the cost? Teachers are nudged away from responsiveness, away from the child in front of them, and toward the script. Curriculum fidelity becomes not a guide but a leash.
The Rectification of Terms
The episode pivots toward one of its most important insights: teaching suffers from a lack of shared language. What is “choral response”? What counts as “retrieval practice”? Without clear terms, we talk past each other or, worse, assume agreement where none exists. Dylan invokes this as one of the field’s great bottlenecks: we cannot improve what we cannot name. It echoes Confucius’ Rectification of Names, or Munger’s insistence on “mental models” that let us navigate complexity with precision.
As Dylan sees it, the teaching profession is full of people trying to do good work, but without the shared conceptual tools to describe or refine that work. And so, we fall back on vibes or compliance.
Let Teachers Adapt
There’s a remarkable tension in Dylan’s perspective on curriculum. He believes in strong curricular materials. He even sees value in pacing guides, to a point. But he’s worried that districts have overcorrected. Fidelity becomes a substitute for judgment. Teachers are not allowed to linger, to loop back, or to take a detour that might benefit the learners in front of them.
The result? Learning becomes uninspiring. Students feel like passengers, not participants. Teachers feel like cogs, not craftsmen. And families, sensing the lifelessness, begin to push back.
Dylan’s prediction? The “fidelity fad” will fade, not through policy, but through pressure. Parents will complain. Principals will quietly relent. And teachers will reclaim some of the autonomy needed to actually teach.
Teach for Thinking, Not Just Engagement
What makes Dylan different from many voices in education is that he doesn’t cling to buzzwords. He revises his own views. “I used to think engagement was the goal,” he says. You can have flash and flair, but if students aren’t thinking about the right things, they’re not learning the right things. The trick is to guide their attention, not just entertain it.
To that end, Dylan gives practical examples: using choral response to surface misconceptions, breaking equations into steps to reduce cognitive overload, and pre-teaching foundational skills so students can meaningfully engage with new concepts.
"Learning is the residue of thought.” That quote, borrowed from Dan Willingham, becomes a kind of refrain.
Know the Puzzle Pieces and Make Them Fit
The episode closes with a rejection of tired dichotomies: knowledge vs. skills, facts vs. thinking. Dylan’s metaphor is simple: it’s all puzzle pieces. The job of the teacher is twofold: give students the pieces, and help them see how they fit.
He doesn’t romanticize the work. But he sees it clearly: day-by-day, concept-by-concept, building a lattice of understanding. That’s what math class is for. That’s what school is for.
In short: if you care about an educational practice that’s both principled and practical, this is an episode worth hearing. And if you don’t have time to listen, well, this was the residue of thinking that took place.
You can find Dylan’s writing at https://fivetwelvethirteen.substack.com/