Numeracy across field-dependent and field-independent cognitive styles of junior high students in Indonesia
DOI:
https://doi.org/10.29408/jel.v12i1.32267Keywords:
cognitive style, field dependent-independent, numeracyAbstract
This study explores differences in numeracy between junior high school students with Field-Dependent (FD) and Field-Independent (FI) cognitive styles. Using a qualitative descriptive approach, the study was conducted in two junior high schools in Kefamenanu, West Timor, Indonesia. Forty students, evenly distributed across the two schools, participated in the study. Data were collected through numeracy tests and in-depth interviews to examine students’ performance across three numeracy components: understanding, application, and reasoning. The findings reveal that students with an FI cognitive style generally demonstrated competence in all three components, although some experienced difficulties in reasoning tasks requiring critical evaluation and formal justification. In contrast, students with an FD cognitive style tended to achieve only the understanding and application components and faced persistent challenges in progressing to the reasoning component. These results highlight the importance of differentiated numeracy instruction. FD students benefit from visual representations, explicit guidance, and collaborative learning to strengthen foundational, whereas FI students require non-routine and argumentative tasks to enhance higher-order reasoning. This study recommends that educators and future researchers implement inclusive numeracy literacy practices aligned with students’ cognitive styles.
References
Carraher, E., Smith, R. E., & Lisle, P. (2017). Cognitive styles: leading collaborative architectural practice. Jhon Wiley & Sons. https://doi.org/10.1177/002221947000300101
Cragg, L., & Gilmore, C. (2014). Skills underlying mathematics: the role of executive function in the development of mathematics proficiency. Trends in Neuroscience and Education, 3(2), 63–68. https://doi.org/10.1016/j.tine.2013.12.001
Cueli, M., Areces, D., García, T., Alves, R. A., & González-Castro, P. (2020). Attention, inhibitory control, and early mathematical Skills in preschool students. Psicothema, 32(2), 236–242. https://doi.org/10.7334/psicothema2019.225
Engelbrecht, J., Borba, M. C., Llinares, S., & Kaiser, G. (2020). Will 2020 be remembered as the year in which education was changed? ZDM–Mathematics Education, 52(5), 821–824. https://doi.org/10.1007/s11858-020-01185-3
Hadi, W., & Csíkos, C. (2025). A systematic review on visualization in mathematical problem-solving in secondary schools. European Journal of Science and Mathematics Education, 13(4), 352–367. https://doi.org/10.30935/scimath/17410
Jelahu, R. A., Son, A. L., Bete, H., García-García, J., Sudirman, S., & Alghadari, F. (2023). Profile of middle school students' mathematical literacy ability in solving number pattern problems. International Journal of Science Education and Cultural Studies, 2(1), 1–14. https://doi.org/10.58291/ijsecs.v2i1.72
Jonsson, B., Norqvist, M., Liljekvist, Y., & Lithner, J. (2022). Creative mathematical reasoning: does need for cognition and working memory capacity predict benefits from con-routine Practice? Frontiers in Psychology, 13, 859673. https://doi.org/10.3389/fpsyg.2021.797807
Karaçam, S., & Baran, A. D. (2015). The effects of field dependent/field independent cognitive styles and motivational styles on students’ conceptual understanding about direct current circuits. Asia-Pacific Forum on Science Learning and Teaching, 16(2), 1–19. https://eric.ed.gov/?id=EJ1096071
Karami, H., & Shahrokhi, M. (2021). The relationship between cognitive styles and mathematical problem solving among high school students. Journal of Educational Psychology, 113(3), 458–472.
Lithner, J. (2017). Principles for designing mathematical tasks that enhance imitative and creative reasoning. ZDM Mathematics Education, 49(6), 937–949. https://doi.org/10.1007/s11858-017-0867-3
Mefoh, P. C., Nwoke, M. B., & Chijioke, J. B. C. C. A. O. (2017). Effect of cognitive style and gender on adolescents’ problem solving ability. Journal of Thinking Skills and Creativity, 25, 47–52. https://doi.org/10.1016/j.tsc.2017.03.002
Miles, M. B., Huberman, A. M., & Saldana, J. (2013). Qualitative data analysis: a methods sourcebook. SAGE Publications, Thousand Oaks. https://books.google.co.id/books?id=p0wXBAAAQBAJ&printsec=frontcover&hl=id#v=onepage&q&f=false
Morris, S., Farran, E. K., & Dumontheil, I. (2019). Field independence associates with mathematics and science performance in 5-10 year-olds after accounting for domain-general factors. Mind, Brain, and Education, 13(3), 167–177. https://doi.org/10.1111/mbe.12214
OECD. (2016). PISA 2015 Results in Focus. OECD Publishing. https://doi.org/10.1787/aa9237e6-en
OECD. (2019). PISA 2018 Results: What Students Know and Can Do. OECD Publishing. https://doi.org/10.1787/5f07c754-en
OECD. (2023a). PISA 2022 Assessment and analytical framework. OECD Publishing. https://doi.org/10.1787/dfe0bf9c-en
OECD. (2023b). PISA 2022 Results (volume I): student performance. OECD Publishing. https://doi.org/10.1787/19963777
Rum, A. M., & Juandi, D. (2023). Students mathematical literacy viewed from cognitive style: systematic literature review. Jambura Journal of Mathematics Education, 4(1), 1–10. https://doi.org/10.34312/jmathedu.v4i1.17438
Santoso, F. G. I., & Sari, A. E. R. M. (2025). Mathematical literacy of prospective mathematics teacher based on cognitive style. Jurnal Elemen, 11(2), 427–446. https://doi.org/10.29408/jel.v11i2.28494
Son, A. L., & Fatimah, S. (2020). Students' mathematical problem-solving ability based on teaching models intervention and cognitive style. Journal on Mathematics Education, 11(2), 209–222. https://doi.org/10.22342/jme.11.2.10744.209-222
Son, A. L., & Fatimah, S. (2021). The position of students' errors in algebraic problem-solving based on field dependent and independent. Kalamatika: Jurnal Pendidikan Matematika, 6(1), 57–70. https://doi.org/10.22236/KALAMATIKA.vol6no1.2021pp57-70
Son, A. L., Talan, M. R., Mone, F., & Jelahu, R. A. (2023). Profil kemampuan literasi dan numerasi siswa sekolah menengah pertama [Profile of literacy and numeracy ability of junior high school students. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(1), 922–932. https://doi.org/10.24127/ajpm.v12i1.6569
Vecchione, F., Giancola, M., Palmiero, M., Marucci, F. S., Piccardi, L., & D'Amico, A. (2023). Field dependence-independence mediates the association between visual perception and mathematics: a cross-sectional study in children and preadolescents. European Journal of Developmental Psychology, 20(6), 888–905. https://doi.org/10.1080/17405629.2023.2177726
Wang, T. H., & Kao, C. H. (2022). Investigating factors affecting student academic achievement in mathematics and science: cognitive style, self-regulated learning and working memory. Instructional Science, 50(5), 789–806. https://doi.org/10.1007/s11251-022-09594-5
Witkin, H. A., Moore, C. A., Goodenough, D. R., & Cox, P. W. (1977). Field-dependent and field-independent cognitive styles and their educational implications. Review of Educational Research, 47(1), 1–64. https://doi.org/10.3102/00346543047001001
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