Mengungkap Kesenjangan Konseptual: Pemahaman Siswa tentang Titik dan Garis

Authors

  • Fikri Apriyono UIN Kiai Haji Achmad Siddiq Jember

DOI:

https://doi.org/10.21154/imej.v2i2.51

Abstract

Penelitian ini bertujuan untuk menganalisis pemahaman siswa kelas IXA di SMPN 2 Panti Jember mengenai konsep titik dan garis dalam matematika menggunakan pendekatan kualitatif. Penelitian ini berfokus pada pemahaman siswa terhadap kedua konsep tersebut, baik dari perspektif teoretis maupun aplikatif. Data dikumpulkan melalui tes yang terdiri dari empat pertanyaan, di mana pertanyaan pertama dan kedua mengukur pemahaman teoretis siswa, sedangkan pertanyaan ketiga dan keempat menguji keterampilan aplikatif mereka. Hasil penelitian menunjukkan bahwa sebagian besar siswa mengalami kesulitan dalam menjawab pertanyaan yang mengukur pemahaman teoretis, dengan hampir semua siswa memberikan jawaban yang salah. Sebaliknya, untuk pertanyaan yang menguji pemahaman aplikatif, sebagian besar siswa dapat memberikan jawaban yang benar. Temuan ini mengindikasikan adanya kesenjangan antara pemahaman teoretis dan aplikatif siswa terhadap konsep titik dan garis. Penelitian ini menyimpulkan bahwa pengajaran yang lebih mendalam tentang konsep-konsep geometri dasar sangat diperlukan untuk meningkatkan pemahaman teoretis siswa, yang merupakan dasar untuk menguasai topik geometri yang lebih kompleks di masa depan.

Downloads

Download data is not yet available.

References

Alonso Pedrero, F. M., & Salazar Lozano, M. P. (2022). The Creative Capacity of Geometric Objects -point and line- in Architecture Teaching. In Springer Series in Design and Innovation (Vol. 23, pp. 157–166). https://doi.org/10.1007/978-3-031-04640-7_17

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.

Dintarini, M., Budiarto, M. T., & Fuad, Y. (2025). Spatial Thinking in Conic Sections: A Study of Undergraduate Mathematics Students by Sex and Spatial Category. Mathematics Education Journal, 19(2), 275–298. https://doi.org/10.22342/mej.v19i2.pp275-298

Fiantika, F. R., Budayasa, I. K., & Lukito, A. (2018). Internal process: What is abstraction and distortion process? Journal of Physics: Conference Series, 983(1). https://doi.org/10.1088/1742-6596/983/1/012086

Gilligan-Lee, K. A., Hawes, Z. C. K., & Mix, K. S. (2022). Spatial thinking as the missing piece in mathematics curricula. Npj Science of Learning, 7(1), 10.

Hawes, Z. C. K., Gilligan-Lee, K. A., & Mix, K. S. (2023). Infusing Spatial Thinking Into Elementary and Middle School Mathematics: What, Why, and How? In Mathematical Cognition and Understanding: Perspectives on Mathematical Minds in the Elementary and Middle School Years (pp. 13–33). https://doi.org/10.1007/978-3-031-29195-1_2

Hendriana, H., & Fitriani, N. (2019). Mathematical abstraction of year 9 students using realistic mathematics education based on the van hiele levels of geometry. Jurnal Didaktik Matematika, 6(1), 1–11.

Jeannotte, D., & Kieran, C. (2017). A conceptual model of mathematical reasoning for school mathematics. Educational Studies in Mathematics, 96, 1–16.

Lashari, T. A., Afzal, T., Lashari, S. A., Irfan, R., Lashari, S. A., & Aziz, M. T. (2024). Designing and Investigating the Impact of an AR Application for Learning Spatial Thinking Skills at Middle Level. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 32(7), 1093–1110. https://doi.org/10.1142/S021848852440018X

Laursen, P. F. (2015). The theory-practice divide: The case of Denmark. Advances in Research on Teaching, 22C, 33–49. https://doi.org/10.1108/S1479-368720150000022002

Luneta, K. (2015). Understanding students’ misconceptions: an analysis of final Grade 12 examination questions in geometry. Pythagoras, 36(1), 1–11.

Mujagić, A., Pjanić-Lipovača, K., & Liđan, E. (2023). Early Mathematical Competencies and Key Context Features That Promote Their Development. Društvene i Humanističke Studije, 8(1 (22)), 419–434.

Murni, S., Suryadi, D., & Prabawanto, S. (2025). Lower Secondary Students Epistemological Obstacle In Solving Mathematical Literacy Task: Focus On Plane Geometry. Journal of Engineering Science and Technology, 20(3), 49–56. https://www.scopus.com/inward/record.uri?eid=2-s2.0-105002412782&partnerID=40&md5=dd883bd7f7fe90cecbde915c6ec950dd

Nadzeri, M. B., Musa, M., Meng, C. C., & Ismail, I. M. (2024). The Effects of Augmented Reality Geometry Learning Applications on Spatial Visualization Ability for Lower Primary School Pupils. International Journal of Interactive Mobile Technologies , 18(16), 104–118. https://doi.org/10.3991/ijim.v18i16.47079

Ngirishi, H., & Bansilal, S. (2019). An exploration of high school learners’ understanding of geometric concepts. Problems of Education in the 21st Century, 77(1), 82–96. https://doi.org/10.33225/PEC/19.77.82

Palobo, M., Sulaiman, R., & Rahaju, E. B. (2024). Gender differences and learning styles: impact on students’ geometric thinking and quadrilateral area comprehension. Perspektivy Nauki i Obrazovania, 72(6), 261–276. https://doi.org/10.32744/pse.2024.6.17

Pinilla, R. K., Wellberg, S., Castro-Faix, M., & Ketterlin-Geller, L. R. (2025). Analyzing Children’s Spatial Reasoning Using an Existing Learning Progression: Insights from Interviews and Task Performance. Early Childhood Education Journal. https://doi.org/10.1007/s10643-025-01862-6

Pitta-Pantazi, D., & Christou, C. (2009). Cognitive styles, dynamic geometry and measurement performance. Educational Studies in Mathematics, 70(1), 5–26. https://doi.org/10.1007/s10649-008-9139-z

Pratama, R. A., & Ruslau, M. F. V. (2019). Analysis of a point on line segments in geometry analytical concepts. IOP Conference Series: Earth and Environmental Science, 343(1). https://doi.org/10.1088/1755-1315/343/1/012227

Serrano-Baena, M., Triviño-Tarradas, P., Martínez-Jiménez, E., & Ruiz-Díaz, C. (2025). GeoBlocks: A Game-Based Approach for Teaching Geometry in Primary Education. International Journal of Serious Games. https://doi.org/10.17083/fyz9cs92.

Downloads

Published

2025-11-26

Issue

Section

Articles

How to Cite

Mengungkap Kesenjangan Konseptual: Pemahaman Siswa tentang Titik dan Garis. (2025). IMEJ Indonesian Mathematics Education Journal, 2(2), 165-180. https://doi.org/10.21154/imej.v2i2.51