Geometry from coastal life: A grounded theory of primary students’ 3D geometry understanding in Northern Coastal West Java
DOI:
https://doi.org/10.58524/jasme.v5i2.813Keywords:
3D geometry understanding, Elementary students, Grounded theory, Northern Coastal Area.Abstract
Background: Although three-dimensional (3D) geometry is an essential component of the elementary school mathematics curriculum, research exploring how students develop spatial understanding of 3D geometric objects in authentic learning contexts remains limited. Furthermore, the challenge of bridging visual, verbal, and manipulative representations persists as a major gap in the literature.
Aims: This study aims to address this gap by examining the process through which elementary students develop conceptual understanding of 3D geometry using a grounded theory approach.
Method: The study was conducted at a public elementary school in Indramayu Regency, West Java, Indonesia. A total of 26 students (20 female and 6 male, aged 11–12) voluntarily participated. Data were collected through 3D geometric visualization tests and in-depth interviews focusing on students' thought processes in imagining, comparing, and manipulating spatial forms. Data analysis followed the three stages of grounded theory methodology: open coding, axial coding, and selective coding, to construct a theory grounded in empirical data.
Results: The findings reveal that students’ understanding of 3D volume is still in a transitional stage, moving from concrete experiences to formal mathematical representations. Familiar local contexts alone were found insufficient to bridge spatial understanding without adequate visual and pedagogical support. Major obstacles included conceptual misconceptions, procedural errors, limited visualization skills, and reliance on teacher assistance.
Conclusion: The core category, “multiple representations as a bridge to spatial understanding,” underscores the importance of integrating concrete visualization, verbal description, and mathematical symbolism in geometry instruction. This study suggests that teachers should design instructional strategies that systematically combine visual media, concrete manipulatives, and verbal approaches. Such integration is crucial to ensure that local contexts effectively serve as a bridge between real-world experiences and abstract mathematical understanding.
References
Alex, J., & Mammen, K. J. (2018). Students’ understanding of geometry terminology through the lens of Van Hiele theory. Pythagoras, 39(1), 1–8. https://doi.org/10.4102/pythagoras.v39i1.376
Alsanousi, M. M., & Prabhu, V. V. (2025). Multimodal Hidden Markov Models for Real-Time Human Proficiency Assessment in Industry 5.0: Integrating Physiological, Behavioral, and Subjective Metrics. Applied Sciences (Switzerland), 15(14). https://doi.org/10.3390/app15147739
Alzubi, A. A. F., Nazim, M., & Alyami, N. (2025). Do AI-generative tools kill or nurture creativity in EFL teaching and learning? Education and Information Technologies, 30(11), 15147–15184. https://doi.org/10.1007/s10639-025-13409-8
Arias Valencia, M. M. (2022). Principles, scope, and limitations of the methodological triangulation. Aquichan, 40(2). http://www.scielo.org.co/scielo.php?pid=S0120-53072022000200003&script=sci_arttext. https://doi.org/10.17533/udea.iee.v40n2e03.
Cui, J., Yang, F., Peng, Y., Wang, S., & Zhou, X. (2024). Differential cognitive correlates in processing symbolic and situational mathematics. Infant and Child Development, 33(4), e2500. https://doi.org/10.1002/icd.2500
Desai, S., Bush, S., & Safi, F. (2021). Mathematical representations in the teaching and learning of geometry: A review of the literature from the United States. The Electronic Journal for Research in Science & Mathematics Education, 25(4), 6–22.
Downton, A., & Livy, S. (2022). Insights into Students’ Geometric Reasoning Relating to Prisms. International Journal of Science and Mathematics Education, 20(7), 1543–1571. https://doi.org/10.1007/s10763-021-10219-5
Fiorentino, M. G., Montone, A., Rossi, P. G., & Telloni, A. I. (2023). A Digital Educational Path with an Interdisciplinary Perspective for Pre-service Mathematics Primary Teachers’ Professional Development. Communications in Computer and Information Science, 1779, 663–673. https://doi.org/10.1007/978-3-031-29800-4_50
Halliburton, A. E., Murray, D. W., & Ridenour, T. A. (2024). Interplay Among Self-Regulation Processes Over Time for Adolescents in the Context of Chronic Stress. Journal of Cognition and Development, 25(3), 386–407. https://doi.org/10.1080/15248372.2023.2295894
Kelber, P., Mackenzie, I. G., & Mittelstädt, V. (2024). Transfer of cognitive control adjustments within and between speakers. Quarterly Journal of Experimental Psychology. https://doi.org/10.1177/17470218241249471
Khalil, I. A., Al-Aqlaa, M. A., Al-Wahbi, T. A., & Wardat, Y. (2024). Evaluating students’ perception of visual mathematics in secondary geometry education: A mixed methods investigation. 14(4), 542–551. https://doi.org/10.18178/ijiet.2024.14.4.2075
Khurshid, F., O’Connor, E., Thompson, R., & Hegazi, I. (2023). Pedagogical interventions and their influences on university-level students learning pharmacology—a realist review. Frontiers in Education, 8. https://doi.org/10.3389/feduc.2023.1190672
Lim, W. M. (2025). What Is Qualitative Research? An Overview and Guidelines. Australasian Marketing Journal, 33(2), 199–229. https://doi.org/10.1177/14413582241264619
Makri, C., & Neely, A. (2021). Grounded Theory: A Guide for Exploratory Studies in Management Research. International Journal of Qualitative Methods, 20, 16094069211013654. https://doi.org/10.1177/16094069211013654
Margolis, A. A. (2020). Zone of Proximal Development, Scaffolding and Teaching Practice. Cultural-Historical Psychology, 16(3). https://doi.org/10.17759/chp.2020160303
Mendl, J., Fröber, K., & Dreisbach, G. (2024). Flexibility by Association? No Evidence for an Influence of Cue–Transition Associations on Voluntary Task Switching. Journal of Experimental Psychology: Human Perception and Performance, 50(3), 313–328. https://doi.org/10.1037/xhp0001186
Ocal, T., & Halmatov, M. (2021). 3D geometric thinking skills of preschool children: 3D geometric thinking skills. International Journal of Curriculum and Instruction, 13(2), 1508–1526. https://ijci.net/index.php/IJCI/article/view/404/313
Rahman, L. (2024). Vygotsky’s Zone of Proximal Development of teaching and learning in STEM education. International Journal of Engineering Research & Technology (IJERT), 13(8), 389–394.
Ramos, A., De Fraine, B., & Verschueren, K. (2021). Learning goal orientation in high-ability and average-ability students: Developmental trajectories, contextual predictors, and long-term educational outcomes. Journal of Educational Psychology, 113(2), 370–389. https://doi.org/10.1037/edu0000476
Rau, M. A. (2017). Conditions for the effectiveness of multiple visual representations in enhancing STEM learning. Educational Psychology Review, 29, 717–761. https://doi.org/10.1007/s10648-016-9365-3
Rau, M. A., & Matthews, P. G. (2017). How to make ‘more’ better? Principles for effective use of multiple representations to enhance students’ learning about fractions. ZDM: International Journal on Mathematics Education, 49, 531–544. https://doi.org/10.1007/s11858-017-0846-8
Rieder, J. S. I., & Aschenbrenner, D. (2024). A User-Study on Proximity-Based Scene Transitioning for Contextual Information Display in Learning and Smart Factories. Lecture Notes in Networks and Systems, 1060, 205–213. https://doi.org/10.1007/978-3-031-65400-8_24
Sudirman, Kusumah, Y. S., & Martadiputra, B. A. P. (2022). Investigating the Potential of Integrating Augmented Reality into the 6E Instructional 3D Geometry Model in Fostering Students’ 3D Geometric Thinking Processes. International Journal of Interactive Mobile Technologies, 16(6), 61–80. https://doi.org/10.3991/ijim.v16i06.27819
Sudirman, S., Andrés Rodríguez-Nieto, C., Bongani Dhlamini, Z., Singh Chauhan, A., Baltaeva, U., Abubakar, A., Dejarlo, J. O., & Andriani, M. (2023). Ways of thinking 3D geometry: Exploratory case study in junior high school students. Polyhedron International Journal in Mathematics Education, 1(1), 15–34. https://doi.org/10.59965/pijme.v1i1.5
Sudirman, S., Kusumah, Y. S., Martadiputra, B. A. P., & Runisah, R. (2023). Epistemological obstacle in 3D geometry thinking: Representation, spatial structuring, and measurement. Pegem Journal of Education and Instruction, 13(4), 292–301. https://doi.org/10.47750/pegegog.13.04.34
Tian, P., Fan, Y., Sun, D., & Li, Y. (2024). Evaluating students’ computation skills in learning amount of substance based on SOLO taxonomy in secondary schools. International Journal of Science Education, 46(15), 1578–1600. https://doi.org/10.1080/09500693.2023.2291691
Urcia, I. A. (2021). Comparisons of Adaptations in Grounded Theory and Phenomenology: Selecting the Specific Qualitative Research Methodology. International Journal of Qualitative Methods, 20, 16094069211045474. https://doi.org/10.1177/16094069211045474
Van Hiele, P. (2002). Similarities and differences between the theory of learning and teaching of Skemp and the Van Hiele levels of thinking. Intelligence, Learning and Understanding–A Tribute to Richard Skemp, 27-47.
Wei, Y., Peng, X., Zhong, Y., Pi, F., Zhai, Y., & Bao, L. (2025). Can contextualized physics problems enhance student motivation? Physical Review Physics Education Research, 21(2), 020117. https://doi.org/10.1103/2g1b-hmhq
Widodo, A., Saptarani, D., Riandi, R., & Rochintaniawati, D. (2017). Development of students’ informal reasoning across school level. Journal of Education and Learning, 11(3), 273–282. https://doi.org/10.11591/edulearn.v11i3.6395
Yang, Y., Dong, Y., Jiang, L., Xu, C., Luo, F., Zhao, G., & Kurup, P. M. (2023). Requesting a commitment in school teachers to teach in unprecedented ways: The mediating role of teacher agency. British Journal of Educational Technology, 54(6), 1858–1877. https://doi.org/10.1111/bjet.13322
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