Virtual Learning of Spatial Euclidean Geometry Concepts: Reflections on Remote Teaching and Technological Mediation

Authors

DOI:

https://doi.org/10.18264/eadf.v15i2.2584

Keywords:

Online Education, Virtual learning, Distance education, Mathematics education, Online education, Euclidean Spatial Geometry

Abstract

We live in a world where our daily actions increasingly involve digital technologies (DT). Based on qualitative research in which students interacted with digital media in a remote learning environment focused on Euclidean Solid Geometry (ESG), we identified a teaching and learning approach, which we termed Virtual Learning (VL). This article aims to describe and reflect on the VL proposal, developed from a remote teaching experience in Euclidean Solid Geometry, highlighting its distinctive elements and potential applications in teacher training for distance learning courses. The results indicate that VL is characterized by a combination ofsynchronous and asynchronous interactions, diverse use of digital media, encouragement of collaboration and student agency, as well as flexible assessment strategies. This approach overcame limitations of Remote Teaching (RT), moving closer to a hybrid model that fosters meaningful learning and the collective construction of knowledge. We conclude that VL has the potential to be applied in online courses and disciplines, especially in initial and continuing teacher education, contributing to the improvement of Distance Education (DE) in Brazil.


Keywords: Virtual learning. Euclidean spatial geometry. Online education. Distance education.
Mathematics education.

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Author Biography

Rúbia Barcelos Amaral, Universidade Estadual Paulista Júlio de Mesquita Filho

Professor in the Department of Mathematics at UNESP - Rio Claro-SP and Graduate Program in Mathematics Education - PPGEM. Graduated in Mathematics at UNESP - Universidade Estadual Paulista Júlio de Mesquita Filho (2000); Master, Doctorate and Associate Professor in Mathematics Education also at UNESP (2002, 2007, 2017) and Post-Doctorate at NCSU - North Carolina State University (2016). Coordinator of the research group TeorEMa - Interlocutions between Geometry and Mathematical Education. Collaborative professor in the Multi-Unit Graduate Program in Science and Mathematics Teaching (PECIM) and a member of the PECIMAT research group. Experience in the area of ​​Mathematics Education and main research focus on Geometry, especially considering aspects of its teaching and learning, as well as its presence in textbooks. Currently head of the Mathematics Department, Vice coordinator of the Mathematics course and Coordinator of Pibid.

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Published

2025-09-24

How to Cite

Pelli, D., & Amaral, R. B. (2025). Virtual Learning of Spatial Euclidean Geometry Concepts: Reflections on Remote Teaching and Technological Mediation. EaD Em Foco, 15(2), e2584. https://doi.org/10.18264/eadf.v15i2.2584