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From Coefficients to 3D Planes: A VR Mathematics Module for Teaching Systems of Linear Equations with 3D Interaction
Abstract
Traditional approaches to teaching systems of linear equations frequently fail to connect abstract algebraic principles with students’ spatial reasoning, resulting in recurring errors in solution determination. To ad dress this, we developed a virtual reality (VR) application for Meta Quest headsets that enables immersive interaction with 3D graphical representations of systems of linear equations. The application allows users to manipulate equations as interactive planes in virtual space, adjust coefficients and visualize intersections in real time. In a study of 38 students, participants were tasked with identifying valid solutions (empty set, point, line, plane) in a paper-based exercise. Results indicated that students frequently misidentified solutions, selecting incorrect options such as two lines, three lines, several points, lines, and two triangles. Further more, correct solutions were not consistently identified (empty set: 60%, point: 44%, line: 51%, plane 68%). After a VR session, all students correctly recognized proper solution types (empty set, point, line, plane) in post-test scenarios, demonstrating improved conceptual mastery. Qualitative feedback highlighted heightened engagement and reduced cognitive load during VR tasks. These findings suggest that VR presentation can significantly improve algebraic problem-solving skills compared to static, paper-based methods. This study underscores the potential of immersive technologies to transform mathematics education while emphasizing the need for teacher training to integrate such tools effectively.
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Authors (9)
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Adam Nowak mgr inż.
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Jacek Stańdo
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Dorota Krawczyk-Stańdo dr
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Zuzanna Partyka
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Anna Laska-Lesniewicz dr inż.
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Nina Szczygiel
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Keywords
Details
- Category:
- Conference activity
- Type:
- publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
- Language:
- English
- Publication year:
- 2025
- Bibliographic description:
- Dąbrowicz-Tlałka A., Musielak M., Kujawska K., Nowak A., Stańdo J., Krawczyk-Stańdo D., Partyka Z., Laska-Lesniewicz A., Szczygiel N.: From Coefficients to 3D Planes: A VR Mathematics Module for Teaching Systems of Linear Equations with 3D Interaction// / : , 2025,
- DOI:
- Digital Object Identifier (open in new tab) 10.5220/0000190000003932
- Sources of funding:
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- Free publication
- Verified by:
- Gdańsk University of Technology
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