Spatial Reasoning Outcomes in Technology-Enhanced Geometry Teacher Education

Authors

DOI:

https://doi.org/10.34190/ecel.25.1.5463

Keywords:

Spatial Reasoning, Teacher Education, Geometry Education, GeoGebra, Technology-Enhanced Learning

Abstract

Spatial reasoning is widely recognised as an essential competence for mathematics teachers and a significant predictor of achievement across STEM disciplines. However, less attention has been devoted to how these abilities can be systematically supported through technology-enhanced learning environments in higher education, particularly within teacher education. This study examined spatial reasoning outcomes in a technology-enhanced geometry course designed for prospective mathematics teachers. The research focused on comparing current learning outcomes with delayed performance following previous participation in the course. A quasi-experimental design was employed with two university student cohorts enrolled in geometry teacher education courses. One cohort had completed the course in the previous academic year, while the second cohort was involved in the current implementation during the ongoing semester. The learning environment was based on the Geometry Teaching Model, which integrated manual construction activities with digital technologies, particularly GeoGebra. Four spatial reasoning tests were administered during the semester. The tests assessed three components of spatial reasoning: mental rotation, spatial orientation, and spatial visualisation. Data were analysed using descriptive and non-parametric statistical methods. Students participating in the current course implementation achieved significantly stronger results in several complex tasks requiring reconstruction of three-dimensional objects from two-dimensional representations, interpretation of orthographic views, and advanced spatial synthesis. Students from the previous cohort performed comparably in simpler orientation tasks, suggesting partial maintenance of basic spatial skills over time. However, their performance was weaker in more demanding visualisation tasks. The findings suggest that performance in advanced spatial reasoning tasks may be particularly sensitive to the continuity of structured educational support. Sustained technology-enhanced geometry learning may therefore provide valuable opportunities for supporting complex visual-spatial competences in teacher education. The study contributes to current discussions on e-learning design, competence sustainability, and the preparation of future mathematics teachers in higher education.

Author Biographies

Angelika Schmid, Faculty of Education University of Ostrava

Angelika Schmid is an assistant professor at the Faculty of Education, Comenius University Bratislava, and a researcher at the Department of Mathematics with Didactics, Faculty of Education, University of Ostrava. Her research focuses on mathematics and geometry education, STEAM education, and the integration of digital technologies into teaching and learning, with particular emphasis on inquiry-based and constructivist approaches. Her research employs design-based research, qualitative and quantitative methods, and the analysis of authentic educational data, including video analysis. She has extensive experience with the educational use of GeoGebra, augmented and virtual reality, 3D modelling, and 3D printing, and participates in national and international research and educational projects, including Erasmus+ projects. In her teaching, she is primarily involved in pre-service and in-service teacher education, connecting teaching practice with research-informed innovation and the meaningful use of digital technologies.

Tomas Barot, Faculty of Education University of Ostrava

Tomas Barot works at University of Ostrava. His area is applied statistics and application in education. He is an associate professor. He publishes in applied statistics and in educational sciences. He teaches the courses bound with the international Erasmus+ students.

Lilla Korenova, Faculty of Education Comenius University Bratislava

Lilla Korenova is the acting Head of the Department of Didactics of Mathematics and Natural Science and the guarantor of the new study program 'Teaching for Primary Education – Mathematics and Informatics' at the Faculty of Education, Comenius University in Bratislava. She earned her PhD in Theory of Mathematics Education at Comenius University and obtained her habilitation in Mathematics and Computer Science at the University of Debrecen, Hungary. Her research focuses on STEAM education, digital technologies in teaching, mathematics didactics, e-assessment, and e-learning. She has led or participated in several national and international projects supporting innovation in STEAM education. She has authored and co-authored numerous academic and professional publications and has extensive experience in teacher education and training. Professor Korenova serves on editorial boards of international journals and supervises PhD students in mathematics education, ICT in education, and elementary pedagogy.

Zsolt Lavicza, School of Education Johannes Kepler University Linz

Zsolt Lavicza has worked on several research projects examining technology and mathematics teaching in classroom environments in Michigan and Cambridge. In addition, Zsolt has greatly contributed to the development of the GeoGebra community and participated in developing research projects on GeoGebra and related technologies worldwide. Currently, Zsolt is a Professor in STEM Education Research Methods at Johannes Kepler University’s Linz School of Education. From JKU, he is working on numerous research projects worldwide related to technology integration into schools, leading the doctoral program in STEM Education, teaching educational research methods worldwide, and coordinating research projects within the International GeoGebra Institute.

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Published

2026-10-07