Analysis of the Pseudo-Thinking Process of Field-Dependent 8th-Grade Students at SMP Negeri 2 Palu in Solving Pythagorean Theorem Problems
Abstract
The occurrence of pseudo-thinking processes in mathematics learning remains prevalent, as many students solve problems by relying on memorized procedures rather than understanding the underlying concepts. While previous research has largely focused on error analysis or general problem-solving abilities, studies specifically examining pseudo-thinking processes among field-dependent students when solving Pythagorean theorem problems remain limited. This study aims to analyze the pseudo-thinking processes of eighth-grade students at SMP Negeri 2 Palu specifically those with a field-dependent cognitive style while solving Pythagorean theorem problems, by examining the relationship between cognitive style characteristics and pseudo-thinking processes. A descriptive qualitative approach was employed. Data were collected from a single student, purposively selected to represent the field-dependent cognitive style, using the Group Embedded Figures Test (GEFT), a Pythagorean theorem problem-solving test, and semi-structured interviews. Data analysis followed the interactive model proposed by Miles, Huberman, and Saldaña, comprising data condensation, data display, and conclusion drawing/verification. The results indicate that the field-dependent student exhibited "correct pseudo-thinking" during the planning and execution stages of the solution. This was characterized by the use of procedures based on prior learning experiences and provided examples, lacking support from deep conceptual understanding. However, during the review stage, the subject was able to verify the solution, meaning the characteristics of pseudo-thinking were no longer present. These findings demonstrate that cognitive style plays a role in shaping students' thinking processes during mathematical problem-solving and provide a basis for teachers to design instruction that accounts for students' cognitive style characteristics to enhance conceptual understanding..
Keywords: Pseudothinking, Cognitive Style, Field-Dependent, Pythagorean Theorem.
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Apriyani, R., & Ibrahim. (2021). Students' metacognitive process in mathematical problem solving based on cognitive style. Quadratic: Journal of Innovation and Technology in Mathematics and Mathematics Education, 1(1), 47–55. https://doi.org/10.14421/quadratic.2021.11-07
Alamsyah, Agus, and Erry Hidayanto. 2019. “Berpikir Pseudo Siswa Pada Konsep Pecahan,” no. 1997, 1060–70. Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan. https://doi.org/10.17977/jptpp.v4i8.13041
Anjelina, Mufidatin, Pendidikan Matematika, Universitas Negeri Surabaya, Pendidikan Matematika, and Universitas Negeri Surabaya. 2023. “MATHE Dunesa” 12 (2): 652–63. https://doi.org/10.26740/mathedunesa.v12n2.p652-662.
Berek, M. D. F., Sesanti, N. R., & Wahyuningtyas, D. T. (2025). Analisis kemampuan pemecahan masalah matematika siswa menurut Polya ditinjau dari gaya kognitif. Pendas: Jurnal Ilmiah Pendidikan Dasar.
Donald R. Goodenough, Herman A. Witkin. 1977. “ETS Research Bulletin Series - June 1977 - Goodenough - Origins Of The Field‐Dependent And Field‐Independent Cognitive.Pdf.” https://doi.org/10.1002/j.2333-8504.1977.tb01134.
Evans, C., & Waring, M. (2021). Understanding Pedagogy: Developing a Critical Approach to Teaching and Learning. Routledge.
Ghufron, M N, and R R Suminta. 2020. “Epistemic Beliefs on Field-Dependent and Field-Independent Learning Style.” Cakrawala Pendidikan 39 (3): 532–44. https://doi.org/10.21831/cp.v39i3.23800.
Jannah, D. R. N., Gunarhadi, & Riyadi. (2025). Polya's approach to analyze students' errors in HOTS mathematics story problems: Case study in elementary schools. Jurnal Ilmiah Sekolah Dasar. https://doi.org/10.23887/jisd.v8i4.84327
Kusmaryono, I. 2023. “Transforming Students’ Pseudo-Thinking into Real Thinking in Mathematical Problem Solving.” International Journal of Educational Methodology 9 (3): 477–91. Jurnal Internasional Metodologi Pendidikan. https://doi.org/10.12973/ijem.9.3.477
Lutfia, A. G., & Kholid, M. N. (2026, March). Fragmentation of students’ thinking in solving story problems. In AIP Conference Proceedings (Vol. 3412, No. 1, p. 020111). AIP Publishing LLC.
Maqruf, A., Herman, T., Anwar, L., Wicaksono, A., & Warli, D. (2024). Students' Analytical Thinking Process in Solving Sets Problems in Terms of The Characteristics of Pseudo Thinking. Acta Scientiae, 26(4). https://doi.org/10.17648/acta.scientiae
Miles, M. B., Huberman, A. M., & Saldaña, J. (2014). Qualitative Data Analysis: A Methods Sourcebook (3rd ed.). Sage Publications.
Nurafni, N, A Miatun, and H Khusna. 2018. “Profil Pemahaman Konsep Teorema Pythagoras Siswa Berdasarkan Perbedaan Gaya Kognitif Field Independent Dan Field.” Kalamatika: Jurnal Pendidikan Matematika 3 (2): 175–92. https://doi.org/10.22236/kalamatika.vol3no2.2018pp175-192.
Organisation for Economic Co-operation and Development (OECD). (2023). PISA 2022 Results (Volume I): The State of Learning and Equity in Education. Paris: OECD Publishing
Pradiarti, R. A., & Subanji. (2022). Kemampuan pemecahan masalah matematis siswa SMP ditinjau dari gaya kognitif. Mosharafa: Jurnal Pendidikan Matematika, 11(3). https://doi.org/10.31980/mosharafa.v11i3.729
Prayoga, S A, T Puspitaningayu, and N H M Sari. 2024. “Pengaruh Gaya Kognitif Terhadap Hasil Belajar Siswa Pada Mata Pelajaran Matematika.” Fraktal: Jurnal Matematika Dan Pendidikan Matematika 5 (1): 64–72. https://doi.org/10.35508/fractal.v5i1.16094
Rifqy, Z. A., Gaffar, A., & Bahar, E. E. (2025). Pseudo-thinking in solving mathematical problems based on field independent cognitive style. Indonesian Journal of Research and Educational Review, 5(2). https://doi.org/10.51574/ijrer.v5i2.4695
Setiawan, A., Degeng, I. N. S., Sa'dijah, C., & Praherdhiono, H. (2025). Collaborative problem solving vs problem-based learning and cognitive styles on students' problem-solving skills and mathematical reasoning abilities. Journal of Advanced Sciences and Mathematics Education. https://doi.org/10.58524/jasme.v5i2.965
Setyaningrum, L., Kholid, M. N., Prihatini, C., Maretha, C., & Alrajafi, G. (2024, January). Defragmenting the structure of Pseudo-Thinking students in solving contextual problems on integer problems. In AIP Conference Proceedings (Vol. 2926, No. 1, p. 020014). AIP Publishing LLC.
Subanji, S, and T Nusantara. 2016. “Thinking Process of Pseudo Construction in Mathematics Concepts.” International Education Studies 9 (2): 17–31. https://doi.org/10.5539/ies.v9n2p17.
Suryani, L, and R Ningsih. 2023. “Analisis Kemampuan Berpikir Kritis Siswa Dalam Menyelesaikan Soal Matematika Berbasis Masalah.” Jurnal Pendidikan Matematika Dan Sains (JPMS) 8 (1): 45–54. https://doi.org/10.31004/jpms.v8i1.5240.
Ulya, P. S., & Setyaningsih, N. (2024). The students' skills in solving mathematics open-ended problems based on cognitive style backgrounds. Edumatika: Jurnal Riset Pendidikan Matematika, 7(2). https://doi.org/10.32939/ejrpm.v7i2.4200
Vinner, S. 1997. “The Pseudo-Conceptual and the Pseudo-Analytical Thought Processes in Mathematics Learning.” Educational Studies in Mathematics 34 (2): 97–129. https://doi.org/10.1023/A:1002998529016.
Wulandari, H T, E A Purnomo, and V D Mawarsari. 2023. “Analisis Kemampuan Pemecahan Masalah Ditinjau Dari Pikiran Pseudo.” Math Didactic: Jurnal Pendidikan Matematika 9 (3): 482–96. https://doi.org/10.33654/math.v9i3.2490.
Yuliana, Y, R R Rahayu, and F Firmansah. 2022. “Kesalahan Siswa Dalam Pemecahan Masalah Matematika Pada Teorema Pythagoras.” Edukatif: Jurnal Ilmu Pendidikan 4 (4): 5532–43. https://doi.org/10.31004/edukatif.v4i4.3294.
DOI: http://dx.doi.org/10.30659/kontinu.10.2.327-344
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