Learning Basic Mathematical Functions with Augmented Reality

  • José CerqueiraEmail author
  • Cristina Sylla
  • João Martinho Moura
  • Luís Ferreira
Conference paper
Part of the Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering book series (LNICST, volume 265)


This article presents the development of a serious game targeting secondary school students, that uses Augmented Reality (AR) to visualize, manipulate and explore mathematical concepts, particularly linear, quadratic, exponential and trigonometric (sine and cosine) functions. The motivation behind the development of the AR application was to provide students with learning materials that facilitate the exploration of a mathematical subject that is often considered difficult to learn. Whereas traditional resources for teaching and learning mathematics use manuals and scientific calculators to solve problems, the application, named FootMath, simulates a 3D football game, where the users can manipulate and explore the different functions using parameters with different values to score goals. Additionally, we discuss the potential of AR games as educational and engaging tools that can be used to facilitate learning, especially problem based learning and logical reasoning.


Augmented Reality Education Math STEM Functions Game based learning 



Cristina Sylla acknowledges the funding from the FCT (Portuguese Foundation for Science and Technology) and the European Operational Programme Human Capital (POCH), grant SFRH/BPD/111891/2015.


  1. 1.
    Cerqueira, J., Cleto, B., Moura, J., Sylla, C.: Visualizing platonic solids with augmented reality. In: Proceedings of the 17th ACM Conference on Interaction Design and Children (IDC 2018), pp. 489–492. ACM, New York (2018).
  2. 2.
    Clement, L.: What do students really know about functions? Math. Teacher 94(9), 745–748 (2001)Google Scholar
  3. 3.
    Lapp, D., Cyrus, V.: Using data-collection devices to enhance students’ understanding. Math. Teacher 93(6), 504–510 (2000)Google Scholar
  4. 4.
    Papert, S.: The Children’s Machine: Rethinking School in the Age of the Computer. Harvester Wheatsheaf, New York (1993)Google Scholar
  5. 5.
    Resnick, M.: Lifelong Kindergarten: Cultivating Creativity Through Projects, Passion, Peers, and Play. MIT Press, Cambridge (2017)CrossRefGoogle Scholar
  6. 6.
    Wright, G.: Student-centered learning in higher education. Int. J. Teach. Learn. High. Educ. 23, 92–97 (2011)Google Scholar
  7. 7.
    Hess, F.M., Hochleitner, T., Saxberg, B.: E-Rate, Education Technology, and School reform. American Enterprise Institute, 22 October 2013Google Scholar
  8. 8.
    Hohensee, C.: Backward transfer: an investigation of the influence of quadratic functions instruction on students’ prior ways of reasoning about linear functions. Math. Think. Learn. 16(2), 135–174 (2014). Scholar
  9. 9.
    Drigas, A., Pappas, M.: On line and other game-based learning for mathematics. Int. J. Online Eng. (iJOE) 11, 62–67 (2015). Scholar
  10. 10.
    Griffiths, M.: The educational benefits of videogames. Educ. Health 20, 47–51 (2002)Google Scholar
  11. 11.
    Kelley, T., Knowles, J.: A conceptual framework for integrated STEM education. Int. J. STEM Educ. 3, 11 (2016). Scholar
  12. 12.
    Billinghurst, M., Dunser, A.: Augmented reality in the classroom. Computer 45(7), 56–63 (2012)CrossRefGoogle Scholar

Copyright information

© ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering 2019

Authors and Affiliations

  1. 1.Instituto Politécnico do Cávado e do AveBarcelosPortugal
  2. 2.Research Centre on Child Studies (CIEC)Universidade do MinhoBragaPortugal

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