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Phenomenological Hermeneutic Study on the Epistemological Obstacles of High School Students in Solving Combinatorics Problems

Artigo2025

Tri Nopriana; Sri Asnawati; Nia Kania

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Resumo

This study employs a hermeneutic phenomenological approach to explore students' epistemological obstacles in solving permutation and combination problems, with the goal of supporting the development of more effective teaching materials. The research involved 24 12th-grade high school students (14 males and 10 females) and used qualitative methods. Data were collected through five diagnostic essay questions and semi-structured interviews to identify epistemological obstacles in combinatorics. Students’ written responses and interview transcripts were analyzed and interpreted to uncover the underlying obstacles. The findings revealed several epistemological obstacles: (1) students were unable to identify all possible answers from a given problem; (2) students could not differentiate between problems requiring the concept of permutation and those requiring the concept of combination; (3) students struggled to solve problems that differed from the example problems provided; and (4) challenges in formulating a complete solution when faced with multiple conditions, despite being able to calculate partial results. These insights suggest that teachers and future researchers should consider students' epistemological obstacles when designing instructional materials, particularly for topics in combinatorics such as permutations and combinations. Developing learning resources based on these findings may enhance conceptual understanding and problem-solving skills among students.

Dados da obra

Tipo
Artigo
Periódico
Southeast Asian Mathematics Education Journal, v. 15, n. 1, p. 71-86
Editora
SEAMEO Regional Centre for QITEP in Mathematics
Ano
2025 (2025-06)
Idioma
en
Palavras-chave
combination; epistemological obstacles; phenomenological hermeneutic; permutation; problem solving
Temas
Probabilidade, Resolução de Problemas
DOI
10.46517/seamej.v15i1.468
ISSN
2089-4716, 2721-8546
Acesso
Acesso aberto
Fontes
DOAJ — Directory of Open Access Journals
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
NOPRIANA, Tri; ASNAWATI, Sri; KANIA, Nia. Phenomenological Hermeneutic Study on the Epistemological Obstacles of High School Students in Solving Combinatorics Problems. Southeast Asian Mathematics Education Journal, v. 15, n. 1, p. 71-86, 2025. DOI: https://doi.org/10.46517/seamej.v15i1.468.

APA

Nopriana, T., Asnawati, S., & Kania, N. (2025). Phenomenological Hermeneutic Study on the Epistemological Obstacles of High School Students in Solving Combinatorics Problems. Southeast Asian Mathematics Education Journal, 15(1), 71-86. https://doi.org/10.46517/seamej.v15i1.468

BibTeX
@article{nopriana2025,
  author = {Nopriana, Tri and Asnawati, Sri and Kania, Nia},
  title = {Phenomenological Hermeneutic Study on the Epistemological Obstacles of High School Students in Solving Combinatorics Problems},
  year = {2025},
  journal = {Southeast Asian Mathematics Education Journal},
  volume = {15},
  number = {1},
  pages = {71-86},
  publisher = {SEAMEO Regional Centre for QITEP in Mathematics},
  doi = {10.46517/seamej.v15i1.468},
  language = {en}
}
RIS
TY  - JOUR
AU  - Nopriana, Tri
AU  - Asnawati, Sri
AU  - Kania, Nia
TI  - Phenomenological Hermeneutic Study on the Epistemological Obstacles of High School Students in Solving Combinatorics Problems
PY  - 2025
JO  - Southeast Asian Mathematics Education Journal
VL  - 15
IS  - 1
SP  - 71
EP  - 86
DO  - 10.46517/seamej.v15i1.468
LA  - en
ER  -

Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS

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