Mathematical connection profile of low-achieving students in pythagorean theorem problems
DOI:
10.29303/jm.v8i2.11869Published:
2026-05-29Downloads
Abstract
Mathematical connection ability is a fundamental competency that Indonesian students have not yet developed optimally, as evidenced by persistently low performance on both national and international assessments. This condition warrants in-depth qualitative investigation, particularly among low-achieving students whose specific connection difficulties remain poorly understood. This qualitative descriptive study was conducted at SMA Negeri 3 Semarang. A total of 72 tenth-grade students completed a preliminary written test measuring three NCTM mathematical connection indicators. Based on the results, ten students fulfilling at most one indicator were selected through purposive sampling as interview subjects. Data from semi-structured interviews were analyzed using the Miles and Huberman model. Results revealed nine subjects fulfilled only Indicator 1, one fulfilled only Indicator 2, and none fulfilled Indicator 3. Interview exploration revealed distinct thinking processes across all three indicators and three qualitative patterns of connection difficulty comprising weak prerequisite mastery, inability to link concepts that were individually understood, and inability to complete problem-solving despite having a sense of the solution path. These findings highlight the importance of diagnostic and instructional approaches tailored to the specific nature of each student's difficulty.
Keywords:
mathematical connection low-achieving students NCTM indicators Pythagorean theorem qualitative researchReferences
Aziz, A., Caswita, C., & Sutiarso, S. (2025). Efektivitas Open-ended Problem Ditinjau dari Kemampuan Pemecahan Masalah dan Berpikir Kreatif Matematis: Kajian Literatur. Mandalika Mathematics and Educations Journal, 7(2), 461–478. https://doi.org/10.29303/jm.v7i2.7139
Bingölbali, E., & Coskun, M. (2016). A proposed conceptual framework for enhancing the use of making connections skill in mathematics teaching. Egitim ve Bilim, 41(183), 233–249. https://doi.org/10.15390/EB.2016.4764
Eli, J. A., Mohr-Schroeder, M. J., & Lee, C. W. (2011). Exploring mathematical connections of prospective middle-grades teachers through card-sorting tasks. Mathematics Education Research Journal, 23(3), 297–319. https://doi.org/10.1007/s13394-011-0017-0
García-García, J., & Dolores-Flores, C. (2021). Exploring pre-university students’ mathematical connections when solving Calculus application problems. International Journal of Mathematical Education in Science and Technology, 52(6), 912–936. https://doi.org/10.1080/0020739X.2020.1729429
Goldin, G. A. (2000). A Scientific Perspective on Structured, Task-Based Interviews in Mathematics Education Research. In A. E. Kelly & R. A. Lesh (Eds.), Handbook of Research Design in Mathematics and Science Education (pp. 517–545). Lawrence Erlbaum Associates.
Hasanah, E. N., & Aini, I. N. (2021). Analisis kemampuan koneksi matematis dalam menyelesaikan soal bangun datar segiempat di SMP. Jurnal Ilmiah Pendidikan Matematika, 6(1), 85–91. https://doi.org/10.26877/jipmat.v6i1.7985
Hayagan, M. S. (2025). Exploring Mathematical Connections Among Mathematics Major students: A mixed-method. IJMERI: International Journal of Multidisciplinary Educational Research and Innovation, 3(4), 496–517. https://doi.org/10.64637/632726
Hidayah, N., Fauziyah, N., & Khikmiyah, F. (2024). Analisis kemampuan koneksi matematis peserta didik SMP ditinjau dari kemandirian belajar. Ideguru: Jurnal Karya Ilmiah Guru, 9(2), 932–941. https://doi.org/10.51169/ideguru.v9i2.1010
Hiebert, J., & Carpenter, T. P. (1992). Learning and Teaching with Understanding. In D. A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning (pp. 65–97). National Council of Teachers of Mathematics.
Jahring, J. (2020). Kemampuan koneksi matematis pada model pembelajaran CORE dan NHT. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(1), 182–189. https://doi.org/10.24127/ajpm.v9i1.2667
Kenedi, A. K., Helsa, Y., Ariani, Y., Zainil, M., & Hendri, S. (2019). Mathematical connection of elementary school students to solve mathematical problems. Journal on Mathematics Education, 10(1), 69–80. https://jme.ejournal.unsri.ac.id/index.php/jme/article/view/3777
Komalasari, I., & Imami, A. I. (2022). Analisis kemampuan koneksi matematis siswa smp kelas VIII pada materi pythagoras. AKSIOMA: Jurnal Matematika Dan Pendidikan Matematika, 13(3), 392–402. https://doi.org/10.26877/aks.v13i3.13988
Liwalidya, L., Baidowi, B., Kurniawan, E., & Soeprianto, H. (2024). Analisis Kemampuan Berpikir Kreatif Matematis Ditinjau dari Kemandirian Belajar Pada Materi Bangun Ruang Sisi Datar. Mandalika Mathematics and Educations Journal, 6(2), 557–570. https://doi.org/10.29303/jm.v6i2.7728
Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative Data Analysis: A Methods Sourcebook (3rd ed.). SAGE Publications.
NCTM. (2000). Principles Standards and for School Mathematics. National Council of Teachers of Mathematics.
OECD. (2023). PISA 2022 Results (Volume I): The State of Learning and Equity in Education. OECD. https://doi.org/10.1787/53f23881-en
Presmeg, N. (2006). Research on visualization in learning and teaching mathematics. In Angel. Gutiérrez & Paolo. Boero (Eds.), Handbook of Research on the Psychology of Mathematics Education : Past, Present and Future (pp. 205–235). Sense Publishers. https://doi.org/10.1163/9789087901127
Presmeg, N. (2020). Visualization and learning in mathematics education. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (2nd ed., pp. 900–903). Springer Nature. https://doi.org/10.1007/978-3-030-15789-0_161
Suparti, & Netriwati. (2021). The MASTER (motivating, acquiring, searching, triggering, exhibiting, reflecting) learning model based on edutainment and motivation: Impact and interaction on mathematical connections skills. Journal of Advanced Sciences and Mathematics Education, 1(1), 7–13. https://doi.org/10.58524/jasme.v1i1.5
Sweller, J. (2024). Cognitive load theory and individual differences. Learning and Individual Differences, 110. https://doi.org/10.1016/j.lindif.2024.102423
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