STUDENT ERROR IN CIRCUMFERENTIAL AND CIRCULAR AREA MATERIALS: ANALYSIS BASED ON THE NOLTING CLASSIFICATION

Naufal Luqman, Julva Rizky Fadilah, Indry Zahra

Abstract


This study aims to analyze students' errors in solving problems around the perimeter and area of the circle based on the error category according to Nolting. These errors include conceptual, procedural, and calculation errors. The method used in this study is qualitative descriptive. The subjects of the study were 30 grade VIII students from a junior high school in Tasikmalaya. Research instruments included a written test designed to identify the type of error according to Nolting as well as a semi-structured interview to dig deeper into the causes of the error. The results showed that 28.5% of students experienced conceptual errors, 53.5% of students experienced procedural errors and 14.2% of students experienced calculation errors. Most students experience conceptual errors because they make mistakes in using the circumference and circle area formulas. Students also tend to make mistakes in distinguishing diameters and radius, as well as calculation errors on decimal numbers in multiplication and division operations. The discussion underlined that procedural errors are mostly caused by students' lack of conceptual understanding of the circle formula, while calculation errors often arise due to a lack of precision. The implementation of this research can be used by mathematics teachers to design more effective teaching strategies in overcoming students' systematic errors, such as emphasizing the understanding of basic concepts before introducing more complex problems, as well as increasing exercises that involve the application of formulas in a variety of ways.


References


Abdul Wahid, D. A., Wahyuningsih, E. D., & Paridjo, P. (2021). Analisis Kesalahan Siswa Secara Prosedural Dalam Menyelesaikan Soal Transformasi Geometri. JIPMat, 6(1), 24–33. https://doi.org/10.26877/jipmat.v6i1.8125

Anwar, Z., & Hidayani. (2020). Analisis Kesalahan Siswa SMP Kelas VIII dalam Menyelesaikan Soal Lingkaran. Mercumatika: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 4(2), 71–79. https://doi.org/https://doi.org/10.26486/jm.v4i2.1162

Aritonang, T. D., & Pujiastuti, H. (2023). SLR: Kesalahan Siswa dalam Memecahkan Masalah Geometri Berdasarkan Teori Newman. GAMMATH: Jurnal Ilmiah Program Studi Pendidikan Matematika, 8(2), 83–93. https://doi.org/10.32528/gammath.v8i2.544

Dewanti, S. S., & Muna, K. (2023). Analisis Kemampuan Komunikasi Matematis Pada Soal Cerita Aritmetika Sosial. JNPM (Jurnal Nasional Pendidikan Matematika), 7(2), 263. https://doi.org/10.33603/jnpm.v7i2.7885

Evianti, N., Jafar, J., Busnawir, B., & Masi, L. (2019). Analisis Kesalahan Siswa Kelas IX MTs Negeri 2 Kendari Dalam Menyelesaikan Soal-Soal Lingkaran. Jurnal Pendidikan Matematika, 10(2), 138. https://doi.org/10.36709/jpm.v10i2.7247

Fitri, N. L., & Prahmana, R. C. I. (2020). Designing Learning Trajectory of Circle Using the Context of Ferris Wheel. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 5(3), 247–261. https://doi.org/10.23917/jramathedu.v5i3.10961

Handayani, S. D. (2019). Pengaruh Kecemasan Matematika terhadap Pemahaman Konsep Matematika. SAP: Susunan Artikel Pendidikan, 4(1), 59–65. https://doi.org/10.30998/sap.v4i1.3708

Hisyam, F. N., Sukoriyanto, S., & Sulandra, I. M. (2023). Penalaran Spasial Siswa SMP Pada Materi Geometri Bangun Ruang Berdasarkan Tipe Kepribadian Ekstrovert dan Introvert. Jurnal Cendekia : Jurnal Pendidikan Matematika, 7(3), 2990–3005. https://doi.org/10.31004/cendekia.v7i3.2500

Jala, W. (2021). Penggunaan Media Pembelajaran Visual dalam Meningkatkan Pemahaman Konsep Matematika Siswa di Kelas IV SD Inp. Maulafa. Jurnal Teknologi Pendidikan, 9(3)(1), 210–225.

Jefrizal, J., Kartini, K., & Noviarni, N. (2021). Analisis Kesalahan Konseptual, Prosedural, dan Teknis Siswa pada Materi Aritmatika Sosial. Suska Journal of Mathematics Education, 7(2), 105. https://doi.org/10.24014/sjme.v7i2.13593

Kartika, H., & Mutmainah, S. (2019). Representasi Pengetahuan Secara Visual: Kajian Terhadap Orang Tunanetra dan Pemecahan Masalah Matematika Soal Cerita. Jurnal Kajian Pembelajaran Matematika, 3(2), 58–66.

Kusuma, A. P., Aslamia, A. S., Sintiya, H., Rahayu, R. G., & Rahmawati, N. K. (2023). Analysis of Students’ Difficulties in Solving Problems Related to Solid Geometry. Brillo Journal, 2(2), 108–121. https://doi.org/10.56773/bj.v2i2.37

Luqman, N., Muhtadi, D., & Sukirwan. (2024). Kesulitan Peserta Didik dan Faktor-Faktor Pada Materi Keliling dan Luas Lingkaran. WILANGAN: Jurnal Inovasi Dan Riset Pendidikan Matematika, 5(3). https://doi.org/https://dx.doi.org/10.56704/jirpm.v5i3.27436

Manfaat, B. (2024). Membumikan Matematika: Dari Kampus ke Kampung (II). Eduvision.

Nainggolan, B. V. H., & Listiani, T. (2024). Pentingnya Pemberian Umpan Balik untuk Memperbaiki Kesalahan Siswa dalam Menyelesaikan Soal Matematika. Plusminus: Jurnal Pendidikan Matematika, 4(1), 55–68. https://doi.org/https://doi.org/plusminus.v4i1.1460

Nolting, P. D. (2012). Math Study Skills Workbook : Your Guide to Reducing Text Anxiety and Improving Study Strategies (M. Bove, S. Beeck, W. Shaun, & Z. Crockett (eds.); IV). Enhanced WebAssign.

Pasaribu, J., & Syahputra, E. (2022). Pengembangan Perangkat Pembelajaran Interaktif Berbasis Pendekatan Pembelajaran Matematika Realistik Untuk Meningkatkan Kemampuan Spasial Siswa SMP. GENTA MULIA: Jurnal Ilmiah Pendidikan, 13(2), 20–46. https://doi.org/https://doi.org/10.61290/gm.v13i2.102

Riyanto, A., & Ishartono, N. (2022). Kemampuan Berpikir Kritis Siswa dalam Menyelesaikan Artimatika Sosial Ditinjau dari Kemampuan Matematis dan Gender. Jurnal Cendekia : Jurnal Pendidikan Matematika, 6(3), 2552–2568. https://doi.org/10.31004/cendekia.v6i3.1435

Safari, Y., & Nurhida, P. (2024). Pentingnya Pemahaman Konsep Dasar Matematika dalam Pembelajaran Matematika. Karimah Tauhid, 3(10), 11283–11290. https://doi.org/https://doi.org/10.30997/karimahtauhid.v3i10.14690

Safari, Y., & Putri Faradila, Z. (2024). Pentingnya Penguasaan Operasi Hitung Dasar dalam Pemecahan Masalah Matematika. Karimah Tauhid, 3(8), 8373–8380.

Simamora, L., Hernaeny, U., & Handayani, F. (2022). Analisis Kesalahan Siswa Pada Materi Lingkaran ditinjau dari Pemahaman Konsep Matematika Siswa. Jurnal Pendidikan Dan Konseling, 4(6), 9707–9713. https://doi.org/https://doi.org/10.31004/jpdk.v4i6.9914

Situmorang, D. Y. (2024). Teknologi Pendidikan Efektivitas Pembelajaran Kolaboratif Berbasis Teknologi dalam Teknologi Pendidikan. Teknologi Pendidikan, 3(1), 146–151. https://doi.org/10.56854/tp.v3i1.231

Suhady, W., Roza, Y., & Maimunah, M. (2019). Identifikasi Kesalahan Konseptual Dan Prosedural Siswa Dalam Menyelesaikan Soal Pada Materi Dimensi Tiga. Jurnal Cendekia : Jurnal Pendidikan Matematika, 3(2), 494–504. https://doi.org/10.31004/cendekia.v3i2.143

Ulhaq, S., & Yuspriyanti, D. N. (2022). Analisis Kesalahan Siswa dalam Menyelesaikan Soal Lingkaran. JPMI: Jurnal Pembelajaran Matematika Inovatif, 5(1), 195–202. https://doi.org/DOI 10.22460/jpmi.v5i1.195-202

Umami, I. N., & Asdarina, O. (2024). Analisis Level Berpikir Geometris Siswa SMP dalam Menyelesaikan Soal Lingkaran Berdasarkan Teori Van Hiele. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 4(1), 460–471. https://doi.org/10.51574/kognitif.v4i1.1554




DOI: https://doi.org/10.37058/jarme.v7i1.13438

Refbacks

  • There are currently no refbacks.


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


Journal of Authentic Research on Mathematics Education (JARME)
Program Studi Magister Pendidikan Matematika, Pascasarjana Universitas Siliwangi
Jl. Siliwangi no. 24 Kota Tasikmalaya - 46115
email: [email protected]
e-ISSN: 2655-7762
Licensed under a Creative Commons Attribution 4.0 International License
StatCounter:
WebAnalytics Made Easy - StatCounter
Detail

Indexed by :

Moraref One Search BASE - Bielefeld Academich Search Engine DRJI Indexed Journal