Analysis of the Geometric Thinking Level of Primary School Students with Moderate Academic Ability in Mataram City: Evidence from a Plane Geometry Task

DOI:

https://doi.org/10.58421/gehu.v5i4.1948

Authors

  • Radiusman Radiusman Universitas Mataram
  • Syarifuddin Syarifuddin Universitas Mataram
  • Lalu Sirajul Hadi Universitas Mataram
  • Prayogi Dwina Angga Universitas Mataram
  • Lalu Rafta Patech Universitas Mataram
  • Desinta Desinta Universitas Mataram

Keywords:

Geometric thinking, Plane geometry, Moderate academic ability, Primary school students

Abstract

Geometric thinking is a crucial skill for solving geometry problems and navigating everyday life. This descriptive qualitative study aims to analyze the levels of geometric thinking regarding plane figures among primary school students with moderate academic ability. The study also describes the errors students make when solving problems involving plane geometry. Data were collected through interviews and an analysis of students’ written answers to five open-ended questions designed to assess specific indicators of geometric thinking: 1) visual skills; 2) verbal skills; 3) drawing skills; 4) logical skills; and 5) applied skills. This study involved 531 fifth-grade students from 12 public primary schools in Mataram City; however, the analysis focused on 450 students classified as having moderate academic ability based on their obtained score intervals. The researchers interviewed five students who provided the most common answers for each question. The collected data were analyzed using thematic analysis, including familiarization, coding, searching for initial themes, reviewing and developing themes, defining and naming themes, and report writing. The results indicate that students with moderate academic ability demonstrated proficiency primarily in visual, drawing, and verbal skills, yet still frequently made errors regarding applied skills. The results also indicate that students with moderate mathematical ability have not yet fully grasped geometric concepts. These findings enable teachers to identify the capabilities and errors of students with moderate academic ability during geometry instruction, thereby improving their understanding of plane geometry.

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References

I. V. S. Mullis, M. O. Martin, P. Foy, and M. Hooper, TIMSS 2015 International Results in Mathematics. Boston: International Association for the Evaluation of Educational Achievement, 2015.

E. Prajitno and A. Wijaya, Guru Pembelajar: Modul Pelatihan SD Kelas Awal. Jakarta: Direktorat Pembinaan Guru Pendidikan Dasar, Direktorat Jenderal Guru dan Tenaga Kependidikan, 2016.

R. B. Dimla, “Probing Students ’ Levels of Geometric Thinking in Geometry and Their Enacted Example Space Function,” J. Educ. Black Sea Reg., vol. 4, no. 1, pp. 155–163, 2018.

R. B. Armah, P. O. Cofie, and C. A. Okpoti, “The Geometric Thinking Levels of Pre-service Teachers in Ghana,” High. Educ. Res., vol. 2, no. 3, pp. 98–106, 2017, doi: 10.11648/j.her.20170203.14.

K. H. Massarwe, “Studying Geometric Concepts in Elementary School through Construction by Compass and Straightedge To cite this article : Studying Geometric Concepts in Elementary School through Construction by Compass and Straightedge,” Int. J. Stud. Educ., vol. 5, no. 1, pp. 42–63, 2023, doi: 10.46328/ijonse.95.

N. B. Mensah, E. B. Odro, and D. A. Williams, “Examination of 9th graders’ levels of geometric thinking,” Int. J. Res. Educ. Sci., vol. 9, no. 3, pp. 688–703, 2023, doi: 10.46328/ijres.3184.

T. Öcala and M. Halmatova, “3D geometric thinking skills of preschool children,” Int. J. Curric. Instr., vol. 13, no. 2, pp. 1508–1526, 2021.

P. Panteli and A. Panaoura, “The Effectiveness of Using Mobile Learning Methods in Geometry for Students with Different Initial Mathematical Performance,” Univers. Wiser Publ., vol. 1, no. 1, pp. 1–10, 2020, doi: 10.37256/ser.112020128.1-10.

F. Alghadari, T. Herman, and S. Prabawanto, “Factors Affecting Senior High School Students to Solve Three- Dimensional Geometry Problems,” Int. Electron. J. Math. Educ., vol. 15, no. 3, pp. 1–11, 2020, doi: 10.29333/iejme/8234.

M. Pittalis and C. Christou, “Types of reasoning in 3D geometry thinking and their relation with spatial ability,” Educ Stud Math, vol. 75, pp. 191–212, 2010, doi: 10.1007/s10649-010-9251-8.

M. Bernabeu, M. Moreno, and S. Llinares, “Polygon Class Learning Opportunities: Interplay Between Teacher’s Moves, Children’s Geometrical Thinking, and Geometrical Task,” Int. J. Sci. Math. Educ., vol. 22, no. 6, pp. 1381–1403, 2024, doi: 10.1007/s10763-023-10425-3.

A. Hoffer, “Geometry is more than proof,” Math. Teach., vol. 74, no. 1, pp. 11–18, 1981, doi: https://doi.org/10.5951/MT.74.1.0011.

F. Mudhefi, K. Mabotja, and D. Muthelo, “The use of Van Hiele ’ s geometric thinking model to interpret Grade 12 learners ’ learning difficulties in Euclidean Geometry,” Perspect. Educ., vol. 42, no. 2, pp. 162–175, 2024, doi: 10.38140/pie.v42i2.8350.

A. Cesaria, T. Herman, and J. A. Dahlan, “Level Berpikir Geometri Peserta Didik Berdasarkan Teori Van Hiele pada Materi Bangun Ruang Sisi Datar,” J. Elem., vol. 7, no. 2, pp. 267–279, 2021, doi: 10.29408/jel.v7i2.2898.

T. Kandaga, “Epistemological Obstacle in Transformation Geometry Based on van Hiele ’ s Level,” EURASIA J. Math. Sci. Technol. Educ., vol. 18, no. 4, 2022.

H. Demircioğlu and K. Hatip, “Examining 8th grade students’ van Hiele geometry thinking levels, their proof writing and justification skills,” Int. J. Curric. Instr., vol. 15, no. 1, pp. 294–308, 2022.

S. Sudirman, R. Runisah, Y. S. Kusumah, and B. A. P. Martadiputra, “Epistemological Obstacle in 3D Geometry Thinking : Representation , Spatial Structuring, and Measurement,” Pegem J. Educ. Instr., vol. 13, no. 4, pp. 292–301, 2023, doi: 10.47750/pegegog.1.

I. C. De Vink, R. H. Willemsen, R. Keijzer, A. W. Lazonder, and E. H. Kroesbergen, “Supporting creative problem solving in primary geometry education,” Think. Ski. Creat., vol. 48, no. December 2022, p. 101307, 2023, doi: 10.1016/j.tsc.2023.101307.

M. Mosia, M. Edward, and T. John, “Research in Social Sciences and Technology Errors and Misconceptions in Euclidean Geometry Problem Solving Questions : The Case of Grade 12 Learners,” Res. Soc. Sci. Technol., vol. 8, no. 3, pp. 89–104, 2023.

R. Oughton et al., “Developing ‘ deep mathematical thinking ’ in geometry with 3- and 4-year-olds : a collaborative study between early years teachers and university-based mathematicians,” Math. Think. Learn., vol. 26, no. 3, pp. 306–325, 2024, doi: 10.1080/10986065.2022.2119497.

R. Heale and A. Twycross, “What is a case study ?,” Evid Based Nurs, vol. 21, no. 1, 2018, doi: 10.1136/eb-2017-102845.

A. Ferdinand, Metode Penelitian Manajemen Pedoman Penelitian Untuk Penulisan Skripsi, Tesis, Dan Disertasi Ilmu Manajemen, 3rd ed. Semarang: Fakultas Ekonomika Dan Bisnis Universitas Diponegoro, 2013.

V. Braun and V. Clarke, “Using thematic analysis in psychology,” Qual. Res. Psychol., vol. 3, no. 2, pp. 77–101, 2006, doi: https://doi.org/10.1191/1478088706qp063oa.

R. Ponte, F. Viseu, T. B. Neto, and A. P. Aires, “Revisiting manipulatives in the learning of geometric figures,” Front. Educ., vol. 8, no. June, pp. 1–13, 2023, doi: 10.3389/feduc.2023.1217680.

Z. Yıldız, “The effect of distance education practices during the COVID-19 pandemic on mathematics and geometry teaching,” South African J. Educ., vol. 44, no. 2, pp. 1–13, 2024, doi: 10.15700/saje.v44n2a2359.

A. Rizkya Ramadhani and I. Junaedi, “Eighth Grade Students’ Geometric Writing Ability Based on Van Hiele’s Theory in the GeoGebra-Assisted PBL Model,” EduGrows Educ. Learn. Rev., vol. 1, no. 2, pp. 143–154, 2025, doi: 10.69836/edugrows.v1i2.113.

V. Bočková and L. Rumanová, “Mathematical Modeling Approach and Exploration of Geometric Properties as Part of an Outdoor Activity for Primary-School Pupils in Out-of-School Learning,” Educ. Sci., vol. 14, no. 12, 2024, doi: 10.3390/educsci14121304.

D. Götz and H. Gasteiger, “Reflecting geometrical shapes: approaches of primary students to reflection tasks and relations to typical error patterns,” Educ. Stud. Math., vol. 111, no. 1, pp. 47–71, 2022, doi: 10.1007/s10649-022-10145-5.

J. V. Protacio, “Mapping algebraic and geometric thinking with the van Hiele model among college students in STEM programs,” STEM Educ., vol. 6, no. 4, pp. 632–658, 2026, doi: 10.3934/steme.2026026.

X. Yao, “Characterizing Learners’ Construction of Geometry Diagrams in Dynamic Geometry Environments,” Int. J. Technol. Math. Educ., vol. 29, no. 4, pp. 233–243, 2022, doi: 10.1564/tme_v29.4.04.

T. Ma and W. Zhang, “Research on the impact of different teaching methods on students’ spatial ability and three-dimensional geometric thinking,” Front. Psychol., vol. 17, no. February, 2026, doi: 10.3389/fpsyg.2026.1744734.

K. Kusno and S. Sutarto, “European Journal of Educational Research,” Eur. J. Educ. Res., vol. 11, no. 3, pp. 639–652, 2022.

A. Simpson, E. Shokeen, N. Katirci, and C. Williams-Pierce, “Elementary students’ shared understanding of angle during an educational robotics task,” Front. Educ., vol. 9, 2024, doi: 10.3389/feduc.2024.1425307.

S. Satır and A. Kurtuluş, “Examination of Seventh Grade Students’ Van Hiele Geometric Thinking Levels and Their Mistakes on ‘Quadrilaterals,’” Osmangazi J. Educ. Res., vol. 10, no. 2, pp. 23–51, 2024, doi: 10.59409/ojer.1366292.

Y. Gunpinar and W. Sung, “Exploring 2D Geometric Shape Classification Using AI-Driven Feature Tables in Mathematics,” Sch. Sci. Math., pp. 1–14, 2025, doi: 10.1111/ssm.70003.

A. Haj-Yahya, R. Hershkowitz, and T. Dreyfus, “Investigating students’ geometrical proofs through the lens of students’ definitions,” Math. Educ. Res. J., vol. 35, pp. 607–633, 2023, doi: 10.1007/s13394-021-00406-6.

A. Arnal-Bailera and V. Manero, “Design and validation of a questionnaire to assess the definition process at Van Hiele level 5,” Educ. Stud. Math., vol. 121, pp. 423–444, 2025, doi: 10.1007/s10649-025-10456-3.

S. Desai, S. B. Bush, and F. Safi, “Mathematical Representations in the Teaching and Learning of Geometry: A Review of the Literature from the United States,” Electron. J. Res. Sci. Math. Educ., vol. 25, no. 4, pp. 6–22, 2021.

S. Jablonski and M. Ludwig, “Teaching and Learning of Geometry—A Literature Review on Current Developments in Theory and Practice,” Educ. Sci., vol. 13, 2023, doi: 10.3390/educsci13070682.

R. Ramírez-Uclés and J. F. Ruiz-Hidalgo, “Reasoning, Representing, and Generalizing in Geometric Proof Problems among 8th Grade Talented Students,” Mathematics, vol. 10, no. 789, 2022, doi: 10.3390/math10050789.

H. G. Weigand, K. Hollebrands, and M. Maschietto, “Geometry education at secondary level – a systematic literature review,” ZDM - Math. Educ., vol. 57, pp. 829–843, 2025, doi: 10.1007/s11858-025-01703-1.

A. A. P. Rosyadi, A. Kafifah, Y. M. Cholily, and S. Inganah, “Students’ mathematical errors in solving literacy and numeracy problems,” JRAMathEdu, vol. 9, no. 2, pp. 105–116, 2024, doi: 10.23917/jramathedu.v9i2.10464.

E. Wahyuningrum et al., “Transforming Geometric Thinking Through a Flipped Semi-Concrete Model : A Van Hiele and Cognitive Load Theory Perspective in Coastal Elementary Education,” J. Curric. Stud. Res. https//curriculumstudies.org, vol. 8, no. 2, pp. 187–218, 2026.

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Published

2026-08-16

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[1]
R. Radiusman, S. Syarifuddin, L. S. Hadi, P. D. Angga, L. R. Patech, and D. Desinta, “Analysis of the Geometric Thinking Level of Primary School Students with Moderate Academic Ability in Mataram City: Evidence from a Plane Geometry Task ”, J.Gen.Educ.Humanit., vol. 5, no. 4, pp. 5275–5294, Aug. 2026.

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Vol. 5 No. 4 (2026): August

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