Students’ Analogical Reasoning in Solving Number Pattern Problems

DOI:

https://doi.org/10.58421/gehu.v4i4.735

Authors

  • Intan Juniarmi Universitas Jambi
  • Rohati Rohati Universitas Jambi
  • Duano Sapta Nusantara Universitas Jambi

Keywords:

Analogical reasoning, Student answers, Mathematical problem solving, Number patterns, Junior high school

Abstract

This study aimed to analyze students’ answers in solving number pattern problems in terms of analogical reasoning ability. Six seventh-grade students with varying academic levels participated in the study. Data were collected through written tests and semi-structured interviews, then analyzed using the analogical reasoning framework, which includes four indicators: encoding, inferring, mapping, and applying. The results showed that the total scores of the six participants ranged from 18 to 30. Student 1 obtained the lowest score (18), indicating weaknesses particularly in applying pattern rules to determine the required terms correctly. In contrast, Students 3, 4, and 5 achieved the maximum score of 30, demonstrating consistency in recognizing pattern rules, mapping structural similarities, and applying their reasoning accurately across tasks. The average total score was 27.5, suggesting that most students demonstrated relatively strong analogical reasoning skills, although some individuals still experienced difficulty in the applying stage, which demands higher precision and conceptual understanding. The study contributes to understanding how analogical reasoning influences students’ mathematical problem-solving and offers pedagogical insights for enhancing instruction of non-routine tasks through reasoning-based learning strategies.

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References

X.-Q. Dao and N.-B. Le, “Investigating the Effectiveness of ChatGPT in Mathematical Reasoning and Problem Solving: Evidence from the Vietnamese National High School Graduation Examination,” 2023, arXiv. doi: 10.48550/ARXIV.2306.06331.

J. Nilimaa, “New Examination Approach for Real-World Creativity and Problem-Solving Skills in Mathematics,” Trends in Higher Education, vol. 2, no. 3, pp. 477–495, July 2023, doi: 10.3390/higheredu2030028.

T. Keleş and Y. Yazgan, “Gifted eighth, ninth, tenth and eleventh graders’ strategic flexibility in non-routine problem solving,” The Journal of Educational Research, vol. 114, no. 4, pp. 332–345, July 2021, doi: 10.1080/00220671.2021.1937913.

N. Ozrecberoglu, S. Aydın, and O. Aydın, “Students’ Skills In Solving Non-Routine Mathematical Problems,” eqr, vol. 5, no. 2, June 2022, doi: 10.31014/aior.1993.05.02.504.

H. D. A. D. Umbara, A. Jupri, and J. A. Dahlan, “Mathematical Critical Thinking Ability of Grade IX Students in Solving Ill-Structured Problems,” Form.J.Il.P.MIPA, vol. 15, no. 1, Feb. 2025, doi: 10.30998/formatif.v15i1.27337.

J. Říčan, V. Chytrý, and J. Medová, “Aspects of self-regulated learning and their influence on the mathematics achievement of fifth graders in the context of four different proclaimed curricula,” Front. Psychol., vol. 13, p. 963151, Oct. 2022, doi: 10.3389/fpsyg.2022.963151.

B. P. Uyen, D. H. Tong, and N. T. B. Tram, “Developing Mathematical Communication Skills for Students in Grade 8 in Teaching Congruent Triangle Topics,” EUROPEAN J ED RES, vol. volume–10–2021, no. volume–10–issue–3–july–2021, pp. 1287–1302, July 2021, doi: 10.12973/eu-jer.10.3.1287.

S. L. Chew and W. J. Cerbin, “The cognitive challenges of effective teaching,” The Journal of Economic Education, vol. 52, no. 1, pp. 17–40, Jan. 2021, doi: 10.1080/00220485.2020.1845266.

A. A. Khasawneh, A. A. Al-Barakat, and S. A. Almahmoud, “The Effect of Error Analysis-Based Learning on Proportional Reasoning Ability of Seventh-Grade Students,” Front. Educ., vol. 7, p. 899288, July 2022, doi: 10.3389/feduc.2022.899288.

Y. Qi, Y. Chen, X. Yu, X. Yang, X. He, and X. Ma, “The relationships among working memory, inhibitory control, and mathematical skills in primary school children: Analogical reasoning matters,” Cognitive Development, vol. 70, p. 101437, Apr. 2024, doi: 10.1016/j.cogdev.2024.101437.

M. E. Gray and K. J. Holyoak, “Teaching by Analogy: From Theory to Practice,” Mind Brain and Education, vol. 15, no. 3, pp. 250–263, Aug. 2021, doi: 10.1111/mbe.12288.

R. Darmayanti, R. Sugianto, and Y. Muhammad, “Analysis of Students’ Adaptive Reasoning Ability in Solving HOTS Problems Arithmetic Sequences and Series in Terms of Learning Style,” Numerical: J.Mat and Pend.Mat, pp. 73–90, May 2022, doi: 10.25217/numerical.v6i1.2340.

R. J. Sternberg, “Component processes in analogical reasoning.,” Psychological Review, vol. 84, no. 4, pp. 353–378, July 1977, doi: 10.1037/0033-295X.84.4.353.

Adelia Indriani, Zahwah Zahwah, and Syutaridho Syutaridho, “Memahami Cara Belajar dan Kesulitan Siswa dalam Menyelesaikan Soal Pola Bilangan,” Pentagon, vol. 3, no. 2, pp. 74–79, May 2025, doi: 10.62383/pentagon.v3i2.523.

D. Agusantia and D. Juandi, “Kemampuan Penalaran Analogi Matematis di Indonesia: Systematic Literature Review,” Symmetry, vol. 7, no. 2, pp. 222–231, Dec. 2022, doi: 10.23969/symmetry.v7i2.6436.

T. Wulandari and I. U. Machromah, “Kemampuan Penalaran Matematis Siswa dalam Menyelesaikan Soal HOTS pada Materi Pola Bilangan,” Cendekia, vol. 8, no. 1, pp. 689–700, Mar. 2024, doi: 10.31004/cendekia.v8i1.2014.

A. K. Ahmad, Ishak, and Afdalia, “Peningkatan Hasil Belajar Matematika melalui Model Pembelajaran Kooperatif Tipe Two Stay Two Stray,” IJME, vol. 1, no. 2, pp. 79–87, July 2022, doi: 10.58917/ijme.v1i2.23.

N. S. R. Hasibuan, Y. Roza, and M. Maimunah, “Analisis Kesalahan Siswa dalam Menyelesaikan Masalah Matematika Berdasarkan Teori Kastolan,” j. paedagog. penelit. pengemb. pendidik., vol. 9, no. 3, p. 486, July 2022, doi: 10.33394/jp.v9i3.5287.

D. Deslis and D. Desli, “Does this Answer Make Sense? Primary School Students and Adults Judge the Reasonableness of Computational Results in Context-Based and Context-Free Mathematical Tasks,” Int J of Sci and Math Educ, vol. 21, no. 1, pp. 71–91, Jan. 2023, doi: 10.1007/s10763-022-10250-0.

N. Loc and B. P. Uyen, “Using Analogy in Teaching Mathematics: An Investigation of Mathematics Education Students in School of Education - Can Tho University,” 2014. Accessed: Sept. 26, 2025. [Online]. Available: https://www.semanticscholar.org/paper/Using-Analogy-in-Teaching-Mathematics%3A-An-of-in-of-Loc-Uyen/e5a7d4c9177bfd429e541c5fc6b04d8cccd8c7dc

J. D. Bransford and D. L. Schwartz, “Rethinking Transfer: A Simple Proposal with Multiple Implications,” Review of Research in Education, vol. 24, p. 61, 1999, doi: 10.2307/1167267.

T. P. Carpenter, T. P. Carpenter, E. Fennema, M. L. Franke, L. Levi, and S. B. Empson, Children’s mathematics: cognitively guided instruction, Second edition. Portsmouth, NH: Heinemann, 2015.

L. E. Richland, O. Zur, and K. J. Holyoak, “Cognitive Supports for Analogies in the Mathematics Classroom,” Science, vol. 316, no. 5828, pp. 1128–1129, May 2007, doi: 10.1126/science.1142103.

S. Sachdeva and P.-O. Eggen, “Learners’ Critical Thinking About Learning Mathematics,” INT ELECT J MATH ED, vol. 16, no. 3, p. em0644, June 2021, doi: 10.29333/iejme/11003.

R. Marasabessy, “Study of Mathematical Reasoning Ability for Mathematics Learning in Schools: A Literature Review,” Indonesian J. Teach. Sci., vol. 1, no. 2, pp. 79–90, Dec. 2021, doi: 10.17509/ijotis.v1i2.37950.

K. J. C. Encio, “Mathematical Habits Of Mind In Solving Non-Routine Problems And Academic Performance Of Grade 9 Students ,” Int. J. Res. Publ. Rev., pp. 3473–3481, July 2022, doi: 10.55248/gengpi.2022.3.7.21.

Z. Kablan and S. S. Uğur, “The relationship between routine and non-routine problem solving and learning styles,” Educational Studies, vol. 47, no. 3, pp. 328–343, May 2021, doi: 10.1080/03055698.2019.1701993.

L. E. Rivas and M. Trench, “Analogical reasoning during hypothesis generation: the effects of object and domain similarities on access and transfer,” Thinking & Reasoning, vol. 31, no. 2, pp. 158–182, Apr. 2025, doi: 10.1080/13546783.2024.2409467.

F. G. Putra, A. Saregar, R. Diani, M. Misbah, S. Widyawati, and K. Imama, “Enhancing mathematical reasoning: role of the search, solve, create, and share learning,” EduLearn, vol. 18, no. 3, pp. 961–969, Aug. 2024, doi: 10.11591/edulearn.v18i3.21399.

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Published

2025-11-21

How to Cite

[1]
I. Juniarmi, R. Rohati, and D. S. Nusantara, “Students’ Analogical Reasoning in Solving Number Pattern Problems”, J.Gen.Educ.Humanit., vol. 4, no. 4, pp. 2227–2242, Nov. 2025.

Issue

Vol. 4 No. 4 (2025): November

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Articles

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