Assisting Students to Understand Mathematical Graphs Using Virtual Reality Application

  • Shirsh Sundaram
  • Ashish Khanna
  • Deepak GuptaEmail author
  • Ruby Mann
Part of the Studies in Computational Intelligence book series (SCI, volume 875)


Many face difficulties in understanding mathematical equations and their graphs. Implementing virtual reality to plot graphs of the mathematical equation will help to understand the equations better. Virtual reality (VR) is a computer-generated environment in which a client can explore and collaborate with it. Virtual reality system allows a user to view three-dimensional images. VR has a wide range of applications. VR is being utilized in entertainment for gaming or 3D movies, in medicine for simulating the surgical environment, in robotics development and many more. VR has a wide scope of application in the education system though only a few kinds of research have been proposed. In this paper, we have introduced a new approach to making the user understand any mathematical equation better by plotting their graph using virtual reality application. Unity, a real-time engine and C# are being used to develop this novel approach. The proposed method will be compared with current method of learning mathematical equations.


Virtual reality Three-dimensional displays Mathematical equations Computer-generated environment 


  1. 1.
    Comparison of VR headsets: Project Morpheus vs. Oculus Rift vs. HTC Vive. Data Reality. Archived from the original on August 20, 2015. Retrieved August 15, 2015.Google Scholar
  2. 2.
    Kelly, K. (2016). The untold story of magic leap, the world’s most secretive startup. WIRED. Retrieved March 13, 2017.Google Scholar
  3. 3.
    Rosenberg, L. (1992). The use of virtual fixtures as perceptual overlays to enhance operator performance in remote environments (Technical Report AL-TR-0089). Wright-Patterson AFB OH: USAF Armstrong Laboratory.Google Scholar
  4. 4.
    Gulrez, T., & Hassanien, A. E. (2012). Advances in robotics and virtual reality (p. 275). Berlin: Springer-Verlag. ISBN 9783642233623.Google Scholar
  5. 5.
    Rosenberg, L. (1993). Virtual fixtures as tools to enhance operator performance in telepresence environments. In SPIE Manipulator Technology.Google Scholar
  6. 6.
    Gonçalves, R., Pedrozo, A. L., Coutinho, E. S. F., Figueira, I., & Ventura, P. (2012). Efficacy of virtual reality exposure therapy in the treatment of PTSD: A systematic review. PLoS One, 7(12), e48469. ISSN 1932-6203. PMC 3531396. PMID 23300515.CrossRefGoogle Scholar
  7. 7.
    Westwood, J. D. (2014). Medicine meets virtual reality 21: NextMed/MMVR21 (p. 462). IOS Press.Google Scholar
  8. 8.
    Pan, Z., Cheok, A. D., Yang, H., Zhu, J., & Shi, J. (2006). Virtual reality and mixed reality for virtual learning environments. Computers & Graphics, 30(1), 20–28.CrossRefGoogle Scholar
  9. 9.
    Manseur, R. (2005). Virtual reality in science and engineering education. In Frontiers in Education, 2005. FIE’05. Proceedings 35th Annual Conference (p. F2E–8).Google Scholar
  10. 10.
    Merchant, Z., Goetz, E. T., & Cifuentes, L. (2014). Effectiveness of virtual reality-based instruction on students’ learning outcomes in K-12 and higher education: A meta-analysis. Computers & Education.Google Scholar
  11. 11.
    Bell, J. T., & Fogler, S. H. (1995). The investigation and application of virtual reality as an educational tool. In Proceedings of the American Society for Engineering Education Annual Conference, Anaheim, CA.Google Scholar
  12. 12.
    Do, V. T., & Lee, J. W. (2007). Geometry education using augmented reality. Paper presented at Workshop 2: Mixed Reality Entertainment and Art (at ISMAR 2007), Nara, Japan.Google Scholar
  13. 13.
    Liebo, R. (2006). Visualization of complex function graphs in augmented reality (Master’s thesis). Vienna University of Technology, Vienna.Google Scholar
  14. 14.
    Taxén, G., & Naeve, A. (2001). CyberMath: Exploring open issues in VR-based learning. In SIGGRAPH 2001 Educators Program, SIGGRAPH 2001 Conference Abstracts and Applications (pp. 49–51).Google Scholar
  15. 15.
    Kaufmann, H., & Schmalstieg, D. (2003). Mathematics and geometry education with collaborative augmented reality. Computers & Graphics, 27(3), 339–345.Google Scholar
  16. 16.
    Kaufmann, H. (2004). Geometry education with augmented reality. Vienna University of Technology.Google Scholar
  17. 17.
    Kaufmann, H., & Dünser, A. (2007). Summary of usability evaluations of an educational augmented reality application. In R. Shumaker (Ed.), HCI International Conference (HCII 2007) (Vol. 14, pp. 660–669). Beijing, China: Springer-Verlag Berlin Heidelberg.Google Scholar
  18. 18.
    Winn, W., & Bricken, W. (1992). Designing virtual worlds for use in mathematics education: The example of experiential algebra. Educational Technology, 32(12), 12–19.Google Scholar
  19. 19.
    Yeh, A., & Nason, R. (2004). VRMath: A 3D microworld for learning 3D geometry. In Proceedings of World Conference on Educational Multimedia, Hypermedia & Telecommunications, Lugano, Switzerland.Google Scholar
  20. 20.
    Lee, E. A., Wong, K. W., & Fung, C. C. (2010). How does desktop virtual reality enhance learning outcomes? A structural equation modeling approach. Computers & Education, 55(4), 1424–1442.CrossRefGoogle Scholar
  21. 21.
    Pantelidis, V. S. (1993). Virtual reality in the classroom. Educational Technology Research and Development.Google Scholar

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Shirsh Sundaram
    • 1
  • Ashish Khanna
    • 1
  • Deepak Gupta
    • 1
    Email author
  • Ruby Mann
    • 1
  1. 1.Maharaja Agrasen Institute of TechnologyDelhiIndia

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