REFLECTIVE THINKING OF JUNIOR HIGH SCHOOL STUDENTS IN SOLVING NUMERACY PROBLEMS VIEWED FROM MATHEMATICAL ABILITY
DOI:
https://doi.org/10.32665/james.v9i1.6315Keywords:
Mathematical Ability, Numeracy Problems, Problem Solving, Reflective ThinkingAbstract
This research aims to explore in depth the reflective thinking processes of junior high school students in solving numeracy problems based on mathematical ability. The study employed a qualitative approach with a case study design involving six female students from class IX H of SMP Negeri 31 Surabaya, consisting of two high-ability students, two medium-ability students, and two low-ability students selected through purposive sampling. Data collection was conducted through the Mathematical Ability Test, the Numeracy Problem Test in an algebraic context, and semi-structured interviews, and the data were analyzed descriptively and qualitatively following the Miles and Huberman model, with source triangulation to ensure data validity. The research findings reveal significant differences in reflective thinking characteristics across mathematical ability categories. High-ability students demonstrated comprehensive reflective thinking with strong metacognitive awareness, capable of accurately identifying variables, flexibly planning strategies, and conducting thorough evaluations, including exploration of alternatives. Medium-ability students had strong foundations in reflective thinking but tended to perform procedural checks without in-depth exploration, indicating a transitional stage in metacognitive awareness development. Low-ability students experienced significant limitations in reflective thinking and metacognitive awareness, exacerbated by low self-confidence. This research concludes that differentiated learning tailored to students' ability levels is necessary: low-ability students require intensive scaffolding, medium-ability students need guidance in transitioning from procedural to strategic reflection, and high-ability students require complex challenges to optimize their metacognitive abilities.References
Akdemir, E. (2018). Investigating the Reflective Thinking Skills of Students for Problem Solving. Online Submission, 1, 774–780.
Baron, J. (1981). Reflective thinking as a goal of education. In Intelligence (Vol. 5, Number 4, pp. 291–309). Elsevier.
Creswell, J. W., & Poth, C. N. (2016). Qualitative inquiry and research design: Choosing among five approaches. Sage publications.
Dewey, J. (1981). Reflective Thinking in Social Studies Curricula.
Fuady, A. (2016). Berfikir reflektif dalam pembelajaran matematika. JIPMat, 1(2).
Gürol, A. (2011). Determining the reflective thinking skills of pre-service teachers in learning and teaching process. Energy Education Science and Technology Part B-Social and Educational Studies, 3(3).
Ja’faruddin, J., & Hamda, H. (2025). Dampak Resiliensi Matematis dan Kemampuan Numerasi Terhadap Kemampuan Pemecahan Masalah Siswa SMP. Journal of Mathematics Education and Local Wisdom, 1(1).
Karli, H. (2018). Implementasi berpikir reflektif dalam pembelajaran di sekolah dasar. Jurnal Pendidikan Penabur, 17(31), 47–58.
Kramarski, B., & Mevarech, Z. R. (2003). Enhancing mathematical reasoning in the classroom: The effects of cooperative learning and metacognitive training. American Educational Research Journal, 40(1), 281–310.
Martin, R., & Surya, E. (2022). Kemampuan Pemecahan Masalah Matematika Siswa Untuk Meningkatkan Pemahaman Konsep Pada Materi Geometri. Prosiding Pendidikan Dasar, 1(1), 105–111.
Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded sourcebook. sage.
Nindiasari, H. (2014). Pendekatan metakognitif untuk meningkatkan kemampuan berpikir reflektif matematis siswa SMA. Edusentris, 1(1), 80–90.
OECD. (2019). Guiding Principles On Business And Human Rights: Implementing The United Nations “Protect, Respect And Remedy” Framework. Paris: Oecd Publishing.
Pacheco, C. S., & Herrera, C. I. (2021). A conceptual proposal and operational definitions of the cognitive processes of complex thinking. Thinking Skills and Creativity, 39, 100794.
Phan, H. P. (2009). Exploring students’ reflective thinking practice, deep processing strategies, effort, and achievement goal orientations. Educational Psychology, 29(3), 297–313.
Putri, A. S., & Mampouw, H. L. (2018). Profil berpikir reflektif siswa dalam menyelesaikan soal tipe-tipe perkalian ditinjau dari perbedaan kemampuan matematika dan gender. Math Didactic: Jurnal Pendidikan Matematika, 4(1), 34–46.
Ratumanan, T. G. (2004). Belajar dan pembelajaran. Surabaya: UNESA university press.
Sumarmo, U. (2012). Pendidikan karakter serta pengembangan berfikir dan disposisi matematik dalam pembelajaran matematika. Seminar Pendidikan Matematika, 25, 1–26.
Widodo, S., & Kartikasari, K. (2017). Pembelajaran pemecahan masalah matematis siswa sekolah dasar dengan model creative problem solving (CPS). Prisma, 6(1), 57–65.
Yin, R. K. (2018). Case study research and applications (Vol. 6). Sage Thousand Oaks, CA.
Zehavi, N., & Mann, G. (2011). Development process of a praxeology for supporting the teaching of proofs in a cas environment based on teachers’ experience in a professional development course. Technology, Knowledge and Learning, 16(2), 153–181.
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