Polyhedra with Neotrie VR immersive virtual reality software, an experience with prospective teachers

Authors

  • Antonio Codina Sánchez
  • María del Mar García López
  • Isabel María Romero Albaladejo
  • José Luis Lupiáñez Gómez
DOI: https://doi.org/10.6018/reifop.531841
Keywords: Immersive Virtual Reality, NeoTrie VR, Geometry, Teacher Training

Supporting Agencies

  • Proyectos FEDER-Junta de Andalucía (UAL2020-SEJ-B2086)
  • PROFESTEAM del Ministerio de Economía y Competitividad (PID2021-128261NB-I00)

Abstract

The use of Immersive Virtual Reality for the teaching and learning of mathematics is a line of growing interest, where empirical research is needed on the impact of its inclusion in the classroom. We present a study carried out with student teachers, in which NeoTrie VR software is used in an experimental group to work on the notion of polyhedron, following the Vinner framework. The analysis of quantitative data shows the most common errors made by students when identifying the classes to which a set of three-dimensional figures belong.  The contrast of results of the experimental group with a control group yields significant differences, which imply that working with the software contributes to the acquisition of a richer and more connected mental image of the concepts studied. The students of the experimental group have been able to identify to a greater degree the relevant characteristics of the polyhedrons, their types and connections between them, as well as to reduce the errors detected in the initial test.

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References

Bernabeu, M., Llinares, S. y Moreno, M. (2018). Comprensión del concepto de polígono en niños/as de 9 años. En L. J. Rodríguez-Muñiz, L. Muñiz-Rodríguez, A. Aguilar-Conzález, P. Alonso, F. J. García, y A. Burno (Eds.), Investigación en Educación Matemática XXII, 3, (pp. 151–160). Ediciones de la Universidad de Oviedo.

Bernabeu, M., Llinares, S., y Moreno, M. (2021). Levels of Sophistication in Elementary Students’ Understanding of Polygon Concept and Polygons Classes. Mathematics, 9(16), 1966. https://doi.org/10.3390/math9161966

Charles, R. I. (1980). Some Guidelines for Teaching Geometry Concepts. Arithmetic Teacher, 27(8) 18-20.

Demitriadou, E., Stavroulia, K.E. y Lanitis, A. (2020). Comparative Evaluation of Virtual and Augmented Reality for Teaching Mathematics in Primary Education. Education and Information Technologies, 25, 381–401. https://doi.org/10.1007/s10639-019-09973-5

Dilling, F. y Sommer, J. (2021). Virtual reality in mathematics education: design of an application for multiview projections. En U. Jankvist, R. Elicer, A. Clark-Wilson y H. Weigand (Eds.) Proceedings of the 15th international conference on technology in mathematics teaching (pp. 263-270). Copenhague, Dinamarca: Danish School of Education. https://doi.org/10.7146/aul.452

Gutiérrez, Á., y Jaime, A. (2012). Reflexiones sobre la enseñanza de la geometría en primaria y secundaria Reflections on the Teaching of Geometry in Primary and Secondary Schools. Tecné, Episteme y Didaxis, 32, 55–70.

Kang, K., Kushnarev, S., Wei Pin, W., Ortiz, O., y Chen Shihang, J. (2020). Impact of Virtual Reality on the Visualization of Partial Derivatives in a Multivariable Calculus Class. IEEE Access, 8, 58940–58947. https://doi.org/10.1109/ACCESS.2020.2982972

Oguz, A. (2022). Thirty-five years of the Journal of Computer Assisted Learning: A bibliometric overview. Journal of Computer Assisted Learning (Early View). https://doi.org/10.1111/jcal.12686

Rodríguez, J.L., Romero, I.M. y Codina, A. (2021). The Influence of NeoTrie VR’s Immersive Virtual Reality on Teaching and Learning of Geometry. Mathematics, 9(19), 2411. https://doi.org/10.3390/math9192411

Silva-Díaz, F., Carrillo-Rosúa, J. y Fernández-Plaza, J. A. (2021). Uso de tecnologías inmersivas y su impacto en las actitudes científico-matemáticas del estudiantado de Educación Secundaria Obligatoria en un contexto en riesgo de exclusión social. Educar, 57(1),119-138. https://doi.org/10.5565/rev/educar.1136

Hershkowitz, R. y Vinner, S. (1983). The role of critical and non-critical attributes in the concept image of geometrical concepts. In R. Hershkowitz (Ed.) Proceedings of the 7th PME conference (pp. 223-228). The Weizmann Institute of Science.

Hwang, W. y Hu, S. (2013). Analysis of peer learning behaviors using multiple representations in virtual reality and their impacts on geometry problem. Computers & Education, 62, 308-319. https://doi.org/10.1016/j.compedu.2012.10.005

Jang, S., Vitale, J., Jyung, R. y Black, J. (2017). Direct manipulation is better than passive viewing for learning anatomy in a three-dimensional virtual reality environment. Computers & Education, 106, 150-165. https://doi.org/10.1016/j.compedu.2016.12.009

Dimmel, J. y Bock, C. (3-6 julio, 2017). HandWaver: A Gesture-Based Virtual Mathematical Making Environment. En G. Aldon y J. Trgalova (Eds.) Proceedings of the 13th International Conference on Technology in Mathematics Teaching (pp. 323-330). Lion, France: HAL Repositories.

Elkjaer, M. y Thomsen, L.A. (abril, 2022). Adapting the Balance Model for Equation Solving to Virtual Reality. Digital Experiences in Mathematics Education, 2-30. https://doi.org/10.1007/s40751-022-00103-4

Kaufmann, H. y Schmalstieg, D. (25-29 marzo, 2006). Designing Immersive Virtual Reality for Geometry Education. En S. Julier, J. Chen y M. Göbel (Eds.) Proceedings of the IEEE Virtual Reality Conference (pp. 25-29). Alexandria, VA, USA. https://doi.org/10.1109/VR.2006.48

Kaufmann, H., Schmalstieg, D. y Wagner, M. (2000). Construct3D: A Virtual Reality Application for Mathematics and Geometry Education. Education and Information Technologies, 5, 263–276.

Morales, C-S y Codina, A. (2020). Cognición y metacognición en geometría con realidad virtual utilizando NeoTrie VR. En E. Castro-Rodriguez, E. Castro, P. Flores y I. Segovia (Eds.), Investigación en Educación Matemática. Homenaje a Enrique Castro (pp. 157-178). Madrid: Octaedro

Radianti, J., Majchrzak, T.A., Fromm, J., Wohlgenannt, I. (2020). A Systematic Review of Immersive Virtual Reality Applications for Higher Education: Design Elements, Lessons Learned, and Research Agenda. Computer & Education, 147, 1–29. https://doi:10.1016/j.compedu.2019.103778.

Song, K.S., Lee, W.Y. (2002). A Virtual Reality Application for Geometry Classes. Journal of Computer Assisted Learning, 18, 149–156, https://doi:10.1046/j.0266-4909.2001.00222.x

Tall, D., y Vinner, S. (1981). Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics, 12(2), 151–169. https://doi.org/10.1007/BF00305619

Turégano, P. (2006). Una interpretación de la formación de conceptos y su aplicación en el aula. Ensayos, 21, 35–48. https://doi.org/10.1016/0022-3999(63)90002-3

Vinner, S. (1983). Concept definition, concept image and the notion of function. International Journal of Mathematical Education in Science and Technology, 14(3), 293-305. https://doi.org/10.1080/0020739830140305

Vinner, S. (1991). The role of definitions in the teaching and learning of mathematics. En D. Tall (Ed.), Advanced mathematical thinking (pp. 65-80). Dordrecht, Holanda: Kluwer Academic Press.

Song, K.S. y Lee, W.Y. (2002). A Virtual Reality Application for Geometry Classes. Journal of Computer Assisted Learning, 18, 149–156. http://doi:10.1046/j.0266-4909.2001.00222.x.

Published
23-09-2022
How to Cite
Codina Sánchez, A., García López, M. del M., Romero Albaladejo, I. M. ., & Lupiáñez Gómez, J. L. (2022). Polyhedra with Neotrie VR immersive virtual reality software, an experience with prospective teachers . Interuniversity Electronic Journal of Teacher Formation, 25(3), 1–14. https://doi.org/10.6018/reifop.531841