About the Usage of the Augmented Reality Technology in Mathematics and Physics Learning

The purpose of the work is the investigation of the modern approaches to augmented reality usage in mathematics and physics learning and the development of mobile application with graphical tips in the augmented reality mode for solving the dynamics typical problems.

Materials and methods. The review of the modern articles on the augmented reality usage for mathematics and physics learning is provided; the iOS applications usage in mathematics learning such as GeoGebraAR for second order surfaces learning; the game MultiplicationAR for the multiplication table studying in an fascinating way; VectorAR application for vectors, cross and dot products, Cartesian and skew coordinate systems learning and iOS apps for physics learning such as Physics-Lab for conducting of the experiments with electrical circuits connections in the augmented reality, astrophysics and electromagnetism learning; Galileo application for accompanying of the theoretical material in physics with experiments to demonstrate paradoxes in mechanics, gravitational slingshot etc.; Arious application for students’ acquaintance with famous physicists and their discoveries in the augmented reality are considered. The analysis of tools for lecturers that can be used for the augmented reality content creation, such as HP Reveal and web-application Augment is performed. It should be noted the high personal interests of lecturers for the augmented reality technology implementation.

Results. In the course of the work, the difficulties encountered by students in the study of mathematics and physics and possibilities of the augmented reality usage to overcome these difficulties are studied. A mobile application with the ability to receive graphical tips for solving dynamics problems that aimed at students with difficulties of forces and their projections understanding is developed. The methods for the mobile application are developed based on the basic classes of ARKit framework such as SCNNode, SCNBox, SCNPlane, SCNText, SCNGeometry, SCNGeometryElement, SCNShape, SCNMaterial etc. To conduct the experiments a pilot group of 14 random students is created, 9 of which experienced difficulties in solving some types of dynamic problems. The results of the experiment show a positive attitude of students to use of the augmented reality. 7 of 9 students who had difficulties got the skills to solve typical dynamic problems.

Conclusion. Based on results of the research, we can conclude about the effectiveness of the augmented reality usage for studying of the abstract concepts in mathematics and physics. The developed mobile application with graphical tips in the augmented reality mode has improved the students’ performance in the pilot group. The lecturers play an important role in the implementation of AR-technology in the educational process. They help to maintain the student’s interest to AR-technology throughout the lesson. The disadvantages of the augmented reality applications include their narrow focus on studying of specific process, phenomenon or concept. The results of research can be applied in the educational process for mathematics and physics learning in order to increase the motivation and interest of students.

1. Figueiredo M. Teaching Mathematics with Augmented Reality. 12th International conference on technology in mathematics teaching. 2015: 183.

2. Kuhn J., Nussbaumer A., Pirker J., Karatzas D., Pagani A., Conlan O., Memmel M., Christina M. Steiner, Gutl C., Albert D., Dengel A. Advancing Physics Learning Through Traversing a Multi-Modal Experimentation Space. Workshop Proceedings of the 11th International Conference on Intelligent Environments. 2015: 373-380. DOI: 10.3233/978-161499-530-2-373.

3. Luttenberger S., Wimmer S., Paechter M. Spotlight on math anxiety. Psychology Research and Behavior Management. 2018; 11: 311-322. DOI: 10.2147/PRBM.S141421.

4. García-Santillán A., Escalera-Chávez M., Moreno-Garcia E., Santana-Villegas J. Factors that Explains Student Anxiety toward Mathematics. Eurasia Journal of Mathematics, Science & Technology Education. 2015; 12(2): 361-372. DOI: 10.12973/eurasia.2016.1216a.

5. Jackson, E. Mathematics anxiety in student teachers [Internet]. Practitioner Research in Higher Education. 2008; 2(1): 36-42. Available from: http://insight.cumbria.ac.uk/91/

6. Ashcraft M., Krause J. Working memory, math performance, and math anxiety. Psychonomic Bulletin & Review. 2007; 14 (2): 243-248. DOI: 10.3758/BF03194059.

7. Bishop A. Review of research on visualization in mathematics education. Focus on Learning Problems in Mathematics. 1989. 11 (1): 7-16.

8. Serin H., Oz Yu. Technology-integrated Mathematics Education at the Secondary School Level. International Journal of Social Sciences & Educational Studies. 2017; 3; 4: 148-155. DOI:10.5296/ijld.v7i4.12082

9. Becker S.A., Brown M., Dahlstrom E., Davis A., DePaul K., Diaz V., Pomerantz J. NMC Horizon Report: 2018 Higher Education Edition. EDUCAUSE: Louisville, KY, USA, 2018. ISBN: 978-1-933046-01-3.

10. Kounavis C.D., Kasimati A.E., Zamani E.D. Enhancing the Tourism Experience through Mobile Augmented Reality: Challenges and Prospects. Int. J. Eng. Bus. Manag. 2012; 4: 1–6. DOI:10.5772/51644.

11. Grigor’yeva T.I., Potapov A.A., Pronina O.I. Augmented reality in education. Materialy Mezhdunarodnoy Internet-konferentsii “Virtual’naya real’nost’ sovremennogo obrazovaniya. VRME 2018 = Materials of the International Internet conference “Virtual reality of modern education. VRME 2018. (October 8-11, Moscow). 2018: 34-39. (In Russ.)

12. Nabokova L.S., Zagidullina F.R. Prospects for the implementation of augmented and virtual reality technologies in the sphere of the educational process of higher education. Professional’noye obrazovaniye v sovremennom mire = Vocational education in the modern world. 2019; 9; 2: 27102719. DOI: 10.15372/PEMW20190208. (In Russ.)

13. Sirakaya M, Sirakaya D. A. Trends in Educational Augmented Reality Studies: A Systematic Review. Malaysian Online Journal of Educational Technology. 2018; 6; 2: 60-74. DOI:10.17220/mojet.2018.04.005.

14. Saidin N.F., Abd halim N.D., Yahaya N. A Review of Research on Augmented Reality in Education: Advantages and Applications. International Education Studies. 2015; 8(13): 8. DOI: 10.5539/ies.v8n13p1.

15. Norma Patricia Salinas Martinez, Ricardo Pulido Understanding the Conics through Augmented Reality. Eurasia Journal of Mathematics, Science and Technology Education. 2017. DOI:10.12973/eurasia.2017.00620a

16. Lemos B. M. SISEULER: Um software para apoio ao ensino da Relação de Euler. Dissertaçao (Mestrado Profissional em Educaçao Matemática) Vassouras: Universidade Severino Sombra. 2011. 147 p.

17. Salinas P., Gonzalez-Mendivil E. Augmented Reality and Solids of Revolution. International Journal for Interactive Design and Manufacturing. 2017; 11: 829-837. DOI: 10.1007/s12008-017-0390-3.

18. Leitao R., Joao M.F. Rodrigues, Aderito Fernandes Marques Mobile Learning: Benefits of Augmented Reality in Geometry Teaching. Cenhancing Art, Culture and Design With Technological Integration. 2018. Chapter 12. DOI:10.4018/978-1-5225-5023-5.ch012

19. Kang S., Shokeen E., Byrne V.L., Norooz L., Bonsignore E., Williams-Pierce C., Joe E. Froehlich ARMath: Augmenting Everyday Life with Math Learning. 2019. DOI: 10.1145/3313831.3376252.

20. Sommerauer P., Müller O. Augmented reality in informal learning environments: A field experiment in a mathematics exhibition, Computers & Education. 2014. DOI: 10.1016/j.compedu.2014.07.013.

21. Martinez-Sevilla Alvaro, Urena Carlos, Recio Tomas. Augmented Reality, Maths Walks and GeoGebra. Extended Abstract for a contributed talk at CAGDME. 2018. 5 p.

22. Wen-Hung Chao, Ron-Chi Chang. Using Augmented Reality to Enhance and Angage Students in Learning Mathematics. Advances in Social Sciences Reseaarch Journal. 2018; 5(12): 455-464. DOI: 10.14738/assrj.512.5900.

23. Kaufmann H., Meyer B. Simulating Educational Physical Experiments in Augmented Reality. Proceedings of ACM SIGGRAPH ASIA 2008 Educators Program, ACM Press, New York. USA: NY, 2008. 8 p.

24. Su Cai, Feng-Kuang Chiang, Xu Wang Using the Augmented Reality 3D Technique for a Convex Imaging Experiment in a Physics Course. International Journal of Engineering Education. 2013; 29; 4: 856-865.

25. Marcus van Bergen Visualizing Magnetic Fields in Augmented Reality. Bachelor Informatica. University of Amsterdam. 2018. 35 p.

26. Su Cai, Feng-Kuang Chiang, Yuchen Sun, Chenglong Lin, Joey J. Lee Applications of Augmented Reality-Based Natural Interactive Learning in Magnetic Field Instruction. Interactive Learning Environment. 2017; 25; 6: 778-791. DOI:10.1080/10494820.2016.1181094.

27. S. da Hora Macedo, E. dos Santos Leite, F. Arantes Fernandes Teaching the Magnetic field of a Bar-shaped Magnet using Augmented Reality. International Journal on New Trends in Education and Their Implications. 2014; 5 (1):145-156.

28. A Buchau, W. M. Rucker Augmented Reality in Teaching of electrodynamics. COMPEL International Journal of Computations and Mathematics in Electrical. 2009: 948-963. DOI:10.1108/03321640910959026.

29. Barki F., Sumardani D., Muliyati D. The 3D simulation of Lorentz Force based on Augmented Reality Technology. 4th Annual Applied Science and Engineerong Conference, Journal of Physics: Conference Series, 1402 066038. 2019. 7 p.

30. Jian Gu, Nai Li, Henry Been-Lirn Duh A Remote Mobile Collaborative AR System for Learning in Physics. IEEE Virtual Reality (1923 March, Singapore). 2011. DOI: 10.1109/VR.2011.5759496.

31. Kuhn Johen, Nussbaumer Alexander, Johanna Pirker, Dimosthenis Karatzas, Pagani Alain, Conlan Owen, Memmel Martin, Steiner Christina M., Gutl Christian, Albert Dietrich, Dengel Andreas. Advancing Physics Learning Through Traversing a Multi-Modal Experimentation Space. Workshop Proceedings of the 11th International Conference on Intelligent Environments. 2015: 373-380. DOI:10.3233/978-1-61499-530-2-373.

32. Nak-Jun Sung, Jun Ma, Yoo-Joo Choi, Min Hong Real-Time Augmented Reality Physics Simulator for Education. Applied Sciences. 2019; 9: 4019. https://doi.org/10.3390/app9194019.

33. Salinas Patricia, Gonzalez-Mendivil Eduardo, Quintero Eliud, Rios Horacio, Ramirez Hector, Morales Sergio. The Development of a Didactic Prototype for the Learning of Mathematics Trough Augmented Reality. Procedia Computer Science. 2003; 25: 62-70. DOI: 10.1016/j.procs.2013.11.008.

34. Yechkalo Y., Tkachuk V., Hruntova T., Brovko D., Tron V. Augmented Reality in Training Engineering Students: Teaching Methods. ICTERI 2019: ICT in Education, Research and Industrial Applications. Integration, Harmonization and Knowledge Transfer: Proceedings of the 15th International Conference on ICT in Education, Research and Industrial Applications. Integration, Harmonization and Knowledge Transfer. (June 12-15). Volume II: Workshops. Kherson, Ukraine. 2019: 952-959.

35. Drijvers Paul. Digital Technology in Mathematics Education: Why It Works (or Doesn’t). Selected Regular Lectures from the 12th International Congress on Mathematical Education. Springer, Cham. 2015. 20 p. DOI: 10.1007/978-3319-17187-6_8.

36. Tzima Stavroula, Styliaras Georgios, Bassounas Athanasios. Augmented Reality Applications in Education: Teachers Point of View. Education Sciences. 2019; 9(99): 18. DOI: 10.3390/educsci9020099.