Penalaran aljabar siswa dalam menyelesaikan soal sistem pertidaksamaan linear dua variabel
Abstract
Mathematics has an important role in developing the ability to think critically, logically, systematically, and creatively. One of the skills that support mastery of mathematics is algebraic reasoning. This study aims to describe students' algebraic reasoning in solving two-variable linear inequality system problems based on three aspects according to Van de Walle, namely generalization, symbolic representation, and relationship exploration. This study used a descriptive qualitative approach with data collection techniques in the form of observation, document analysis, and interviews with two subjects. The results showed that both subjects were able to present mathematical models and draw SPtLDV graphs, although there were deficiencies in compiling tabular representations; and stating complete variable boundaries. In the relationship exploration aspect, the subjects determined the solution point from the graph, but only one subject realized the substitution alternative after being given a stimulus. Meanwhile, generalization ability was still limited because the conclusions drawn did not cover all the information in the problem. These findings indicate the need for emphasis on developing generalization ability and symbolic reflection in mathematics learning.
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References
Al Farabi, M., Masamah, U., & Rofiki, I. (2025). Pengembangan Instrumen Tes Kemampuan Berpikir Visual Spasial Berbasis Pola Batik Ceplok-Ceplok Jatipelem Jombang. Jurnal Riset Pendidikan Dan Inovasi Pembelajaran Matematika , 8 (2), 151-166. Https://Doi.Org/10.26740/Jrpipm.V8n2.P151-166, n.d.
Arianti, P. D., Rifqy, M. I., & Masamah, U. (2025). Flexibility of mathematical thinking in solving hots problems on number operation material in terms of gender. International Journal of Multicultural and Multireligious Understanding, 12(7), 328-337. https://repository.uin-malang.ac.id/24164/
Astuti, L. T., & Rif’at, M. (2016). Kemampuan Representasi Matematis Siswa melalui Pembelajaran Berbasis Masalah di Sekolah Menengah Atas. Jurnal Pendidikan Dan Pembelajaran Khatulistiwa (JPPK), 4(7). https://doi.org/10.26418/jppk.v4i7.10754
Ilmi, L. R., & Abdussakir, A. (2024, April). Analysis of students algebraic reasoning levels in solving PISA model problems in view of adversity quotient. https://repository.uin-malang.ac.id/23468/
Keller, B. A., Hart, E. W., & Martin, W. G. (2001). Illuminating NCTM's principles and standards for school mathematics. School Science and Mathematics, 101(6), 292-304. https://doi.org/10.1111/j.1949-8594.2001.tb17960.x
Nahdi, D. S. (2019). Keterampilan matematika di abad 21. Jurnal cakrawala pendas, 5(2), 456195. https://doi.org/10.31949/jcp.v5i2.1386
NCTM. (2004). A Journey in Algebraic Thinking. September, 2004.
Principles, N. C. T. M. (2000). Standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
Van de Walle, J. A., Karp, K., & Bay-Williams, J. M. (2013). Elementary and middle school mathematics. pearson,.
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