Abstract
In school mathematics, representations of solid figures and three-dimensional geometric objects generally rely on two-dimensional projective representation modes on students’ textbooks. In learning environments, these representation modes create a kind of cognitive filter, which prevents students with low spatial ability to comprehend and envision three-dimensional objects. Studies showed that spatial ability could be improved by means of suitable concrete models and computer created models in learning settings. Thus, fostering students’ spatial ability helps to overcome and eliminate negative effects of this cognitive filter. However, some studies suggest that this cognitive filter may even occur while working with computer created objects since computers generally rely on two-dimensional digitizer panels on screen technology. On the other hand, augmented reality interface allows a new way of learning environment which could help to overcome this cognitive filter by providing unique representation modes and opportunities to foster students’ spatial ability. In this study, an intervention with an augmented reality interface to foster students’ spatial understandings were reported in terms students’ invented strategies for spatial concepts. In this sense, eight seventh graders worked on spatial tasks with an augmented reality interface in learning settings. Findings revealed that while proceeding on spatial tasks, students could invent, use and modify spatial strategies. Moreover, students’ spatial understanding was fostered as they progressed on tasks with the designed augmented reality interface. This study is a part of an educational design research which was focused on design and development a proper augmented reality tool to foster spatial ability of students. As a result of this study, with the help of combination of augmented reality interface and spatial tasks, teachers will be provided with a new tool to visualize mathematical concepts and students could be supported with this new tool as a new learning material.
Similar content being viewed by others
Data availability
The data that support the findings of this study are not publicly available due to containing information that could compromise the privacy of research participants, since most of the data were gathered through video recordings.
Code availability
The augmented reality software which was designed and developed for this study is available as an apk format for android devices from the corresponding author on reasonable request.
References
Alcañiz, M., Contero, M., Pérez-López, D. C., & Ortega, M. (2010). Augmented reality technology for education. In S. Soomro (Ed.), New achievements in technology education and development (pp. 247–256). InTech.
Bodner, G. M., & Guay, R. B. (1997). The Purdue visualization of rotations test. The Chemical Educator, 2(4), 1–17.
Brown, D. L., & Wheatley, G. H. (1997). Components of imagery and mathematical understanding. Focus on Learning Problems in Mathematics, 19(1), 45–70.
Burin, D. I., Delgado, A. R., & Prieto, G. (2000). Solution strategies and gender differences in spatial visualization tasks. Psicológica, 21(2), 275–286.
Chen, C. J. (2006). Are Spatial Visualization Abilities Relevant to Virtual Reality? E-Journal of Instructional Science and Technology, 9(2), 1–16.
Creswell, J. W., & Poth, C. N. (2016). Qualitative inquiry and research design: Choosing among five approaches. Sage publications.
Dunleavy, M., Dede, C., & Mitchell, R. (2009). Affordances and limitations of immersive participatory augmented reality simulations for teaching and learning. Journal of Science Education and Technology, 18(1), 7–22.
Eme, P.-E., & Marquer, J. (1999). Individual strategies in a spatial task and how they relate to aptitudes. European Journal of Psychology of Education, 14(1), 89–108.
Garrett, S. M. (2011). Human Dignity and The Imagination. Nauka – Etyka – Wiara, 87–96.
Gitimu, P. N., & Workman, J. E. (2008). Identification of strategies used for solving items on the apparel spatial visualization test. Clothing and Textiles Research Journal, 26(1), 57–65.
Gluck, J., & Fitting, S. (2003). Spatial strategy selection: Interesting incremental information. International Journal of Testing, 3(3), 293–308.
Gorgorió, N. (1998). Exploring the functionality of visual and non-visual strategies in solving rotation problems. Educational Studies in Mathematics, 35(3), 207–231.
Guay, R. B. (1977). Purdue Spatial Visualization Test - Visualization of Rotations. Purdue Research Foundation.
Haniff, D. J., & Baber, C. (2003). User evaluation of augmented reality systems. Proceedings on Seventh International Conference on Information Visualization, 2003. IV 2003.
Hays, T. A. (1996). Spatial abilities and the effects of computer animation on short-term and long-term comprehension. Journal of Educational Computing Research, 14(2), 139–155.
Hsi, S., Linn, M. C., & Bell, J. E. (1997). The role of spatial reasoning in engineering and the design of spatial instruction. Journal of Engineering Education, 86(2), 151–158.
Kaufmann, H. (2004). Geometry education with augmented reality [Doctoral dissertation, Vienna University of Technology]. Vienna, Austria.
Kaufmann, H., & Dünser, A. (2007). Summary of usability evaluations of an educational augmented reality application. International conference on virtual reality.
Kayhan, E. B. (2012). Strategies and difficulties in solving spatial visualization problems [Doctoral Dissertation, Middle East Technical University]. Ankara, Turkey.
Khoza, L. S., & Workman, J. E. (2009). Effects of culture and training on perceptual learning style and spatial task performance in apparel design. Clothing and Textiles Research Journal, 27(1), 62–79.
Lai, E. R. (2011). Collaboration: A literature review (Research Report. Pearson, Issue. Retrieved Retrieved 2016, June 2 from https://www.images.pearsonassessments.com/images/tmrs/collaboration-review.pdf
Lindgren, R., & Moshell, J. M. (2011). Supporting children's learning with body-based metaphors in a mixed reality environment. Proceedings of the 10th International Conference on Interaction Design and Children.
Lohman, D. F., & Kyllonen, P. C. (1983). Individual differences in solution strategy on spatial tasks. In D. F. Dillon & R. R. Schmeck (Eds.), Individual differences in cognition (pp. 105–135). Academic.
Ma, H.-L., Wu, D., Chen, J., & Hsieh, K. (2009). Mitchelmore’s development stages of the right rectangular prisms of elementary school students in Taiwan. Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education.
Matcha, W., & Rambli, D. R. A. (2011). Preliminary investigation on the use of augmented reality in collaborative learning. International Conference on Informatics Engineering and Information Science, Berlin, Heidelberg.
Matlock-Hetzel, S. (1997). Basic Concepts in Item and Test Analysis Southwest Educational Research Asociation, Austin, Tx.
Mayer, R. E., & Sims, V. K. (1994). For whom is a picture worth a thousand words? Extensions of a dual-coding theory of multimedia learning. Journal of Educational Psychology, 86(3), 389.
Merriam, S. B. (1995). What can you tell from an N of 1?: Issues of validity and reliability in qualitative research. PAACE Journal of Lifelong Learning, 4, 51–60.
Milgram, P., Takemura, H., Utsumi, A., & Kishino, F. (1995). Augmented reality: A class of displays on the reality-virtuality continuum. Telemanipulator and telepresence technologies.
Nieveen, N., & Folmer, E. (2013). Formative evaluation in educational design research. In J. Van den Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational Design Research (pp. 152–169). Routledge.
Olkun, S. (2003). Making connections: Improving spatial abilities with engineering drawing activities. International Journal of Mathematics Teaching and Learning, 3(1), 1–10.
Özçakır, B. (2017). Fostering spatial abilities of seventh graders through augmented reality environment in mathematics education: a design study. Doctoral dissertation, Middle East Technical University
Özdemir, D., & Özçakır, B. (2019). Kesirlerin öğretiminde artırılmış gerçeklik etkinliklerinin 5. sınıf öğrencilerinin matematik başarılarına ve tutumlarına etkisinin incelenmesi. Adıyaman Üniversitesi Eğitim Bilimleri Dergisi, 9(1), 21–41.
Pelaprat, E., & Cole, M. (2011). “Minding the gap”: Imagination, creativity and human cognition. Integrative Psychological Behavioral Science, 45(4), 397–418.
Pittalis, M., & Christou, C. (2010). Types of reasoning in 3D geometry thinking and their relation with spatial ability. Educational Studies in Mathematics, 75(2), 191–212.
Plomp, T. (2013). Educational design research: An introduction. In N. Nieveen & T. Plomp (Eds.), An introduction to educational design research (pp. 11–50). SLO.
Richey, R. C., & Klein, J. D. (2014). Design and development research. In Handbook of research on educational communications and technology (pp. 141–150). Springer.
Santosh, B. K. (2013). Why Technology is Inevitable in the Vision of a 21st Century School?
Schober, M. F. (2009). Spatial dialogue between partners with mismatched abilities. In K. R. Coventry, T. Tenbrink, & J. A. Bateman (Eds.), Spatial language and dialogue (pp. 23–39). Oxford University Press.
Shelton, B. E., & Hedley, N. R. (2004). Exploring a cognitive basis for learning spatial relationships with augmented reality. Technology, Instruction, Cognition and Learning, 1(4), 323–357.
Smith, B. L., & MacGregor, J. T. (1992). What is collaborative learning? In A. S. Goodsell, M. R. Maher, & V. Tinto (Eds.), Collaborative Learning: A Sourcebook for Higher Education (pp. 10–30). Syracuse University.
Snow, R. E. (1980). Aptitude processes. Aptitude, Learning, and Instruction, 1, 27–63.
Strong, S., & Smith, R. (2001). Spatial visualization: Fundamentals and trends in engineering graphics. Journal of Industrial Technology, 18(1), 1–6.
Sundberg, S. E. (1996). Effect of spatial training on spatial ability and mathematical achievement as compared to traditional geometry instruction [Doctoral dissertation, University of Missouri]. Kansas City.
Szalavári, Z., Schmalstieg, D., Fuhrmann, A., & Gervautz, M. (1998). “Studierstube”: An environment for collaboration in augmented reality. Virtual Reality, 3(1), 37–48.
Tartre, L. A. (1990). Spatial orientation skill and mathematical problem solving. Journal for research in Mathematics Education, 21(3), 216–229.
Uygan, C., & Kurtuluş, A. (2016). Effects of Teaching Activities via Google Sketchup and Concrete Models on Spatial Skills of Preservice Mathematics Teachers. Turkish Journal of Computer and Mathematics Education, 7(3), 510–535. https://doi.org/10.16949/turkbilmat.273993
Varma, S. (2006). Preliminary item statistics using point-biserial correlation and p-values. Retrieved 2016, July 7 from http://www.eddata.com/resources/publications/eds_point_biserial.pdf
Vilkoniene, M. (2009). Influence of augmented reality technology upon pupils’ knowledge about human digestive system: The results of the experiment. Online Submission, 6(1), 36–43.
Vincenzi, D. A., Valimont, B., Macchiarella, N., Opalenik, C., Gangadharan, S. N., & Majoros, A. E. (2003). The effectiveness of cognitive elaboration using augmented reality as a training and learning paradigm. Proceedings of the Human Factors and Ergonomics Society Annual Meeting.
Wang, X., & Dunston, P. S. (2006). Compatibility issues in augmented reality systems for AEC: An experimental prototype study. Automation in Construction, 15(3), 314–326.
Wilken, R., & Goggin, G. (2013). Mobile technology and place. Routledge.
Workman, J. E., & Lee, S.-H. (2004). A cross-cultural comparison of the apparel spatial visualization test and paper folding test. Clothing and Textiles Research Journal, 22(1–2), 22–30.
Yin, R. K. (1994). Discovering the future of the case study. Method in evaluation research. Evaluation Practice, 15(3), 283–290.
Acknowledgements
This article is a revision of BO’s doctoral dissertation from Middle East Technical University, Turkey. We acknowledge and thank the contributions from members of thesis committee who shared their perspectives, thereby enabling this research to be completed.
Author information
Authors and Affiliations
Contributions
This research is a revision from BO’s doctoral dissertation with supervision of EC. The authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Ethics approval
All procedures performed in studies involving human participants were in accordance with the ethical standards of Human Studies Commission at Applied Ethics Research Center of Middle East Technical University with protocol number 2016-EGT-019.
Consent to participate
Informed consent was obtained from all individual participants included in the study.
Competing interests
To the best of our knowledge, the named authors have no conflict of interest or financial, relevant to this article. The authors declare that they have no competing interests.
Additional information
Publisher's note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
This article is a revision of BO’s doctoral dissertation from Middle East Technical University, Turkey.
Rights and permissions
About this article
Cite this article
Özçakır, B., Çakıroğlu, E. Fostering spatial abilities of middle school students through augmented reality: Spatial strategies. Educ Inf Technol 27, 2977–3010 (2022). https://doi.org/10.1007/s10639-021-10729-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10639-021-10729-3