Honest Conversations, Real Change: Leading Math Instruciton Transformation at Every Level

Let me tell you about a conversation I had with a first-grade teacher a few years ago. She was describing a boy in her class who had an IEP for math. "He just doesn't get it," she said. "Some kids are just like that with math."

Three months later, after we'd worked together on shifting her instruction, she pulled me aside. "Remember that boy I told you about? He solved a problem today in a way I never would have thought of. He explained his thinking to the whole class, and other kids used his strategy." She paused. "I was wrong about him. I wonder how many other kids I've been wrong about."

That moment captures why math instruction transformation is so hard and why it matters so much. We're not just changing what teachers do; we're changing what they believe is possible.

Why Made Initiatives Fade
Here's the uncomfortable truth: most math improvement initiatives fail. Not because the strategies are wrong, but because we avoid the hard conversations about what's really getting in the way.

I've watched districts invest hundreds of thousands of dollars in curriculum, professional development, and coaching, only to see it all fade within a few years. I've seen the pattern repeat: initial enthusiasm, some promising changes, then a slow drift back to old practices. And I've learned that this happens for predictable reasons at every level of the system.

The Real Barriers (That We Don't Talk About Enough)

At the Classroom Level: It's About Beliefs, Not Just Skills
The biggest barrier isn't that teachers don't know new strategies. It's that many don't truly believe all students can develop deep mathematical understanding.

I hear it constantly, dressed up in language that sounds more acceptable: "Some kids just need more practice." "He's not a math person." "She's great at math facts but struggles with word problems." These statements reveal a fixed mindset about mathematical ability, a belief that some people have "the math gene" and others don't.

This belief is often hidden under layers of what teachers feel they're supposed to say. In professional development, they nod along when we talk about growth mindset. But back in their classrooms, they're still grouping kids by perceived "ability," still giving some students simpler problems, still not really expecting certain kids to develop mathematical reasoning.

There's another belief issue that's even harder to address: many teachers believe that repeated practice leads to understanding. They think if students just do enough problems, comprehension will follow. But that's backwards. Insight and reflection build understanding, then practice helps maintain it.

And here's the thing: I understand where this comes from. Most teachers learned math through traditional, procedural methods. They memorized steps, practiced algorithms, and some got good at following rules. Many never experienced the kind of mathematical insight and sense-making they're now being asked to facilitate for students. How can you teach in a way that you've never experienced yourself?

There's also the challenge of letting go of control. Moving from being the "teller of information" to a "facilitator of ideas" is scary. It means allowing students to struggle, to make mistakes, to construct their own understanding rather than just showing them "the right way." For teachers who have content knowledge built on procedures themselves, this shift can feel threatening.

At the Building Level: Principals Are Drowning
I have deep empathy for principals. They're managing student discipline, teacher evaluations, parent concerns, facility issues, budget constraints, and about fifteen different district initiatives, all while trying to be instructional leaders in every content area.

When math instruction improvement is just one more thing on an impossibly long list, it doesn't get the sustained attention it needs. Principals may attend the kickoff professional development, but then they're pulled in a dozen different directions. They can't provide meaningful follow-up support because they're constantly in crisis management mode.

And here's what we don't say often enough: many principals don't have deep expertise in mathematics content and pedagogy. They might have been elementary teachers who avoided teaching math, or secondary principals whose content area was English or Social Studies. When they observe math lessons, they're looking for generic good teaching practices; student engagement, classroom management, clear objectives; but they can't recognize whether the mathematical content is being developed in ways that build conceptual understanding.

This creates a real problem. Teachers need instructional leaders who can give them specific, content-focused feedback. Without that, teachers are left to figure things out on their own, and the quality of implementation varies wildly across classrooms.

Principals also face intense pressure for quick results. When test scores are the primary measure of success and there's pressure to show improvement NOW, it's tempting to look for quick fixes: a new program, more test prep, additional intervention time. The deeper, longer-term work of building teacher capacity and changing instructional practices doesn't show immediate results, so it gets deprioritized.

At the District Level: We Keep Making the Same Mistake
Here's the pattern I've seen over and over: A district recognizes that math achievement is low. They bring in consultants, adopt new curriculum, provide initial professional development, maybe hire some coaches. Things start to improve. Everyone feels hopeful.

Then, three years later, the math coordinator takes a job in another district. Two of the coaches move into administrative roles. The professional development budget gets cut. New teachers are hired who never got the initial training. And slowly, quietly, everything fades back to how it was before.

The mistake is viewing this work as a one-and-done proposition. Districts invest in the launch but fail to build the ongoing capacity needed to sustain changes over time. They don't create pipelines for developing new math coaches and leaders. They don't establish structures to maintain continuity when individuals leave. They don't plan for sustainability from the beginning.

I worked with one district that had built an incredible team of math coaches over five years. Teachers were changing their practice, student achievement was improving, and the culture around math instruction was shifting. Then budget cuts eliminated all the coaching positions in a single year. Within two years, most of the gains had disappeared.

There's also the challenge of creating coherence across different initiatives, grade levels, and schools. Without a unified vision and consistent support structures, implementation becomes fragmented. One school leans heavily into one initiative , while another school focuses on something different, and teachers who move between buildings are confused about expectations.

And we have to talk about equity. Ensuring that all students, particularly those who have been historically marginalized, have access to high-quality math instruction requires intentional, sustained effort. But districts often struggle to address systemic inequities in how resources, experienced teachers, and support are distributed. The schools with the highest needs often have the least experienced teachers, the fewest resources, and the least stable leadership.

What Actually Works: Five Strategies for Leading Sustainable Change

After years of working with teachers, principals, and district leaders, I've learned that certain approaches actually create lasting change. None of them are quick fixes. All of them require honest conversations about real barriers.

1. Share Credible Models (Not Just Research)
Research about growth mindset and effective math instruction is important, but it doesn't change beliefs the way specific, credible examples do.

When that first-grade teacher saw her student, the one she'd written off, solve a problem in a sophisticated way, it changed what she believed was possible. When a principal observes a classroom where students who've historically struggled are engaged in genuine mathematical reasoning, it shifts their understanding of what good math teaching looks like.

I make it a point to share unexpected success stories: the whole class of students who were labeled "low" but thrived when given access to challenging problems; the teacher who was skeptical but tried one new approach and saw different results; the school that was on the state's "needs improvement" list but transformed their math instruction and their outcomes.

These stories matter because they're specific and applicable. They help people see that change is possible in contexts similar to their own.

2. Provide Teacher Learning Experiences (Not Just Professional Development About Students)
Here's what I've learned: teachers need to experience their own mathematical insights and "aha moments" before they can facilitate that kind of learning for students.

In professional development, I don't just tell teachers about inquiry-based instruction, I put them in the role of learners. I give them a problem that's challenging enough that they have to think, struggle, and construct understanding. I let them experience what it feels like when someone doesn't just tell you the answer but supports you while you figure it out yourself.

When teachers experience that moment of genuine mathematical insight, when they suddenly see a relationship they'd never noticed before, or understand why an algorithm works instead of just how to execute it, they understand what they're trying to create for students.

One teacher told me, "I've been teaching equivalent fractions for fifteen years, but I never really understood them until today. I was just following the steps I'd been taught. Now I finally get it and I realize my students probably don't get it either."

That kind of personal experience is what shifts practice.

3. Build Sustainable Capacity (Not Just Implement Programs)
The districts that sustain improvement over time are the ones that build capacity intentionally from the beginning.

They create pipelines for developing math coaches and leaders, so when someone moves to a new role, there's someone ready to step in. They establish district math committees with representatives from different schools and grade levels, creating a structure that maintains continuity even when individuals leave. They build time into the schedule for ongoing collaborative learning, not just one-shot workshops.

They also think carefully about how to support new teachers. When new staff are hired, how will they learn the instructional approaches the district has adopted? Who will mentor them? What structures will help them develop the same understanding that existing teachers have built over years?

This requires viewing capacity building as an ongoing investment, not a one-time expense.

4. Create Safe Spaces for Honest Dialogue
Real change requires honest conversations about doubts, fears, and resistance. But those conversations can only happen in spaces where people feel safe to express what they really think.

I've learned to start by acknowledging where people are in their thinking. When a teacher says, "I tried that approach and it didn't work," I don't immediately defend the approach or imply they didn't implement it correctly. Instead, I ask questions: "What happened? What did you notice? What were you hoping would happen?"

Sometimes the issue is implementation, they tried something but missed a key element. Sometimes it's about beliefs, they didn't really expect it to work, so they gave up too quickly. Sometimes it's about context, the approach needs to be adapted for their specific students.

But I can only get to those deeper conversations if teachers feel safe enough to be honest about their doubts.

I also create space for principals to admit what they don't know. In leadership meetings, I might say, "Many principals tell me they're not sure what to look for when they observe math lessons. Can we talk about that?" Naming the challenge gives people permission to acknowledge their own uncertainty.

5. Focus on Understanding Over Practice
One of the most important shifts is helping everyone—teachers, principals, parents—recognize that the goal is developing mathematical insight and understanding, not just completing more practice problems.

This means changing how we talk about math learning. Instead of asking, "Did you finish your worksheet?" we ask, "What did you figure out? What are you wondering about?" Instead of praising students for getting the right answer quickly, we highlight interesting thinking: "I noticed you approached this problem differently than others. Can you explain your reasoning?"

It means helping teachers see that when a student struggles with a problem, that's not a sign they need more practice on easier problems, it's an opportunity for learning. The struggle is where the learning happens.

And it means being honest with parents about why we're changing instruction. Not because the old way was completely wrong, but because we've learned more about how people develop mathematical understanding, and we want their children to truly comprehend math, not just memorize procedures.

The Long Game
I'm not going to pretend this work is easy or fast. Transforming math instruction requires changing beliefs, building capacity, and creating systemic coherence and all of that takes time.

I've been doing this work for over 20 years, and I've learned that sustainable change happens through consistent effort over years, not through dramatic initiatives that fade quickly.

But I've also seen what's possible. I've watched teachers go from believing some kids "just aren't math people" to having unshakable faith that every student can develop mathematical reasoning. I've seen schools transform their math culture so completely that visitors can't believe these are the same students who were struggling just a few years earlier. I've worked with districts that have built the capacity to sustain improvement even as individuals move to new roles.

The key is being willing to have honest conversations about the real barriers at every level and then addressing those barriers with strategies that actually work.

It starts with acknowledging where we are. Not where we wish we were, not where we're supposed to be, but where we actually are. And then taking the next step forward, together.

What Now? 

1. Download this reference guide, created by Tara Trudo, that summarizes these strategies in a format you can keep and share: Transforming Math Instruction
   
   
2. Read this article next: What It Looks Like When Students Learn Math Differently
   
   
3. Want a tool that coaches the way this article describes? Meet AI Math Coach.
   
   
4. Bring All Learners Network (ALN) to your school or district for embedded professional development. 

All Learners Network is committed to supporting pedagogy so that all students can access quality math instruction. We do this through our online platform, free resources, events, and embedded professional development. Learn more about how we work with schools and districts here.