Decoding Student Struggles in Geometry: Newman Error Analysis of Higher-Order Thinking Skills
Main Article Content
Abstract
Maths is one of the most challenging courses for many pupils. Maths is often the most complex subject for many students. Newman's Error Analysis analyses eighth-graders math problems. Assessing higher-order cognitive ability is the primary purpose. This qualitative study was conducted in a Majalengka, West Java, junior high. Five randomly selected kids with different math skills participated. Following up with interviews and testing Bloom's taxonomy's latest HOTS signal questions were the critical data collection approaches. These questions test analytical (C4), evaluative (C5), and creative (C6) skills. Students had to model, sketch, confirm geometric calculations, and calculate dimensions using available components. Newman's Error Analysis was applied to analyse typical misunderstandings and errors. This exercise showed students' geometric reasoning and problem-solving weaknesses. The findings suggest customised teaching methods to improve students' geometric knowledge and performance. Reducing data, presenting facts, and concluding helped us comprehend pupils' cognitive processes and geometric challenges.
Article Details
References
Agani, Y. M. A. (2021). The effect of the collaborative learning technique on students’ educational performance in math. Journal for the Mathematics Education and Teaching Practices, 2(2), 93–103.
AL-Rababaha, Y., Yew, W. T., & Meng, C. C. (2020). Misconceptions in School Algebra. International Journal of Academic Research in Business and Social Sciences, 10(5). https://doi.org/10.6007/IJARBSS/v10-i5/7250
Amin, N., Gazali, M., & Herna, H. (2022). Analisis Kesulitan Siswa Kelas VII dalam Memecahkan Masalah Matematika Materi Operasi Bentuk Aljabar. Jurnal Pendidikan Matematika (Judika Education), 5(2), 176–186. https://doi.org/10.31539/judika.v5i2.4998
Ampur, G. R. T., Susilo, D. A., & Fayeldi, T. (2021). Analisis Kesalahan Siswa Pada Pemecahan Masalah Matematika Berdasarkan Newman’S Error Analysis. Rainstek Jurnal Terapan Sains Dan Teknologi, 3(1), 1–5. https://doi.org/10.21067/jtst.v3i1.4930
Angraini, L. M., Larsari, V. N., Muhammad, I., & Kania, N. (2023). Generalizations and analogical reasoning of junior high school viewed from bruner’s learning theory. 12(2), 291–306.
Chapman, C. S. (1997). Reflections on a contingent view of accounting. Accounting, Organizations and Society, 22(2), 189–205. https://doi.org/10.1016/S0361-3682(97)00001-9
Fajriadi, D., Priyadi, R., & Rahayu, D. V. (2022). PENGEMBANGAN MEDIA PEMBELAJARAN GEOGEBRA BOOK MATERI DIMENSI TIGA. Teorema: Teori Dan Riset Matematika, 7(2), 453. https://doi.org/10.25157/teorema.v7i2.8813
Ferretti, M. B., & Karbstein, K. (2019). Does functional specialization of ribosomes really exist? Rna, 25(5), 521–538. https://doi.org/10.1261/rna.069823.118
Hanan, M. P., & Alim, J. A. (2023). ANALISIS KESULITAN BELAJAR MATEMATIKA SISWA KELAS VI SEKOLAH DASAR PADA MATERI GEOMETRI. Al-Irsyad Journal of Mathematics Education, 2(2), 59–66. https://doi.org/10.58917/ijme.v2i2.64
Hassan, K. A. F. A. (2023). The Efficacy of Integrating Augmented Reality in Education on Learner’S Motivation and Reflective Thinking Among University Students. 155.
Huan, C., Meng, C. C., & Suseelan, M. (2022). Mathematics Learning from Concrete to Abstract (1968-2021): A Bibliometric Analysis. Participatory Educational Research, 9(4), 445–468. https://doi.org/10.17275/per.22.99.9.4
Kania, N., Fitriani, C., & Bonyah, E. (2023). Analysis of Students’ Critical Thinking Skills Based on Prior Knowledge Mathematics. International Journal of Contemporary Studies in Education (IJ-CSE), 2(1), 49–58. https://doi.org/10.56855/ijcse.v2i1.248
Kania, N., & Juandi, D. (2023). Does self-concept affect mathematics learning achievement ? 17(3), 455–461. https://doi.org/10.11591/edulearn.v17i3.20554
Karlina, A. (2022). STUDENTS’ PROBLEM-SOLVING ABILITY IN SOLVING MATHEMATICAL PROBLEMS BASED ON POLYA’S METHOD AS A CRITERION FOR MEASURING LEARNING RESULTS. Alifmatika: Jurnal Pendidikan Dan Pembelajaran Matematika, 4(2), 176–191. https://doi.org/10.35316/alifmatika.2022.v4i2.176-191
Klymchuk, S. (2015). Provocative mathematics questions: Drawing attention to a lack of attention. Teaching Mathematics and Its Applications, 34(2), 63–70. https://doi.org/10.1093/teamat/hru022
Komalasari, E., Sumarni, S., & Adiastuty, N. (2021). ANALISIS DESAIN DIDAKTIS SEGIEMPAT YANG DIKEMBANGKAN MENGGUNAKAN MODEL PEMBELAJARAN BERBASIS MASALAH. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 4(1), 23–35. https://doi.org/10.30605/proximal.v4i1.502
Lindberg, R., & Brown, R. D. (2018). Mathematical Difficulties and Exceptionalities. In Neuroscience of Mathematical Cognitive Development (pp. 97–118). Springer International Publishing. https://doi.org/10.1007/978-3-319-76409-2_6
Ling, A. N. B., & Mahmud, M. S. (2023). Challenges of teachers when teaching sentence-based mathematics problem-solving skills. Frontiers in Psychology, 13. https://doi.org/10.3389/fpsyg.2022.1074202
Mpuangnan, K. N., & Ntombela, S. (2024). Community voices in curriculum development. Curriculum Perspectives, 44(1), 49–60. https://doi.org/10.1007/s41297-023-00223-w
Mukminah, M., & Riana, R. (2020). Analisis Kesalahan Newman (Newman Error Analysis-Nea): Perbandingan Ketelitian Antara Siswa Yang Menghafal Dan Tidak Menghafal Alqur’an. JIKAP PGSD: Jurnal Ilmiah Ilmu Kependidikan, 4(1), 46. https://doi.org/10.26858/jkp.v4i1.12045
Napsawati, Yusdarina, Sakti, I., & Idamayanti, R. (2023). Identifikasi Kesalahan Pengerjaan Materi Dilatasi Waktu Berdasarkan Newman Error Analysis (NEA). JIPFRI (Jurnal Inovasi Pendidikan Fisika Dan Riset Ilmiah), 7(1), 28–34. https://doi.org/10.30599/jipfri.v7i1.2133
Nathan, M. J., Kintsch, W., & Young, E. (1992). A Theory of Algebra-Word-Problem Comprehension and Its Implications for the Design of Learning Environments. Cognition and Instruction, 9(4), 329–389. https://doi.org/10.1207/s1532690xci0904_2
Nisa, N. K., & Dewanti, S. S. (2023). Analysis of Mathematical Connection Ability on Gender Differences of Junior High School Students. Al Khawarizmi: Jurnal Pendidikan Dan Pembelajaran Matematika, 7(1), 48. https://doi.org/10.22373/jppm.v7i1.17993
Novita, R., Prahmana, R. C. I., Fajri, N., & Putra, M. (2018). Penyebab kesulitan belajar geometri dimensi tiga. Jurnal Riset Pendidikan Matematika, 5(1), 18–29. https://doi.org/10.21831/jrpm.v5i1.16836
Nurhakim, L., Bistari, B., & Yani, A. (2023). Pemahaman Konsep Geometri Garis Lurus pada Mahasiswa di Institut Agama Islam Sultan Muhammad Syafiuddin Sambas. Jurnal Alwatzikhoebillah : Kajian Islam, Pendidikan, Ekonomi, Humaniora, 8(2), 193–203. https://doi.org/10.37567/alwatzikhoebillah.v8i2.1523
Oktafia, M., Putra, A., & Habibi, M. (2020). The Analysis of Students’ Error in Operation Reseach Test for Linear Program Topic Based on Newman’s Error Analysis (NEA). Edumatika : Jurnal Riset Pendidikan Matematika, 3(2), 103. https://doi.org/10.32939/ejrpm.v3i2.591
Palwa, N., Inayah, S., Septian, A., & Larsari, V. N. (2024). Analysis of Students’ Mathematical Creative Thinking Ability in Solving Open-Ended Questions Based on Their Self-Concept. International Journal of Mathematics and Mathematics Education, 60–73. https://doi.org/10.56855/ijmme.v2i1.965
Panjaitan, R. L., & Irawati, R. (2018). ANALISIS KESALAHAN PENYELESAIAN SOAL KONVERSI SATUAN PADA MAHASISWA PENDIDIKAN GURU SEKOLAH DASAR DENGAN NEWMAN’S ERROR ANALYSIS. PROSIDING SEMINAR NASIONAL FISIKA (E-JOURNAL) SNF2018 UNJ, SNF2018-PE-23-SNF2018-PE-28. https://doi.org/10.21009/03.SNF2018.01.PE.04
Pungkasari, A. M., & Purwosetiyono, F. D. (2020). KEMAMPUAN SPASIAL PERCEPTION DALAM MENYELESAIKAN MASALAH GEOMETRI BERDASARKAN TEORI VAN HIELE DITINJAU DARI KEMAMPUAN MATEMATIKA. Prismatika: Jurnal Pendidikan Dan Riset Matematika, 3(1), 75–86. https://doi.org/10.33503/prismatika.v3i1.1123
Putri, A. A., Priatna, N., & Kusnandi, K. (2023). ANALISIS KESALAHAN SISWA KELAS VIII DALAM MENYELESAIKAN SOAL MATEMATIKA DITINJAU DARI TINGKAT KEMAMPUAN MATEMATIS. JP2M (Jurnal Pendidikan Dan Pembelajaran Matematika), 9(2), 172–179. https://doi.org/10.29100/jp2m.v9i2.4688
Putri, M., & Andriani, P. (2023). Perbedaan gender dalam pembelajaran matematika: studi kesalahan pemecahan masalah berdasarkan Newmann Error Analysis. Journal of Math Tadris, 3(1), 16–26. https://doi.org/10.55099/jurmat.v3i1.71
Putri, R. I. S., & Hastari, R. C. (2022). Analysis of Student Errors in Solving HOTS-Type Sequence and Series Problems Based on Newman Error Analysis. AlphaMath : Journal of Mathematics Education, 8(2), 143. https://doi.org/10.30595/alphamath.v8i2.14837
Raghubar, K., Cirino, P., Barnes, M., Ewing-Cobbs, L., Fletcher, J., & Fuchs, L. (2009). Errors in multi-digit arithmetic and behavioral inattention in children with math difficulties. Journal of Learning Disabilities, 42(4), 356–371. https://doi.org/10.1177/0022219409335211
Reichenbach, M. S., Agarwal, A., & Zanibbi, R. (2014). Rendering expressions to improve accuracy of relevance assessment for math search. Proceedings of the 37th International ACM SIGIR Conference on Research & Development in Information Retrieval, 851–854. https://doi.org/10.1145/2600428.2609457
Seman, C. N. Z. C., Zakaria, Z., Sharifudin, M. A., Ahmad, A. C., Awang, M. S., Yusof, N. bin M., & Buyong, Z. binti. (2018). Model of a critical size defect in the New Zealand white rabbit’s tibia. International Medical Journal Malaysia, 17(1), 13–18. https://doi.org/10.31436/imjm.v17i1.305
Takaendengan, B. R., Anwar, A., Takaendengan, W., & Kobandaha, P. E. (2022). Identifikasi Kesalahan Jawaban Mahasiswa pada Mata Kuliah Analisis Real Berdasarkan Newmann’s Error Analysis. Euler : Jurnal Ilmiah Matematika, Sains Dan Teknologi, 10(2), 235–243. https://doi.org/10.34312/euler.v10i2.16777
Umaroh, L. (2021). Different Approach and Method in Teaching English During Covid-19 Pandemic. ETERNAL (English Teaching Journal), 12(1), 70–77. https://doi.org/10.26877/eternal.v12i1.8304
Uttal, D. H., Meadow, N. G., Tipton, E., Hand, L. L., Alden, A. R., Warren, C., & Newcombe, N. S. (2013). The malleability of spatial skills: A meta-analysis of training studies. Psychological Bulletin, 139(2), 352–402. https://doi.org/10.1037/a0028446
Voyer, D. (2011). PERFORMANCE IN MATHEMATICAL PROBLEM SOLVING AS A FUNCTION OF COMPREHENSION AND ARITHMETIC SKILLS. International Journal of Science and Mathematics Education, 9(5), 1073–1092. https://doi.org/10.1007/s10763-010-9239-y