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Learning Spatial Transformations and their Math Representations through Embodied Learning in Augmented Reality

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Learning and Collaboration Technologies. Novel Technological Environments (HCII 2022)

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Abstract

In Computer Aided Design, Computer Graphics, Robotics, etc., students suffer from inefficient and non-proficient use of the 3D modeling software due to a lack of mathematical knowledge. Deficient knowledge and skills may lead students to use the modeling software through trial-and-error without understanding the algorithms and mathematics. Spatial/geometric transformation is recognized as one of the key factors in learning 3D modeling software. This paper presents a newly developed educational Augmented Reality (AR) mobile application to help students intuitively learn the geometric reasoning of transformation matrices and the corresponding trigonometric equations through play. The application, developed in primary and advanced levels, intends to facilitate the understanding of fundamentals of spatial transformations and their mathematical representations in a self-learning approach. The results of a pilot user study conducted on 7 undergraduate students for the primary level reveal that students’ math scores improved after playing with the application.

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Acknowledgements

. This material is based upon work supported by the National Science Foundation under Grant No. 2119549 and Texas A&M University’s grants.

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Authors and Affiliations

  1. Texas A&M University, College Station, TX, 77840, USA

    Zohreh Shaghaghian, Heather Burte, Dezhen Song & Wei Yan

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  1. Zohreh Shaghaghian
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  2. Heather Burte
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  4. Wei Yan
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Correspondence to Wei Yan .

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Editors and Affiliations

  1. Department of Multimedia and Graphic Art, Cyprus University of Technology, Limassol, Cyprus

    Panayiotis Zaphiris

  2. Research Center on Interactive Media, Smart Systems and Emerging Technologies (CYENS), Cyprus University of Technology, Limassol, Cyprus

    Andri Ioannou

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Shaghaghian, Z., Burte, H., Song, D., Yan, W. (2022). Learning Spatial Transformations and their Math Representations through Embodied Learning in Augmented Reality. In: Zaphiris, P., Ioannou, A. (eds) Learning and Collaboration Technologies. Novel Technological Environments. HCII 2022. Lecture Notes in Computer Science, vol 13329. Springer, Cham. https://doi.org/10.1007/978-3-031-05675-8_10

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  • DOI: https://doi.org/10.1007/978-3-031-05675-8_10

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