Learn the 3 frameworks math leaders can use to design effective math professional development that leads to real classroom change, teacher adoption, and lasting instructional improvement.
Effective math professional development should change what teachers do in classrooms—not just what they think during a workshop.
Yet many math leaders have experienced the same frustrating pattern. You design a thoughtful professional development session. Teachers engage in the conversation. Heads nod around the room. The ideas make sense.
And then… nothing changes in classrooms.
If you’ve ever planned math professional development that felt great in the room but produced little lasting impact, you’re not alone. And you’re probably not doing anything wrong. More often than not, the issue is that the professional learning design is missing a few critical elements that research tells us are necessary for real change.
In a recent conversation with a PhD student preparing to lead professional development in mathematics, we unpacked this exact challenge: what actually makes math professional development effective?
Not just engaging. Not just informative.
But capable of shifting instruction, changing practice, and improving student outcomes.
That conversation surfaced three frameworks we rely on when designing math improvement work with schools and districts. They’re simple, but powerful. And once you see them, they change how you approach professional learning forever.
What Makes Math Professional Development Effective?
Effective math professional development typically includes three critical design elements:
- It addresses both the logical and emotional sides of teacher change.
- It supports the full adoption process for new instructional practices.
- It treats professional development as learning—not just information delivery.
The three frameworks below help math leaders design PD experiences that actually lead to classroom change.
Framework 1: The Elephant, the Rider, and the Pathway
The Science Behind the Metaphor
This framework is rooted in the work of psychologist Daniel Kahneman, who described two systems of human thinking: a fast, emotional, automatic system and a slow, deliberate, rational system. In the book Switch, Chip and Dan Heath turned this into one of the most useful metaphors for understanding why change is hard—and how to make it easier.
Picture an elephant moving through a forest. There’s a rider on top, and ahead of them is a pathway. The rider wants to go down that pathway. But whether they actually get there depends entirely on the elephant.
The elephant represents the fast, emotional side of the brain—your instincts, fears, desires, and gut reactions. It’s big, it’s powerful, and when it decides it doesn’t want to move, no amount of logical argument is going to change that.
The rider represents the slow, rational side of the brain—the part that processes data, weighs evidence, and makes deliberate decisions.
The pathway is the behavior change or instructional shift you’re trying to guide teachers toward.
Both the elephant and the rider exist inside every teacher sitting in your professional development session.
Teachers are not rational robots who will adopt new practices simply because the research says they should. They bring experiences with previous initiatives, fears about student outcomes, concerns about curriculum pacing, and questions about whether the strategy will work in their specific classroom.
Why Most Math Professional Development Plans for the Rider and Ignores the Elephant
When most math leaders design math professional development, they build the case for the rider. They pull out the research. They show the data. They make a compelling logical argument for why this instructional shift is the right move. And in the room, everyone’s rider is nodding: “Yes, the research supports this. This makes sense.”
But then nothing changes.
Why? Because no one addressed the elephant.
The elephant is sitting there asking: What if I can’t cover all my curriculum while trying something new? What if my students can’t handle it? What if I look foolish? What if this is just another initiative that disappears in three years?
If you don’t directly address those fears—if you don’t motivate the elephant—the elephant isn’t going anywhere. The rider might agree with you completely, but without the elephant’s cooperation, nothing moves.
The Three-Part Design Principle For Effective Math Professional Development
Effective math professional development must do all three things:
Direct the Rider: Make the case with research, data, and clear rationale. Help teachers understand why this shift matters and where it’s headed.
Motivate the Elephant: Name the fears. Acknowledge the barriers. Validate the concerns. Help teachers feel that the pathway is safe, that others have walked it, and that they can too.
Clear the Pathway: Make the next step easy. Give teachers the tools, templates, lesson plans, or protocols that remove friction and lower the barrier to getting started.Reflection for Math Leaders: Think about your last math PD session. Did you direct the rider, motivate the elephant, AND clear the pathway? Or did you focus mainly on the research and expect teachers to figure out the rest?
Framework 2: The Four Components of Teacher Adoption
Even when teachers leave a math PD session feeling energized and convinced, most new practices still don’t make it into daily instruction. That’s because believing in something isn’t the same as doing it consistently. For a strategy to become a regular part of a teacher’s practice, four things need to happen—and most PD only addresses one or two of them.
Component 1: It Has to Make Sense
The strategy must be relevant and logical for this teacher, in this context, with these students. This is the rider component—you have to establish the why. Does this approach fit the curriculum, the grade level, the learning goals? Without this, nothing else matters. Teachers are professionals, and they know when something is being handed down without context.
Component 2: They Have to See It in Action
Talking about a strategy is very different from experiencing it. Teachers need to see the practice modeled—whether live during a PD session, through video, or in a colleague’s classroom. And ideally, they need to experience it as a learner themselves.
There’s a common hesitation here: facilitators worry that modeling feels condescending or wastes time. But people who participate in a modeled experience almost always say they’re glad they did. Without seeing it in action, the practice doesn’t take root. When possible, the most powerful version of this is watching the strategy work with their own students—nothing builds belief faster.
Component 3: They Have to Believe They Can Do It
This is where the elephant shows up again. Even when something makes sense and teachers have seen it done, many still think: That works for other teachers. But not for me. Not with my students.
This is one of the most common barriers to math instructional change, and it requires deliberate attention. Address it by sharing stories of teachers who started exactly where this group is now and made the shift. Show before-and-after examples of what instruction looked like. Use student work or video to show what becomes possible. Give teachers a small, low-stakes first step that lets them experience early success. Model the practice for them. Model the practice in their classroom with their students.
Belief in oneself is often the final barrier between a great PD session and actual change in classrooms.
Component 4: Continued Follow-Up Support
This is the component that accounts for 80–90% of whether a new practice actually becomes part of a teacher’s regular routine. And it’s the component most PD models skip entirely.
One-off sessions—”drop in, drop knowledge, walk away” PD—can address the first three components reasonably well. But without ongoing support, most teachers return to their classrooms, get swept up in daily demands, and the new practice fades. Research suggests only about 10% of what’s presented in a standalone session gets implemented—and that’s mostly by teachers who were already on board.
Follow-up support means getting into classrooms consistently: coaching cycles, co-planning, observation with feedback, collaborative reflection. It means giving teachers space to practice, make mistakes, try again, and get support as they go. Large-group PD is a critical starting point, but it has to be understood as the beginning of a learning journey—not the whole thing.
Framework 3: Teaching and Learning Are the Same Thing
In some languages—Swedish, for example—there is a single word that encompasses both teaching and learning. You cannot claim to have taught something if no one learned it. This idea sits at the heart of how we approach math improvement, and it’s where so many well-intentioned PD efforts fall short.
The “I Taught It” Trap
In North America, we have a habit of separating teaching from learning. A teacher delivers content; whether students learn it is treated as a separate question. The same pattern shows up in professional development. A facilitator runs a session. Whether participants actually learned—whether their thinking shifted, whether they’ll do something differently on Monday—is rarely measured. The session happened. That’s enough.
But it’s not enough. Not if the goal is real change.
What Assessment Looks Like in Effective Math Professional Development
We encourage every math leader to approach math PD design the same way we ask math teachers to approach lesson design: with a clear learning goal and a clear way to know if that goal was reached. Before you plan your next session, answer these questions:
- What is the specific learning goal? What should participants know or be able to do differently when they walk out the door?
- What does success look like? What will it look and sound like when participants have got it?
- How will you know if they got it? What’s your “exit ticket” for the session?
- If they didn’t get it, what happens? Is your next session flexible enough to go back before moving forward?
When you build PD this way—with success criteria, formative checkpoints, and the willingness to adjust—you stop treating PD as content delivery and start treating it as genuine learning design.
Connecting Professional Development to a Clear Math Vision
This framework also connects to something bigger: the importance of having a clear, well-communicated math vision for your school or district. When every session is tied to a shared long-term vision, teachers stop seeing math PD as random initiatives that appear and disappear. They start to see each session as a piece of a coherent journey—one that’s building toward something they actually believe in.
Teachers know the difference between disjointed efforts and intentional design. When PD feels connected—building on what came before and setting up what comes next—teachers arrive curious, not cynical. They bring questions, not eye-rolls.
A question worth asking: What is the long-term math vision in your school or district? If every professional development session this year connects to that vision, what would change about how you plan—and how teachers experience—each session?
Putting the Three Frameworks For Effective Math Professional Development Together
These frameworks aren’t independent—they work together as an integrated design system.
The Elephant, Rider, and Pathway reminds you to plan for the whole person—not just their rational mind. Address fears, make the case, and lower the barrier to action.
The Four Components of Adoption give you a checklist for what teachers need to truly internalize a new practice: it makes sense, they’ve seen it, they believe they can do it, and they have ongoing support.
Teaching = Learning keeps you accountable to outcomes, not just effort. Build in success criteria, assess as you go, and stay flexible enough to respond to where teachers actually are.
Most math improvement efforts struggle not because the content is wrong, but because the design is incomplete. When you apply these three frameworks, you move from “I presented the information” to “I helped people learn.” And that shift—from presenter to designer of learning—is where sustainable math improvement begins.
Effective math professional development is not about delivering content. It is about designing learning that leads to teacher action, classroom implementation, and sustained instructional improvement.
Want to Learn More?
Want to design math professional development that actually leads to classroom change?Use the Math Coherence Compass Template to align your PD sessions with a clear improvement focus at makemathmoments.com/coherence, or take our free assessment to identify the highest-leverage next step in your math improvement plan at makemathmoments.com/grow.
