Publications

The work of Math Trails Lab is grounded in a strong research tradition in mathematics, STEM, and STEAM education. Our publications document the development of math trails, the integration of digital technologies such as augmented and virtual reality, robotics, 3D printing, and artificial intelligence, as well as innovative approaches to mathematical modelling, computational thinking, and project-based learning.

Through journal articles, book chapters, and conference papers, our team and collaborators explore how technology-rich learning environments, such as VR STEM trails, AR-supported math trails, RoboSTEM activities, and landmark-based STEAM projects, can enhance students’ creativity, problem-solving skills, mathematical literacy, and 21st-century competencies. This body of work also reflects our international collaborations and contributions to global discussions on outdoor STEM education, teacher beliefs, and the implementation of STE(A)M education in diverse contexts.

The following list highlights some of our key publications in these areas.

  • Cahyono, A. N., Maharani, C., Iqbal, M., Lavicza, Z., Widjaja, W., & Kasti, A. H. (2025). Scaffolding practices for public health-related mathematical modelling instruction in STEM trails with immersive technology. Research in Science & Technological Education, 1–19. https://doi.org/10.1080/02635143.2025.2571617
  • Cahyono, A. N., Sukestiyarno, Y. L., Kharisudin, I., Iqbal, M., Zulkardi, Safrudiannur, … Miftahudin. (2025). Learning Mathematical Literacy Across Islands in an Archipelagic Country Through Cross-Cultural STEM Trails. Mathematics Education Journal, 19(4), 673–692. https://doi.org/10.22342/mej.v19i4.pp673-692
  • Cahyono, A., Masrukan, M., Albar, W.F., Lavicza, Z., & Burnard, P. Creativity in Designing Virtual STEAM Tasks with Artificial Intelligence Mathematical Dance. SN COMPUT. SCI. 6, 98 (2025). 
  • Cahyono, A.N. (2024). VR STEM Trail: A Math Trail-Based STEM Education Using Virtual Reality Technology for Learning Mathematical Modelling. In: Dilling, F., Witzke, I. (eds) Augmented and Virtual Reality in Mathematics Education. MINTUS – Beiträge zur mathematisch-naturwissenschaftlichen Bildung. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-45271-1_9
  • Abrori, F. M., Lavicza, Z., & Cahyono, A. N. (2025). Socioscientific issues comics: a scoping literature review. Journal of Graphic Novels and Comics, 1–20. https://doi.org/10.1080/21504857.2024.2447311.
  • Cahyono, A.N., Arifudin, R., Aditya, R.I., Maulana, B.S., Lavicza, Z. An exploratory study on STEM education through math trails with digital technology to promote mathematical literacy. STEM Education, 2025, 5(1): 41-52. doi: 10.3934/steme.2025003.
  • Rizal, N., Supriyanto, A. Nugraha, A.A., Cahyono, A.N. (2024) Math Trails with Machine Learning in a Tourism Attraction to Promote Students’ Mathematical Modeling Skills. I. Hidayah, N.R. Dewi (Eds.) Innovative Approaches to Mathematics Education: Enhancing Learning in the New Normal. p. 41-57. UKI Scholar Network. 
  • Cahyono, A. N., Dewi, N. R., Asih, T. S. N., Arifudin, R., Ilham, R., Maulana, B. S., & Nugroho, M. A. (2024). STEM Trails: Enhancing STEM Education through Math Trails with Digital Technology. Kreano, 15(1), 319–326.
  • Laksmiwati, P. A., Lavicza, Z., & Cahyono, A. N. (2024). Empowering STEAM Learning Implementation through Investigating Indonesian Teacher Experts’ Views with a Delphi Method. Indonesian Journal on Learning and Advanced Education (IJOLAE), 6(2), 214–229. https://doi.org/10.23917/ijolae.v6i2.23460
  • Laksmiwati, P. A., Lavicza, Z., Cahyono, A. N., Alagic, M., & Mumcu, F. (2024). When engineering design meets STEAM education in hybrid learning environment: teachers’ innovation key through design heuristics. Asia Pacific Journal of Education. https://doi.org/10.1080/02188791.2024.2373226
  • Yunianto, W., Cahyono, A. N., Prodromou, T., El-Bedewy, S., & Lavicza, Z. (2024). CT integration in STEAM learning: Fostering students’ creativity by making Batik stamp pattern. Science Activities, 1–27. https://doi.org/10.1080/00368121.2024.2378860
  • Muchlas Abrori, F., Cahyono, A. N., & Lavicza, Z. (2024). Designer’s log in planning the development of comics with so-cioscientific issues content: Case studies. https://doi.org/10.22219/raden.v4i1.3
  • Nugroho, M. A., Yulandari, I., & Cahyono, A. N. (2024). Project-based learning through augmented reality-assisted math trails at Blenduk Church to promote mathematical literacy. Jurnal Elemen, 10(2), 363–377. https://doi.org/10.29408/jel.v10i2.25333
  • Setiyani, Waluya, S. B., Sukestiyarno, Y. L., & Cahyono, A. N. (2024). Construction of reflective thinking: A field independent student in numerical problems. Journal on Mathematics Education, 15(1), 151–172. https://doi.org/10.22342/jme.v15i1.pp151-172
  • Laksmiwati, P. A., Lavicza, Z., Cahyono, A. N., Yunianto, W., & Houghton, T. (2023). Unveiling the implementation of STE(A)M Education: An exploratory case study of Indonesia from experts’ and policymakers’ perspectives. Cogent Education, 10(2). https://doi.org/10.1080/2331186X.2023.2267959
  • Aminah, N., Sukestiyarno, Y. L., Cahyono, A. N., & Maat, S. M. (2023). Student activities in solving mathematics problems with a computational thinking using Scratch. International Journal of Evaluation and Research in Education, 12(2), 613–621. https://doi.org/10.11591/ijere.v12i2.23308
  • Cahyono, A. N., & Lavicza, Z. (2024). Designing Landmark-Based STEAM Projects for Cross-Country Math Trail Activities with Augmented Reality and 3D Printing Technologies. International Journal for Technology in Mathematics Education, 30(4), 241–246. https://doi.org/10.1564/tme_v30.4.6
  • Laksmiwati, P. A., Abrori, F. M., Lavicza, Z., & Cahyono, A. N. (2024). Merging mathematics, biology, and local culture: exploring a traditional food project in elementary education. Science Activities, 1–14. https://doi.org/10.1080/00368121.2024.2302992
  • Haas, B., Kreis, Y., Jablonski, S., & Cahyono, A. N. (2023). Learning and Teaching with Outdoor STEAM Education. Research in Integrated STEM Education, 1(3), 373–376. https://doi.org/10.1163/27726673-00101007
  • Schmid, A., Korenova, L., Cahyono, A. N., Hvorecky, J., & Lavicza, Z. (2023). Geogebra as a Constructivism Teaching Tool for Visualization Geometry Using VR and AR (pp. 253–264). https://doi.org/10.34916/el.2023.15.20
  • Cahyono, A. N. (2023). Virtual Reality STEM Trails: Exploring Math Trails with STEM Education Approach in a Virtual World. In M. Ludwig, S. Barlovits, A. Caldeira, & A. Moura (Eds.), Research On STEM Education in the Digital Age. Proceedings of the ROSEDA Conference (pp. 85 90). WTM. https://doi.org/10.37626/GA9783959872522.0.10
  • Cahyono, A. N., Masrukan, Mulyono, Ludwig, M., Jablonski, S., & Oehler, D.-X. K. (2023). Indonesia-Germany MathCityMap training: Shifting mobile math trails teacher training to a hybrid environment. Journal on Mathematics Education, 14(1), 55–68. https://doi.org/10.22342/jme.v14i1.pp55-68.
  • Safrudiannur, P.M. Labulan, Suriaty, Darma Andreas Ngilawajan, Adi Nur Cahyono, Zetra Hainul Putra, Sadrack Luden Pagiling & Benjamin Rott (2023) Pre-service mathematics teachers’ beliefs: a quantitative study to investigate the complex relationships in their beliefs, International Journal of Mathematical Education in Science and Technology, DOI: 10.1080/0020739X.2023.2170289.
  • Cahyono, A.N., Asikin, M., Zahid, M.Z., Laksmiwati, P.A., Miftahudin. (2021) The RoboSTE[M] Project: Using Robotics Learning in a STEM Education Model to Help Prospective Mathematics Teachers Promote Students’ 21st-CenturySkills. International Journal of Learning, Teaching and Educational Research. Vol. 20, No. 7, pp. 85-99.
  • Cahyono, A.N., Sukestiyarno, Y.L., Asikin, M., Miftahudin, M., Ahsan, M.G.K., Ludwig, M. (2020) Learning Mathematical Modelling with Augmented Reality Mobile Math Trails Program: How Can It Work? Journal on Mathematics Education. 11(2) pp. 185-196.
  • Cahyono, A.N (2018). Learning Mathematics in a mobile app-supported math trail environment. Cham (Switzerland): Springer International Publishing.
  • Cahyono, A. N., Ludwig, M. (2019). Teaching and Learning Mathematics around the City Supported by the Use of Digital Technology. Eurasia Journal of Mathematics, Science and Technology Education, 15(1), em1654. https://doi.org/10.29333/ejmste/99514.
  • Cahyono, A.N., Zahid, M.Z., Asikin, M., Akmal, F.F. (2021) ROBOSTE[M]: Mathematics Learning Environment with STEM Robotics To Support 21st Century Skills. Alinea Media Dipantara.
  • B U Sholikhah and A N Cahyono (2021) Augmented reality student worksheets for learning mathematics during the COVID-19 pandemic. J. Phys.: Conf. Ser. 1918 042063
  • Kharis, M. & Cahyono, A.N. (2020) The dynamics of the basic model for the zika epidemic. J. Phys.: Conf. Ser. 1567 022085.
  • Ahsan, M.G.K., Miftahudin, Cahyono, A.N. (2020) Designing augmented reality-based mathematics mobile apps for outdoor mathematics learning. J. Phys.: Conf. Ser. 1567 032004.
  • Cahyono, A. N., Zaenuri, Subagja, M. (2019) The Design of Blended Learning Modules for Higher Education. J. Phys.: Conf. Ser.1387.
  • Zender, J. Cahyono, A.N., Gurjanow, I, Ludwig, M. (2019). New approaches in the research on mathematics trails with technology. Conference: World Education Research Association 2019 Focal Meeting. Tokyo (Japan), 2019.
  • Cahyono, A. N., Ludwig, M (2017). MathCityMap: Motivating students to engage in mathematics through a mobile app-supported math trail programme. Presented in Jahrestagung der Gesellschaft für Didaktik der Mathematik (GDM 2017), Potsdam (Germany), 27 February – 3 March 2017.
  • Cahyono, A. N., Ludwig, M (2017). Examining motivation in mobile app-supported math trail environments. Presented in the 10th Congress of European Research in Mathematics Education (CERME 10), Dublin (Ireland), 1–5 February 2017.
  • Cahyono, A. N., Ludwig, M (2016). MathCityMap: Exploring mathematics around the city. Presented in the 13th International Congress on Mathematics Education (ICME-13), Hamburg (Germany), 24–31 July 2016.
  • Cahyono, A. N., Ludwig, M., Marée, S. (2015). Designing mathematical outdoor tasks for the implementation of the MathCityMap-Project in Indonesia. In Vistro-Yu, C. (Ed.). In pursuit of quality mathematics education for all: Proceedings of the 7th ICMI-East Asia Regional Conference on Mathematics Education, pp. 151-–158. Quezon City: Philippine Council of Mathematics Teacher Educators (MATHTED), Inc.
  • Cahyono, A. N., Ludwig, M. (2014). Designing of The MathCityMap-Project for Indonesia. In Oesterle, S., Nicol, C., Liljedahl, P., & Allan, D. (Eds.). Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education. Vol. 6, p. 33. Vancouver, Canada: PME.