ANALISIS KEMAMPUAN PENALARAN MATEMATIS SISWA DITINJAU DARI KEMAMPUAN AWAL

Mohamad Salam(1*), Hasnawati Hasnawati(2), Ida Ayu Putri Andini(3), Suhar Suhar(4), Lambertus Lambertus(5),

(1) Universitas Halu Oleo
(2) Universitas Halu Oleo
(3) Universitas Halu Oleo
(4) Universitas Halu Oleo
(5) Universitas Halu Oleo
(*) Corresponding Author


Abstract


Mathematical reasoning is a systematic thinking process based on mathematical logic in solving problems that affect the creation of logical decisions based on the knowledge that students already have. This study aims to analyze students' mathematical reasoning abilities based on initial abilities. The method used is qualitative with a descriptive approach using triangulation techniques. The research subjects were class VIIIB students of SMP Negeri 15 Konawe Selatan consisting of 3 students who were selected from 25 students based on their initial abilities. Data collection techniques through written tests and interviews. The results obtained are: (1) students who have high initial abilities meet all indicators of mathematical reasoning, namely making conjectures (P1), doing mathematical manipulation (P2), compiling evidence (P3), making conclusions (P4), and checking the validity of arguments (P5, (2) students who have early abilities are fulfilling some indicators of mathematical reasoning, namely P1, P2, and some P3, and (3) students who have low initial ability meet the P1 and P2 mathematical reasoning indicators. These results indicate that different initial abilities have different mathematical reasoning.


Keywords


Initial ability; Linear Equations, Mathematical Reasoning

References


Abidin, Z., Utomo, A. C., Pratiwi, V., & Farokhah, L. (2020). Project-Based Learning - Literacy In Improving Students’ Mathematical Reasoning Abilities In Elementary Schools. JMIE (Journal of Madrasah Ibtidaiyah Education), 4(1), 39–52. https://doi.org/10.32934/jmie.v4i1.170

Ardiansyah, A., Wahyuningrum, E., & Rumanta, M. (2022). Pengaruh Problem Based Learning terhadap Kemampuan Penalaran Matematik dan Korelasinya dengan Kemampuan Awal Siswa SMP. Mosharafa: Jurnal Pendidikan Matematika, 11(3). https://doi.org/10.31980/mosharafa.v11i3.1498

Arum Nissa, A. D., & Mahmudi, A. (2022). Analisis Kemampuan Penalaran Aljabar Siswa Dengan Model Pembelajaran Masalah (PBL) Dalam Menyelesaikan Masalah Matematika. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(2), 1400–1410. https://doi.org/10.24127/ajpm.v11i2.4835

Ayal, C. S., Kesuma, Y. S., Sabandar, J., & Dahlan, J. A. (2016). The enhancement of mathematical reasoning ability of junior high school students by applying mind mapping strategy. Journal of Education and Practice, 7(25), 50–58.

Biagioli, F. (2020). Ernst Cassirer’s transcendental account of mathematical reasoning. Studies in History and Philosophy of Science Part A, 79, 30–40. https://doi.org/10.1016/j.shpsa.2019.10.001

Davidson, A., Herbert, S., & Bragg, L. A. (2019). Supporting Elementary Teachers’ Planning and Assessing of Mathematical Reasoning. International Journal of Science and Mathematics Education, 17(6), 1151–1171. https://doi.org/10.1007/s10763-018-9904-0

Dewi, N. P. W. P., & Agustika, G. N. S. (2020). Efektivitas Pembelajaran Matematika Melalui Pendekatan Pmri Terhadap Kompetensi Pengetahuan Matematika. Jurnal Penelitian Dan Pengembangan Pendidikan, 4(2), 204–214. https://doi.org/10.23887/jppp.v4i2.26781

Fatimah M, W. O., Kadir, K., & Salam, M. (2021). Analisis Kemampuan Penalaran Matematis Siswa Kelas VII MTs Negeri 1 Kendari Ditinjau Dari Kecemasan Matematika. Jurnal Pembelajaran Berpikir Matematika (Journal of Mathematics Thinking Learning), 6(2), 145–163. https://doi.org/10.33772/jpbm.v6i2.21458

Hasanah, S. I., Tafrilyanto, C. F., & Aini, Y. (2019). Mathematical Reasoning: The characteristics of students’ mathematical abilities in problem solving. Journal of Physics: Conference Series, 1188(1), 1–8. https://doi.org/10.1088/1742-6596/1188/1/012057

Juniawan, E. A. (2020). Pengaruh Strategi Metakognitif Dan Kemampuan Awal Terhadap Kemampuan Penalaran Matematis Siswa. Pasundan Journal of Mathematics Education : Jurnal Pendidikan Matematika, 10(1), 51–65. https://doi.org/10.23969/pjme.v10i1.2423

Lestari, M., Subanji, S., & Irawati, S. (2022). Analisis Kemampuan Analisis Kemampuan Penalaran Matematis Siswa Sma Pada Materi Matriks. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(1), 550–562. https://doi.org/10.24127/ajpm.v11i1.4577

Lestari, S. A. P. (2019). Mathematical reasoning ability in relations and function using the problem solving approach. Journal of Physics: Conference Series, 1188(1), 1–6. https://doi.org/10.1088/1742-6596/1188/1/012065

Melhuish, K., Thanheiser, E., & Guyot, L. (2020). Elementary school teachers’ noticing of essential mathematical reasoning forms: justification and generalization. Journal of Mathematics Teacher Education, 23(1), 35–67. https://doi.org/10.1007/s10857-018-9408-4

Nabahan, S. A. (2020). Analisis Kemampuan Penalaran Matematis Siswa Melalui Model Problem Based Learning. JISIP (Jurnal Ilmu Sosial Dan Pendidikan), 4(3), 6–12.

Noviarsyh Dasaprawira, M., Zulkardi, & Susanti, E. (2019). Developing mathematics questions of Pisa type using Bangka context. Journal on Mathematics Education, 10(2), 303–314. https://doi.org/10.22342/jme.10.2.5366.303-314

Nuriadin. (2021). Analysis of Students Mathematical Reasoning Abilities on Number Topics. Psychology and Education Journal, 58(1), 4750–4755.

Nurmala, R., Samparadja, H., & Salam, M. (2019). Pengaruh Model Discovery Learning Terhadap Kemampuan Penalaran Matematis Siswa Kelas Vii Smp Negeri 3 Kendari. Jurnal Penelitian Pendidikan Matematika, 6(1), 141–154. https://doi.org/10.36709/jppm.v6i1.7406

Öztürk, M., & Sarikaya, İ. (2021). The relationship between the mathematical reasoning skills and video game addiction of Turkish middle schools students: A serial mediator model. Thinking Skills and Creativity, 40, 843–855. https://doi.org/10.1016/j.tsc.2021.100843

Palinussa, A. L., & Dias, T. (2022). Students’ Mathematical Reasoning Ability On The Circle Concept. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(4), 3008–3018. https://doi.org/10.24127/ajpm.v11i4.5993

Payadnya, I. P. A. A. (2019). Investigation of students’ mathematical reasoning ability in solving open-ended problems. Journal of Physics: Conference Series, 1200(1), 1–9. https://doi.org/10.1088/1742-6596/1200/1/012016

Permatasari, R., Putri, R. I. I., & Zulkardi. (2018). PiSA-like: Football context in Asian games. Journal on Mathematics Education, 9(2), 271–280. https://doi.org/10.22342/jme.9.2.5251.271-280

Psycharis, S., & Kallia, M. (2017). The effects of computer programming on high school students’ reasoning skills and mathematical self-efficacy and problem solving. Instructional Science, 45(5), 583–602. https://doi.org/10.1007/s11251-017-9421-5

Raharjo, S., Saleh, H., & Sawitri, D. (2020). Analisis Kemampuan Penalaran Matematis Siswa dengan Pendekatan Open–Ended dalam Pembelajaran Matematika. Paedagoria: Jurnal Kajian, Penelitian Dan Pengembangan Kependidikan, 11(1), 36–43.

Rahmawati, S., & Putri, R. I. I. (2022). Penalaran Matematis Siswa Dalam Pembelajaran Fungsi Kuadrat Menggunakan Pmri Dan Collaborative Learning Berbantu Media Video. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(1), 577–588. https://doi.org/10.24127/ajpm.v11i1.4622

Salam, M., Ibrahim, N., & Sukardjo, M. (2019). Effects of instructional models and spatial intelligence on the mathematics learning outcomes after controlling for students’ initial competency. International Journal of Instruction, 12(3), 699–716. https://doi.org/10.29333/iji.2019.12342a

Salam, M., & Salim, S. (2020). Analysis of Mathematical Reasoning Ability (MRA) with the Discovery Learning Model in Gender issues. Journal of Educational Science and Technology (EST), 6(2), 137–150. https://doi.org/10.26858/est.v6i2.13211

Sukirwan, Darhim, D., & Herman, T. (2018). Analysis of students’ mathematical reasoning. Journal of Physics: Conference Series, 948(1), 1–7. https://doi.org/10.1088/1742-6596/948/1/012036

Sumardi, S., & Amalia, I. (2022). Analisis Kemampuan Penalaran Matematis Dalam Menyelesaikan Soal Literasi Matematika Ditinjau Dari Gaya Kognitif Siswa. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(3), 2296–2305. https://doi.org/10.24127/ajpm.v11i3.5286

Walter, D., Lou, C., & James, C. (2015). The Systematic Design of The Systematic Instruction. Zlibrary, 1(1), 67–67.

Wijaya, A. (2016). Students’ information literacy: A perspective from mathematical literacy. Journal on Mathematics Education, 7(2), 73–82. https://doi.org/10.22342/jome.v7i2.3532

Yelvalinda, Y., Pujiastuti, H., & Fatah, A. (2019). Pengaruh Model Pembelajaran Problem Based Learning terhadap Pemahaman Matematis Ditinjau dari Kemampuan Awal Matematika. Edumatica : Jurnal Pendidikan Matematika, 9(1), 23–32. https://doi.org/10.22437/edumatica.v9i1.6108




DOI: http://dx.doi.org/10.24127/ajpm.v12i2.7448

Refbacks

  • There are currently no refbacks.