Exploring how augmented reality enriches realistic mathematics education to strengthen students’ understanding of curved-sided geometric ideas

Authors

  • Tri Suranti Universitas Lampung, Indonesia
  • Sugeng Sutiarso Universitas Lampung, Indonesia
  • Rangga Firdaus Universitas Lampung, Indonesia

DOI:

https://doi.org/10.58524/jasme.v5i2.979

Keywords:

Augmented Reality, Conceptual Understanding, Curved-Sided Geometry, Learning Module Development, Realistic Mathematics Education

Abstract

Background: Students often find curved-sided geometric shapes difficult to grasp because the material is usually introduced in a highly symbolic way. This condition creates a clear need for learning materials that can present ideas more visually and in contexts that feel relevant to students.

Aim: The study seeks to design and examine a learning module that blends Augmented Reality with the principles of Realistic Mathematics Education to support stronger conceptual understanding.

Method: Using a Research and Development approach, the study followed the ADDIE sequence from early analysis to final evaluation. The module was reviewed by subject and media experts, tested in a small group to gauge usability, and later implemented in larger classes. Its effectiveness was assessed by comparing posttest scores from a class using the AR–RME module and another class taught with standard materials.

Results: Expert feedback showed that both the content and media components reached valid to very valid levels. Students and teachers also reported that the module was easy to use and fit well within classroom activities. The experimental class recorded higher posttest scores than the control group, indicating meaningful gains in conceptual understanding.

Conclusion: Augmented Reality, when embedded in a Realistic Mathematics Education setting, offers a learning experience that helps students connect abstract geometric ideas with clearer mental models. The module developed in this study meets the criteria for validity, practicality, and effectiveness, and can serve as a valuable learning resource for geometry instruction.

References

Abedi, E. A. (2024). Tensions between technology integration practices of teachers and ICT in education policy expectations: Implications for change in teacher knowledge, beliefs and teaching practices. Journal of Computers in Education, 11(4), 1215–1234. https://doi.org/10.1007/s40692-023-00296-6

Ahmed, I., Saara, T. H., & Elma, I. H. (2024). The Confluence of Divine Law and Modern Legal Systems: Insights from Sharia on Achieving Balance between Justice and Equity. Journal of Islamic Law Research, 25, [83].

Alam, A., & Mohanty, A. (2024). Unveiling the complexities of ‘Abstract Algebra’ in University Mathematics Education (UME): Fostering ‘Conceptualization and Understanding’ through advanced pedagogical approaches. Cogent Education, 11(1), 2355400. https://doi.org/10.1080/2331186X.2024.2355400

Arango-Caro, S., Langewisch, T., Ying, K., Haberberger, M. A., Ly, N., Branton, C., & Callis-Duehl, K. (2025). 3D plants: The impact of integrating science, design, and technology on high school student learning and interests in STEAM subjects and careers. Disciplinary and Interdisciplinary Science Education Research, 7(1). https://doi.org/10.1186/s43031-025-00120-4

Chen, X. (2025). Teaching characteristics and students’ achievement emotions in rural and urban areas: A multi-group analysis. Social Psychology of Education, 28(1). https://doi.org/10.1007/s11218-024-09976-2

Choudhary, K., DeCost, B., Chen, C., Jain, A., Tavazza, F., Cohn, R., Park, C. W., Choudhary, A., Agrawal, A., Billinge, S. J. L., Holm, E., Ong, S. P., & Wolverton, C. (2022). Recent advances and applications of deep learning methods in materials science. Npj Computational Materials, 8(1), 59. https://doi.org/10.1038/s41524-022-00734-6

Flavin, E., Hwang, S., & Flavin, M. T. (2025). Augmented Reality for Mathematics Achievement: A Meta-Analysis of Main and Moderator Effects. International Journal of Science and Mathematics Education, 23(7), 2305–2330. https://doi.org/10.1007/s10763-025-10546-x

Goceri, E. (2023). Medical image data augmentation: Techniques, comparisons and interpretations. Artificial Intelligence Review, 56(11), 12561–12605. https://doi.org/10.1007/s10462-023-10453-z

González-Polo, R. I., & Castaneda, A. (2024). Progressive mathematics of functions in secondary school students using a free-fall activity. International Electronic Journal of Mathematics Education, 19(1), em0765. https://doi.org/10.29333/iejme/14108

Hagos, T. (2026). Socratic method of questioning: The effect on improving students’ understanding and application of chemical kinetics concepts. Chemistry Education Research and Practice. https://doi.org/10.1039/D5RP00216H

Harris, D. (2023). Spatial reasoning in context: Bridging cognitive and educational perspectives of spatial-mathematics relations. Frontiers in Education, 8. https://doi.org/10.3389/feduc.2023.1302099

Jablonski, S., & Ludwig, M. (2023). Teaching and Learning of Geometry—A Literature Review on Current Developments in Theory and Practice. Education Sciences, 13(7), 682. https://doi.org/10.3390/educsci13070682

Janssen, T. W. P., Grammer, J. K., Bleichner, M. G., Bulgarelli, C., Davidesco, I., Dikker, S., Jasińska, K. K., Siugzdaite, R., Vassena, E., Vatakis, A., Zion-Golumbic, E., & van Atteveldt, N. (2021). Opportunities and Limitations of Mobile Neuroimaging Technologies in Educational Neuroscience. Mind, Brain, and Education, 15(4), 354–370. https://doi.org/10.1111/mbe.12302

Kaźmierczak, R., Grunwald, G., Skowroński, R., Kaźmierczak, L., & Kowalczyk, C. (2025). Augmented reality tools for mathematics and geoscience education. Scientific Reports, 15(1). https://doi.org/10.1038/s41598-025-02090-z

Koddenberg, T. (2025). A new dimension in wood anatomy education: Exploring softwood and hardwood structures in 3D. European Journal of Wood and Wood Products, 83(6), 201. https://doi.org/10.1007/s00107-025-02329-6

Kokkonen, T., & Schalk, L. (2021). One Instructional Sequence Fits all? A Conceptual Analysis of the Applicability of Concreteness Fading in Mathematics, Physics, Chemistry, and Biology Education. Educational Psychology Review, 33(3), 797–821. https://doi.org/10.1007/s10648-020-09581-7

Korkut, E. H., & Surer, E. (2023). Visualization in virtual reality: A systematic review. Virtual Reality, 27(2), 1447–1480. https://doi.org/10.1007/s10055-023-00753-8

Lee, M. (2023). The Geometry of Feature Space in Deep Learning Models: A Holistic Perspective and Comprehensive Review. Mathematics, 11(10), 2375. https://doi.org/10.3390/math11102375

Lowrie, T., Harris, D., Logan, T., & Hegarty, M. (2021). The Impact of a Spatial Intervention Program on Students’ Spatial Reasoning and Mathematics Performance. The Journal of Experimental Education, 89(2), 259–277. https://doi.org/10.1080/00220973.2019.1684869

Madrazo, A. L., & Dio, R. V. (2020). Contextualized Learning Modules in Bridging Students' Learning Gaps in Calculus with Analytic Geometry through Independent Learning. Journal on Mathematics Education, 11(3), 457-476. https://doi.org/10.22342/jme.11.3.12456.457-476

Medina Herrera, L. M., Juárez Ordóñez, S., & Ruiz-Loza, S. (2024). Enhancing mathematical education with spatial visualization tools. Frontiers in Education, 9. https://doi.org/10.3389/feduc.2024.1229126

Muir, T., Wang, I., Trimble, A., Mainsbridge, C., & Douglas, T. (2022). Using Interactive Online Pedagogical Approaches to Promote Student Engagement. Education Sciences, 12(6), 415. https://doi.org/10.3390/educsci12060415

Na, H., Staudt Willet, K. B., & Kim, C. (2025). Investigating the impact of AR technologies on geometric learning in primary school: A comparison between marker-based and markerless AR. British Journal of Educational Technology, 56(6), 2502–2521. https://doi.org/10.1111/bjet.13584

Ncube, M., & Luneta, K. (2025). Concept-based instruction: Improving learner performance in mathematics through conceptual understanding. Pythagoras, 46(1), 1–18. https://doi.org/10.4102/pythagoras.v46i1.815

Pandita, A., & Kiran, R. (2023). The Technology Interface and Student Engagement Are Significant Stimuli in Sustainable Student Satisfaction. Sustainability, 15(10), 7923. https://doi.org/10.3390/su15107923

Puig, A., Rodríguez, I., Baldeón, J., & Múria, S. (2022). Children building and having fun while they learn geometry. Computer Applications in Engineering Education, 30(3), 741–758. https://doi.org/10.1002/cae.22484

Rahman, A. (2025). Integrating Quantum AI, Gamification, and Adaptive Storytelling in educational augmented reality: A systematic review. International Journal of Electronics and Telecommunications, 71(4). https://doi.org/10.24425/ijet.2025.155468

Ramnarain, U., Penn, M., Thiza Gumbo, M., Mokhele-Ramulumo, M., Ngcoza, K., & Rodil, K. (2025). Afrocentric Extended Reality Technology Design to Infuse Indigenous Knowledge into African STEM Education. Proc. Bienn. Afr. Hum.-Comput. Interact. Conf., AfriCHI, 401–404. https://doi.org/10.1145/3757232.3757274

Ristroph, I. (2025). Elementary teachers’ treatment of mathematical conventions in lessons introducing coordinate graphing. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-025-09719-w

Salahuddin, M., Juliawan, R., & Fathurrahmaniah, F. (2025). Development of a culturally integrated augmented reality learning application using deep learning to promote critical thinking and support sdgs in mathematics education. Journal of Engineering Science and Technology, 20, 25–32.

Schifter, D., & Russell, S. J. (2022). The centrality of student-generated representation in investigating generalizations about the operations. ZDM – Mathematics Education, 54(6), 1289–1302. https://doi.org/10.1007/s11858-022-01379-x

Sofroniou, A., Patel, M. H., Premnath, B., & Wall, J. (2025). Advancing Conceptual Understanding: A Meta-Analysis on the Impact of Digital Technologies in Higher Education Mathematics. Education Sciences, 15(11). https://doi.org/10.3390/educsci15111544

Sudirman, Rodríguez-Nieto, C. A., Susandi, A. D., Isnawan, M. G., & Pauzan, M. (2025). Massive open online course in mathematics: perspectives on country, publication trends, research approaches, participants, and content element. Jurnal Ilmiah Ilmu Terapan Universitas Jambi, 9(2), 452–464. Scopus. https://doi.org/10.22437/jiituj.v9i2.36805

Susanti, E. (2025). Enhancing problem-solving skills in elementary students through realistic mathematics education. SCIENCE : Jurnal Inovasi Pendidikan Matematika Dan IPA, 5(1), 48–59. https://doi.org/10.51878/science.v5i1.4344

Wang, Q. H., Bedoya-Pinto, A., Blei, M., Dismukes, A. H., Hamo, A., Jenkins, S., Koperski, M., Liu, Y., Sun, Q.-C., Telford, E. J., Kim, H. H., Augustin, M., Vool, U., Yin, J.-X., Li, L. H., Falin, A., Dean, C. R., Casanova, F., Evans, R. F. L., … Santos, E. J. G. (2022). The Magnetic Genome of Two-Dimensional van der Waals Materials. ACS Nano, 16(5), 6960–7079. https://doi.org/10.1021/acsnano.1c09150

Wardat, Y., Tashtoush, M. A., AlAli, R., & Jarrah, A. M. (2023). ChatGPT: A revolutionary tool for teaching and learning mathematics. Eurasia Journal of Mathematics, Science and Technology Education, 19(7), em2286. https://doi.org/10.29333/ejmste/13272

Wu, H. K., Lee, S. W. Y., Chang, H. Y., & Liang, J. C. (2013). Current status, opportunities and challenges of augmented reality in education. Computers & education, 62, 41-49. https://doi.org/10.1016/j.compedu.2012.10.024

Wulandari, R., Rachmawati, I. D., & Rofiki, I. (2025). Ethnomathematics Teaching Material: Learning Mathematics Used an Electronic Encyclopedia Based on Augmented Reality of Madurese Traditional House. AIP Conf. Proc., 3446(1). https://doi.org/10.1063/5.0309066

Zekeik, H., Mouali, S., Sefian, M. L., & Khalfouni, M. (2025). Enhancing Geometry Learning with Mobile Augmented Reality: Evaluating the GeoFormeAR Application in Middle School Education. International Journal of Interactive Mobile Technologies, 19(20), 113–131. https://doi.org/10.3991/ijim.v19i20.56381

Downloads

Published

2025-12-13