Integrating markerless augmented reality into project-based learning to foster spatial reasoning and self-regulated learning in junior high school: A formative evaluation
Keywords:
spatial reasoning, self-regulated learning, project-based learning, augmented reality, formative evaluationAbstract
Spatial reasoning is a critical cognitive skill in geometry learning, yet many students continue to struggle with visualizing and manipulating three-dimensional objects. While Project-Based Learning (PBL) and Augmented Reality (AR) have each been applied in mathematics education, the integration of markerless AR into PBL with explicit self-regulated learning (SRL) strategies remains largely underexplored—particularly at the junior high school level. This study reports a formative evaluation of a PBL-based worksheet embedded with SRL prompts and supported by a markerless AR application, aimed at enhancing students’ spatial reasoning and self-regulation in geometry. The evaluation engaged six expert validators (content, media, pedagogy) and nine ninth-grade students in a small-scale trial. Data were collected through expert validation sheets, and a student response questionnaire, and analyzed using the Content Validity Index (CVI) and descriptive statistics. Results showed perfect agreement across all expert evaluations (S-CVI = 1.00), indicating high content, media, and pedagogical validity. Student responses were highly positive (M = 3.64 out of 4), particularly regarding collaboration and engagement, though some technical limitations emerged on lower-end devices. These findings demonstrate the feasibility of the developed learning design and lay a strong foundation for large-scale implementation. This study contributes an innovative instructional model that integrates markerless AR, PBL, and SRL to address persistent challenges in developing spatial reasoning, while aligning with Generation Z’s preference for visual, interactive, and technology-rich learning environments.
References
Ahmad, N. I. N., & Junaini, S. N. (2020). Augmented reality for learning mathematics: A systematic literature review. International Journal of Emerging Technologies in Learning, 15(16), 106–122. https://doi.org/10.3991/ijet.v15i16.14961
Branch, R. M. (2009). Approach, instructional design: The ADDIE. In Springer New York Dordrech Heidelberg London (Vol. 53, Issue 9). https://doi.org/10.1007/978-0-387-09506-6
Bruce, C. D., Davis, B., Sinclair, N., McGarvey, L., Hallowell, D., Drefs, M., Francis, K., Hawes, Z., Moss, J., Mulligan, J., Okamoto, Y., Whiteley, W., & Woolcott, G. (2017). Understanding gaps in research networks: using “spatial reasoning” as a window into the importance of networked educational research. Educational Studies in Mathematics, 95(2), 143–161. https://doi.org/10.1007/s10649-016-9743-2
Buchner, J., Buntins, K., & Kerres, M. (2021). A systematic map of research characteristics in studies on augmented reality and cognitive load. Computers and Education Open, 2(April), 100036. https://doi.org/10.1016/j.caeo.2021.100036
Cleary, T. J., Slemp, J., & Pawlo, E. R. (2021). Linking student self-regulated learning profiles to achievement and engagement in mathematics. Psychology in the Schools, 58(3), 443–457. https://doi.org/10.1002/pits.22456
Cretu, I., Grigore, M., & Scripcariu, I. S. (2020). Get ready for gen Z, our next generation of medical students. Revista de Cercetare Si Interventie Sociala, 69, 283–292. https://doi.org/10.33788/rcis.69.18
Davis, B., & Spatial reasoning Study Group. (2015). Spatial reasoning in the early years: principles, assertions, and speculations. Routledge. https://doi.org/10.4324/9781315762371
DiMattio, M. J. K., & Hudacek, S. S. (2020). Educating generation Z: Psychosocial dimensions of the clinical learning environment that predict student satisfaction. Nurse Education in Practice, 49(October), 102901. https://doi.org/10.1016/j.nepr.2020.102901
Gagnier, K. M., Holochwost, S. J., & Fisher, K. R. (2022). Spatial thinking in science, technology, engineering, and mathematics: Elementary teachers’ beliefs, perceptions, and self-efficacy. Journal of Research in Science Teaching, 59(1), 95–126. https://doi.org/10.1002/tea.21722
Isharyadi, R., & Herman, T. (2022). Designing learning material assisted by augmented reality to improve spatial thinking skills. Al-Jabar: Jurnal Pendidikan Matematika, 13(2), 413–422. https://doi.org/10.24042/ajpm.v13i2.15242
Kokotsaki, D., Menzies, V., & Wiggins, A. (2016). Project-based learning: A review of the literature. Improving Schools, 19(3), 267–277. https://doi.org/10.1177/1365480216659733
Krajcik, J. S., & Shin, N. (2014). Project-based learning. The Cambridge Handbook of the Learning Sciences, Second Edition, 275–297. https://doi.org/10.1017/CBO9781139519526.018
Kurt, G., Önel, F., & Çakıoğlu, Ö. (2023). An investigation of middle school students’ spatial reasoning skills. International Electronic Journal of Elementary Education, 16(1), 123–141. https://doi.org/10.26822/iejee.2023.319
Lainufar, Mailizar, M., & Johar, R. (2021). Exploring the potential use of GeoGebra augmented reality in a project-based learning environment: The case of geometry. Journal of Physics: Conference Series, 1882(1). https://doi.org/10.1088/1742-6596/1882/1/012045
Linn, M. C., & Petersen, A. C. (1985). Emergence and characterization of sex differences in spatial ability: a meta-analysis. Child Development, 56(6), 1479–1498. https://doi.org/10.1111/j.1467-8624.1985.tb00213.x
Lynn, M. L. (1985). Determination and Quantification of Content Validity. Nursing Research, 101(1), 382–386. https://doi.org/10.1016/j.pec.2017.06.024
Mandala, A. S., Anwar, L., Sa’dijah, C., & Zulnaidi, H. (2025). Development of mobile augmented reality-based geometry learning games to facilitate spatial reasoning. Infinity Journal, 14(2), 323–348. https://doi.org/10.22460/infinity.v14i2.p323-348
Manzoni, B., Caporarello, L., Cirulli, F., & Magni, F. (2021). The preferred learning styles of generation z: Do they differ from the ones of previous generations? Lecture Notes in Information Systems and Organisation, 37, 55–67. https://doi.org/10.1007/978-3-030-47539-0_5
Mix, K. S., & Cheng, Y. L. (2012). The relation between space and math: developmental and educational implications. In Advances in Child Development and Behavior (Vol. 42). Elsevier Inc. https://doi.org/10.1016/B978-0-12-394388-0.00006-X
Mulligan, J., Woolcott, G., Mitchelmore, M., Busatto, S., Lai, J., & Davis, B. (2020). Evaluating the impact of a Spatial Reasoning Mathematics Program (SRMP) intervention in the primary school. Mathematics Education Research Journal, 32(2), 285–305. https://doi.org/10.1007/s13394-020-00324-z
NCTM. (2000). Principles and standards for school mathematics: A guide for mathematicians. Notices of the American Mathematical Society.
Nindiasari, H., Pranata, M. F., Sukirwan, Sugiman, Fathurrohman, M., Ruhimat, A., & Yuhana, Y. (2024). the Use of Augmented Reality To Improve Students’ Geometry Concept Problem-Solving Skills Through the Steam Approach. Infinity Journal, 13(1), 119–138. https://doi.org/10.22460/infinity.v13i1.p119-138
Nurjanah, Latif, B., Yuliardi, R., & Tamur, M. (2020). Computer-assisted learning using the Cabri 3D for improving spatial ability and self- regulated learning. Heliyon, 6(11), e05536. https://doi.org/10.1016/j.heliyon.2020.e05536
Pahmi, S., Vrapi, A., & Supriyadi, E. (2024). Implementation of virtual reality to enhance spatial abilities: a study on aspects, effects, and differences in participants’ initial ability levels. International Journal of Didactic Mathematics in Distance Education, 1(2), 54–69. https://doi.org/10.33830/ijdmde.v1i2.9108
Patahuddin, S. M., Ramful, A., Lowrie, T., & Bholoa, A. (2022). Subtleties in spatial visualization maneuvers: Insights from numerical solutions. Journal of Mathematical Behavior, 67(June 2021), 100988. https://doi.org/10.1016/j.jmathb.2022.100988
Plomp, Nieveen, N., & Folmer, E. (2013). Educational Design Research Educational Design Research. Netherlands Institute for Curriculum Development: SLO, 1–206. http://www.eric.ed.gov/ERICWebPortal/recordDetail?accno=EJ815766
Polit, D. F., Beck, C. tatano, & Owen, S. V. (2007). Is the CVI an Acceptable Indicator of Content Validity? Appraisal and Recommendations. ResearchinNursing&Health, 30, 459–467. https://doi.org/10.1002/nur.20199
Radu, I. (2014). Augmented reality in education: A meta-review and cross-media analysis. Personal and Ubiquitous Computing, 18(6), 1533–1543. https://doi.org/10.1007/s00779-013-0747-y
Schutera, S., Schnierle, M., Wu, M., Pertzel, T., Seybold, J., Bauer, P., Teutscher, D., Raedle, M., Heß-Mohr, N., Röck, S., & Krause, M. J. (2021). On the potential of augmented reality for mathematics teaching with the application cleARmaths. Education Sciences, 11(8). https://doi.org/10.3390/educsci11080368
Senadheera, V. V., Ediriweera, D. S., & Rupasinghe, T. P. (2024). Instructional Design Models for Digital Learning in Higher Education — A Scoping Review. Journal of Learning for Development, 11(1), 15–26. https://doi.org/10.56059/jl4d.v11i1.973
Spatioti, A. G., Kazanidis, I., & Pange, J. (2022). A Comparative Study of the ADDIE Instructional Design Model in Distance Education. Information (Switzerland), 13(9), 1–20. https://doi.org/10.3390/info13090402
Szymkowiak, A., Melović, B., Dabić, M., Jeganathan, K., & Kundi, G. S. (2021). Information technology and Gen Z: The role of teachers, the internet, and technology in the education of young people. Technology in Society, 65(March). https://doi.org/10.1016/j.techsoc.2021.101565
Tessmer, M. (1993). Planning and conducting formative evaluations. In Kogan Page. Kogan Page.
Tiwari, A. S., & Bhagat, K. K. (2024). Comparative analysis of augmented reality in an engineering drawing course: Assessing spatial visualisation and cognitive load with marker-based, markerless and Web-based approaches. Australasian Journal of Educational Technology, 40(6), 19–36. https://doi.org/10.14742/ajet.9217
Wai, J., Lubinski, D., & Benbow, C. P. (2009). Spatial ability for STEM domains: aligning over 50 years of cumulative psychological knowledge solidifies its importance. Journal of Educational Psychology, 101(4), 817–835. https://doi.org/10.1037/a0016127
Woolcott, G., Le Tran, T., Mulligan, J., Davis, B., & Mitchelmore, M. (2020). Towards a framework for spatial reasoning and primary mathematics learning: an analytical synthesis of intervention studies. In Mathematics Education Research Journal (Vol. 34, Issue 1). Mathematics Education Research Journal. https://doi.org/10.1007/s13394-020-00318-x
Zimmerman, B. J. (2002). Becoming a self-regulated learner: An overview. Theory into Practice, 41(2), 64–70. https://doi.org/10.1207/s15430421tip4102_2
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