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This study aims to identify types of errors made by students and their conceptions related to the concept of relations and functions. This research is a descriptive study with a qualitative approach conducted in eight grades at one of Madrasah Tsanawiyah in Kabupaten Bandung Barat. The research subjects were taken from 26 students who answered incorrectly on a given test. The research instrument was in the form of a diagnostic test based on basic competencies and indicators in the Relations and Function material. In-depth interviews were conducted with students who made mistakes in answering. Based on the data analysis, the mistakes made were: 1) conceptual error type 1, 2) conceptual error type 2, 3) procedural error, 4) technical error, and 5) error in understanding the problem. One of the causes of students' mistakes is the dissimilar concept between students’ and scientific conceptions.

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  1. As’ari, A. R., Tohir, M., Valentino, E., Imron, Z., & Taufiq, I. (2017). Buku guru matematika (Revisi). Jakarta: Pusat Kurikulum dan Perbukuan, Balitbang, Kemendikbud.

  2. [Google Scholar]


  4. Bell, B. F. (1993). Children’s science, constructivism and learning in science. Victoria: Deakin University Pers.

  5. [Google Scholar]


  7. Bell, F. H. (1981). Teaching and learning mathematics (in secondary school). IOWA: WnC Brown Comp.

  8. [Google Scholar]


  10. Blanco, L. J., Lizarazo, J. A. C., Figueiredo, C. A., & Contreras, L. C. (2014). The concept of function and his teaching and learning. Far East Journal of Mathematical Education, 12(1), 47-78.

  11. [Article]     [Google Scholar]


  13. Hakim, H., Solechatun, S., & Istiqomah, I. (2020). Analisis kesalahan siswa dalam menyelesaikan soal uraian matematika kelas VIII SMP Taman Dewasa Ibu Pawiyatan. UNION: Jurnal Ilmiah Pendidikan Matematika, 8(1), 63-72. doi:10.30738/union.v8i1.7611

  14. [Article]     [Google Scholar]


  16. Hatısaru, V., & ErbaÅŸ, A. K. (2010). Students’ perceptions of the concept of function: The case of Turkish students attending vocational high school on industry. Procedia-Social and Behavioral Sciences, 2(2), 3921-3925. doi:10.1016/j.sbspro.2010.03.617

  17. [Article]     [Google Scholar]


  19. Hidayat, W., & Sariningsih, R. (2018). Kemampuan pemecahan masalah matematis dan adversity quotient siswa SMP melalui pembelajaran open ended. JNPM (Jurnal Nasional Pendidikan Matematika), 2(1), 109-118.

  20. [Article]     [Google Scholar]


  22. Irawati, R., Indiati, I., & Shodiqin, A. (2014). Miskonsepsi peserta didik dalam menyelesaikan soal pada materi relasi dan fungsi kelas VIII semester gasal SMP Negeri 4 Kudus. MATHEMATICS AND SCIENCES FORUM 2014.

  23. [Article]     [Google Scholar]


  25. Istiqomah, D. N. (2015). Learning obstacles terkait kemampuan problem solving pada konsep fungsi matematika SMP. Prosiding seminar nasional matematika dan pendidikan matematika UNY, 407-412.

  26. [Article]     [Google Scholar]


  28. Johari, P. M. A. R. P., & Shahrill, M. (2020). The common errors in the learning of the simultaneous equations. Infinity Journal, 9(2), 263-274. doi:10.22460/infinity.v9i2.p263-274

  29. [Article]     [Google Scholar]


  31. Kamariah, K., & Marlissa, I. (2016). Analisis kesalahan menyelesaikan soal relasi dan fungsi pada siswa kelas VIII SMP Negeri Buti Merauke. Magistra: Jurnal Keguruan dan Ilmu Pendidikan, 3(1), 30-42.

  32. [Article]     [Google Scholar]


  34. Kariadinata, R., Yaniawati, R. P., Sugilar, H., & Riyandani, D. (2019). Learning motivation and mathematical understanding of students of islamic junior high school through active knowledge sharing strategy. Infinity Journal, 8(1), 31-42. doi:10.22460/infinity.v8i1.p31-42

  35. [Article]     [Google Scholar]


  37. Kiat, S. E. (2005). Analysis of students’ difficulties in solving integration problems. The Mathematics Educator, 9(1), 39-59.

  38. [Article]     [Google Scholar]


  40. Ministry of Education and Culture of the Republic Indonesia [MECRI]. (2016a). Peraturan menteri pendidikan dan kebudayaan republik Indonesia nomor 21 tahun 2016 tentang standar isi pendidikan dasar dan menengah. Jakarta: Kementerian Pendidikan dan Kebudayaan Republik Indonesia.

  41. [Article]


  43. Ministry of Education and Culture of the Republic Indonesia [MECRI]. (2016b). Peraturan menteri pendidikan dan kebudayaan republik Indonesia nomor 24 tahun 2016 tentang kompetensi inti dan kompetensi dasar pelajaran pada kurikulum 2013 pada pendidikan dasar dan pendidikan menengah. Jakarta: Kementerian Pendidikan dan Kebudayaan Republik Indonesia.

  44. [Article]


  46. Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational studies in mathematics, 22(1), 1-36. doi:10.1007/BF00302715

  47. [Article]     [Google Scholar]


  49. Simon, M. A. (2017). Explicating mathematical concept and mathematicalconception as theoretical constructs for mathematics education research. Educational Studies in Mathematics, 94(2), 117-137. doi:10.1007/s10649-016-9728-1

  50. [Article]     [Google Scholar]


  52. Slavit, D. (1997). An alternate route to the reification of function. Educational Studies in Mathematics, 33(3), 259-281. doi:10.1023/A:1002937032215

  53. [Article]     [Google Scholar]


  55. Tall, D. (1988). Concept image and concept definition. Senior Secondary Mathematics Education, 1983, 37–41.

  56. [Google Scholar]


  58. Tall, D., & Vinner, S. (1981). Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational studies in mathematics, 12(2), 151-169. doi:10.1007/BF00305619

  59. [Article]     [Google Scholar]


  61. Viholainen, A. (2008). Incoherence of a concept image and erroneous conclusions in the case of differentiability. The Mathematics Enthusiast, 5(2), 231-248.

  62. [Article]     [Google Scholar]


  64. Zetterberg, H. L. (1966). On theory and verification in sociology. Science and Society, 30(1), 114-117.

  65. [Article]     [Google Scholar]