Research & Evidence | DMTI Math Success
Backed by Research

Math Instruction Backed by Evidence, Not Hope

20+ years of research. 14,000+ teachers trained. The 6 Predictors of Math Success show exactly what drives student achievement—and how to teach to it.

Why Most Math Research Doesn't Help Teachers

Traditional math education research tells you what works—but not how to make it work in your classroom.

You've seen the headlines: "Manipulatives improve understanding." "Conceptual instruction beats procedural." Great. Now what?

DMTI is different. Our research identifies the specific, observable predictors of math success—and gives you the tools to teach to them.

The Research-to-Practice Gap

  • âś— Traditional: "Students should understand concepts"
  • âś— DMTI: Here are the 6 specific concepts that predict success, and exactly how to teach each one
  • âś— Traditional: "Use multiple representations"
  • âś— DMTI: These 4 models (number line, bar model, area model, ratio table) work across all topics—here's how to use them

The DMT Framework

Five research-based components that transform math instruction from procedural memorization to durable conceptual understanding.

Taking Students' Ideas Seriously

Value and listen to student thinking. When students share their reasoning—even if incorrect—you uncover their understanding and can guide them forward.

In Practice: "Tell me more about how you got that" instead of "That's wrong"

Using Multiple Strategies and Models

Students need both physical and visual models to build understanding. DMTI uses only four core visual models across all topics:

Number Line

Counting, ordering, fractions

Bar Model

Part-whole, comparison

Area Model

Multiplication, fractions, algebra

Ratio Table

Proportional reasoning

Teach Conceptual Before Procedural

Students must see the how and why before algorithms. Connect to prior knowledge, then build procedures on understanding—not the other way around.

Progression: Enactive (physical) → Iconic (visual) → Symbolic (abstract)

Use the Structure of Mathematics

Six foundational words empower students to describe thinking across all math topics (K-12):

Unit Compose Decompose Iterate Partition Equal

Embrace Misconceptions and Mistakes

Use conceptual understanding, models, and structural language to resolve misconceptions. Celebrate students sharing thinking—even when incorrect—because that's where real learning happens.

Mindset: "Mistakes reveal thinking we can work with"

The Research Behind DMTI

The 6 Predictors Study

Longitudinal research identifying the specific cognitive and instructional factors that predict mathematics achievement from elementary through middle school.

Key Finding: These 6 predictors account for 5 of variance in math achievement.

Teacher Professional Development Impact

Studies showing that teachers trained in DMTI principles show significant gains in pedagogical content knowledge and instructional quality.

Key Finding: 14,000+ teachers trained with sustained implementation support.

Student Achievement Outcomes

District-level data showing student achievement gains in DMTI implementation schools, including standardized test scores and conceptual understanding measures.

Key Finding: Schools show 2-3x typical growth in conceptual understanding.

Cognitive Science Foundation

Research on how students learn mathematics, including work on conceptual vs. procedural knowledge, multiple representations, and mathematical discourse.

Key Finding: Conceptual understanding must precede procedural fluency for durable learning.

Published Research & Insights

Deep dives into math education research, DMT Framework implementation, and real classroom insights from our team and partner districts.

Hosted at mathsuccess.dmtinstitute.com

From Research to Your Classroom

The DMT Framework isn't just theory—they're the foundation of every DMTI lesson, assessment, and professional development session.

20+

Years of Research

14,000+

Teachers Trained

5

Core Components