High-Quality Instructional Materials: Why “Using the Math Curriculum” Isn’t the Same as Landing the Lesson

Why High-Quality Instructional Materials Don’t Improve Outcomes on Their Own

You did the hard part. You ran the adoption process, you fought for the budget, you chose high-quality instructional materials that actually deserve the label for your math program. Teachers are opening the curriculum every day. The pacing guide is being followed. And yet the results you were promised — the ones the pilot data hinted at — haven’t shown up…yet. When you sit in classrooms, the lessons are technically happening but they feel flat. Kids are getting through the tasks without ever really wrestling with the mathematics.

If that’s where you are, the problem probably isn’t your materials, and it isn’t a fidelity problem in the way you’ve been thinking about it. The gap you’re seeing is the gap between surface implementation and deep implementation. And closing it doesn’t mean buying something new. It means going deeper into what you already own. You likely already knew that. The hard part? Actually following through with that support.

What Fidelity Really Means in Curriculum Implementation

The word “fidelity” gets used as if it means a single behavior — are teachers doing the lessons as written or not. But research on curriculum enactment has long shown that fidelity is more layered than that. There’s a meaningful difference between fidelity to the procedures of a math program and fidelity to its underlying goals. A teacher can follow every step in the teacher’s edition and still miss the point the lesson was designed to make.

This is because teachers don’t simply absorb new materials and reproduce them. As studies of curriculum implementation have found, teachers enact new materials through the filter of their existing beliefs, knowledge, and habits — and their orientation toward the materials shapes how they use them regardless of whether they buy into the vision inside them (Remillard, 2005). Two teachers with the same book, the same pacing guide, and the same training will produce genuinely different lessons, because the materials are inert until a person brings understanding to them. That’s actually a feature and not a bug. 

The program can only carry so much. The rest is what the teacher understands about the mathematics and about how students learn it.

Why Teacher Content Knowledge Determines Whether a Math Curriculum Works

Consider a ratio lesson. On the surface, implementation means the teacher covers the ratio lesson on the day the pacing guide says to, uses the program’s tasks, and assigns the practice. Every box gets checked. But deep implementation means the teacher understands a ratio as a single quantity describing a multiplicative relationship — not merely two numbers side by side — and can therefore teach into the moment when a student asks why, when a strategy goes sideways, when the curriculum’s simplified rule collides with the mathematical reality.

That mathematical precision is exactly what separates surface implementation from deep implementation. Same materials, same lesson, radically different learning — and the variable is what the teacher knows, not what steps they follow. Implementation research reinforces this: quality of enactment and student responsiveness often predict outcomes at least as strongly as procedural fidelity or dosage, and one of the strongest predictors of high-quality implementation is the teacher’s own comfort and knowledge in the content.

So when you’re trying to move from “using the program” to “landing the lesson,” the lever is teacher content knowledge — specifically the specialized knowledge required to teach the mathematics, not just to do it. Adding another initiative on top won’t get you there. Deepening the practice with the materials in hand will.

How to Find the Hidden Depth in Your High-Quality Instructional Materials

Here’s the part coordinators consistently underestimate: the depth you’re looking for is often already sitting inside the program, unnoticed.

One coordinator we worked with recently discovered that the eight Standards for Mathematical Practice — the habits of mind that turn procedure into reasoning — were already embedded right there in the margin notes of the program’s teacher edition. They’d been present the whole time. Teachers were skimming past them on the way to the tasks. That discovery became a natural entry point for deeper work: not a new framework layered on top of the adopted program, but a spotlight on the richness already built into it.

This is almost always the higher-leverage move. Before you go looking for the next resource, ask what your current materials contain that your teachers aren’t yet using. Where does the teacher’s edition explain the mathematics behind the lesson? Where does it anticipate student misconceptions? Where are the practice standards, the representations, the “why this task” notes? Most high-quality programs are far deeper than they get taught. The work is helping teachers see and use that depth and feel that depth first hand and not just a footnote. 

When you frame implementation this way, fidelity stops being a compliance ask and becomes a professional-learning strategy. You’re not telling teachers to follow the program more obediently. You’re inviting them to discover how much more the program can do once they understand it — and that reframe changes how the whole staff receives the work.

How High-Quality Instructional Materials Can Build Teacher Capacity

Start by making the teacher’s edition a text you study together, not just a tool teachers use alone. Bring a single upcoming lesson to collaborative time and unpack the mathematics behind it: What is this lesson really about? What’s the concept, not just the procedure? Where will students struggle, and what does the program suggest we do about it?

Next, connect the practice standards to real tasks. Rather than teaching the eight SMPs as an abstract list, pick one — say, “attend to precision” or “look for and make use of structure” — and find where it already lives in next week’s lesson. Teachers see the standard doing real work, in real materials, instead of as one more poster on the wall.

Finally, use fidelity data diagnostically, not punitively. If you’re walking classrooms and seeing surface implementation, treat it as information about where content knowledge needs support — not as evidence that teachers aren’t trying. The teacher covering the ratio lesson without the underlying understanding doesn’t need a reminder to follow the pacing guide. She needs the chance to understand ratios more deeply, and a system that gives her that chance.

Ways to Move from Surface Implementation to Deep Implementation

At Make Math Moments, we believe that more materials is almost never the answer, and that the difference between a program that changes outcomes and one that just occupies class time comes down to depth of implementation — which comes down to what teachers understand. Districts that chase the next adoption are treating a knowledge problem as a materials problem. It doesn’t work, and it exhausts everyone.

This is why building capacity sits at the center of the Math Improvement Flywheel. When you deepen your teachers’ understanding of the materials you already own, you’re not just improving this year’s lessons — you’re growing expertise that makes every future lesson better and reduces your dependence on outside programs and outside experts. The materials become a vehicle for professional learning rather than a substitute for it. That’s a system designed to do the learning, and it’s the only version of implementation that sustains itself once the adoption year is behind you.

Go deeper before you go wider. The richness you’re looking for is usually already on the shelf.

Is the Problem Your Materials—or Your Capacity to Use Them?

If you’re trying to figure out whether your challenge is really about materials or about the capacity to teach them deeply, it helps to look at your whole system with fresh eyes. Our free Math Improvement Assessment walks you through the six areas that determine whether math improvement holds — including implementation depth and teacher content knowledge — and gives you a clearer sense of where to put your energy first. It’s available on our site whenever you’d like to use it.

References:

  1. Remillard, J. T. (2005). Examining Key Concepts in Research on Teachers’ Use of Mathematics Curricula. Review of Educational Research, 75(2), 211–246. https://journals.sagepub.com/doi/10.3102/00346543075002211
  2. Hill, H. C., Rowan, B., & Ball, D. L. (2005). Effects of Teachers’ Mathematical Knowledge for Teaching on Student Achievement. American Educational Research Journal, 42(2), 371–406. https://journals.sagepub.com/doi/10.3102/00028312042002371

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  • How alignment between district leaders, principals, and coaches shapes classroom instruction
  • What actually builds math teacher buy-in (and why it comes after clarity)
  • How conceptual understanding, fluency, and equity are system design issues
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