Crenças dos alunos sobre matemática através de metáforas
DOI:
https://doi.org/10.48017/dj.v11i1.3492Palavras-chave:
estudo qualitativo, metáfora, crenças epistemológicas, abordagem fenomenológicaResumo
Este estudo explorou como alunos do ensino fundamental II em Abra, Filipinas, conceituam a matemática por meio de metáforas, revelando uma progressão no desenvolvimento de suas crenças matemáticas. Os pesquisadores empregaram uma abordagem qualitativa e fenomenológica, analisando metáforas visuais e escritas de 20 alunos do 7º ao 10º ano. Os alunos foram incentivados a desenhar e refletir sobre o significado da matemática para eles, gerando uma ampla gama de metáforas. A análise revelou seis categorias temáticas de metáforas: matemática como jornada, vida, ferramenta, valor, história e objeto tangível. Os alunos mais jovens (7º ano) usaram comumente metáforas lúdicas e experienciais, como jogo e aventura, indicando uma visão da matemática orientada pela identidade. Os alunos do 8º ano introduziram metáforas abstratas e funcionais, como sonho e calculadora, refletindo um pensamento de transição. No 9º ano, os alunos tenderam a usar metáforas concretas, baseadas em objetos, como régua e pirâmide, denotando uma compreensão aplicada. Os alunos do 10º ano expressaram metáforas mais simbólicas e reflexivas, como rio, troféu e Grécia Antiga, sugerindo maior maturidade conceitual e consciência cultural. A metáfora recorrente da vida em todos os níveis de escolaridade sinalizou a percepção dos alunos sobre a matemática como essencial e sempre presente. Essas escolhas de metáforas destacam como a idade, a experiência e o desenvolvimento cognitivo moldam as crenças epistemológicas dos alunos sobre matemática. Os resultados sugerem que as metáforas são ferramentas cognitivas poderosas, proporcionando insights sobre as identidades e experiências matemáticas dos aprendizes. Os educadores podem usar esses insights para fundamentar estratégias de ensino mais responsivas e adequadas ao desenvolvimento.
Referências
Adeshola, I., & Adepoju, A. P. (2024). The opportunities and challenges of ChatGPT in education. Interactive Learning Environments, 32(10), 6159-6172. https://doi.org/10.1080/10494820.2023.2253858
Akpalu, R., Boateng, P. A., Ayisi, E., & Owusu, J. (2025). Students’ perceptions of mathematics and the impact on their achievement among senior high school students in Ghana. International Journal of Research and Innovation in Social Science, 9(1), 3829-3840. https://dx.doi.org/10.47772/IJRISS.2025.9010299
Alam, A., & Mohanty, A. (2024). Unveiling the complexities of ‘Abstract Algebra ‘in University Mathematics Education (UME): Fostering ‘conceptualization and understanding’ through advanced pedagogical approaches. Cogent Education, 11(1), 2355400. https://doi.org/10.1080/2331186X.2024.2355400
Albay, E. M., & Aquino, R. L. (2024). Utilizing flipped classroom and the first principles of effective instruction in teaching finite geometry. International Journal of Instruction, 17(1), 177–192. https://doi.org/10.29333/iji.2024.17110a
Albay, E. M., Aquino, R. L., Alambra, R. V. E., Eisma, D. V., & Quiambao, R. D. (2024). Assessing graduates’ attributes and job performance for program curriculum enhancement. International Journal of Evaluation and Research in Education (IJERE), 13(4), 2689-2697. DOI: 10.11591/ijere.v13i4.27090
Albay, E. M., & Eisma, D. V. (2025). Using design thinking for developing pre-service teachers’ creativity in designing teaching plans to promote interactive learning in mathematics. Learning and Instruction, 96, 102070. https://doi.org/10.1016/j.learninstruc.2024.102070
Asenova, M. (2024). Is theoretical topic-specific research “old fashioned”? An epistemological inquiry about the ontological creativity of Mathematics Education Research. Mathematics Education Research Journal, 36(4), 849-870. https://doi.org/10.1007/s13394-023-00471-z
Atkins, K., Dougan, B. M., Dromgold-Sermen, M. S., Potter, H., Sathy, V., & Panter, A. T. (2020). “Looking at myself in the future”: how mentoring shapes scientific identity for STEM students from underrepresented groups. International Journal of STEM Education, 7, 1-15. https://doi.org/10.1186/s40594-020-00242-3
Barete, M. G., & Taja-on, E. P. (2024). Students’ perception in learning the course mathematics in the modern world: A qualitative study. East Asian Journal of Multidisciplinary Research, 3(7), 2977-2988. https://doi.org/10.55927/eajmr.v3i7.10071
Brandt, N. D., Lechner, C. M., Tetzner, J., & Rammstedt, B. (2020). Personality, cognitive ability, and academic performance: Differential associations across school subjects and school tracks. Journal of Personality, 88(2), 249-265. https://doi.org/10.1111/jopy.12482
Chan, K. K., & Reynolds, B. L. (2022). Metaphoric beliefs of students engaged in dynamic mathematics lessons. Eurasia Journal of Mathematics, Science and Technology Education, 18(10), em2169. https://doi.org/10.29333/ejmste/12463
Demirbilek, N., & Korkmaz, C. (2021). Study concept as a metaphor from the lenses of university students. African Educational Research Journal, 9(1), 227-236. http://www.netjournals.org/aer_index.html
Gadanidis, G., Hughes, J. M., Namukasa, I., & Scucuglia, R. (2024). Computer programming puzzles, mathematics education, and the culture of learning. In Ways of Thinking in STEM-based Problem Solving (pp. 218-234). Routledge. https://www.taylorfrancis.com/chapters/edit/10.4324/9781003404989-16
Gibbs Jr, R. W., & Siman, J. (2021). How we resist metaphors. Language and Cognition, 13(4), 670-692. https://doi.org/10.1017/langcog.2021.18
Harefa, D. (2023). The relationship between students' interest in learning and mathematics learning outcomes. Afore: Jurnal Pendidikan Matematika, 2(2), 1-11. https://doi.org/10.57094/afore.v2i2.1054
Haser, Ç., Arslan, O., & Çelikdemir, K. (2024). Who is a mathematics teacher and what does a mathematics teacher do?. International Journal of Science and Mathematics Education, 22(2), 283-305. https://doi.org/10.1007/s10763-023-10378-7
Hill, J. L., Kern, M. L., Seah, W. T., & van Driel, J. (2020). Feeling good and functioning well in mathematics education: Exploring students’ conceptions of mathematical well-being and values. ECNU Review of Education, 4(2), 349-375. https://doi.org/10.1177/2096531120928084
Ingram, N., & Meaney, T. (2021). “My parents are pretty pleased with my math’s”: students’ navigation of identity stories about mathematics. Research in Mathematics Education, 24(1), 51-68. https://doi.org/10.1080/14794802.2021.1938190
Kaphesi, E. (2014). Third-year university mathematics education students’ metaphorical understanding of mathematics teaching and learning. African Journal of Research in Mathematics, Science and Technology Education, 18(3), 276-286. https://doi.org/10.1080/10288457.2014.962729
Katranci, Y., Kiral, B., & Kedikli, D. (2021). Pre-service high school mathematics teachers’ perceptions about mathematics and mathematics teachers: A metaphorical approach. In W. B. James, C. Cobanoglu, & M. Cavusoglu (Eds.), Advances in global education and research (Vol. 4, pp. 1–14). USF M3 Publishing. https://www.doi.org/10.5038/9781955833042
Khadpe, P., Krishna, R., Fei-Fei, L., Hancock, J. T., & Bernstein, M. S. (2020). Conceptual metaphors impact perceptions of human-AI collaboration. Proceedings of the ACM on Human-Computer Interaction, 4(CSCW2), 1-26. https://doi.org/10.1145/341523
Lutovac, S. (2020). How failure shapes teacher identities: Pre-service elementary school and mathematics teachers narrated possible selves. Teaching and Teacher education, 94, 103120. https://doi.org/10.1016/j.tate.2020.103120
Men, F. E., Pantaleon, K. V., & Tamur, M. (2024). Metaphorical thinking intervention in learning and its impact on mathematical reasoning ability. Mosharafa: Jurnal Pendidikan Matematika, 13(1), 29–38. https://doi.org/10.31980/mosharafa.v13i1.1973
Presto, A. C., & Menorca, E. (2023). Students metacognitive strategies in solving mathematics problems in distance learning: A phenomenological study. International Journal of Multidisciplinary: Applied Business and Education Research, 4(4), 1259-1269. http://dx.doi.org/10.11594/ijmaber.04.04.21
Russell, B. (2025). The study of mathematics. In Mysticism and logic (pp. 54-68). Routledge. https://doi.org/10.4324/9781003604990-4
Savas, G., Danisman, S., & Kacar, S. N. (2024). Metaphorical perceptions of secondary school students on new generation mathematics questions. Kulliye, 5(2), 332-346. https://doi.org/10.48139/aybukulliye.1358322
Shone, E. T., Weldemeskel, F. M., & Worku, B. N. (2023). Strategies of enhancing students’ mathematics perception and self-efficacy to improve their mathematics achievement. Cogent Education, 10(2), 2285642. https://doi.org/10.1080/2331186X.2023.2285642
Teke, B. (2023). Pre-service mathematics teachers and undergraduate mathematics students’ metaphorical perceptions of the concept of mathematics. International Journal of Scholars in Education, 6(2), 181-203. https://doi.org/10.52134/euader.1347872
Verschaffel, L., Schukajlow, S., Star, J., & Van Dooren, W. (2020). Word problems in mathematics education: A survey. ZDM Mathematics Education, 52, 1–16. https://doi.org/10.1007/s11858-020-01130-4 Note: I added an author to Verschaffel et al. as it was incomplete.
Vimbelo, S., & Bayaga, A. (2024). Transforming mathematics education in TVET Colleges through humanising pedagogy: An exploration of teaching approaches, student engagement, and real-life examples. IETE Journal of Education, 65(2), 139-154. https://doi.org/10.1080/09747338.2024.2324808
Walfurqan. (2022). Investigating of students’ metaphorical thinking in solving algebra problems. Journal of Mathematics Pedadogy, 1(2), 54-61. https://doi.org/10.26740/jomp.v1n2.p54-61 Note: I added volume, issue, and page numbers for Walfurqan based on the DOI provided.
Wang, Y. (2024). Examining the role of sense of belonging and formative assessment in reducing the negative impact of learning anxiety in mathematics. European Journal of Psychology of Education, 39, 431–453. https://doi.org/10.1007/s10212-023-00701-9 Note: I expanded the abbreviated journal name for Wang.
Winter, B., & Yoshimi, J. (2020). Metaphor and the philosophical implications of embodied mathematics. Frontiers in Psychology, 11, 569487. https://doi.org/10.3389/fpsyg.2020.569487
Downloads
Publicado
Como Citar
Edição
Seção
Licença
Copyright (c) 2026 Roselyn Villa

Este trabalho está licenciado sob uma licença Creative Commons Attribution 4.0 International License.
O periodico Diversitas Journal expressa que os artigos são de unica responsabilidade dos Autores, conhecedores da legislação Brasileira e internacional. Os artigos são revisados pelos pares e devem ter o cuidado de avisar da possível incidencia de plagiarismo. Contudo o plagio é uma ação incontestavel dos autores. A Diversitas Journal não publicará artigos com indicios de Plagiarismos. Artigos com plagios serão tratados em conformidade com os procedimentos de plagiarismo COPE.
A violação dos direitos autorais constitui crime, previsto no artigo 184, do Código Penal Brasileiro:
“Art. 184 Violar direitos de autor e os que lhe são conexos: Pena – detenção, de 3 (três) meses a 1 (um) ano, ou multa. § 1o Se a violação consistir em reprodução total ou parcial, com intuito de lucro direto ou indireto, por qualquer meio ou processo, de obra intelectual, interpretação, execução ou fonograma, sem autorização expressa do autor, do artista intérprete ou executante, do produtor, conforme o caso, ou de quem os represente: Pena – reclusão, de 2 (dois) a 4 (quatro) anos, e multa.”











