What the Research Says: 5 Middle School Math Strategies That Improve Algebra Readiness

Drive middle school math success using 5 evidence-based strategies that leverage cognitive science and targeted interventions to help students build algebra readiness.

Algebra readiness is a widely discussed topic, with schools experiencing low proficiency rates, widening achievement gaps, and growing concerns about students’ preparedness for higher-level math and STEM careers. For school leaders, these headlines aren’t just statistics or national trends—they reflect the real challenges students and teachers face every day.  

Middle-school students are at a critical stage of development as they work to solidify their math skills while transitioning to more abstract thinking. Unfortunately, many of them—in both brick-and-mortar and online classrooms—are struggling with foundational math concepts, leaving educators with the obvious question: Are we providing the support, strategies, and structures students need?  

Research-Based, Data-Driven Practices Are Critical 

To help these students move forward, educators need strategies that lead to meaningful, measurable improvements in student learning. However, it can be hard to separate what is truly effective from practices that only sound promising. With so many solutions available, how can we make sure the instructional methods applied in math classrooms are not just well-intentioned but also proven to work? 

The answer is adopting evidence-based practices specifically tailored to mathematics instruction—and the good news is we’re not starting from scratch. There is a strong body of research on what works specifically for math instruction, especially middle school math and intervention strategies.

5 Evidence-Based Instructional Strategies for Algebra Readiness 

So, what does the research say? Although many approaches can be effective, the following are cited repeatedly as critical for preparing students for and helping them succeed in pre-algebra math and beyond. 

1. Apply Cognitive Science to Math Instruction

Effective instruction isn’t just about breaking content into smaller parts—it’s about designing learning experiences that align with how the brain processes and retains information. Cognitive science offers several powerful tools for doing just that.

• Spaced practice, or distributing learning over time, improves retention by allowing the brain to consolidate concepts between sessions.  
• Dual coding, which pairs visual and verbal representations, taps into multiple cognitive channels for deeper understanding.  
• Retrieval practice, interleaving, elaboration, and connections to prior knowledge all strengthen long-term memory and help students transfer learning to new contexts.

These strategies are especially important in digital learning environments, where cognitive overload can quickly derail engagement. The goal is not to lower expectations but to make rigorous learning more accessible by reducing unnecessary mental strain and maximizing students’ ability to focus on high-level math thinking. 

2. Build a Foundation with Rational Number Proficiency

“Students cannot succeed in algebra if they do not understand rational numbers” – Joan Moss

Research confirms a strong connection between rational number proficiency and algebra readiness. The article “A systematic investigation of the link between rational number processing and algebra ability” highlights how critical this building block is. A flexible, conceptual understanding of rational numbers, including fractions, decimals, negative numbers, and their equivalencies is foundational to algebraic reasoning.  

Middle school students must grasp that a number can have multiple representations (e.g., 0.5 = ½ = 50%) and understand how operations work across number systems. Without a strong foundation in rational numbers, students are more likely to struggle with the reasoning and flexibility that algebra requires. Helping students deepen their number sense in these areas builds the fluency and flexibility they’ll need for symbolic manipulation and abstract thinking.

3. Develop Operational Fluency for Cognitive Efficiency  

Operational fluency is more than just speed; it’s about cognitive efficiency and being able to perform basic operations quickly and accurately.

When students lack fluency with foundational operations, they spend too much mental energy on computation, leaving little room for conceptual reasoning. Algebra demands that some skills become automatic so that students can focus their attention on new and complex ideas.

As one math educator put it, “We’re not ignoring rote work—we’re moving beyond it.” Teachers should ensure that students build fluency with all types of numbers, so problem-solving becomes smoother, confidence increases, and higher-order thinking isn’t weighed down by basic arithmetic struggles.

Without fluency, even well-taught concepts can feel out of reach, as students may become bogged down in the mechanics rather than engaging with the meaning behind the math. Supporting students in developing efficient, accurate strategies helps free up cognitive resources for reasoning, pattern recognition, and strategic thinking.

4. Connect Proportional Relationships Across Grade Levels

Proportionality is one of the most essential and far-reaching concepts in middle school mathematics. Its influence extends across nearly every major topic students will encounter including fractions, ratios, rates, percentages, equations, graphing, and linear relationships.  

A strong understanding of proportional reasoning isn’t just a nice-to-have skill—it’s a throughline. Research consistently shows that students who struggle with proportionality are more likely to struggle with algebra. That’s why instruction must go beyond surface-level exposure and intentionally build a deep, flexible understanding of proportional relationships over time. For middle schoolers, this means making explicit connections between ratios and rates in 6th grade, to proportional relationships and slope in 7th grade, to linear functions and equations in 8th grade. When instruction treats these concepts in isolation, students struggle to see how they build on one another.

Digital resources that allow students to explore, visualize, and manipulate proportional relationships can strengthen conceptual understanding and support long-term retention. When students grasp these relationships, they’re better equipped to develop a coherent, connected view of math.

5. Bridge Concepts with the CRA (Concrete, Representational, Abstract) Framework

Too often, math is taught as a series of steps to follow, leaving students to believe that success comes from memorizing rules rather than understanding concepts. Many students struggle in math because they memorize steps without truly understanding why they work. This can make math feel disconnected and arbitrary, especially in middle school, when concepts become more abstract. 

The CRA (Concrete, Representational, Abstract) framework is a three-stage instructional sequence that builds deep conceptual understanding by scaffolded learning. Research shows this progression is critical for transitioning students from tactile math to symbolic algebra.

• Concrete: Students use physical manipulatives (like 3D shapes or algebra tiles) to explore math concepts hands-on.
• Representational: Students translate physical actions into visual models, such as number lines, area models, or diagrams.
• Abstract: Once the concept is grounded, students transition to using only numbers, symbols, and mathematical equations.

By following this evidence-based progression, educators reduce cognitive load and ensure that students can understand the why behind mathematical rules before they are asked to memorize formulas.

Putting These Albrebra Readiness Strategies to Use in the Classroom

Algebra readiness is a complex challenge with no one-size-fits-all solution. Addressing it calls for a multifaceted approach that includes high-impact tutoring, differentiated instruction, curriculum enhancements and overhauls, teacher professional development, and parent support.  

At Edmentum, we used these five research-backed principles intentionally when designing our Middle School Math Curriculum.  

• Instructional sequences follow the Concrete–Representational–Abstract framework to build conceptual understanding.
• Digital lessons incorporate cognitive science strategies like retrieval practice and dual coding to deepen learning and retention.  
• Scaffolded activities focus on rational numbers and proportional relationships, emphasizing connections across grades to support long-term algebra readiness.  
• Built-in opportunities to strengthen students’ operational fluency in meaningful ways, not as isolated drills, but as part of a broader strategy to free up cognitive resources for higher-level thinking.

Even with strong curriculum and tools in place, implementation of evidence-based instruction takes intentional planning and sustained support. School and district leaders must ensure that teachers have the time, resources, and professional learning opportunities they need, so they can to apply research-based methods with fidelity and collaborate around what works.  

Algebra readiness doesn’t happen by accident; it’s built through consistent, research-driven practices and a commitment to helping every student develop confidence, skills, and understanding. Schools that prioritize and sustain these strategies make it possible for teachers to truly meet students where they are.