DIAGNOSTIC PROFILE OF ELEMENTARY SCHOOL STUDENTS’ MATHEMATICAL CREATIVE THINKING IN PROBLEM SOLVING THROUGH NEWMAN ERROR ANALYSIS
DOI:
https://doi.org/10.36526/sosioedukasi.v15i3.9564Keywords:
Mathematical Creative Thinking, Fluency, Flexibility, Novelty, Newman Error Analysis, Problem Solving, Diagnostic AssessmentAbstract
Mathematical creative thinking is essential for problem solving because it enables students to generate multiple solutions, apply diverse strategies, and develop relatively novel approaches. However, classifying students’ creative-thinking levels does not indicate where difficulties occur during problem solving. This study aimed to describe the diagnostic profile of elementary school students’ mathematical creative thinking in problem solving through Newman Error Analysis (NEA). A qualitative multiple-case study was conducted with 29 sixth-grade students at St. Clara Catholic Elementary School in Tomohon. Students completed an open-ended problem-solving task assessing fluency, flexibility, and novelty and were classified into MCTL levels 0–4. One student representing each MCTL level was purposively selected for semi-structured interviews based on the five NEA stages: reading, comprehension, transformation, process skills, and encoding. The findings showed that MCTL 2 was the most prevalent level (34.5%). Students at lower MCTL levels tended to experience difficulties in comprehension and transformation, whereas those at higher levels generally understood and transformed problems appropriately but still experienced procedural and encoding errors. Transformation emerged as an important intersection between mathematical creative thinking, particularly flexibility and novelty, and problem-solving difficulties. Integrating MCTL and NEA provides a more informative diagnostic profile for designing adaptive scaffolding based on students’ creative-thinking characteristics and problem-solving needs.
References
Delafia Maghfiroh, D., & Wahyuningsih, R. (2024). Elementary School Students’ Ability to Solve Mathematical Story Problems. JENIUS (Journal of Education Policy and Elementary Education Issues), 5(2), 106–120. https://doi.org/10.22515/jenius.v5i2.9372
Elgrably, H., & Leikin, R. (2021). Creativity as a function of problem-solving expertise: posing new problems through investigations. ZDM – Mathematics Education, 53(4), 891–904. https://doi.org/10.1007/s11858-021-01228-3
Elmawati, E., Maimunah, M., Andriani, S., & Teapon, N. (2026). Analysis of Students’ Errors in Solving Multivariable Calculus Optimization Problems Using Newman’s Error Analysis. Jurnal Pustaka Cendekia Pendidikan, 4(1), 1137–1151. https://doi.org/10.70292/jpcp.v4i1.484
Fatawu, I. A., Alhassan, M. N., & Darko, I. O.-. (2023). Analysis of Senior High School Student’s Errors in Solving Word Problems Using Newman’s Error Analysis (NEA) Procedure. INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 11(08). https://doi.org/10.47191/ijmcr/v11i8.09
Firdaus, A., Subanji, S., & Hafiizh, M. (2026). An Analysis of Grade XI Students’ Errors in Solving Statistical Problems Based on Newman Error Analysis (NEA) Theory. PRISMA, 15(1), 34–47. https://doi.org/10.35194/jp.v15i1.5845
Jupri, A., & Drijvers, P. (2016). Student difficulties in mathematizing word problems in Algebra. Eurasia Journal of Mathematics, Science and Technology Education, 12(9). https://doi.org/10.12973/eurasia.2016.1299a
Kartono, K., & Suciawati, V. (2025). Mapping Newman’s Error Analysis to Mathematical Creative Thinking: A Diagnostic Tool for Identifying Cognitive Disruptions. Jurnal Pendidikan MIPA, 26(4), 2651–2676. https://doi.org/10.23960/jpmipa.v26i4.pp2651-2676
Lien Malinda, Sufyani Prabawanto, & Rusdiono Muryanto. (2026). Analysis of Students’ Errors in Solving Addition and Subtraction Problems Using The Newman Technique. Jurnal Cakrawala Pendas, 12(2), 276–288. https://doi.org/10.31949/jcp.v12i2.17720
Mayer, R. E., & Hegarty, M. (2012). The Process of Understanding Mathematical Problems. In The Nature of Mathematical Thinking (pp. 45–70). Routledge. https://doi.org/10.4324/9780203053270-9
Ndolu, Sumardi W. (2021). Pengembangan instrumen asesmen berpikir kreatif matematika siswa sekolah dasar berdasar kearifan lokal Pulau Rote / Sumardi W. Ndolu (Tesis (Pascasarjana)-Universitas Negeri Malang. 2021): Universitas Negeri Malang. Program Studi Pendidikan Dasar
Ndolu, S. W., & Lalang, A. R. (2023). Studi Literatur: Penilaian Pembelajaran Matematika yang Mendukung Kemampuan Berpikir Kreatif. Journal of Character and Elementary Education, 1(2). https://doi.org/10.35508/jocee.v1i2.10015
Newman, A. M. (1977). An analysis of sixth grade pupils’ errors on written mathematical tasks. Research in Mathematics Education in Australia, 1.
Niluh Lisa Arianti, Waode Ekadayanti, & Ashari Usman. (2025). An Analysis of Fifth-Grade Students’ Difficulties In Solving Fraction Problems Based On Newman’s Error Analysis. Journal of Education and Learning Sciences, 5(2), 382–402. https://doi.org/10.56404/jels.v5i2.434
Ramadhani, S., Ismaimuza, D., Sukayasa, S., & Meinarni, W. (2024). Analysis of Students’ Errors in Solving Story Problems Based on Newman’s Error Analysis (NEA) on the Subject Matter of Linear Program in View of Students’ Mathematical Ability. Prisma Sains: Jurnal Pengkajian Ilmu Dan Pembelajaran Matematika Dan IPA IKIP Mataram, 12(1), 110. https://doi.org/10.33394/j-ps.v12i1.10310
Rashid, Y., Rashid, A., Warraich, M. A., Sabir, S. S., & Waseem, A. (2019). Case Study Method: A Step-by-Step Guide for Business Researchers. International Journal of Qualitative Methods, 18. https://doi.org/10.1177/1609406919862424
Sa’dijah, C., Handayani, U. F., Sisworo, Sudirman, Susiswo, Cahyowati, E. T. D., & Sa’diyah, M. (2019). The Profile of Junior High School Students’ Mathematical Creative Thinking Skills in Solving Problem through Contextual Teaching. Journal of Physics: Conference Series. https://doi.org/10.1088/1742-6596/1397/1/012081
Schoevers, E. M., Kroesbergen, E. H., & Kattou, M. (2020). Mathematical Creativity: A Combination of Domain-general Creative and Domain-specific Mathematical Skills. Journal of Creative Behavior, 54(2). https://doi.org/10.1002/jocb.361
Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. Zentralblatt Für Didaktik Der Mathematik, 29(3), 75–80. https://doi.org/10.1007/s11858-997-0003-x
Siswono, T. Y. E. (2011). Level of Student’s Creative Thinking i Classroom Maathematics. Educational Research Review, 6(7), 548–553.
Utami, W. B., Dewi, A. P., & Widodo, S. A. (2024). Students’ Errors in Problem-Solving Reviewed from The Perspective of Math Resilience. JOHME: Journal of Holistic Mathematics Education, 8(1), 59. https://doi.org/10.19166/johme.v8i1.8230
Wang, H., & Star, J. R. (2023). Investigating algorithm-oriented flexibility and structure-informed flexibility in mathematics learning. Asian Journal for Mathematics Education, 2(1), 16–41. https://doi.org/10.1177/27527263231163593





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