Algorithmic Reasoning: A Type of Imitative Reasoning in Solving Geometry Problems

Authors

Keywords:

imitative reasoning, algorithmic reasoning, geometri problems

Abstract

This study aims to describe imitative reasoning of the algorithmic reasoning type among junior high school students in solving mathematics problems. Imitative reasoning is a way of thinking that follows procedures that have been taught without fully understanding the underlying concepts of the strategies. Meanwhile, algorithmic reasoning refers to imitative reasoning that relies on recalling strategies learned in previous lessons. This research employed a qualitative descriptive approach and was conducted with grade VIII students at one of the MTsN in Kediri City in the 2024/2025 academic year. Two subjects were selected based on test answer criteria that indicated the use of imitative procedures in problem-solving strategies that were frequently encountered, as well as imitation of strategies derived from information related to the questions. The results showed that the subjects did not fully understand the basic concepts underlying the selection of problem-solving strategies. They focused only on strategies that were familiar or had been learned previously. Interview results revealed that the two subjects had different bases for choosing strategies: S1 selected strategies based solely on those used in familiar problems, while S2 relied on surface information connected to the strategies they remembered. However, both subjects were unable to justify or prove the correctness of the strategies they chose.

References

Agusti, F. A., Herman, T., & Zafirah, A. (2023). Kemampuan Penalaran Imitatif Dan Kreatif Matematis Siswa Smp Pada Materi Persamaan Garis Lurus. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(1), 1447. https://doi.org/10.24127/ajpm.v12i1.7042

Amalia, S. R. (2017). Analisis Kesalahan Berdasarkan. Aksioma, 8(1), 17–30.

Bahanan, Z., Parta, I. N., & Slamet, S. (2023). Penalaran Imitatif Siswa Berkemampuan Matematika Tinggi dalam Memahami Sistem Persamaan Linear Dua Variabel. Jurnal Cendekia?: Jurnal Pendidikan Matematika, 7(2), 1379–1391. https://doi.org/10.31004/cendekia.v7i2.2283

Bergqvist, E. (2012). University Mathematics Teachers’ Views on the Required Reasoning in Calculus Exams. The Mathematics Enthusiast, 9(3), 371–408. https://doi.org/10.54870/1551-3440.1251

Durrotun Nabilah, Ismail, & Elly Matul Imah. (2023). Identifikasi Penalaran Kreatif-Imitatif Siswa dengan Gaya Kognitif Reflektif. EDUKASIA: Jurnal Pendidikan Dan Pembelajaran, 4(1), 119–126. https://doi.org/10.62775/edukasia.v4i1.229

Hendriana, H. (2012). Pembelajaran Matematika Humanis Dengan Metaphorical Thinking Untuk Meningkatkan Kepercayaan Diri Siswa. Infinity Journal, 1(1), 90. https://doi.org/10.22460/infinity.v1i1.9

Hidayat, A., Sa’dijah, C., & Sulandra, I. M. (2019). Proses Berpikir Siswa Field Dependent dalam Menyelesaikan Masalah Geometri Berdasarkan Tahapan Polya. Jurnal Pendidikan: Teori, Penelitian, Dan Pengembangan, 4(7), 923. https://doi.org/10.17977/jptpp.v4i7.12634

Jangkung, S. S., & Robert, H. (2022). Jurnal Inovasi Pendidikan Madrasah Ibtidaiyah. 22–29.

Kusaeri, K., Arrifadah, Y., & Dina, A. M. (2021). Bagaimana Bentuk Tugas Matematika Yang Mampu Mendorong Munculnya Penalaran Imitatif Dan Kreatif? AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(4), 2145. https://doi.org/10.24127/ajpm.v10i4.3887

Kusumaningtyas, N., Parta, I. N., & Susanto, H. (2021). Kemampuan Penalaran Matematis Siswa dalam Memecahkan Masalah Matematika pada Saat Pembelajaran Daring. Jurnal Cendekia?: Jurnal Pendidikan Matematika, 6(1), 107–119. https://doi.org/10.31004/cendekia.v6i1.1019

Lithner, J. (2006). A framework for Analysing Creative and Imitative Mathematical Reasoning. Education Studies in Mathematics, 67, 255–276. https://doi.org/10.1007/s10649-007-9104-2

Lithner, J. (2008). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67(3), 255–276. https://doi.org/10.1007/s10649-007-9104-2

Lithner, J. (2017). Principles for designing mathematical tasks that enhance imitative and creative reasoning. ZDM - Mathematics Education, 49(6), 937–949. https://doi.org/10.1007/s11858-017-0867-3

Nurussafa’at, F. A., Sujadi, I., & Riyadi. (2016). Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Cerita Pada Materi Volume Prisma Dengan Fong’S Shcematic Model for Error Analysis Ditinjau Dari Gaya Kognitif Siswa (Studi Kasus Siswa Kelas Viii Semester Ii Smp It Ibnu Abbas Klaten Tahun Ajaran 2013/2014. Jurnal Elektronik Pembelajaran Matematika, 4(2), 174–187. http://jurnal.fkip.uns.ac.id

Sukirwan, Darhim, D., & Herman, T. (2018). Analysis of students’ mathematical reasoning. Journal of Physics: Conference Series, 948(1). https://doi.org/10.1088/1742-6596/948/1/012036

Sulistiowati, D. L. (2022). Faktor Penyebab Kesulitan Siswa dalam Memecahkan Masalah Geometri Materi Bangun Datar. Jurnal Multidisiplin Ilmu, 1(5), 941–951.

Syafa’atun. (2024). Kajian Literatur: Peran Penalaran Matematis dalam Pengembangan Kompetensi Matematika Siswa SMP. Jurnal Pendidikan Tematik, 5(3), 345–350.

Downloads

Published

2026-06-04

How to Cite

Prameswari, Z. A., Hidayah, I. N., & Chandra, T. D. (2026). Algorithmic Reasoning: A Type of Imitative Reasoning in Solving Geometry Problems. PRISMA, 15(1), 10–20. Retrieved from https://jurnal.unsur.ac.id/index.php/prisma/article/view/5867

Issue

Vol. 15 No. 1 (2026): PRISMA

Section

Articles

License

Copyright (c) 2026 PRISMA

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.