Learning Obstacles and Students' Difficulties in Solving the Problem of Pythagorean Theorem: A Systematic Literature Review
Abstract
Abstract: Pythagorean's theorem is a fundamental concept in mathematics that is widely used in various fields, including geometry, physics, and engineering. The ability to understand and apply these theorems is important in solving geometric problems and calculating distances or angles in real contexts. However, there are learning obstacles and difficulties for students in solving the problems of the Pythagorean theorem. This study aims to describe the learning obstacles and difficulties of students in solving Pythagorean theorem material through Systemic Literature Review (SLR). The article search strategy applies inclusion and exclusion criteria. The selection process was 19 selected articles using CASP checklist with articles coming from Google Scholar, Scopus, Springer Link, IEEE Explore, and PubMed databases. Based on the results of the study, it was obtained that students' learning obstacles came from epistemological obstacles, ontogenic obstacles, and didactical obstacles. The students' difficulties are dominated by conceptual difficulties. Learning obstacles cause learning difficulties. Studying students' learning obstacles and difficulties can assist a teacher identify student learning problems.
Keywords: learning difficulties, learning obstacles, pythagorean theorem, systematic literature review.
DOI: http://dx.doi.org/10.23960/jpmipa/v25i4.pp1939-1960
Full Text:
PDFReferences
Agustin, R. D., Susiswo, Sa’dijah, C., & Sukoriyanto. (2024). Obstacles student mathematics semantic representation to solving geometry problems. 030001. https://doi.org/10.1063/5.0194841
Ahmad, H. (2023). Analisis kesulitan dalam menyelesaikan soal-soal teorema phytagoras pada peserta didik. ELIPS: Jurnal Pendidikan Matematika, 4(1), 15–27.
Anderson, L. W., & Krathwohl, D. R. (2001). A Taxonomy for Learning, Teaching, and Assesing: A Revision of Bloom’s Taxonomy of Educatioanl Objectives. Addison Wesley Longman, Inc.
Brousseau, G. (2002a). Theory of didactical situations in mathematics: Didactique des mathématiques (Vol. 19). New York: Kluwer Academic Publishers.
Brousseau, G. (2002b). Theory of didactical situations in mathematics: Didactique des mathématiques (Vol. 19). Kluwer Academic Publishers.
Tomlinson, C. A. (2017). Differentiated Instruction (2th ed.). Routledge.
Chevallard, Y., & Bosch, M. (2020). Anthropological theory of the didactic (ATD). In Encyclopedia of Mathematics Education (pp. 53–61). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_100034
Creswell, J. W. (2013). Qualitative inquiry & reasearch design: choosing among five approach (3rd ed.). SAGE Publications, Inc.
Datta, K., & Sarkar, S. (2019). Calculation of area, mapping and vulnerability assessment of a geomorphosite from GPS survey and high resolution Google Earth satellite image: a study in Mama Bhagne Pahar, Dubrajpur C. D. block, Birbhum district, West Bengal. Spatial Information Research, 27(5), 521–528. https://doi.org/10.1007/s41324-019-00249-1
Due, B. L. (2024). The matter of math: Guiding the blind to touch the Pythagorean theorem. Learning, Culture and Social Interaction, 45, 100792. https://doi.org/10.1016/j.lcsi.2023.100792
Gielis, J., Caratelli, D., & Tavkhelidze, I. (2020). The general case of cutting GML Bodies: the geometrical solution (pp. 397–411). https://doi.org/10.1007/978-3-030-56323-3_31
Gusenbauer, M., & Gauster, S. P. (2025). How to search for literature in systematic reviews and meta-analyses: A comprehensive step-by-step guide. Technological Forecasting and Social Change, 212, 123833. https://doi.org/10.1016/j.techfore.2024.123833
Hadimiati, A. S., Ujung, W. Y., & Wijaya, A. (2023). Kajian Literatur analisis kesulitan siswa dalam pemecahan masalah soal teorema Pythagoras kelas VIII. Relevan: Jurnal Pendidikan Matematika, 3(4), 408–414.
Hendriyanto, A., Suryadi, D., Juandi, D., Dahlan, J. A., Hidayat, R., Wardat, Y., Sahara, S., & Muhaimin, L. H. (2024). The didactic phenomenon: Deciphering students’ learning obstacles in set theory. Journal on Mathematics Education, 15(2), 517–544. https://doi.org/10.22342/jme.v15i2.pp517-544
Hikmi, H. I., Prabawati, M. N., & Ratnaningsih, N. (2024). Hypothetical learning trajectory (HLT) terhadap kemampuan penalaran matematis pada materi teorema pythagoras. Jurnal Penelitian Pembelajaran Matematika Sekolah (JP2MS), 8(2), 258–267. https://doi.org/https://doi.org/10.33369/jp2ms.8.2.258-267
Hossain, M. R., Akhter, F., & Sultana, M. M. (2022). SMEs in Covid-19 Crisis and combating strategies: a systematic literature review (slr) and a case from emerging economy. Operations Research Perspectives, 9, 100222. https://doi.org/10.1016/ j.orp.2022.100222
Hutapea, M. L., Suryadi, D., & Nurlaelah, E. (2015). Analysis of students’ epistemological obstacles on the subject of pythagorean theorem. Jurnal Pengajaran Matematika Dan Ilmu Pengetahuan Alam, 20(1), 1. https://doi.org/10.18269/ jpmipa.v20i1.555
Ifada, R. B., & Ruli, R. M. (2024). Hambatan belajar siswa sekolah menengah pertama (smp) pada materi teorema pythagoras. PHI: Jurnal Pendidikan Matematika, 8(1), 114. https://doi.org/10.33087/phi.v8i1.362
Jatisunda, M. G., Suciawati, V., & Nahdi, D. S. (2021). Pythagorean theorem concept image in junior high school: an analysis in the online-based learning. Jurnal Didaktik Matematika, 8(2), 235–249. https://doi.org/10.24815/jdm.v8i2.21902
Maknun, C. L., Rosjanuardi, R., & Jupri, A. (2022). Epistemological obstacle in learning trigonometry. Mathematics Teaching Research Journal, 14(2), 5–25.
Mandolesi, A. L. G. (2020). Projection factors and generalized real and complex pythagorean theorems. Advances in Applied Clifford Algebras, 30(3), 43. https://doi.org/10.1007/s00006-020-01070-y
Meika, I., Berliana, R., & Sartika, N. S. (2022). Desain didaktis pemahaman konsep siswa sekolah menengah pertama (SMP) pada materi teorema Pythagoras. Teorema: Teori Dan Riset Matematika, 7(2), 411. https://doi.org/10.25157/teorema. v7i2.8332
Memon, J., Sami, M., Khan, R. A., & Uddin, M. (2020). Handwritten optical character recognition (ocr): a comprehensive systematic literature review (SLR). IEEE Access, 8, 142642–142668. https://doi.org/10.1109/ACCESS.2020.3012542
Metikasari, S., Mardiyana, & Triyanto. (2019). Mathematics learning disabilities of the slow learner students on pythagorean theorem. Journal of Physics: Conference Series, 1321(2), 022120. https://doi.org/10.1088/1742-6596/1321/2/022120
Mulyanti, N. R., Yani, N., & Amelia, R. (2018). Analisis kesulitan siswa dalam pemecahan masalah matematik siswa smp pada materi teorema phytagoras. JPMI (Jurnal Pembelajaran Matematika Inovatif), 1(3), 415. https://doi.org/10.22460/jpmi.v1i3.p415-426
Murniasih, T. R., Susiswo, S., Utami, A. D., Lanya, H., Putri, O. R. U., & Parameswari, P. (2024). Limit: Identification of student epistemological obstacles. 030011. https://doi.org/10.1063/5.0235275
Puspitarani, & Retnawati, H. (2020). Diagnosis of learning difficulties in mathematics for students resolving problems related to material in the pythagorean theorem for 8th grade students in SMP 1 Todanan and SMP Muhammadiyah 9 Todanan, academic year 2018/2019. Journal of Physics: Conference Series, 1581(1), 012026. https://doi.org/10.1088/1742-6596/1581/1/012026
Rahmi, L., Yulianti, K., & Prabawanto, S. (2022). Students’ learning obstacles on the topic of Pythagorean theorem. 070036. https://doi.org/10.1063/5.0102556
Rina, R., & Bernard, M. (2021). Analisis kesalahan siswa SMP Kelas VIII dalam menyelesaikan soal pada materi teorema pythagoras. Jurnal Cendekia : Jurnal Pendidikan Matematika, 5(3), 2836–2845. https://doi.org/10.31004/cendekia.v5i3.870
Rudi, R., Suryadi, D., & Rosjanuardi, R. (2020). Identifying students’ difficulties in understanding and applying pythagorean theorem with an onto-semiotic approach. MaPan, 8(1), 1–18. https://doi.org/10.24252/mapan.2020v8n1a1
Sari, H. P., & Fuadiah, N. F. (2021). Learning obstacle, hypothetical desain hipotetik pembelajaran teorema pythagoras: hypothetical learning trajectory pembelajaran teorema Pythagoras. Jurnal Didaktis Indonesia, 1(2), 104–115.
Sari, W. P., Purwasi, L. A., & Yanto, Y. (2020). Analisis kesalahan siswa dalam menyelesaikan soal cerita materi teorema pythagoras. Transformasi : Jurnal Pendidikan Matematika Dan Matematika, 4(2), 387–401. https://doi.org/10.36526/tr.v4i2.1009
Siswanto, S. (2010). Systematic review sebagai metode penelitian untuk mensintesis hasil-hasil penelitian (sebuah pengantar). Buletin Penelitian Sistem Kesehatan, 13(4), 326–333. https://www.neliti.com/publications/21312/systematic-review-sebagai-metode-penelitian-untuk-mensintesis-hasil-hasil-peneli
Triandini, E., Jayanatha, S., Indrawan, A., Werla Putra, G., & Iswara, B. (2019). Metode systematic literature review untuk identifikasi platform dan metode pengembangan sistem informasi di Indonesia. Indonesian Journal of Information Systems, 1(2), 63. https://doi.org/10.24002/ijis.v1i2.1916
Velria, J., Sri, H., & Tatik, R. M. (2022). Analisis kesalahan peserta didik dalam penyelesaian soal cerita teorema pythagoras berdasarkan teori newman. Journal Focus Action of Research Mathematic (Factor M), 4(2), 139–152. https://doi.org/10.30762/factor_m.v4i2.3722
Walsh, D., & Downe, S. (2005). Meta‐synthesis method for qualitative research: a literature review. Journal of Advanced Nursing, 50(2), 204–211. https://doi.org/10.1111/j.1365-2648.2005.03380.x
Zapatera Llinares, A., Quevedo Gutiérrez, E., González Gallego, S., Santana Coll, A., & Álamo Rosales, J. (2024). Obstáculos y dificultades de los alumnos en la incorporación de los números enteros. Avances de Investigación En Educación Matemática, 26, 41–63. https://doi.org/10.35763/aiem26.4725
Refbacks
- There are currently no refbacks.
Copyright (c) 2024 Jurnal Pendidikan MIPA

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
The copyright is reserved to The Jurnal Pendidikan MIPA that is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.