Math Expressions^®

Build confident mathematical thinkers with a PreK–6 core mathematics program that puts student voice and meaningful problem solving at the center of daily instruction. Available in English and Spanish, Math Expressions' research-based approach helps students build understanding, fluency, and confidence.

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Build Confident Mathematical Thinkers

Math Expressions brings together research-based instruction, mathematical discourse, assessment, and differentiation in one coherent system. With the structure and flexibility to meet students where they are, you can strengthen Tier 1 instruction, create greater consistency across classrooms, and give every student the opportunity to learn, grow, and succeed in mathematics.

A Core Math Program Built Around How Students Learn Mathematics

Math Expressions puts student thinking at the center of daily instruction through five research-based instructional structures. Grounded in decades of research on how children learn mathematics, including the work of Dr. Karen C. Fuson, these structures help you create meaningful opportunities for students to build understanding, develop fluency, share their thinking, and grow their confidence as mathematicians.

Building Concepts

Make sense of mathematical ideas through visual models and hands-on manipulatives.

Math Talk

Explain, question, discuss, and justify mathematical thinking.

Student Leaders

Build autonomy by giving students meaningful and active roles in learning.

Quick Practice

Develop fluency through purposeful practice while keeping understanding at the center.

Helping Community

Create a classroom where collaboration, mistakes, and productive struggle support learning.

Get the Research Behind Math Expressions

A young student working with manipulatives.

Does Your Math Program Support Every Learner?

A high-quality math program should give students more than standards coverage. It should help them develop understanding, reasoning, fluency, problem-solving skills, and the confidence to engage with challenging mathematics.

Use our HQIM Math Checklist to evaluate whether your core math program is giving you and your students the support you need to succeed.

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A Comprehensive Solution for Teaching, Learning, and Growth

Math Expressions combines comprehensive instructional materials, student resources, digital tools, assessments, and differentiated learning opportunities within one coherent program. The result is a thriving math community with stronger alignment among what students learn, how you teach, how progress is assessed, and how you respond to learning needs.

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Student Experience

In a Math Expressions classroom, students are thinkers, problem solvers, explainers, and leaders. They explore ideas with hands-on manipulatives and math boards, using physical models and representations to make their thinking visible. Students learn that being a mathematician does not mean getting the right answer. It means being willing to think, ask questions, explain their reasoning, and learn from others. That shift helps students develop the confidence to engage with challenging problems, learn from mistakes, and see themselves as capable mathematicians.

A teacher showing a passage to two students.

Teacher Experience

Math Expressions gives you the structure to teach with confidence and the flexibility to respond to the students in front of you. Clear lesson structures, research-based teaching guidance, planning support, differentiation, assessment, and embedded professional learning help you focus on mathematics and your students—not on piecing together what comes next. With Heinemann Flight, you can access the resources, tools, and reporting insights on one connected platform. You get the consistency of a coherent core program and the autonomy to make responsive instructional decisions every day.

Keep Every Student Connected to Grade-Level Mathematics

The goal is not simply to help students complete the lesson. It's to help every learner become a valued member of the mathematical community.

Differentiate Learning in Daily Math Instruction

Respond to different experiences, strengths, and levels of readiness while keeping students connected to grade-level mathematics. Math Expressions gives you built-in differentiation through the Activity Center, visual models, language supports, and enrichment opportunities to help students access, practice, and extend mathematical ideas. You can use these resources alongside core lessons so students can receive the support or challenge they need without becoming disconnected from the mathematics their classmates are learning.

Students using blocks and other manipulatives.

Students raising their hands in a classroom.

Help Every Student Join the Math Conversation

Visual models, structured Math Talk, sentence frames, math drawings, and collaborative routines give students multiple ways to communicate their ideas. Language development is embedded in daily instruction so multilingual learners can participate in grade-level reasoning, explain strategies, and learn alongside their peers.

Make Practice Feel Like Progress

Personalized, Adaptive Practice with Matific

The right kind of practice can do more than improve a skill. It can help a student want to keep learning.

Integrated with Math Expressions, Matific provides engaging, game-based practice that adapts to student needs and reinforces the math they're learning in class. Students build fluency, strengthen mathematical thinking, and experience small wins that turn practice into progress.

Matific connects independent practice to your core instruction without adding another disconnected tool to manage. Together, Math Expressions and Matific give every student meaningful opportunities to practice, grow, and build confidence in math.

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Turn Assessment into the Next Right Step

The goal isn't more data. It's better decisions. Integrated diagnostic, formative, and summative assessment tools help you understand student thinking, identify needs, and make informed decisions about instruction and differentiation.

Digital reporting gives you visibility from the student and class level through school and district levels, helping you respond to learning and monitor progress across your system. Assessment doesn't sit beside instruction. It helps you determine what comes next.

From Evidence to Action:

Identify strengths, misconceptions, and unfinished learning.
Group students for targeted instruction.
Select appropriate differentiation resources.
Provide targeted support or enrichment.
Monitor progress and adjust instruction.

Support Stronger Math Teaching

Invest in teachers, and the impact reaches every classroom. Math Expressions professional learning helps you deepen your understanding of the instructional approach, strengthen classroom practice, and build a shared vision for mathematics across your schools. With ongoing support, you can build the knowledge, confidence, and consistency that help a strong curriculum deliver stronger outcomes.

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Teachers participating in professional development

Give Every Student a Place in Mathematics

Create classrooms where every student feels they belong and can see themselves as capable mathematicians. Give your schools a core program built for great math instruction every day.

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Math Expressions®