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Research Articles

Can 3-Dimensional Visualization Enhance Mental Rotation (MR) Ability?: A Systematic Review

ORCID Icon & ORCID Icon
Pages 3683-3698 | Received 05 Dec 2022, Accepted 23 Mar 2023, Published online: 09 Apr 2023

References

  • References marked with an asterisk indicate studies included in the review.
  • *Adams, D. M., Pilegard, C., & Mayer, R. E. (2016). Evaluating the cognitive consequences of playing portal for a short duration. Journal of Educational Computing Research, 54(2), 173–195. https://doi.org/10.1177/07356331156204
  • *Alpiste Penalba, F., Torner Ribé, J., & Brigos Hermida, M. Á. (2019). Exploring virtual reality to improvent engineering students’ spatial abilities pilot study. In Edulearn19 Proceedings: 1st–3rd July 2019: 11th International Conference on Education and Learning Technologies (pp. 6275–6284).
  • *Alqahtani, A. S., Daghestani, L. F., & Ibrahim, L. F. (2017). Semi-immersive virtual reality for improving the mental rotation skill for engineering students: An experimental study. Journal of Computer Engineering & Information Technology, 6(4), 1–9. https://doi.org/10.4172/2324-9307.1000180
  • *Ariali, S. (2020). Training of mental rotation ability in virtual spaces. Journal of Technical Education (JOTED), 8(2), 46–63. https://doi.org/10.48513/joted.v8i2.207
  • *Ariali, S., & Zinn, B. (2021). Adaptive training of the mental rotation ability in an immersive virtual environment. International Journal of Emerging Technologies in Learning, 16(9), 20–39. https://doi.org/10.3991/ijet.v16i09.18971
  • *Baumgartner, E., Ferdig, R. E., & Gandolfi, E. (2022). Exploring the impact of extended reality (XR) on spatial reasoning of elementary students. TechTrends, 66(5), 825–836. https://doi.org/10.1007/s11528-022-00753-6
  • *Bell, J. E., Cheng, C., Klautke, H., Cain, W., Freer, D. J., & Hinds, T. J. (2018). A study of augmented reality for the development of spatial reasoning ability. In 2018 ASEE Annual Conference & Exposition. https://doi.org/10.18260/1-2–29726
  • *Benzer, A. I., & Yildiz, B. (2019). The effect of computer aided 3D modeling activities on pre-service teachers’ spatial abilities and attitudes towards 3D modeling. Journal of Baltic Science Education, 18(3), 335–348. https://doi.org/10.33225/jbse/19.18.335
  • Bilge, A. R., & Taylor, H. A. (2017). Framing the figure: Mental rotation revisited in light of cognitive strategies. Memory & Cognition, 45(1), 63–80. https://doi.org/10.3758/s13421-016-0648-1
  • Chang, C. W., Heo, J., Yeh, S. C., Han, H. Y., & Li, M. (2018). The effects of immersion and interactivity on college students’ acceptance of a novel VR-supported educational technology for mental rotation. IEEE Access, 6, 66590–66599. https://doi.org/10.1109/ACCESS.2018.2878270
  • Chang, C. W., Yeh, S. C., & Li, M. (2020). The adoption of a virtual reality–assisted training system for mental rotation: A partial least squares structural equation modeling approach. JMIR Serious Games, 8(1), e14548. https://doi.org/10.2196/14548
  • Chen, Y. C., and Yang, F. Y. (2014). Probing the relationship between process of spatial problems solving and science learning: An eye tracking approach. International Journal of Science and Mathematics Education, 12(3), 579–603. http://dx.doi.org/10.1007/s10763-013-9504-y
  • Chiu, P. T., Wauck, H., Xiao, Z., Yao, Y., Fu, W. T. (2018). Supporting spatial skill learning with gesture-based embodied design. In 23rd International Conference on Intelligent User Interfaces (pp. 67–71). https://doi.org/10.1145/3172944.3172994
  • Dan, A., & Reiner, M. (2017). EEG-based cognitive load of processing events in 3D virtual worlds is lower than processing events in 2D displays. International Journal of Psychophysiology, 122, 75–84. https://doi.org/10.1016/j.ijpsycho.2016.08.013
  • *Danakorn Nincarean, A., Phon, L. E., Rahman, M. H. A., Utama, N. I., Ali, M. B., Abdi Halim, N. D., & Kasim, S. (2019). The effect of augmented reality on spatial visualization ability of elementary school student. International Journal on Advanced Science Engineering Information Technology, 9(2), 624–629. http://dx.doi.org/10.18517/ijaseit.8.5.4971
  • *de la Torre Cantero, J., Luis Saorin, J., Carbonell, C., del Castillo Cossio, M. D., & Contero, M. (2012). 3D Modeling as an educational tool for the development of skills of the new degrees in Arts. Arte Individuo Y Sociedad, 24(2), 179–193. http://dx.doi.org/10.5209/rev_ARIS.2012.v24.n2.39025
  • Dede, C. (2009). Immersive interfaces for engagement and learning. Science, 323(5910), 66–69. https://doi.org/10.1126/science.1167311
  • *Dere, H. E., & Kalelioglu, F. (2020). The effects of using web-based 3D design environment on spatial visualisation and mental rotation abilities of secondary school students. Informatics in Education, 19(3), 399–424. https://doi.org/10.15388/infedu.2020.18
  • *Dokumacı-Sütçü, N. (2020). A study on the comparison of geometrical-mechanical intelligence games activities that are conducted with concrete materials and in computer environment. Participatory Educational Research, 8(2), 220–239. https://doi.org/10.17275/per.21.37.8.2
  • *Elford, D., Lancaster, S. J., & Jones, G. A. (2022). Exploring the effect of augmented reality on cognitive load, attitude, spatial ability, and stereochemical perception. Journal of Science Education and Technology, 31(3), 322–339. https://doi.org/10.1007/s10956-022-09957-0
  • *Erkoc, M. F., Gecu, Z., & Erkoc, C. (2013). The effects of using Google SketchUp on the mental rotation skills of eighth grade students. Educational Sciences: Theory and Practice, 13(2), 1285–1294.
  • *Flanders, M., & Kavanagh, R. C. (2013). Visualizing compound rotations with virtual reality. The Engineering Design Graphics Journal, 77(3), 15–30.
  • Foroughi, C. K., Wren, W. C., Barragán, D., Mead, P. R., Boehm-Davis, D. A. (2015). Assessing mental rotation ability in a virtual environment with an oculus rift. In Proceedings of the Human Factors and Ergonomics Society Annual Meeting. https://doi.org/10.1177/1541931215591399
  • *Gecu-Parmaksiz, Z., & Delialioğlu, Ö. (2020). The effect of augmented reality activities on improving preschool children’s spatial skills. Interactive Learning Environments, 28(7), 876–889. https://doi.org/10.1080/10494820.2018.1546747
  • *Gómez-Tone, H. C., Martin-Gutierrez, J., Valencia Anci, L., & Mora Luis, C. E. (2020). International comparative pilot study of spatial skill development in engineering students through autonomous augmented reality-based training. Symmetry, 12(9), 1401. https://doi.org/10.3390/sym12091401
  • *Ha, O., & Fang, N. (2018). Interactive virtual and physical manipulatives for improving students’ spatial skills. Journal of Educational Computing Research, 55(8), 1088–1110. https://doi.org/10.1177/073563311769773
  • Hackett, M., & Proctor, M. (2016). Three-dimensional display technologies for anatomical education: A literature review. Journal of Science Education and Technology, 25(4), 641–654. https://doi.org/10.1007/s10956-016-9619-3
  • Hegarty, M., Montello, D. R., Richardson, A. E., Ishikawa, T., & Lovelace, K. (2006). Spatial abilities at different scales: Individual differences in aptitude-test performance and spatial-layout learning. Intelligence, 34(2), 151–176. https://doi.org/10.1016/j.intell.2005.09.005
  • *Hoe, Z. Y., Lee, I. J., Chen, C. H., & Chang, K. P. (2019). Using an augmented reality-based training system to promote spatial visualization ability for the elderly. Universal Access in the Information Society, 18(2), 327–342. https://doi.org/10.1007/s10209-017-0597-x
  • Horan, P. F., & Rosser, R. A. (1984). A multivariate analysis of spatial abilities by sex. Developmental Review, 4, 387–411.
  • *Hu, Y., Zhu, J., Wu, B. (2017). Scaffolding spatial thinking with visualization and embodiment: A 3D multimedia approach. In 2017 IEEE 17th International Conference on Advanced Learning Technologies (ICALT) (pp. 322–324). IEEE. https://doi.org/10.1109/ICALT.2017.53
  • Höffler, T. N., & Leutner, D. (2011). The role of spatial ability in learning from instructional animations–Evidence for an ability-as-compensator hypothesis. Computers in Human Behavior, 27(1), 209–216. https://doi.org/10.1016/j.chb.2010.07.042
  • *Jamil, Z., Saeed, A. A., Madhani, S., Baig, S., Cheema, Z., & Fatima, S. S. (2019). Three‐dimensional visualization software assists learning in students with diverse spatial intelligence in medical education. Anatomical Sciences Education, 12(5), 550–560. https://doi.org/10.1002/ase.1828
  • Jeng, H. L., & Liu, G. F. (2016). Test interactivity is promising in promoting gender equity in females’ pursuit of STEM careers. Learning and Individual Differences, 49, 201–208. http://dx.doi.org/10.1016/j.lindif.2016.06.018
  • Just, M. A., & Carpenter, P. A. (1985). Cognitive coordinate systems: Accounts of mental rotation and individual differences in spatial ability. Psychological Review, 92(2), 137. https://doi.org/10.1037/0033-295X.92.2.137
  • *Kadam, K., Sahasrabudhe, S., Iyer, S. (2012). Improvement of mental rotation ability using blender 3-D. In 2012 IEEE Fourth International Conference on Technology for Education (pp. 60–66). IEEE. https://doi.org/10.1109/T4E.2012.28
  • Kadam, K., Mishra, S., Deep, A., & Iyer, S. (2021). Enhancing engineering drawing skills via fostering mental rotation processes. European Journal of Engineering Education, 46(5), 796–812. https://doi.org/10.1080/03043797.2021.1920891
  • Kaplan, A. D., Cruit, J., Endsley, M., Beers, S. M., Sawyer, B. D., & Hancock, P. A. (2021). The effects of virtual reality, augmented reality, and mixed reality as training enhancement methods: A meta-analysis. Human factors, 63(4), 706–726. http://dx.doi.org/10.1177/0018720820904229
  • Kaufmann, H., Csisinko, M., Strasser, I., Strauss, S., Koller, I., & Glück, J. (2008). Design of a virtual reality supported test for spatial abilities.
  • *Koc, T., & Topu, F. B. (2022). Using three-dimensional geospatial technology in primary school: Students’ achievements, spatial thinking skills, cognitive load levels, experiences and teachers’ opinions. Education and Information Technologies, 27(4), 4925–4954. https://doi.org/10.1007/s10639-021-10810-x
  • *Kok, P. J., & Bayaga, A. (2019). Enhancing graphic communication and design student teachers’ spatial visualisation skills through 3D solid computer modelling. African Journal of Research in Mathematics, Science and Technology Education, 23(1), 52–63. https://doi.org/10.1080/18117295.2019.1587249
  • *Kornkasem, S., & Black, J. B. (2015). Formation of spatial thinking skills through different training methods. Cognitive Processing, 16(1), 281–285. https://doi.org/10.1007/s10339-015-0707-8
  • *Kozhevnikov, M., Royan, J., Blazhenkova, O., & Gorbunov, A. (2008). The role of immersivity in three-dimensional mental rotation. In Design computing and cognition (pp. 143–157). Springer. https://doi.org/10.1007/978-1-4020-8728-8_8
  • Kozhevnikov, M., & Dhond, R. P. (2012). Understanding immersivity: Image generation and transformation processes in 3D immersive environments. Frontiers in Psychology, 3, 284. https://doi.org/10.3389/fpsyg.2012.00284
  • Kozhevnikov, M., & Garcia, A. (2011). Visual-spatial learning and training in collaborative design in virtual environments. Collaborative Design in Virtual Environments, 48, 17–26. https://doi.org/10.1007/978-94-007-0605-7_2
  • *Kuit, V. K., & Osman, K. (2021). CHEMBOND3D e-module effectiveness in enhancing students’ knowledge of chemical bonding concept and visual-spatial skills. European Journal of Science and Mathematics Education, 9(4), 252–264. https://doi.org/10.30935/scimath/11263
  • *Lee, I. J., Chen, C. H., & Chang, K. P. (2016). Augmented reality technology combined with three-dimensional holography to train the mental rotation ability of older adults. Computers in Human Behavior, 65(C), 488–500. https://doi.org/10.1016/j.chb.2016.09.014
  • Lin, P. H., & Yeh, S. C. (2019). How motion-control influences a VR-supported technology for mental rotation learning: From the perspectives of playfulness, gender difference and technology acceptance model. International Journal of Human–Computer Interaction, 35(18), 1736–1746. https://doi.org/10.1080/10447318.2019.1571784
  • Lohman, D. F. (1996). Spatial ability and g. Human Abilities: Their Nature and Measurement, 97(116), 1.
  • Maeda, Y., & Yoon, S. Y. (2013). A meta-analysis on gender differences in mental rotation ability measured by the Purdue spatial visualization tests: Visualization of rotations (PSVT: R). Educational Psychology Review, 25(1), 69–94. https://doi.org/10.1007/s10648-012-9215-x
  • Makransky, G., Terkildsen, T. S., & Mayer, R. E. (2019). Adding immersive virtual reality to a science lab simulation causes more presence but less learning. Learning and Instruction, 60(1), 225–236. https://doi.org/10.1016/j.learninstruc.2017.12.007
  • *Martín‐Dorta, N., Saorín, J. L., & Contero, M. (2008). Development of a fast remedial course to improve the spatial abilities of engineering students. Journal of Engineering Education, 97(4), 505–513. https://doi.org/10.1002/j.2168-9830.2008.tb00996.x
  • *Martin-Dorta, N., Sanchez-Berriel, I., Bravo, M., Hernandez, J., Saorin, J. L., & Contero, M. (2014). Virtual Blocks: A serious game for spatial ability improvement on mobile devices. Multimedia Tools and Applications, 73(3), 1575–1595. https://doi.org/10.1007/s11042-013-1652-0
  • *Martín-Gutiérrez, J., Navarro, R. E., & González, M. A. (2011). Mixed reality for development of spatial skills of first-year engineering students. In 2011 Frontiers in Education Conference (FIE) (pp. T2D, 1). IEEE. https://doi.org/10.1109/FIE.2011.6142707
  • *Martín-Gutiérrez, J., Dominguez, M. G., & Gonzalez, C. R. (2015). Using 3D virtual technologies to train spatial skills in engineering. The International Journal of Engineering Education, 31(1), 323–334.
  • McIntire, J. P., Havig, P. R., & Geiselman, E. E. (2012). What is 3D good for? A review of human performance on stereoscopic 3D displays. In Head-and Helmet-Mounted Displays XVII; and Display Technologies and Applications for Defense, Security, and Avionics VI (Vol. 8383, pp. 280–292). https://doi.org/10.1117/12.920017
  • Moher, D., Liberati, A., Tetzlaff, J., & Altman, D. G. (2010). Preferred reporting items for systematic reviews and meta-analyses: The PRISMA statement. International Journal of Surgery, 8(5), 336–341. https://doi.org/10.1016/j.ijsu.2010.02.007
  • *Molina-Carmona, R., Pertegal-Felices, M. L., Jimeno-Morenilla, A., & Mora-Mora, H. (2018). Virtual reality learning activities for multimedia students to enhance spatial ability. Sustainability, 10(4), 1074. https://doi.org/10.3390/su10041074
  • *Moreau, D. (2013). Differentiating two-from three-dimensional mental rotation training effects. The Quarterly Journal of Experimental Psychology, 66(7), 1399–1413. https://doi.org/10.1080/17470218.2012.744761
  • Naukkarinen, J. K., & Bairoh, S. (2020). STEM: A help or a hinderance in attracting more girls to engineering? Journal of Engineering Education, 109(2), 177–193. https://doi.org/10.1002/jee.20320
  • Neubauer, A. C., Bergner, S., & Schatz, M. (2010). Two-vs. three-dimensional presentation of mental rotation tasks: Sex differences and effects of training on performance and brain activation. Intelligence, 38(5), 529–539. https://doi.org/10.1016/j.intell.2010.06.001
  • Newcombe, N. S., & Stieff, M. (2012). Six myths about spatial thinking. International Journal of Science Education, 34(6), 955–971. https://doi.org/10.1080/09500693.2011.588728
  • *Omar, M., Ali, D., Mokhtar, M., Zaid, N., Jambari, H., & Ibrahim, N. (2019). Effects of Mobile Augmented Reality (MAR) towards students’ visualization skills when learning orthographic projection. International Journal of Emerging Technologies in Learning, 14(20), 106–119. https://doi.org/10.3991/ijet.v14i20.11463
  • Papakostas, C., Troussas, C., Krouska, A., & Sgouropoulou, C. (2021). Exploration of augmented reality in spatial abilities training: A systematic literature review for the last decade. Informatics in Education, 20(1), 107–130. https://doi.org/10.15388/infedu.2021.06
  • Papakostas, C., Troussas, C., Krouska, A., & Sgouropoulou, C. (2022). Personalization of the learning path within an augmented reality spatial ability training application based on fuzzy weights. Sensors, 22(18), 7059. https://doi.org/10.3390/s22187059
  • Parsons, T. D., Larson, P., Kratz, K., Thiebaux, M., Bluestein, B., Buckwalter, J. G., & Rizzo, A. A. (2004). Sex differences in mental rotation and spatial rotation in a virtual environment. Neuropsychologia, 42(4), 555–562. https://doi.org/10.1016/j.neuropsychologia.2003.08.014
  • *Paruchuri, H., Carlin, C. F., Ehrman, J. D., & Marasco, C. C. (2020). Intentional training in two-vs. three-dimensional spatial environments to enhance spatial cognition. Journal of Technology in Behavioral Science, 5, 294–299. https://doi.org/10.1007/s41347-020-00133-y
  • Peters, M., Laeng, B., Latham, K., Jackson, M., Zaiyouna, R., & Richardson, C. (1995). A redrawn Vandenberg and Kuse mental rotations test-different versions and factors that affect performance. Brain and Cognition, 28(1), 39–58. https://doi.org/10.1006/brcg.1995.1032
  • *Rafi, A., Anuar, K., Samad, A., Hayati, M., & Mahadzir, M. (2005). Improving spatial ability using a web-based virtual environment (WbVE). Automation in Construction, 14(6), 707–715. https://doi.org/10.1016/j.autcon.2004.12.003
  • *Rafi, A., & Samsudin, K. (2009). Practising mental rotation using interactive desktop mental rotation trainer (iDeMRT). British Journal of Educational Technology, 40(5), 889–900. https://doi.org/10.1111/j.1467-8535.2008.00874.x
  • Reilly, D., Neumann, D. L., & Andrews, G. (2017). Gender differences in spatial ability: Implications for STEM education and approaches to reducing the gender gap for parents and educators. Visual-spatial ability in STEM education: Transforming research into practice, 195–224. http://dx.doi.org/10.1007/978-3-319-44385-0_10
  • *Rizzo, A. A., Buckwalter, J. G., Neumann, U., Kesselman, C., Thiébaux, M., Larson, P., & van Rooyen, A. (1998). The virtual reality mental rotation spatial skills project. CyberPsychology & Behavior, 1(2), 113–119. https://doi.org/10.1089/cpb.1998.1.113
  • *Roca-González, C., Martín Gutiérrez, J., García-Dominguez, M., & Mato Carrodeguas, M. D. C. (2017). Virtual technologies to develop visual-spatial ability in engineering students. EURASIA Journal of Mathematics, Science and Technology Education, 13(2), 441–468. https://doi.org/10.12973/eurasia.2017.00625a
  • Rodán, A., Contreras, M. J., Elosúa, M. R., & Gimeno, P. (2016). Experimental but not sex differences of a mental rotation training program on adolescents. Frontiers in Psychology, 7, 1050. https://doi.org/10.3389/fpsyg.2016.01050
  • *Samsudin, K., Rafi, A., & Samad Hanif, A. (2011). Training in mental rotation and spatial visualization and its impact on orthographic drawing performance. Journal of Educational Technology & Society, 14(1), 179–186.
  • *Sanandaji, A., Grimm, C., West, R., & Sanchez, C. A. (2021). Developing and validating a computer-based training tool for inferring 2D Cross-sections of complex 3D structures. Human Factors, 00187208211018110. https://doi.org/10.1177/00187208211018110
  • Smallman, H. S., John, M. (2005). Naive realism: Limits of realism as a display principle. In Proceedings of the Human Factors and Ergonomics Society Annual Meeting (Vol. 49, No. 17, pp. 1564–1568). Sage Publications. https://doi.org/10.1177/154193120504901714
  • Terlecki, M. S., Newcombe, N. S., & Little, M. (2008). Durable and generalized effects of spatial experience on mental rotation: Gender differences in growth patterns. Applied Cognitive Psychology, 22(7), 996–1013. https://doi.org/10.1002/acp.1420
  • *Thornton, T., & Lammi, M. (2021). An exploration of augmented reality in an introductory engineering graphics course. Journal of Technology Education, 32(2), 38–55. https://doi.org/10.21061/jte.v32i2.a.3
  • *Toptas, V., Celik, S., & Karaca, E. T. (2012). Improving 8th grades spatial thinking abilities through a 3D modeling program. Turkish Online Journal of Educational Technology-TOJET, 11(2), 128–134.
  • Tuker, C. (2018). Training spatial skills with virtual reality and augmented reality. In N. Lee (Ed.), Encyclopedia of computer graphics and games. Springer. https://doi.org/10.1007/978-3-319-08234-9_173-1
  • *Tumkor, S. (2018). Personalization of engineering education with the mixed reality mobile applications. Computer Applications in Engineering Education, 26(5), 1734–1741. https://doi.org/10.1002/cae.21942
  • Uttal, D. H., Meadow, N. G., Tipton, E., Hand, L. L., Alden, A. R., Warren, C., & Newcombe, N. S. (2013). The malleability of spatial skills: A meta-analysis of training studies. Psychological Bulletin, 139(2), 352. https://doi.org/10.1037/a0028446
  • *Wang, C. Y., Yeh, S. C., Wang, J. L., Yang, S. C., Rizzo, A. (2011). A 3D motion-controlled method for the training of mental rotation. In 2011 IEEE 11th International Conference on Advanced Learning Technologies (pp. 1–3). IEEE. https://doi.org/10.1109/Icalt.2011.8
  • *Wang, S., Hu, Y., Wang, Q., Wu, B., Shen, Y., & Carr, M. (2020). The development of a multidimensional diagnostic assessment with learning tools to improve 3-D mental rotation skills. Frontiers in Psychology, 11(305), 1–19. https://doi.org/10.3389/fpsyg.2020.00305
  • Wexler, M., Kosslyn, S. M., & Berthoz, A. (1998). Motor processes in mental rotation. Cognition, 68(1), 77–94. https://doi.org/10.1016/S0010-0277(98)00032-8
  • Wiedenbauer, G., & Jansen-Osmann, P. (2008). Manual training of mental rotation in children. Learning and Instruction, 18(1), 30–41. https://doi.org/10.1016/j.learninstruc.2006.09.009
  • *Yeh, S. C., Wang, J. L., Wang, C. Y., Lin, P. H., Chen, G. D., & Rizzo, A. (2014). Motion controllers for learners to manipulate and interact with 3D objects for mental rotation training. British Journal of Educational Technology, 45(4), 666–675. https://doi.org/10.1111/bjet.12059
  • Yue, J. (2008). Spatial visualization by realistic 3D views. The Engineering Design Graphics Journal, 72(1), 28–38.
  • *Yurt, E., & Sunbul, A. M. (2012). Effect of modeling-based activities developed using virtual environments and concrete objects on spatial thinking and mental rotation skills. Educational Sciences: Theory and Practice, 12(3), 1987–1992.
  • *Zander, S., Wetzel, S., & Bertel, S. (2016). Rotate it!–Effects of touch-based gestures on elementary school students’ solving of mental rotation tasks. Computers & Education, 103(C), 158–169. https://doi.org/10.1016/j.compedu.2016.10.007
  • *Zhou, Y., Xu, T., Yang, H., & Li, S. (2022). Improving spatial visualization and mental rotation using forspatial through shapes and letters in virtual environment. IEEE Transactions on Learning Technologies, 15(3), 326–337. https://doi.org/10.1109/TLT.2022.3170928

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