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Exploring Dynamic Geometry Through Immersive Virtual Reality and Distance Teaching

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Part of the book series: Mathematics Education in the Digital Era ((MEDE,volume 17))

Abstract

Virtual reality provides an interesting environment to teach and learn 3D geometry. In this article, we discuss the use of Neotrie VR as a 3D whiteboard for distance teaching that we have carried out during the 2020–21 academic year, with students of the Mathematics degree at the University of Almería. We describe a concrete case on parametric equations of surfaces, for which a 3D graphing calculator has been implemented, as well as a stereoscopic view camera to show 3D videos, which the students can view with cheap stereoscopic glasses for mobile phones. From the side of the teacher, it is certainly much easier to explain 3D concepts on a 3D whiteboard like Neotrie than to use paper and pencil, blackboard, or any 2D digital tablet. Student feedback is also analyzed after using various supports for manipulating and observing learning, including GeoGebra, which can also serve to know how to use virtual reality for distance learning.

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Notes

  1. 1.

    https://www.GeoGebra.org.

  2. 2.

    https://grib3d.com.

  3. 3.

    https://shapes.learnteachexplore.com.

  4. 4.

    See for instance the project Holo-Math (https://holo-math.org/) to application in mathematics.

  5. 5.

    https://4dtoys.com.

  6. 6.

    http://www.scientix.eu/projects/project-detail?articleId=689498.

  7. 7.

    http://www2.ual.es/neotrie.

  8. 8.

    https://www.youtube.com/watch?v=SVYH6pgOr10.

  9. 9.

    https://topologia.wordpress.com.

  10. 10.

    https://youtu.be/aTFu6RqC2ZQ.

  11. 11.

    https://youtu.be/2irYPYOCkr4.

  12. 12.

    https://youtu.be/oq4Xk99Sa64.

  13. 13.

    https://youtu.be/rlbr-s0wg4M.

  14. 14.

    https://youtu.be/ALr5DdcAvYY.

  15. 15.

    http://www2.ual.es/neotrie/project/introduccion-a-la-topologia-algebraica.

  16. 16.

    https://engagevr.io.

  17. 17.

    https://www.youtube.com/watch?v=_T2-9MwA5JI.

  18. 18.

    Geometric artwork in augmented and virtual realityhttps://www.antonbakker.com/momath.

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Acknowledgements

To Diego Cangas for the daily technical support, and to the members of the Neotrie project, who with their contributions are enriching the software to make it more useful and interesting to teach geometry. Special thanks to Isabel Romero for the accurate improvements made in all the revisions of this work, as well as the effort and substantial changes proposed by  the referees. The author was partially funded by the Ministry of Science and Innovation grant PID2020-117971GB-C22 and FEDER-Junta de Andalucía grant UAL2020-SEJ-B2086.

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Correspondence to José L. Rodríguez .

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Rodríguez, J.L. (2022). Exploring Dynamic Geometry Through Immersive Virtual Reality and Distance Teaching. In: Richard, P.R., Vélez, M.P., Van Vaerenbergh, S. (eds) Mathematics Education in the Age of Artificial Intelligence. Mathematics Education in the Digital Era, vol 17. Springer, Cham. https://doi.org/10.1007/978-3-030-86909-0_15

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