Skip to main content

The Math Trail as a Learning Activity Model for M-Learning Enhanced Realistic Mathematics Education: A Case Study in Primary Education

  • Conference paper
  • First Online:

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 715))

Abstract

Seeking a systematic combination of the pedagogical model of m-learning with the Realistic Mathematics Education (RME) approach, this study concerns the use of math trail as a learning activity model that can take the advantages of mobile computing devices for the design of effective learning experiences in an authentic context. The paper presents the design and the study of the first pilot implementation of a math trail, using mobile devices for primary school students. In this math trail, the students are guided, through a digital map, to a sequence of preselected sites of a park where they solve specially designed math problems using data from the environmental context. The students measure real objects’ dimensions either with conventional instruments or by measurement applications of their tablet. According to the findings of the study, students solved the puzzles by applying mathematical knowledge, discussion and collaboration. The students applied and reinforced their knowledge through an effective and engaging learning activity. Moreover, the students were puzzled about the differences of the measurements by conventional and digital instruments and this confusion triggered social negotiation. Further research is needed for a grounded theory development about m-learning design for RME.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Bouck, E.C., Flanagan, S., Miller, B., Bassette, L.: Technology in action. J. Spec. Educ. Technol. 27(4), 47–57 (2012)

    Article  Google Scholar 

  2. Cross, R.: Developing math trails. Math. Teach. 158, 38–39 (1997)

    Google Scholar 

  3. Traxler, J.: Defining mobile learning. In: Isaías, P., Borg, C., Kommens, P., Bonanno, P. (eds.), Proceedings of the IADIS International Conference on Mobile Learning, Qwara, Malta, pp. 261–266 (2005)

    Google Scholar 

  4. Zhang, Y.: Design of mobile teaching and learning in higher education: introduction. Handbook of Mobile Teaching and Learning, pp. 3–10 (2015)

    Google Scholar 

  5. Traxler, J.: Current state of mobile learning. Mob. Learn Transform. Deliv. Educ. Train. 1, 9–24 (2009)

    Google Scholar 

  6. Stevens, D., Kitchenham, A.: An analysis of mobile learning in education, business, and medicine. In: Kitchenham, A. (ed.) Models for Interdisciplinary Mobile Learning: Delivering Information to Students, pp. 1–25. IGI Global, Hersey (2011)

    Google Scholar 

  7. Martin, F., Ertzberger, J.: Here and now mobile learning: an experimental study on the use of mobile technology. Comput. Educ. 68, 76–85 (2013)

    Article  Google Scholar 

  8. Kukulska-Hulme, A., Traxler, J.: Mobile teaching and learning. In: Kukuluska-Hulme, A., Traxler, J., (eds.) Mobile Learning: A Handbook for Educators and Trainers, pp. 25–44 (2005)

    Google Scholar 

  9. Kraut, R.: UNESCO Policy Guidelines for Mobile Learning. UNESCO, France (2013)

    Google Scholar 

  10. Markouzis, D., Fessakis, G.: Interactive storytelling and mobile augmented reality applications for learning and entertainment—a rapid prototyping perspective. In: International Conference on Interactive Mobile Communication Technologies and Learning (IMCL) 2015, pp. 4–8 (2015)

    Google Scholar 

  11. Freudenthal, H.: Why to teach mathematics so as to be useful. Educ. Stud. Math. 1(1), 3–8 (1968)

    Article  Google Scholar 

  12. Van den Heuvel-Panhuizen, M., Drijvers, P.: Realistic mathematics education. In: Encyclopedia of Mathematics Education, pp. 521–525. Springer, Dordrecht (2014)

    Google Scholar 

  13. National Council of Teachers of Mathematics. In: Principles and Standards for School Mathematics, vol. 1 (2000)

    Google Scholar 

  14. Clements, D.H.: From exercises and tasks to problems and projects: unique contributions of computers to innovative mathematics education. J. Math. Behav. 19(1), 9–47 (2000)

    Article  Google Scholar 

  15. Koole, M.L.: A model for framing mobile learning. Mob. Learn. Transform. Deliv. Educ. Train. 1(2), 25–47 (2009)

    Google Scholar 

  16. Soykan, E., Uzunboylu, H.: New trends on mobile learning area: the review of published articles on mobile learning in science direct database. World J. Educ. Technol. 7(1), 31–41 (2015)

    Google Scholar 

  17. Daher, W.: Students’ perceptions of learning mathematics with cellular phones and applets. Int. J. Emerg. Technol. Learn. 4(1), 23–28 (2009)

    Article  MathSciNet  Google Scholar 

  18. Baya’a, N., Daher, W.: Students’ perceptions of mathematics learning using mobile phones. In: Proceedings of the International Conference on Mobile and Computer Aided Learning, vol. 4, pp. 1–9 (2009)

    Google Scholar 

  19. Bray, A., Oldham, E., Tangney, B.: Technology-mediated realistic mathematics education and the bridge21 model: a teaching experiment. In: Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education, Prague, pp. 2487–2493 (2015)

    Google Scholar 

  20. Cahyono, A.N., Ludwig, M.: MathCityMap: exploring mathematics around the city. Presented at the 13th International Congress on Mathematics Education (ICME-13), Hamburg (2016)

    Google Scholar 

  21. Zaranis, N.: Does the use of information and communication technology through the use of realistic mathematics education help kindergarten students to enhance their effectiveness in addition and subtraction? Presch. Prim. Educ. 5(1), 46–62 (2017). https://doi.org/10.12681/ppej.9058

    Article  Google Scholar 

  22. Zaranis, N., Baralis, G., Skordialos, E.: The use of ICT in teaching substraction to the first grade students. In: Proceedings of Fourteenth the IIER International Conference, Paris, France, pp. 99–104 (2015)

    Google Scholar 

  23. Widjaja, Y.B., Heck, A.: How a realistic mathematics education approach and microcomputer-based laboratory worked in lessons on graphing at an Indonesian Junior High School. J. Sci. Math. Educ. Southeast Asia 26(2), 1–51 (2003)

    Google Scholar 

  24. Fessakis, G., Bekri, A.-F., Konstantopoulou, A.: Designing a mobile game for spatial and map abilities of kindergarten children. In: 10th European Conference on Games Based Learning, ECGBL 2016, Scotland, pp. 183–192 (2016)

    Google Scholar 

  25. Shoaf, M.M., Pollak, H., Schneider, J.: Math Trails. COMAP, Lexington (2004)

    Google Scholar 

  26. Richardson, K.M.: Designing math trails for the elementary school. Teach. Child. Math. 11(1), 8–14 (2004)

    Google Scholar 

  27. Cobb, P., Confrey, J., diSessa, A., Lehrer, R., Schauble, L.: Design experiments in educational research. Educ. Res. 32(1), 9–13 (2003)

    Article  Google Scholar 

  28. Yin, R.: Case study Research. Design and Methods. Sage Publications, New Delhi (2014)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Georgios Fessakis .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Fessakis, G., Karta, P., Kozas, K. (2018). The Math Trail as a Learning Activity Model for M-Learning Enhanced Realistic Mathematics Education: A Case Study in Primary Education. In: Auer, M., Guralnick, D., Simonics, I. (eds) Teaching and Learning in a Digital World. ICL 2017. Advances in Intelligent Systems and Computing, vol 715. Springer, Cham. https://doi.org/10.1007/978-3-319-73210-7_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-73210-7_39

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73209-1

  • Online ISBN: 978-3-319-73210-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics