If students can access formulas and facts instantly, what does it mean to truly understand mathematics and science? How should technology reshape classroom instruction? And how can we prepare teachers to cultivate reasoning and inquiry rather than rote performance?

Irina Lyublinskaya is Professor of Mathematics and Education at Teachers College, Columbia University. Her work focuses on STEM education, teacher preparation, and the thoughtful integration of technology into mathematics and science classrooms. With a background in physics and extensive experience in teacher education, she studies how educators can design learning environments that promote deep conceptual understanding and meaningful engagement.

Her scholarship bridges disciplinary expertise, pedagogy, and innovation, emphasizing how teachers develop the knowledge and confidence needed to foster inquiry-based learning.

In this episode, Irina and I explore the shift from procedural instruction toward reasoning-centered classrooms. She explains why mathematics and science education must move beyond memorization and toward modeling, argumentation, and conceptual clarity. We discuss how digital tools, when used intentionally, can help students visualize complex systems, work with authentic data, and test ideas dynamically.

At the same time, Irina stresses that technology itself is not transformative. What matters most is how teachers understand both the content and their students’ thinking. We examine how teacher preparation programs can better support educators in blending subject knowledge with pedagogical insight, ensuring that innovation enhances learning rather than distracts from it.

This episode invites listeners to rethink what literacy in mathematics and science looks like in a rapidly evolving world. It challenges us to build classrooms where curiosity drives instruction, where reasoning is visible, and where technology supports deeper understanding rather than surface-level engagement.