Math: Universally Speaking

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 goalsOptimizing challenge and supportUsing scaffolds during problem solvingFostering collaboration and mathematical discourseBuilding belonging and community in math classProviding actionable feedback that advances student thinkingRon 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.

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.

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 understandingDesigning instruction that promotes choice, relevance, and authenticity in math learningEncouraging strategic thinking and problem solving rather than relying on a single algorithmCreating opportunities for joy, collaboration, and productive mathematical playUsing asset-based language to nurture positive math identities for every studentRon 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.

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.

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.

In this episode of Math Universally Speaking, Ron Martiello is joined by mathematics education consultant Dina Mendola for a thoughtful conversation on shifting the lift in mathematics instruction—moving the cognitive work from the teacher to the student.Together, they explore what it truly means to reveal and advance student thinking, and why understanding how students reason, represent, and make sense of mathematics is essential for equitable and effective instruction. The discussion connects student thinking to math identity, instructional decision-making, assessment practices, and the role of teacher and leader support in creating safe, responsive learning environments.Listeners will hear practical insights on:Making student thinking visible through discourse and representationsUsing assessment evidence to inform instruction, not just evaluate learningSupporting teachers in developing their own math identitiesAccelerating learning by connecting unfinished learning to grade-level contentHow school leaders can foster trust, curiosity, and instructional risk-takingThis episode is especially relevant for elementary, middle and high school teachers, instructional coaches, math specialists, and school leaders seeking research-aligned strategies to center student thinking and strengthen mathematics instruction.

In this episode of Math, Universally Speaking, Ron Martiello sits down with Cathleen Beachboard, author of School of Hope and a researcher in the science of hope. Together, they explore the transformative power of hope in education, from fostering student perseverance in mathematics to supporting teacher growth and resilience.Cathleen shares her experiences as a classroom teacher, researcher, and parent, offering practical strategies for cultivating hope, promoting asset-based language, and creating classrooms where students and teachers can thrive. Discover the science behind hope, how belief shapes learning, and simple ways to inspire both students and colleagues to embrace challenges, persist through struggle, and unlock their potential.This episode is a must-listen for educators, administrators, and anyone committed to creating equitable, engaging, and empowering learning environments.Follow Cathleen’s work through Edutopia, LinkedIn, and social media to continue the conversation about hope and its role in education.

In this episode of Math Universally Speaking, host Ron Martiello explores how educators can move beIn this episode of Math Universally Speaking, Ron Martiello sits down with math educator and DebateMath co-host Rob Baier to explore how debate, reasoning, and student voice can transform math instruction. Rob shares his journey from district leadership to international math coaching, his work with Innovomat, and the power of structured mathematical debate in helping students build deeper understanding.Together, Ron and Rob dig into the heart of mathematical debate—how fostering student voice, teacher voice, and genuine curiosity leads to deeper understanding. Instead of debating to “win,” they explore how structured argumentation helps learners make sense of ideas, justify their reasoning, and consider multiple perspectives. Rob shares why reclaiming debate as a respectful, evidence-based practice can shift classroom culture and empower everyone in the learning community to think more critically and collaboratively.They also discuss emerging issues in math education, including the role of Mathematical Practice 3 (creating viable arguments and critiquing reasoning), the integration of debate into pedagogy, and practical strategies to create equitable, high-quality math experiences for all students. Whether you’re a teacher, instructional coach, or school leader, this episode offers insights and inspiration to get students talking, reasoning, and truly making sense of mathematics.

In this episode of Math Universally Speaking, host Ron Martiello explores how educators can move beyond the myth of answer-getting and design math classrooms that value reasoning, reflection, and resilience. Drawing from Principles to Actions (NCTM, 2014) and his co-authored book Conquering Math Myths with Universal Design, Ron shares practical ways to elicit and use evidence of student thinking—a key practice that builds understanding and prepares students for future learning.Learn how to:Ask purposeful questions that stretch mathematical reasoningUse evidence, not just data, to guide instructional decisionsHelp students reflect on process, not just precisionTurn assessments into opportunities for growthDiscover how shifting from answers to thinking transforms classroom culture, strengthens students’ confidence, and supports inclusive, high-quality math instruction.

In this episode of Math Universally Speaking, Ron Martiello sits down with educator and innovator Beth Stark to explore how Universal Design for Learning (UDL) transforms teaching and empowers every student to thrive. Together, they discuss how thoughtful design — not rigid routines — helps teachers overcome barriers, honor learner variability, and foster deeper understanding in mathematics.Beth also shares the story behind Ludia, an AI-powered UDL thought partner she co-created to support educators worldwide. Discover how AI can enhance, not replace, teacher reflection and collaboration — and how designing for every learner leads to engagement, access, and belonging for all.

In this episode of Math Universally Speaking, host Ron Martiello sits down with Sarah Noland to discuss how educators can build belonging in math through inclusive teaching practices and Universal Design for Learning (UDL).Listeners will discover how to:Create classroom cultures where all students feel they belongDevelop inclusive math goals that promote access and engagementSupport diverse student identities in mathematicsThis episode offers real-world insights for teachers, coaches, and leaders committed to equity and inclusion in math education.

In this special episode of Math Universally Speaking, Ron reconnects with his former colleague and friend, Kate Small—an experienced educator, consultant, and passionate advocate for inclusive education. Kate’s background spans teaching in both general and special education, serving as an instructional coach, and working in administration before moving into national consulting. Now, she supports teachers and leaders across the U.S. in building stronger instructional practices, with a focus on co-teaching strategies, equity in math classrooms, and meeting the needs of diverse learners. Her experiences in and beyond the classroom give her a unique perspective on what it truly takes to make co-teaching partnerships successful.Whether you’re a new teacher exploring how to co-teach effectively, a veteran looking to strengthen collaboration in the classroom, or an administrator supporting teacher teams, this conversation offers both practical co-teaching tips and professional inspiration. Ron and Kate highlight the heart of co-teaching: building trust, sharing ownership, and ensuring that all students—especially those with learning differences—have access to rigorous, student-centered math instruction. From co-planning strategies to leveraging each educator’s strengths, this episode is filled with insights to help you and your teaching partner create classrooms where every student can succeed.Connect with Kate:Instagram: @choosinginclusionEmpowered School Solutions: Website

In this episode of Math Universally Speaking, host Ron Martiello explores how to build a positive math culture that inspires students to see themselves as capable problem-solvers. Drawing on five practical tips—holding high expectations, coaching precision, embracing struggle, positioning students as partners, and making time for reflection—Ron shows how teachers can shape classroom environments where math identities grow stronger, students feel empowered, and learning becomes a shared journey.

In this episode of Math Universally Speaking, Ron Martiello challenges the tendency to abandon high-level math instruction when analyzing achievement scores from the previous year. Using his experiences as a former principal and current instructional coach, Ron shares options for collective schoolwide actions that keep all learners engaged, supported, and on course—without lowering expectations. Discover how to set a course for the horizon, adjust the sails, and help students reach their mathematical destinations successfully.

In this episode of Math Universally Speaking, host Ron Martiello welcomes educator and podcaster Pam Brett for a dynamic and deeply honest conversation about identity, equity, and the emotional layers behind math learning.Pam shares the story behind The Blue Glasses Math Podcast—a name rooted in the idea of shifting our perspective on who gets to be a “math person.” From deli counter chats to classroom breakthroughs, she reflects on the stories people carry about math and why we must challenge the idea that it’s only for the elite. Instead, Pam champions the belief that every student deserves a seat at the mathematical table—and every educator has the power to make that happen.This episode dives into:The emotional baggage tied to math identityLooking for the "humanness' in your studentsThe importance of not playing small—your voice, your students, and this work matterWhether you're a teacher, coach, or just someone rethinking your own relationship with math, this episode will leave you inspired to lead boldly and teach with heart.

🎙️ Episode 10: Productive Math Struggle with Kevin DykemaJoin nationally recognized math educator and former NCTM President Kevin Dykema as he unpacks what productive math struggle really means—and what it doesn't. In this powerful conversation, Kevin shares reflections from his 26 years in the classroom, his leadership at NCTM, and his co-authored book Productive Math Struggle. Hear how he advocates for equitable math instruction that moves students beyond memorization toward deep understanding. If you're looking for practical, honest insights about how to support all learners through meaningful struggle, this episode is for you.

🎙️ Episode Title: Unpacking Numbers and Operations in Base TenIn this episode of Math Universally Speaking, host Ron Martiello dives into one of the most foundational concepts in math instruction: Numbers and Operations in Base Ten. Discover how a deep understanding of place value and the Base Ten structure can empower students to reason flexibly with numbers and approach operations with confidence. Ron discusses the importance of timing when introducing standard algorithms, busts common myths about teaching operations, and offers insights rooted in Universal Design for Learning (UDL) to ensure all students can access and engage with the content. Whether you're teaching kindergarten or middle school, this episode offers practical tips and powerful reminders to guide your math instruction with clarity, patience, and purpose.🔗 Don’t forget to follow the podcast and join the conversation using #MathUniversallySpeaking.

Podcast Description:In Part 2 of our problem-solving series, we dive into how to support students in grades 3–5 with multiplication and division word problems. We unpack the three key situation types—Equal Groups, Arrays, and Multiplicative Comparison—and explore how to set clear goals, provide scaffolds, and use conceptual models to help students reason through problems.Rooted in Common Core State Standards, the Standards of Mathematical Practice and Universal Design for Learning (UDL), this episode emphasizes how tools, language, and intentional planning can empower all learners. You’ll hear how these strategies build fluency, support reasoning, and help students make sense of math—not just memorize procedures.Explore visuals and classroom tools at ⁠MathUniversallySpeaking.com⁠, where you’ll also find links to the podcast on your favorite platforms.#MathUniversallySpeaking | #UDLinMath | #InclusiveMathInstruction | #StandardsOfMathematicalPractice

In this special episode of Math Universally Speaking, host Ron Martiello sits down with co-author Dr. Jenna Rufo to reflect on their collaboration on Conquering Math Myths with Universal Design. Together, they unpack the inspiration behind the book, share personal stories from the field, and explore how Universal Design for Learning (UDL) can transform math instruction for all students. It's a candid, thoughtful conversation about equity, inclusion, and the power of high expectations.Join Ron and Jenna as they challenge assumptions, celebrate progress, and invite you to be part of the movement to reimagine math instruction.Follow along using #MathUniversallySpeaking and subscribe on Apple Podcasts, Spotify, Castbox, or Amazon Music.References:Martiello, R., & Rufo, J. M. (2023). Conquering math myths with universal design: An inclusive approach to instruction K–8. CAST Professional Publishing.

Description: Welcome to Math Universally Speaking, the podcast where inclusive math instruction takes center stage. Hosted by educator and author Ron Martiello, each episode explores how Universal Design for Learning (UDL) can transform the way we teach and reach all learners.In this episode, Situations Matter: Understanding the Structure of Word Problems, Ron breaks down the three foundational types of addition and subtraction word problems—Put Together/Take Apart, Add To/Take From, and Compare. Discover why understanding these structures early on sets the stage for success with more complex math later. Packed with practical tips and UDL-aligned strategies, this episode helps educators move beyond keywords and toward deeper, more flexible problem-solving.Join the conversation and reimagine what’s possible in math—one situation at a time.References: Achieve the Core. (n.d.). Mathematics focus by grade level. Achieve the Core. Retrieved April 5, 2025, from https://achievethecore.org/category/774/mathematics-focus-by-grade-levelAchieve the Core. (n.d.). Situation types for operations in word problems. Achieve the Core. Retrieved April 5, 2025, from https://achievethecore.org/page/932/situation-types-for-operations-in-word-problemsCAST. (2018). Universal design for learning guidelines version 2.2. CAST. Retrieved April 5, 2025, from https://udlguidelines.cast.org/Rufo, J. M., & Martiello, R. (2024). Conquering math myths with universal design: An inclusive instructional approach for grades K–8. ASCD.Professional Development Questions:Which of the three primary word problem situation types (Put Together/Take Apart, Add To/Take From, Compare) do your students struggle with most, and why do you think that is?-How might instructional shifts or visual representations help address this struggle?In what ways do keywords limit students' problem-solving potential?-How can shifting the focus to relationships between quantities improve comprehension and reasoning?How can applying Universal Design for Learning (UDL) principles—such as clarifying vocabulary, using visual models, or giving the answer first—help students deepen their understanding of word problem structures and support diverse learners in your classroom?

What if we told you that joy in math isn’t about being happy—it’s about the deeper sense of fulfillment that comes from perseverance, growth, and belonging? In this episode of Math Universally Speaking, we explore how to cultivate joy in math through three key approaches: inspiring courage, making math relevant to students’ lives, and keeping all students in the game.We’ll dive into the role of Universal Design for Learning (UDL) in fostering a culture of high expectations, relevance, and proactive support—ensuring every student can engage meaningfully with grade-level math. From challenging biases around speed and intelligence to implementing just-in-time scaffolds, this conversation is about reimagining math instruction as a space where every learner thrives.Join us in reshaping the narrative of math education! Follow Math Universally Speaking on Apple Podcasts, Amazon Podcasts, Castbox, and Spotify, and be part of the conversation on social media using #MathUniversallySpeaking.

Welcome to Math Universally Speaking! In this episode, Assess with the Heart – Navigating Challenges, Finding Opportunities in Assessments, we explore how assessments can be more than just a measure of student learning—they can be a tool for growth, confidence, and deeper understanding. Through proactive planning, thoughtful scaffolding, and meaningful feedback, we can create assessments that truly honor student learning and variability.Join the conversation! Share your thoughts and connect with other educators using #MathUniversallySpeaking on social media. Let’s continue working together to make math instruction more equitable, inclusive, and impactful!

In this episode of Math Universally Speaking, we explore Standards for Mathematical Practice #1—Making Sense of Problems and Persevering in Solving Them—through the lens of Universal Design for Learning (UDL). Too often, students struggle with problem-solving because they lack strategies for making sense of math, persisting through challenges, and connecting new learning to what they already know. We’ll discuss how educators can create flexible learning environments that support student autonomy, optimize challenges, and encourage productive struggle—ensuring that all students become confident, resilient problem solvers.Join me as we examine practical strategies for helping students navigate math with independence, collaboration, and deep understanding. Let’s rethink how we approach math instruction—moving beyond quick tricks and shortcuts to build meaningful mathematical thinking.References:CAST. (2018). Universal Design for Learning Guidelines version 2.2. Retrieved from https://udlguidelines.cast.orgCommon Core State Standards Initiative. (2010). Common Core State Standards for Mathematics. Retrieved from http://www.corestandards.org/Math/Agarwal, P. K., & Bain, P. M. (2019). Powerful teaching: Unleash the science of learning. Jossey-Bass.

Descripition: In this episode of Math Universally Speaking, host Ron Martiello explores essential tools that help educators and administrators create equitable, high-quality math instruction. Ron shares seven indispensable resources, including the Coherence Map, the Universal Design for Learning (UDL) framework, and his own book, Conquering Math Myths with Universal Design, co-authored with Dr. Jenna Rufo. Each tool plays a key role in designing accessible, engaging math experiences and supporting students on their journey to grade-level achievement. Some of these resources can also help school and district leaders set a vision for math instruction and advocate for equitable learning opportunities.Tune in to discover how these tools can transform your teaching and leadership practices while fostering inclusive learning environments. Join the conversation using #MathUniversallySpeaking and connect with us on Facebook, Bluesky, and LinkedIn—share what’s in your own math utility belt and explore ideas with fellow educators!Resources Mentioned in This Episode:🔗 Coherence Map – Achieve the Core🔗 Universal Design for Learning (UDL) Framework – CAST🔗 Continuing the Journey: Mathematics Learning 2021 and Beyond – NCTM/NCSM/ASSM🔗 Focus by Grade Level Documents – Achieve the Core🔗 NCTM Position Statements🔗 Ludia (Go to poe.com then search for Ludia)🔗 Conquering Math Myths with Universal Design – Ron Martiello & Dr. Jenna Rufo

Ron Martiello, the host of the "Math, Universally Speaking" podcast. Martiello shares his personal journey with math, going from loving it as a student to struggling with it later on, until he became a teacher and rediscovered his passion for making math accessible and empowering for all students. He co-authored a book called "Conquering Math Myths with Universal Design" and uses his podcast to explore inclusive teaching practices and strategies to break down barriers in math education. The goal of the podcast is to build a community and inspire the creation of math classrooms where every student can thrive.