Analysis of Student Errors in Solving Mathematics Problems on Trigonometry Materials Based on Newman's Analysis
Authors/Creators
- 1. Department of Mathematics Education, Faculty of Tarbiyah and Teacher Training (FTIK), State Islamic University of Syekh Ali Hasan Ahmad Addary Padangsidimpuan, Padangsidimpuan, North Sumatra, Indonesia
- 2. Delft University of Technology, Delft, Zuid-Holland, Netherlands (NL)
Description
This research aims to determine the percentage of errors in solving trigonometry problems based on Newman's Error Analysis and to identify the most common errors made by students. The types of errors analyzed include (1) reading errors, (2) comprehension errors, (3) transformation errors, (4) process skill errors, and (5) encoding errors. This study uses a descriptive research method. Data was collected through a written test, and data analysis was conducted using the Miles and Huberman model. The subjects were grade XI-MIPA students at SMA Negeri 2 Padangsidimpuan, North Sumatra, Indonesia, during the odd semester from July to December of the 2025/2026 academic year. The results show the following error percentages: reading errors at 5%, comprehension errors at 55.4%, transformation errors at 64.6%, process skill errors at 65%, and encoding errors at 80.9%. The most prevalent error among students was in encoding the final answer, with a rate of 80.9%. This indicates that while students could often understand and begin transforming the problem, a significant majority struggled with correctly and completely writing the final solution. The findings suggest that instructional focus should be intensified on the final stages of problem-solving, particularly on systematic calculation, verification, and proper presentation of answers.
Files
Analysis of Student Errors in Solving Mathematics Problems on Trigonometry Materials Based on Newman's Analysis.pdf
Files
(980.6 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:6861ed692243fc6a6231783df76fa278
|
980.6 kB | Preview Download |
Additional details
Identifiers
- Other
- Identifier
Related works
- Cites
- Journal article: Identifier (Other)
Dates
- Collected
-
2026-01-04This research aims to determine the percentage of errors in solving trigonometry problems based on Newman's Error Analysis and to identify the most common errors made by students. The types of errors analyzed include (1) reading errors, (2) comprehension errors, (3) transformation errors, (4) process skill errors, and (5) encoding errors. This study uses a descriptive research method. Data was collected through a written test, and data analysis was conducted using the Miles and Huberman model. The subjects were grade XI-MIPA students at SMA Negeri 2 Padangsidimpuan, North Sumatra, Indonesia, during the odd semester from July to December of the 2025/2026 academic year. The results show the following error percentages: reading errors at 5%, comprehension errors at 55.4%, transformation errors at 64.6%, process skill errors at 65%, and encoding errors at 80.9%. The most prevalent error among students was in encoding the final answer, with a rate of 80.9%. This indicates that while students could often understand and begin transforming the problem, a significant majority struggled with correctly and completely writing the final solution. The findings suggest that instructional focus should be intensified on the final stages of problem-solving, particularly on systematic calculation, verification, and proper presentation of answers.
References
- Arikunto, S. (2013). Prosedur penelitian: Suatu pendekatan praktik [Research procedures: A practical approach]. Rineka Cipta. Aprillia, N. (2025). Pengembangan E-LKPD Menggunakan Liveworksheet pada Pembelajaran IPAS Materi Perubahan Bentuk Enegi Kelas IV Sekolah Dasar (Doctoral dissertation, Universitas Jambi). Ashlock, R. B. (2013). Error patterns in computation: Using error patterns to improve instruction (10th ed.). Pearson. Avana, N., Nerita, S., Rurisman, R., Gistituati, N., & Rusdinal, R. (2024). Analisis kebijakan pendidikan terkait implementasi pendidikan vokasi dan pelatihan vokasi. Naturalistic: Jurnal Kajian dan Penelitian Pendidikan dan Pembelajaran, 8(2), 322-338. Bingolbali, E., & Monaghan, J. (2008). Concept image revisited. Educational Studies in Mathematics, 68(1), 19–35. https://doi.org/10.1007/s10649-007-9112-2 Brown, J., Skow, K., & the IRIS Center. (2016). Mathematics: Identifying and addressing student errors. Vanderbilt University. https://iris.peabody.vanderbilt.edu/module/math-error/ Clements, M. A. (1980). Analyzing children's errors on written mathematical tasks. Educational Studies in Mathematics, 11(1), 1–21. https://doi.org/10.1007/BF00369157 Eliza, F., Gistiati, N., Rusdinal, R., Ananda, A., Sardi, J., Habibullah, H., & Fadli, R. (2024). Comparative analysis of mobile learning in various countries: Literature study on five continents. Advances in Mobile Learning Educational Research, 4(2), 1114-1121. Ernawati. (2014). Analisis kesalahan dalam menyelesaikan permasalahan luas dan volume bangun ruang siswa kelas VIII SMP Piri Ngaglik [Error analysis in solving surface area and volume problems of geometric shapes by eighth-grade students of SMP Piri Ngaglik] [Undergraduate thesis]. Universitas Sarjanawiyata Tamansiswa. Ernawati. (2014). Analisis kesalahan dalam menyelesaikan permasalahan luas dan volume bangun ruang siswa kelas VIII SMP Piri Ngaglik [Error analysis in solving surface area and volume problems of geometric shapes by eighth-grade students of SMP Piri Ngaglik] [Undergraduate thesis]. Universitas Sarjanawiyata Tamansiswa. Fauzan, A. (2002). Applying Realistic Mathematics Education (RME) in teaching geometry in Indonesian primary schools. Fauzan, A., & Yerizon, Y. (2013). Pengaruh pendekatan RME dan kemandirian belajar terhadap kemamampuan matematis siswa. Prosiding SEMIRATA 2013, 1(1). Fauzan, A., Harisman, Y., Yerizon, Y., Suherman, S., Tasman, F., Nisa, S., ... & Syaputra, H. (2024). Realistic mathematics education (RME) to improve literacy and numeracy skills of elementary school students based on teachers' experience. Infinity Journal, 13(2), 301-316. Fauzan, A., Plomp, T., & Gravemeijer, K. P. E. (2013). The development of an RME-based geometrycourse for Indonesian primary schools. In Educational design research-Part B. Illustrative cases (pp. 159-178). SLO: Netherlands institute for curriculum development. Hadi, S., & Kasim, M. (2017). The analysis of trigonometry learning difficulties based on Newman's Error Analysis (NEA). Journal of Physics: Conference Series, 812(1), 012103. IOP Publishing. https://doi.org/10.1088/1742-6596/812/1/012103 Handayani, M. (2025). Peran guru akidah akhlak dalam membina karakter siswa kelas VIII di MTs Pondok Pesantren Purba Ganal Sosopan (Undergraduate thesis, Program Studi Pendidikan Agama Islam, Fakultas Tarbiyah dan Ilmu Keguruan, UIN Syekh Ali Hasan Ahmad Addary Padangsidimpuan). UIN Syahada Institutional Repository. http://etd.uinsyahada.ac.id/id/eprint/12961 Harahap, A. N., Bentri, A., Musdi, E., Yerizon, Y., & Armiati, A. (2024). Analysis of students' critical thinking skills in solving mathematics problems in terms of students' initial ability. Indonesian Journal of Science and Mathematics Education, 7(1), 39-52. Hartati, N. S., Thahir, A., & Fauzan, A. (2020). Manajemen program penguatan pendidikan karakter melalui pembelajaran daring dan luring di masa pandemi covid 19-new normal. El-Idare: Jurnal Manajemen Pendidikan Islam, 6(2), 97-116. Hasnan, S. M., Rusdinal, R., & Fitria, Y. (2020). Pengaruh penggunaan model discovery learning dan motivasi terhadap kemampuan berpikir kritis peserta didik sekolah dasar. Jurnal Basicedu, 4(2), 239-249. Hazizah, N., Rusdinal, R., Ismaniar, I., Handrianto, C., & Rahman, M. A. (2024). Warrior Kids games on improving the self-efficacy abilities and fine motor skills of 5–6 years-old children. Retos, 56, 639-647. Hidayah, I. R., Sa'dijah, C., Anwar, L., Yerizon, Y., & Arnawa, I. M. (2025). Empowering students' numeracy skills: Mathematics teachers' perceptions regarding the effectiveness and challenges of Indonesian national curriculum and the programs–A mixed method study. Infinity Journal, 14(1), 163-188. Junindra, A., Nasti, B., Rusdinal, R., & Gistituati, N. G. (2022). Manajemen berbasis sekolah (mbs) dalam meningkatkan mutu pendidikan di sekolah dasar. Jurnal Cerdas Proklamator, 10(1), 88-94. Juwita, R., Firman, F., Rusdinal, R., & Aliman, M. (2020). Meta Analisis: Perkembangan teori struktural fungsional dalam sosiologi pendidikan. Jurnal Perspektif, 3(1), 1-8. Karmedi, M. I., Firman, F., & Rusdinal, R. (2021). Pendidikan Karakter dalam Pembelajaran Sejarah Selama Pandemi Covid-19. Journal of Education Research, 2(1), 44-46. Lusiana, L., Armiati, A., & Yerizon, Y. (2022). Kemandirian Belajar dan Persepsi Siswa Mengenai Guru Terhadap Kemampuan Pemecahan Masalah Matematis Siswa SMK. Mosharafa: Jurnal Pendidikan Matematika, 11(1), 155-166. Marsigit. (2009). Matematika SMP kelas VIII [Mathematics for junior high school grade VIII]. Yudhistira. Marsigit. (2009). Matematika SMP kelas VIII [Mathematics for junior high school grade VIII]. Yudhistira. Misrom, N. B., Muhammad, A., Abdullah, A., Osman, S., Hamzah, M., & Fauzan, A. (2020). Enhancing students' higher-order thinking skills (HOTS) through an inductive reasoning strategy using geogebra. International Journal of Emerging Technologies in Learning (iJET), 15(3), 156-179. Mufit, F., & Fauzan, A. (2023). The Effect of Cognitive Conflict-Based Learning (CCBL) Model on Remediation of Misconceptions. Journal of Turkish Science Education, 20(1), 26-49. Newman, M. A. (1977). An analysis of sixth-grade pupils' errors on written mathematical tasks. Victorian Institute for Educational Research Bulletin, 39, 31–43. Nicol, C. (1999). Learning to teach mathematics: Questioning, listening, and responding. Educational Studies in Mathematics, 37(1), 45–66. https://doi.org/10.1023/A:1003595719715 Novera, E., Daharnis, D., Erita, Y., & Fauzan, A. (2021). Efektivitas model pembelajaran kooperatif tipe course review horay dalam peningkatan aktivitas dan hasil belajar matematika siswa sekolah dasar. Jurnal basicedu, 5(6), 6349-6356. Nurhadiyati, A., Rusdinal, R., & Fitria, Y. (2020). Pengaruh model project based learning (pjbl) terhadap hasil belajar siswa di sekolah dasar. Jurnal Basicedu, 5(1), 327-333. Nurhamidah, A. (2025). Pengembangan media kartu domino berbasis ESD untuk meningkatkan kemampuan pemecahan masalah matematika siswa sekolah dasar menggunakan model ADDIE (Skripsi sarjana, Program Studi Pendidikan Guru Sekolah Dasar, Fakultas Ilmu Pendidikan dan Humaniora, Universitas Pelita Bangsa). Repository Universitas Pelita Bangsa. https://repository.pelitabangsa.ac.id/id/eprint/14340 Pengembangan Media Pembelajaran Quiz Matematika Interaktif Berbasis Web Untuk Meningkatkan Kemampuan Pemecahan Masalah Siswa Kelas X SMA Negeri 1 Sinunukan. (2025). Jurnal Teknologi Pendidikan Dan Desain Media Pembelajaran, 1(1), 9-16. https://ejournalajipati.or.id/index.php/Jtpdmp/article/view/20 Putri, Y. U., Musdi, E., Permana, D., & Yerizon, Y. (2020). Efektivitas perangkat pembelajaran matematika berbasis pendekatan contextual teaching and learning terhadap kemampuan komunikasi matematis. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(1), 205-212. Riski, H., Rusdinal, R., & Gistituti, N. (2021). Kepemimpinan kepala sekolah di sekolah menengah pertama. Edukatif: Jurnal Ilmu Pendidikan, 3(6), 3531-3537. Rokhimah, S. (2015). Analisis kesalahan siswa dalam menyelesaikan soal cerita matematika materi aritmatika sosial kelas VII berdasarkan prosedur Newman [Analysis of student errors in solving word problems on social arithmetic for grade VII based on Newman's procedure]. Jurnal Online UM. https://www.jurnal-online.um.ac.id Rokhimah, S. (2015). Analisis kesalahan siswa dalam menyelesaikan soal cerita matematika materi aritmatika sosial kelas VII berdasarkan prosedur Newman [Analysis of student errors in solving word problems on social arithmetic for grade VII based on Newman's procedure]. Jurnal Online UM. https://www.jurnal-online.um.ac.id Schoenfeld, A. H. (1985). Mathematical problem solving. Academic Press. Siregar, T. (2025). Classroom Action Research-Based Learning Innovations: Kemmis and McTaggart Models. Preprints. https://doi.org/10.20944/preprints202510.1440.v1 Siregar, T. (2025). Developing a GeoGebra-Based Mathematics Learning Media Using the Van Hiele Theory Approach to Enhance Students' Understanding of Maximum and Minimum Value. Preprints. https://doi.org/10.20944/preprints202511.0033.v1 Siregar, T. (2025). Examining the Dimensions of Mathematical Knowledge for Teaching among Preservice Elementary Teachers. Preprints. https://doi.org/10.20944/preprints202510.1765.v1 Siregar, T. (2025). Exploring Integral Calculus to Determine Volumes of Solids Generated by Rotating Simple Curves Using GeoGebra. Preprints. https://doi.org/10.20944/preprints202511.0191.v1 Siregar, T. (2025). Practicality and Effectiveness of Online-Based Calculus Learning Materials Assisted by GeoGebra. Preprints. https://doi.org/10.20944/preprints202511.0023.v1 Siregar, T. (2025). Tensions Between Perceptions and Practices Among Teacher Educators in Implementing Intellectual Virtues Pedagogy. Preprints. https://doi.org/10.20944/preprints202510.2428.v1 Siregar, T. (2025). The Effectiveness of Using GeoGebra Application with Problem-Based Learning Model on Students' Mathematical Communication Ability. Preprints. https://doi.org/10.20944/preprints202511.0106.v1 Siregar, T. (2025). The Influence of Learning Interest and Creativity on Mathematics Achievement Among Students in Calculus Courses. Preprints. https://doi.org/10.20944/preprints202511.0061.v1 Siregar, A. H. (2025). Hubungan literasi numerik dan motivasi belajar dengan pemahaman konsep matematika siswa (Undergraduate thesis, Program Studi Tadris Matematika, Fakultas Tarbiyah dan Ilmu Keguruan, UIN Syekh Ali Hasan Ahmad Addary Padangsidimpuan). UIN Syahada Institutional Repository. http://etd.uinsyahada.ac.id/id/eprint/12916 Siregar, T. (2023). A Penerapan Model Pembelajaran Problem-Based Learning Untuk Meningkatkan Prestasi Belajar Matematika Siswa Di SMA Negeri 1 Sinunukan. COMPETITIVE: Journal of Education, 2(2), 94–102. https://doi.org/10.58355/competitive.v2i2.9 Siregar, T. (2023). Stages of research and development model research and development (R&D). DIROSAT: Journal of Education, Social Sciences & Humanities, 1(4), 142-158. Siregar, T. (2025). Analysis of mathematical literacy skills through the Think-Talk-Write (TTW) model assisted by GeoGebra in terms of students' self-efficacy. Siregar, T. (2025). Android-based ethnomathematics learning media development: A systematic literature review. Unpublished manuscript. Siregar, T. (2025). Effectiveness of the Problem-Based Learning Model in Improving Students' Mathematical Communication Skills and Learning Motivation. Siregar, T. (2025). Integrating GeoGebra in mathematics education: Enhancing pedagogical practices among teachers and lecturers. Yerizon, Integrating GeoGebra in Mathematics Education: Enhancing Pedagogical Practices among Teachers and Lecturers (October 16, 2025). Siregar, T. (2025). Literature review: The use of GeoGebra software on mathematical comprehension ability. Preprint. https://doi.org/10.20944/preprints202510,925,v1. Siregar, T. (2025). STEAM integration and mathematical problem solving: A meta-analysis of student learning outcomes in Indonesia. Preprint. https://doi.org/10.20944/preprints202510,1219,v1. Siregar, T. (2025). THE EFFECT OF THE USE OF THE ANCHORED INSTRUCTION LEARNING MODEL ON THE IMPROVEMENT OF STUDENTS'MATHEMATICAL COMMUNICATION SKILLS AND SELF-CONCEPT. Journal Of Mathematics Education, 2(4), 1-20. Siregar, T. . (2024). Aplikasi Model Pembelajaran Inkuiri untuk Meningkatkan Kemampuan Berpikir Kreatif Mahasiswa dalam Belajar Matematika. Indonesian Research Journal on Education, 4(1), 82 –. https://doi.org/10.31004/irje.v4i1.425 Siregar, T. . (2024). Penerapan Model Pembelajaran Think Pair Share untuk Meningkatkan Keterampilan Membaca Teks Recount di Kelas X-1 SMAN 1 Padangsidimpuan. Indonesian Research Journal on Education, 4(1), 118 –. https://doi.org/10.31004/irje.v4i1.426 Siregar, T., & Rhamayanti, Y. (2025). Implementasi pengembangan model ADDIE pada dunia pendidikan. Jurnal Hasil Penelitian dan Pengembangan (JHPP), 3(2), 85-100. Siregar, T., Ardian, R., Harahap, S. R., & Nasution, A. A. (2023). MEDIA PEMBELAJARAN BERBASIS ICT MENGGUNAKAN SOFTWARE SCRATCHPADA MATERI PELUANG DI SMPN 2 PORTIBI. SINERGI : Jurnal Riset Ilmiah, 1(1), 6-14. https://doi.org/10.62335/b6a7cf11 Siregar, T., Fauzan, A., Yerizon, Y., & Syafriandi, S. (2025). Designing Mathematics Teaching through Deep Learning Pedagogy: Toward Meaningful, Mindful, and Joyful Learning. Journal of Deep Learning, 188-202. Siregar, T., Fauzan, A., Yerizon, Y., & Syafriandi, S. (2025). Designing Mathematics Teaching through Deep Learning Pedagogy: Toward Meaningful, Mindful, and Joyful Learning. Journal of Deep Learning, 188-202. Siregar, T., Sarumpaet, R., & Oktavia, D. (2025). Effectiveness of cooperative learning models (numbered heads together and student teams achievement divisions) on fourth-grade students' mathematics achievement based on achievement motivation. Unpublished manuscript. Siregar, T., Van Keulen, H., & Guo, J. (2025). A Literature Review on Ethnopedagogy and Ethnomathematics Approaches: Integrating Nusantara Cultural Context into Mathematics Learning. figshare. Journal contribution. https://doi.org/10.6084/m9.figshare,30847067,v1. Siregar, Torang and , Rusdinal and , Rusdinal and , Yerizon and Fauzan, Ahmad, An Overview of Problem-Based Learning: Its Process and Impact on Learning (November 08, 2025). Available at SSRN: https://ssrn.com/abstract=5722383 Siregar, Torang and , Rusdinal and , Yerizon and Fauzan, Ahmad, Effectiveness of Problem-Based Learning versus Conventional Instruction: A Meta-Synthesis of Meta-Analyses (November 08, 2025). Available at SSRN: https://ssrn.com/abstract=5722422 Siregar, Torang and , Rusdinal and , Yerizon and Fauzan, Ahmad, Improvement of Mathematics Learning Outcomes through the Implementation of the Realistic Mathematics Education (RME) Approach in Primary Schools (November 17, 2025). Available at SSRN: https://ssrn.com/abstract=5756982 Siregar, Torang and , Rusdinal and Yerizon, Yerizon and Fauzan, Ahmad, Analysis of Senior High School Students' Difficulties in Statistics Material (November 10, 2025). Available at SSRN: https://ssrn.com/abstract=5732246 Siregar, Torang and , Rusdinal and Yerizon, Yerizon and Fauzan, Ahmad, The Role of Mathematical Prior Ability and Students' Perceptions of Statistics on their Statistics Learning Achievement (November 10, 2025). Available at SSRN: https://ssrn.com/abstract=5732266 Siregar, Torang and Yerizon, Yerizon, Balancing Higher-and Lower-Order Thinking Skills: An Analysis of Lecturers' Pedagogical Practices in Higher Education (October 11, 2025). Available at SSRN: https://ssrn.com/abstract=5590290 Siregar, Torang, Application of the STAD (Student Teams Achievement Divisions) Learning Model in Improving Mathematics Learning Activities and Achievements (September 14, 2025). Available at SSRN: https://ssrn.com/abstract=5484426 or http://dx.doi.org/10.2139/ssrn.5484426 Siregar, Torang, Comparison of the Effectiveness of Cooperative Learning and Problem-Based Learning on Students' Understanding of Mathematics Concepts (November 09, 2025). Available at SSRN: https://ssrn.com/abstract=5726784 or http://dx.doi.org/10.2139/ssrn.5726784 Siregar, Torang, Development of Artificial Intelligence (AI)-Based Mathematics Learning Media in Calculus Courses Using the GeoGebra Application with the PjBL Learning Model (October 08, 2025). Available at SSRN: https://ssrn.com/abstract=5577752 or http://dx.doi.org/10.2139/ssrn.5577752 Siregar, Torang, Development of GeoGebra-Assisted E-Module in Multiple Integral Calculus Course (November 15, 2025). Available at SSRN: https://ssrn.com/abstract=5752722 or http://dx.doi.org/10.2139/ssrn.5752722 Siregar, Torang, STEM-Based Implementation of GeoGebra in Pre-Service Mathematics Teacher Education (November 09, 2025). Available at SSRN: https://ssrn.com/abstract=5726805 or http://dx.doi.org/10.2139/ssrn.5726805 Siregar, Torang, Strategy to Enhance Early Mathematics Learning in Early Childhood Education (PAUD) (November 15, 2025). Available at SSRN: https://ssrn.com/abstract=5752743 or http://dx.doi.org/10.2139/ssrn.5752743 Siregar, Torang, The Effects of GeoGebra on Students Achievement (October 08, 2025). Available at SSRN: https://ssrn.com/abstract=5577731 or http://dx.doi.org/10.2139/ssrn.5577731 Siregar, Torang, Virtual Reality (VR) Based Learning Media as a Support of Mathematics Learning Process for Students in Schools (October 08, 2025). Available at SSRN: https://ssrn.com/abstract=5577735 or http://dx.doi.org/10.2139/ssrn.5577735 Siregar, Torang. "Application of Problem Based Learning to Improve Student Motivation and Learning Outcomes on Vector Material." Cigarskruie: Journal of Educational and Islamic Research, vol. 1, no. 2, Mar. 2024, pp. 99-130, doi:10.65190/636423. Sugiyono. (2013). Metode penelitian pendidikan: Pendekatan kuantitatif dan kualitatif, dan R&D [Educational research methods: Quantitative, qualitative, and R&D approaches]. Alfabeta. Sugiyono. (2013). Metode penelitian pendidikan: Pendekatan kuantitatif dan kualitatif, dan R&D [Educational research methods: Quantitative, qualitative, and R&D approaches]. Alfabeta. 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. https://doi.org/10.1007/BF00305619 Torang Siregar, Marsigit, Atmini, R Rosnawati, & Karyati. (2024). UPAYA MEREDUKSI PERILAKU BULLYING MELALUI BIMBINGAN KELOMPOK DENGAN TEKNIK ROLE PLAYING PADA SISWA MTS NEGERI 1 PADANGSIDIMPUAN. Jurnal Pendekar Nusantara, 1(3). https://doi.org/10.37776/pend.v1i3.1349 Torang Siregar. (2025). Android-Based Ethnomathematics Learning Media Development: A Systematic Literature Review (Version V1). Zenodo. https://doi.org/10.5281/zenodo.18037780 Wahyuni, Y., Fauzan, A., Yerizon, Y., & Musdi, E. (2022). Analisis literasi digital mahasiswa dalam pembelajaran matematika berbasis geogebra. Jurnal Cendekia: Jurnal Pendidikan Matematika, 6(3), 3358-3371. Wanelly, W., & Fauzan, A. (2020). Pengaruh pendekatan open ended dan gaya belajar siswa terhadap kemampuan berpikir kreatif matematis. Jurnal Basicedu, 4(3), 523-533. White, A. L. (2009). A revaluation of Newman's error analysis. Mathematics Association of Victoria. https://www.mav.vic.edu.au/files/conferences/2009/08White.pdf White, A. L. (2009). A revaluation of Newman's error analysis. Mathematics Association of Victoria. https://www.mav.vic.edu.au/files/conferences/2009/08White.pdf Widodo, S. A. (2013). Analisis kesalahan dalam pemecahan masalah divergensi tipe pembuktian pada mahasiswa matematika [Error analysis in solving divergent proof-type problems among mathematics students]. Jurnal Pendidikan dan Pengajaran, 46(2), 106–113. Widodo, S. A. (2013). Analisis kesalahan dalam pemecahan masalah divergensi tipe pembuktian pada mahasiswa matematika [Error analysis in solving divergent proof-type problems among mathematics students]. Jurnal Pendidikan dan Pengajaran, 46(2), 106–113. Yerizon, Y., Wahyuni, P., & Fauzan, A. (2021). Pengaruh problem based learning terhadap kemampuan pemecahan masalah matematis ditinjau dari gender dan level sekolah. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(1), 105-116. Yustianingsih, R., Syarifuddin, H., & Yerizon, Y. (2017). Pengembangan perangkat pembelajaran matematika berbasis problem based learning (PBL) untuk meningkatkan kemampuan pemecahan masalah peserta didik kelas VIII. JNPM (Jurnal Nasional Pendidikan Matematika), 1(2), 258-274.