Skip to main content

A Case Study of Teachers’ First Designs Using ASYMPTOTE: A Tool for Teaching and Learning Mathematics Online

  • Conference paper
  • First Online:
Higher Education Learning Methodologies and Technologies Online (HELMeTO 2022)


In this paper, we present the ASYMPTOTE system - a result of a European project arising from the needs that emerged during the covid-19 pandemic in teaching and learning mathematics online. The components of the system (web portal and smartphone application) are presented with a particular focus on ASYMPTOTE’s task and learning graph functions. Training courses on the ASYMPTOTE system were held for in-service and future mathematics teachers from Greece and Italy. With the aim of investigating how the participants of these courses used the system in the creation process of a learning graph for a specific mathematics’ topic, we examined two case studies. The findings show that the ASYMPTOTE system is an effective platform for the creation of interactive math tasks and LGs.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

Institutional subscriptions

Similar content being viewed by others


  1. 1.

    Depending on hat their degree program includes (if they are “School of Educa-tion” students they will have to create tasks for the primary school; if they are “Mathematics” students they will have to create tasks for the lower or higher sec-ondary school.


  • Artigue, M., PerrinGlorian, M.J.: Didactic engineering, research and development tool: some theoretical problems linked to this duality. Learn. Math. 11(1), 13–18 (1991)

    Google Scholar 

  • Barlovits, S., et al.: Adaptive, synchronous, and mobile online education: developing the ASYMPTOTE learning environment. Mathematics 10, 1628 (2022).

  • Barlovits, S., Jablonski, S., Lázaro, C., Ludwig, M., Recio, T.: Teaching from a distance—math lessons during COVID-19 in Germany and Spain. Educ. Sci. 11(8), 406 (2021)

    Article  Google Scholar 

  • Barlovits, S., Ludwig, M., Fesakis, G., Kolokytha, A.: Designing mobile environments for mathematics distance education: The theory-driven development of the ASYMPTOTE system. In: Twelfth Congress of the European Society for Research in Mathematics Education (2022)

    Google Scholar 

  • Beal, C.R., Walles, R., Arroyo, I., Woolf, B.P.: On-line tutoring for math achievement testing: a controlled evaluation. J. Interact. Online Learn. 6(1), 43–55 (2007)

    Google Scholar 

  • Black, P., Wiliam, D.: ‘In praise of educational research’: formative assessment. Br. Edu. Res. J. 29(5), 623–637 (2003)

    Article  Google Scholar 

  • Brusilovsky, P.L.: A framework for intelligent knowledge sequencing and task sequencing. In: Frasson, C., Gauthier, G., McCalla, G.I. (eds.) ITS 1992. LNCS, vol. 608, pp. 499–506. Springer, Heidelberg (1992).

    Chapter  Google Scholar 

  • Calder, N., Larkin, K., Sinclair, N. (eds.): Using Mobile Technologies in the Teaching and Learning of Mathematics Mathematics Education in the Digital Era MEDE 12. Springer, Cham (2018).

  • Cahyono, A.N., Ludwig, M.: Teaching and learning mathematics around the city supported by the use of digital technology. Eurasia J. Math. Sci. Technol. Educ. 15(1), em1654 (2018)

    Google Scholar 

  • Chronaki, A., Matos, A.: Technology use and mathematics teaching: teacher change as discursive identity work. Learn. Media Technol. 39(1), 107–125 (2014)

    Article  Google Scholar 

  • Daher, W. Building mathematical knowledge in an authentic mobile phone environment. Australasian J. Educ. Technol. 26(1) (2010)

    Google Scholar 

  • Deci, E.L., Ryan, R.M.: Self-determination theory: a macrotheory of human motivation, development, and health. Can. Psychol. 49, 182 (2008)

    Article  Google Scholar 

  • Flores, M.A., Swennen, A.: The COVID-19 pandemic and its effects on teacher education. Eur. J. Teach. Educ. 43, 453–456 (2020)

    Article  Google Scholar 

  • Garrison, D.R.: E-Learning in the 21st Century: A Community of Inquiry Framework for Research and Practice, 3rd edn. Routledge, London (2017)

    Google Scholar 

  • Gurjanow, I., Oliveira, M., Zender, J., Santos, P.A., Ludwig, M.: Mathematics trails: Shallow and deep gamification. Int. J. Serious Games 6(3), 65–79 (2019)

    Article  Google Scholar 

  • Hall, T., et al.: Education in precarious times: a comparative study across six countries to identify design priorities for mobile learning in a pandemic. ILS 121, 433–442 (2020)

    Google Scholar 

  • Kochmar, E., Vu, D.D., Belfer, R., Gupta, V., Serban, I.V., Pineau, J.: Automated personalized feedback improves learning gains in an intelligent tutoring system. In: Bittencourt, I.I., Cukurova, M., Muldner, K., Luckin, R., Millán, E. (eds.) AIED 2020. LNCS (LNAI), vol. 12164, pp. 140–146. Springer, Cham (2020).

    Chapter  Google Scholar 

  • Lieberoth, A.: Shallow gamification: testing psychological effects of framing an activity as a game. Games Cult. 10(3), 229–248 (2015)

    Article  Google Scholar 

  • Margolinas, C.: Task design in mathematics education. Proceedings of ICMI study 22. In: ICMI Study 22 (2013)

    Google Scholar 

  • Mishra, L., Gupta, T., Shree, A.: Online teaching-learning in higher education during lockdown period of COVID-19 pandemic. Int. J. Educ. Res. Open 1, 100012 (2020)

    Article  Google Scholar 

  • Simon, M.A.: Reconstructing mathematics pedagogy from a constructivist perspective. J. Res. Math. Educ. 26(2), 114–145 (1995)

    Article  Google Scholar 

  • Sorensen, C.K., Baylen, D.M.: Learning online: Adapting the seven principles of good practice to a web-based instructional environment. Distance Learn. 1, 7–17 (2009)

    Google Scholar 

  • Van der Kleij, F.M., Eggen, T.J., Timmers, C.F., Veldkamp, B.P.: Effects of feedback in a computer-based assessment for learning. Comput. Educ. 58(1), 263–272 (2012)

    Article  Google Scholar 

  • Yamamoto, G.T.: Mobile Learning Workshop Report Turkey. Okan University, İstanbul (2013)

    Google Scholar 

  • Yang, F., Li, F.W.B., Lau, R.W.H.: An open model for learning path construction. In: Luo, X., Spaniol, M., Wang, L., Li, Q., Nejdl, W., Zhang, W. (eds.) ICWL 2010. LNCS, vol. 6483, pp. 318–328. Springer, Heidelberg (2010).

    Chapter  Google Scholar 

  • Zhang, W., Wang, Y., Yang, L., Wang, C.: Suspending classes without stopping learning: China’s education emergency management policy in the COVID-19 outbreak (2020)

    Google Scholar 

Download references


M. F. Mammana and E. Taranto Research was partially supported by the University of Catania, Piano per la ricerca 2020-2022, under the project: “Equazioni Ellittiche: Esistenza e Proprietà qualitative & Didattica Laboratoriale e a Distanza”. E. Taranto was partially supported by the “National Group for Algebraic and Geometric Structures, and their Applications” (GNSAGA – INdAM).

Author information

Authors and Affiliations


Corresponding author

Correspondence to Maria Flavia Mammana .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Mammana, M.F., Taranto, E., Filippaki, D.K., Fesakis, G. (2023). A Case Study of Teachers’ First Designs Using ASYMPTOTE: A Tool for Teaching and Learning Mathematics Online. In: Fulantelli, G., Burgos, D., Casalino, G., Cimitile, M., Lo Bosco, G., Taibi, D. (eds) Higher Education Learning Methodologies and Technologies Online. HELMeTO 2022. Communications in Computer and Information Science, vol 1779. Springer, Cham.

Download citation

  • DOI:

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-29799-1

  • Online ISBN: 978-3-031-29800-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics