PENALARAN ADAPTIF DAN KOMPETENSI STRATEGIS MAHASISWA CALON GURU LAKI-LAKI DALAM MEMECAHKAN MASALAH MATEMATIKA BERDASARKAN KEMAMPUAN MATEMATIKA
https://doi.org/10.30605/pedagogy.v10i4.7677
Keywords:
Penalaran, Penalaran Adaptif, Kompetensi Strategis, Kemampuan Matematika, Masalah MatematikaAbstract
Penalaran adaptif dan kompetensi strategis menjadikan belajar matematika tidak hanya berorientasi pada hasil akhir, tetapi juga mengarah pada proses berpikir logis, reflektif dan bermakna. Penelitian ini bertujuan menganalisis penalaran adaptif dan kompetensi strategis mahasiswa calon guru laki-laki pendidikan matematika berdasarkan kemampuan matematika. Penelitian ini menggunakan pendekatan deskriptif kualitatif. Calon subjek penelitian adalah Mahasiswa program studi Pendidikan matematika kelas A11 Semester genap Tahun Ajaran 2024/2025. Subjek penelitian dipilih secara purposif, yaitu 3 mahasiswa laki-laki terdiri dari masing-masing 1 berkemampuan matematika tinggi, sedang dan rendah. Data kemampuan matematika diperoleh melalui tes. Masalah matematika divalidasi ahli oleh 2 pakar ilmu Pendidikan matematika dan 1 guru matematika. Masalah matematika yang digunakan adalah soal tidak rutin berupa soal cerita kontektual yang tercakup di dalamnya secara tersirat adalah konsep lingkaran, konsep trigonometri, dan konsep segitiga siku-siku. Teknik keabsahan data menggunakan triangulasi metode, yaitu dokumen hasil pengerjaan dan wawancara, dan juga menggunakan teknik kelengkapan referensi.Setelah dokumen hasil memecahkan masalah terkumpul maka dokumen tersebut di analisis, yaitu dengan tahap reduksi data, penyajian data dan penarikan kesimpulan. Kemampuan mahasiswa calon guru laki-laki bervariasi dalam memformulasi konteks masalah matematika bergantung pada tingkat kemampuan matematikanya. Mahasiswa berkemampuan tinggi mampu mengubah situasi masalah ke dalam bentuk representasi visual yang logis melalui strategi dekomposisi, namun pemahaman konseptualnya terhadap konteks masih belum menyeluruh. berkemampuan sedang cenderung menggunakan strategi identifikasi informasi dengan fokus pada pengenalan unsur dasar masalah. Mahasiswa berkemampuan rendah menunjukkan ketelitian dalam menggambar dan memiliki pengetahuan awal terhadap konsep dasar, namun belum dapat mengintegrasikan konsep-konsep matematika secara utuh dalam pemahaman konteks masalah
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References
Ahmad, M., & Nasution, D. P. (2018). Analisis Kualitatif Kemampuan Komunikasi Matematis Siswa Yang Diberi Pembelajaran Matematika Realistik. Jurnal Gantang, 3(2), 83–95. https://doi.org/10.31629/jg.v3i2.471 DOI: https://doi.org/10.31629/jg.v3i2.471
Ahsana Fitri, K., Prabawanto, S., & Cahya Mulyaning, E. (2024a). Students’ Adaptive Reasoning in Solving Pythagoras Theorem Problems Viewed by Gender. KnE Social Sciences. https://doi.org/10.18502/kss.v9i13.15970
Ahsana Fitri, K., Prabawanto, S., & Cahya Mulyaning, E. (2024b). Students’ Adaptive Reasoning in Solving Pythagoras Theorem Problems Viewed by Gender. KnE Social Sciences. https://doi.org/10.18502/kss.v9i13.15970
Ahsana Fitri, K., Prabawanto, S., & Cahya Mulyaning, E. (2024c). Students’ Adaptive Reasoning in Solving Pythagoras Theorem Problems Viewed by Gender. KnE Social Sciences. https://doi.org/10.18502/kss.v9i13.15970 DOI: https://doi.org/10.18502/kss.v9i13.15970
Ansari, B. I., & Taufiq. (2020). PENGEMBANGAN DAN HAMBATAN SISWA DALAM MENINGKATKAN KEMAMPUAN BERPIKIR TINGKAT TINGGI MATEMATIKA MELALUI METODE IMPROVE. Numeracy, 7(2). https://doi.org/10.46244/numeracy.v7i2.1190 DOI: https://doi.org/10.46244/numeracy.v7i2.1190
Awofala, A. O. A. (2017). Assessing senior secondary school students’ mathematical proficiency as related to gender and performance in mathematics in Nigeria. International Journal of Research in Education and Science, 3(2), 488–502. https://doi.org/10.21890/ijres.327908 DOI: https://doi.org/10.21890/ijres.327908
Baba, T. (2024). Openness of Problem Solving in the 21 st Century: Mathematical or Social? Proceedings of the 14th International Congress on Mathematical Education, 17–32. https://doi.org/10.1142/9789811287183_0002 DOI: https://doi.org/10.1142/9789811287183_0002
Bolat, R. C., & Arslan, Ç. (2024). Examination of mathematics teachers’ strategic flexibility in solving mathematical problems. Thinking Skills and Creativity, 54, 101679. https://doi.org/10.1016/j.tsc.2024.101679 DOI: https://doi.org/10.1016/j.tsc.2024.101679
Cook, J. L. (2006). College Students and Algebra Story Problems: Strategies for Identifying Relevant Information. Reading Psychology, 27(2–3), 95–125. https://doi.org/10.1080/02702710600640198 DOI: https://doi.org/10.1080/02702710600640198
Copur-Gencturk, Y., & Doleck, T. (2021a). Strategic competence for multistep fraction word problems: an overlooked aspect of mathematical knowledge for teaching. Educational Studies in Mathematics, 107(1), 49–70. https://doi.org/10.1007/s10649-021-10028-1
Copur-Gencturk, Y., & Doleck, T. (2021b). Strategic competence for multistep fraction word problems: an overlooked aspect of mathematical knowledge for teaching. Educational Studies in Mathematics, 107(1), 49–70. https://doi.org/10.1007/s10649-021-10028-1 DOI: https://doi.org/10.1007/s10649-021-10028-1
Dewi, I. L. K., Waluya, S. B., & Firmasari, S. (2020). Adaptive reasoning and procedural fluency in three-dimensional. Journal of Physics …. https://doi.org/10.1088/1742-6596/1511/1/012101 DOI: https://doi.org/10.1088/1742-6596/1511/1/012101
Dossey, J. A. (2017). Problem solving from a mathematical standpoint (pp. 59–72). https://doi.org/10.1787/9789264273955-6-en DOI: https://doi.org/10.1787/9789264273955-6-en
Eyup, Y. (2022). The Mediating Role of Metacognitive Strategies in The Relationship Between Gender and Mathematical Reasoning Performance. Psycho-Educational Research Reviews, 11(2), 98–120. https://doi.org/10.52963/perr_biruni_v11.n2.07 DOI: https://doi.org/10.52963/PERR_Biruni_V11.N2.07
Faujiah, E., Yurniwati, & Yarmi, G. (2024). EXPLORING MULTI-REPRESENTATION LEARNING APPROACH IN MATHEMATICS ELEMENTARY SCHOOL STUDENTS. Proceedings of International Conference on Education, 2(1), 348–358. https://doi.org/10.32672/pice.v2i1.1380 DOI: https://doi.org/10.32672/pice.v2i1.1380
Furini, F., Ljubić, I., & Traversi, E. (2020). Preface: decomposition methods for hard optimization problems. Annals of Operations Research, 284(2), 483–485. https://doi.org/10.1007/s10479-019-03415-8 DOI: https://doi.org/10.1007/s10479-019-03415-8
Geary, D. C., Hoard, M. K., Nugent, L., & Ünal, Z. E. (2023). Sex differences in developmental pathways to mathematical competence. Journal of Educational Psychology, 115(2), 212–228. https://doi.org/10.1037/edu0000763 DOI: https://doi.org/10.1037/edu0000763
Handayani, U. F. (2023). Kemampuan Berpikir Kreatif Dalam Menyelesaikan Permasalahan Pola Bilangan. Plusminus: Jurnal Pendidikan Matematika, 3(3), 399–410. https://doi.org/10.31980/plusminus.v3i3.1504 DOI: https://doi.org/10.31980/plusminus.v3i3.1504
Jenung, Y., Syukriani, A., & Juhari, A. (2025). PENGARUH MODEL PEMBELAJARAN KOOPERATIF TIPE THINK PAIR SHARE (TPS) TERHADAP PEMAHAMAN KONSEP MATEMATIS SISWA KELAS VII. Pedagogy: Jurnal Pendidikan Matematika, 10(2), 725–739. https://www.e-journal.my.id/pedagogy/article/view/6193
Kantowski, M. G. (1977). Processes Involved in Mathematical Problem Solving. Journal for Research in Mathematics Education, 8(3), 163–180. https://doi.org/10.5951/jresematheduc.8.3.0163 DOI: https://doi.org/10.5951/jresematheduc.8.3.0163
Li, C. (2020). The Core Literacy of Mathematics-The Cultivation of Mathematical Operation Ability. Lifelong Education, 9(7), 1. https://doi.org/10.18282/le.v9i7.1451 DOI: https://doi.org/10.18282/le.v9i7.1451
Malone, S., Altmeyer, K., Vogel, M., & Brünken, R. (2020). Homogeneous and heterogeneous multiple representations in equation‐solving problems: An eye‐tracking study. Journal of Computer Assisted Learning, 36(6), 781–798. https://doi.org/10.1111/jcal.12426 DOI: https://doi.org/10.1111/jcal.12426
Muhammad, I., & Angraini, L. M. (2023). RESEARCH ON STUDENTS’ MATHEMATICAL ABILITY IN LEARNING MATHEMATICS IN THE LAST DECADE: A BIBLIOMETRIC REVIEW. JOHME: Journal of Holistic Mathematics Education, 7(1), 108. https://doi.org/10.19166/johme.v7i1.6867 DOI: https://doi.org/10.19166/johme.v7i1.6867
Nielsen, M. W., Stefanick, M. L., Peragine, D., Neilands, T. B., Ioannidis, J. P. A., Pilote, L., Prochaska, J. J., Cullen, M. R., Einstein, G., Klinge, I., LeBlanc, H., Paik, H. Y., & Schiebinger, L. (2021). Gender-related variables for health research. Biology of Sex Differences, 12(1). https://doi.org/10.1186/s13293-021-00366-3 DOI: https://doi.org/10.1186/s13293-021-00366-3
Öz, T., & Işık, A. (2024). Exploring mathematical reasoning skills of middle school students. Thinking Skills and Creativity, 53. https://doi.org/10.1016/j.tsc.2024.101612 DOI: https://doi.org/10.1016/j.tsc.2024.101612
Özmantar, M. F., & Agaç, G. (2025). Mathematics teacher educators’ self-identifications and cross-disciplinary research tendencies: implications for boundary crossing and identity transformations. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-025-09698-y DOI: https://doi.org/10.1007/s10857-025-09698-y
Pangestika, D. (2024). Analisis Kompetensi Strategis Siswa pada Pembelajaran Mandiri Berbasis E-Modul-Dian Pangestika. Postulat : Jurnal Inovasi Pendidikan Matematika, 5(1), 1. https://doi.org/10.30587/postulat.v5i1.7838 DOI: https://doi.org/10.30587/postulat.v5i1.7838
Puspa, R. D., As’ari, A. R., & Sukoriyanto, S. (2020). Beban Kognitif Siswa Dalam Pembelajaran Matematika Berorientasi Pada Higher Order Thinking Skills (HOTS). Jurnal Pendidikan: Teori, Penelitian, Dan Pengembangan, 5(12), 1768. https://doi.org/10.17977/jptpp.v5i12.14325 DOI: https://doi.org/10.17977/jptpp.v5i12.14325
Rahmawati, M., Kurniati, D., Kristiana, A. I., Susanto, S., Alfarisi, R., & Osman, S. (2024). Senior High School Students’ Lack of Truth-Seeking Behavior in Mathematics Problem Solving. Tadris: Jurnal Keguruan Dan Ilmu Tarbiyah, 9(1), 1–17. https://doi.org/10.24042/tadris.v9i1.21604 DOI: https://doi.org/10.24042/tadris.v9i1.21604
Ramdani, Y., Rohaeni, O., & Wachidah, L. (2019). Investigation of gender influence to enhance the indicator of mathematical competency of college students in integral calculus learning. Journal of Physics: Conference Series, 1375(1), 012066. https://doi.org/10.1088/1742-6596/1375/1/012066 DOI: https://doi.org/10.1088/1742-6596/1375/1/012066
Rohati, R., Kusumah, Y. S., & Kusnandi, K. (2023). Exploring Students’ Mathematical Reasoning Behavior in Junior High Schools: A Grounded Theory. Education Sciences, 13(3). https://doi.org/10.3390/educsci13030252 DOI: https://doi.org/10.3390/educsci13030252
Rokhima, W. A., Kusmayadi, T. A., & Fitriana, L. (2019). Mathematical reasoning of student in senior high school based on gender differences. Journal of Physics: Conference Series, 1318(1), 012092. https://doi.org/10.1088/1742-6596/1318/1/012092 DOI: https://doi.org/10.1088/1742-6596/1318/1/012092
Sa’diyah, M., Sa’dijah, C., & Susiswo, S. (2024a). Students’ Ability to Formulate Situation Mathematically from Context-Based Mathematics Problems. TEM Journal, 1443–1451. https://doi.org/10.18421/TEM132-58
Sa’diyah, M., Sa’dijah, C., & Susiswo, S. (2024b). Students’ Ability to Formulate Situation Mathematically from Context-Based Mathematics Problems. TEM Journal, 13(2), 1443–1451. https://doi.org/10.18421/TEM132-58 DOI: https://doi.org/10.18421/TEM132-58
Sari, D. P., & Masriyah, M. (2022). Miskonsepsi Siswa SMP pada Konsep Segiempat Ditinjau dari Kemampuan Matematika serta Alternatif Untuk Mengatasinya. MATHEdunesa, 11(1), 46–57. https://doi.org/10.26740/mathedunesa.v11n1.p46-57 DOI: https://doi.org/10.26740/mathedunesa.v11n1.p46-57
Schoenfeld, A. H. (2016). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint). Journal of Education, 196(2), 1–38. https://doi.org/10.1177/002205741619600202 DOI: https://doi.org/10.1177/002205741619600202
Schulz, A. (2024). Assessing student teachers’ procedural fluency and strategic competence in operating and mathematizing with natural and rational numbers. Journal of Mathematics Teacher Education, 27(6), 981–1008. https://doi.org/10.1007/s10857-023-09590-7 DOI: https://doi.org/10.1007/s10857-023-09590-7
Semenets, S. P., Semenets, L. M., Andriichuk, N. M., & Lutsyk, O. M. (2022). Mathematical competence and mathematical abilities: structural relations and development methodology. Journal of Physics: Conference Series, 2288(1), 012023. https://doi.org/10.1088/1742-6596/2288/1/012023 DOI: https://doi.org/10.1088/1742-6596/2288/1/012023
Septiadi, D. D., Lestari, A. C., & Hariati, A. (2022a). The students’ strategic competence in solving mathematical literacy problems based on cognitive levels in Islamic-based schools. AIP Conference Proceedings, 2575. https://doi.org/10.1063/5.0116901
Septiadi, D. D., Lestari, A. C., & Hariati, A. (2022b). The students’ strategic competence in solving mathematical literacy problems based on cognitive levels in Islamic-based schools. 040012. https://doi.org/10.1063/5.0116901 DOI: https://doi.org/10.1063/5.0116901
Sri Wahyuning, L. D., & Nida Sri Utami. (2024). Mathematical Representation Ability-Based Mathematical Contextual Problems of Sequences and Progression Material. VYGOTSKY, 6(1), 61–70. https://doi.org/10.30736/voj.v6i1.999 DOI: https://doi.org/10.30736/voj.v6i1.999
Syafri, F. S. (2017). KEMAMPUAN REPRESENTASI MATEMATIS DAN KEMAMPUAN PEMBUKTIAN MATEMATIKA. Jurnal Edumath, 3(1), 49–55. http://ejournal.stkipmpringsewu-lpg.ac.id/index.php/edumath
Syukriani, A. (2023). Strategic Competencies of Prospective Teacher Students Based on Cognitive Style and Gender. AlphaMath : Journal of Mathematics Education, 9(1), 23. https://doi.org/10.30595/alphamath.v9i1.17202 DOI: https://doi.org/10.30595/alphamath.v9i1.17202
Syukriani, A., Juhari, A., & Beoang, I. N. (2024). KEMAMPUAN KOMUNIKASI MATEMATIS BERDASARKAN KEMAMPUAN MATEMATIKA PADA MATERI PROGRAM LINEAR. Pedagogy: Jurnal Pendidikan Matematika, 9, 363–374. https://doi.org/10.30605/pedagogy.v9i2.4964 DOI: https://doi.org/10.30605/pedagogy.v9i2.4964
Syukriani, A., Juniati, D., & Siswono, T. Y. E. (2017). Investigating adaptive reasoning and strategic competence: Difference male and female. 020033. https://doi.org/10.1063/1.4994436 DOI: https://doi.org/10.1063/1.4994436
Tadiri, C. P., Raparelli, V., Abrahamowicz, M., Kautzy-Willer, A., Kublickiene, K., Herrero, M. T., Norris, C. M., & Pilote, L. (2021). Methods for prospectively incorporating gender into health sciences research. In Journal of Clinical Epidemiology (Vol. 129, pp. 191–197). Elsevier Inc. https://doi.org/10.1016/j.jclinepi.2020.08.018 DOI: https://doi.org/10.1016/j.jclinepi.2020.08.018
Ulfah, A., Pasani, C. F., & Kamaliyah, K. (2021). PENGEMBANGAN TES FORMATIF MATEMATIKA MATERI PERSAMAAN GARIS LURUS BERBASIS HIGHER ORDER THINKING SKILL (HOTS) UNTUK SISWA SMP. EDU-MAT: Jurnal Pendidikan Matematika, 9(1), 48. https://doi.org/10.20527/edumat.v9i1.10405 DOI: https://doi.org/10.20527/edumat.v9i1.10405
Ünal, Z. E., Ala, A. M., Kartal, G., Özel, S., & Geary, D. C. (2023). Visual and symbolic representations as components of algebraic reasoning. Journal of Numerical Cognition, 9(2), 327–345. https://doi.org/10.5964/jnc.11151 DOI: https://doi.org/10.5964/jnc.11151
Zhu, X., Tang, Y., Lu, J., Song, M., Yang, C., & Zhao, X. (2025). Inhibitory Control and Mathematical Ability in Elementary School Children: A Preregistered Meta-Analysis. Educational Psychology Review, 37(1). https://doi.org/10.1007/s10648-024-09976-w DOI: https://doi.org/10.1007/s10648-024-09976-w
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