University of Hradec Králové visiting lecturer Lukáš Vízek explores mathematics education and collaboration at Tallinn University

Connecting institutions and research interests

The visit grew out of earlier meetings with Tallinn University researchers at conferences in Hradec Králové and Bolzano this spring. These discussions encouraged Vízek to seek funding that would allow a longer research visit and deeper engagement with colleagues at the School of Digital Technologies at Tallinn University.

During the week, Vízek is taking part in meetings mainly focused on mathematics education, observing mathematics lessons in Tallinn schools, and participating in research discussions at the university. He noted that these experiences offer valuable insight into how Tallinn University supports mathematics teacher education and develops new approaches in the field.

“Everything here is new to me, so I am happy to learn how this institution works and to get inspiration from your colleagues and their projects,” Vízek said.

Research focus: understanding mathematics

Vízek’s research examines how students develop conceptual understanding in mathematics, particularly in geometry. He studies how learners interpret geometric objects, reason about shapes and work with constructions, often using digital tools.

“With my colleagues, I try to answer what it actually means to understand mathematics,” he explained.

At the Tallinn University seminar on December 2, 2025, Vízek presented results from a joint study published in Educational Studies in Mathematics. The work explores how dynamic digital constructions can be used to assess students’ conceptual knowledge.

His research collaborations include partners from the University of South Bohemia in České Budějovice, Czech Republic, and Harvard University, United States of America, where he spent time as a Fulbright-Masaryk scholar.

Supporting future mathematics teachers

Vízek also works closely with practising mathematics teachers in Hradec Králové, organising teaching practicum experiences and observing lessons together with school partners. He noted that teachers in his region have become increasingly interested in exploring new instructional approaches.

“The cooperation with schools has become much stronger over the past five years,” he said. “Teachers want to try new ways of teaching, which is very positive.”

Although teacher shortages and salary questions remain challenges, Vízek says the situation in the Czech Republic has improved significantly over the last two decades.

Looking toward future collaboration

Throughout the visit, Vízek and colleagues from the School of Digital Technologies at Tallinn University have been discussing possibilities for joint work. He sees potential in combining his expertise in mathematics education with the School of Digital Technologies’ strong focus on digital technologies and learning environments.

“I would like to explore which funding opportunities we could consider together and what kinds of research ideas could connect our strengths,” he said.

The discussions will continue throughout the rest of the week as both universities look for meaningful ways to build long-term cooperation.