Math: Universally Speaking

How to Keep Students Engaged in Math Class: Rigor, Productive Struggle, and Perseverance

In this episode of Math: Universally Speaking, Ron Martiello explores how educators can keep students engaged during math learning by intentionally designing for rigor, productive struggle, and perseverance through the lens of Universal Design for Learning (UDL). Ron clarifies the differences between three commonly misunderstood mathematics education terms—rigor, productive struggle, and perseverance—and explains why understanding these distinctions matters when designing equitable, inclusive, and engaging math instruction. Throughout the episode, listeners will discover practical ways to sustain student effort and persistence in mathematics, including: * Clarifying learning goals * Optimizing challenge and support * Using scaffolds during problem solving * Fostering collaboration and mathematical discourse * Building belonging and community in math class * Providing actionable feedback that advances student thinking Ron also discusses how teachers can support students without taking away the thinking, why struggle is an important part of learning mathematics, and how classroom design can help students see themselves as capable mathematicians. This episode is valuable for K–12 teachers, instructional coaches, interventionists, special educators, administrators, and school leaders looking to strengthen student engagement in mathematics through inclusive and rigorous instructional design. Whether you teach elementary, middle, or high school mathematics, this conversation will provide practical ideas for helping students sustain effort, persist through challenges, and build deeper mathematical understanding. Listen to Math: Universally Speaking on Apple Podcasts, Spotify, Amazon Music, Castbox, or your favorite podcast platform.

Dr. Juli Dixon and The Fact Tactics Fluency Program

In this episode of Math: Universally Speaking, I am joined by Dr. Juli Dixon to discuss the framework behind The Fact Tactics Fluency Program. We explore how to move beyond rote memorization by focusing on the meaning of multiplication and the properties of operations. Juli explains how her program helps students transition from basic additive thinking to true multiplicative reasoning, ensuring they have a solid foundation for more advanced mathematics. We take a deep dive into the six specific tactics that drive the program: Grounding, Linking, Strategic Repetition, Review, Assessment, and Extension. This episode isn't just about theory—it’s about giving you high-impact strategies to build fluency while engaging students to take ownership of their own progress. Listen to the full episode now to discover Juli’s practical roadmap for transforming your approach to multiplication facts and challenging every learner in your classroom.

Welcoming Interests and Identities in Math Class

How do we truly invite students into mathematics? In this episode of Math Universally Speaking, Ron Martiello explores the connection between Universal Design for Learning (UDL) and high-quality mathematics instruction, focusing on the engagement guideline of welcoming interests and identities. When students feel invited into the learning process, they are more likely to stay engaged, persevere through challenges, and develop a strong math identity. Drawing connections to the Standards for Mathematical Practice and NCTM’s Principles to Actions, this episode explores how teachers can design math classrooms that honor learner variability while maintaining high expectations for all students. You’ll hear practical ideas for: * Using multiple mathematical tools and strategies to support conceptual understanding * Designing instruction that promotes choice, relevance, and authenticity in math learning * Encouraging strategic thinking and problem solving rather than relying on a single algorithm * Creating opportunities for joy, collaboration, and productive mathematical play * Using asset-based language to nurture positive math identities for every student Ron also discusses how welcoming student identities can transform math classrooms from places of compliance into spaces where students feel valued, capable, and invited to think deeply about mathematics. This conversation connects directly to ideas explored in the book Conquering Math Myths with Universal Design: An Inclusive Approach to Instruction K–8, co-authored by Ron Martiello and Dr. Jenna Rufo. If you're passionate about inclusive math instruction, equitable teaching practices, Universal Design for Learning, and developing confident math learners, this episode will give you practical insights and inspiration for your classroom. Follow Math Universally Speaking and join the conversation using #MathUniversallySpeaking.

Early Numeracy with Sheila Robitaille

In this episode of Math Universally Speaking, Ron Martiello welcomes veteran educator and instructional leader Sheila Robitaille for a conversation on early numeracy and number sense development—two essential foundations for long-term success in mathematics learning. Together, they explore how students often experience mathematics as procedures rather than conceptual understanding, and how weak early numeracy skills can contribute to math anxiety and disengagement. Sheila shares practical elementary math strategies, including purposeful wait time, mathematical discourse, gamification, and instructional approaches aligned with Universal Design for Learning (UDL) to support all learners. The discussion highlights how play, inquiry, and low-floor/high-ceiling tasks promote equitable access while strengthening students’ mathematical identity and confidence. The episode also introduces World Maths Day, a free global mathematics event hosted by 3P Learning, connecting students worldwide through engaging live math challenges. If you’re looking to strengthen number sense, improve math engagement, and create inclusive mathematics classrooms where every student can succeed, this episode offers practical ideas you can use immediately.

Making Fractions Accessible with Universal Design for Learning

In this episode of Math, Universally Speaking, Ron Martiello reflects on a collaboratively designed fourth-grade lesson on equivalent fractions through the lens of Universal Design for Learning (UDL). He shares how intentional planning, precise academic language, and the strategic use of multiple representations helped students develop deep conceptual understanding of fractions. Listeners will learn how tools like the Frayer Model, anchor charts, visual models, and structured discourse can activate prior knowledge, clarify vocabulary, and support repeated reasoning. Ron explains how moving deliberately from concrete visuals to symbolic equations empowered students to recognize patterns, test ideas, and understand why fractions are equivalent—rather than relying on memorized procedures. This episode highlights practical teacher moves for supporting diverse learners, including English language learners and students who struggle with academic language, while maintaining high expectations and mathematical rigor. Through real classroom examples, Ron demonstrates how UDL principles can increase access, engagement, and student agency in elementary math instruction. Whether you are teaching fractions, designing concept-based math lessons, or working to strengthen equity and accessibility in your classroom, this episode offers actionable strategies for building meaningful mathematical understanding.