Math: Universally Speaking

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 representations
• Using assessment evidence to inform instruction, not just evaluate learning
• Supporting teachers in developing their own math identities
• Accelerating learning by connecting unfinished learning to grade-level content
• How school leaders can foster trust, curiosity, and instructional risk-taking

This 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 reasoning

• Use evidence, not just data, to guide instructional decisions

• Help students reflect on process, not just precision

• Turn assessments into opportunities for growth

Discover 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 belong

• Develop inclusive math goals that promote access and engagement

• Support diverse student identities in mathematics

This 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: @choosinginclusion
Empowered 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 identity

• Looking for the "humanness' in your students

• The importance of not playing small—your voice, your students, and this work matter

Whether 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.