ANALISIS KEMAMPUAN REPRESENTASI MATEMATIS SISWA DALAM MEYELESAIKAN PEMECAHAN MASALAH OPEN – ENDED PADA MATERI TEOREMA PYTHAGORAS
DOI: https://doi.org/10.30605/s5a8j875
Kemampuan Representasi Matematis, pemecahan masalah open-ended, Teorema Pythagoras
Abstract
Kemampuan representasi matematis berperan penting dalam proses pemecahan masalah, khususnya pada soal open-ended yang menuntut fleksibilitas berpikir siswa. Penelitian ini bertujuan untuk menganalisis kemampuan representasi matematis siswa dalam menyelesaikan masalah open-ended pada materi Teorema Pythagoras. Penelitian ini menggunakan pendekatan kualitatif deskriptif. Subjek penelitian dipilih berdasarkan kategori kemampuan representasi matematis tinggi, sedang, dan rendah. Data dikumpulkan melalui tes tertulis berbentuk soal open-ended serta wawancara semi-terstruktur. Hasil penelitian menunjukkan bahwa terdapat perbedaan karakteristik representasi matematis pada setiap kategori kemampuan. Siswa dengan kemampuan tinggi mampu mengintegrasikan representasi verbal, visual, dan simbolik secara tepat dan fleksibel. Siswa kategori sedang mampu menggunakan representasi verbal dengan cukup baik, namun masih mengalami kesulitan dalam konsistensi representasi visual dan simbolik. Sementara itu, siswa kategori rendah belum mampu mengonstruksi representasi matematis secara sistematis dan mengalami kesulitan dalam mentransformasikan permasalahan ke dalam model matematika. Temuan ini menunjukkan bahwa tingkat kemampuan dasar siswa memengaruhi kualitas dan kelengkapan representasi matematis yang digunakan dalam pemecahan masalah open-ended pada materi Teorema Pythagoras.
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Amalina, S. V., & Ekawati, R. (2020). Profile of Open-Ended Problem Solving Based on Polya’S Steps Viewed From Mathematical Ability Level of Junior High School Students. MATHEdunesa, 9(2), 402–411. https://doi.org/10.26740/mathedunesa.v9n2.p402-411
Lestari, D. P., & Palupi, E. L. W. (2023). Representasi Matematis Siswa dalam Menyelesaikan Masalah Teorema Pythagoras berdasarkan Tahapan Polya Ditinjau dari Perbedaan Gender. MATHEdunesa, 12(2), 588–610. https://doi.org/10.26740/mathedunesa.v12n2.p588-610
Rahayuningsih, S., Sirajuddin, S., & Ikram, M. (2021). Using open-ended problem-solving tests to identify students’ mathematical creative thinking ability. Participatory Educational Research, 8(3), 285–299. https://doi.org/10.17275/per.21.66.8.3
Ramanisa, H., Khairudin, K., & Netti, S. (2020). Analisis Kemampuan Representasi Matematis Siswa. Jurnal Magister Pendidikan Matematika (JUMADIKA), 2(1), 34–38.
Ridho, M. H., Mulyaning, A., & Dahlan, E. C. (2023). Analysis of Students’ Mathematical Representation Ability in Phythagoras Theorem in Junior High School. International Conference on Studies in Education and Social Sciences, 11–23. www.istes.orghttps://orcid.org/0009-0003-9812-6989https://orcid.org/0009-0009-8495-7873https://orcid.org/0000-0002-9290-7755
S, A. T., SNYDER, C., AKPANOKO, C. E., P, S. M., & BISWAS, G. (2024). Combining Multimodal Analyses of Students’ Emotional and Cognitive States to Understand Their Learning Behaviors. International Conference on Computers in Education. https://doi.org/10.58459/icce.2024.4854
Saputra, A. W., Nasution, M. D. C., Fauziah, E. M., Widayanti, L., Aldila, A. D., & Hakim, A. R. (2022). Menumbuhkembangkan Kemampuan Representasi Matematis Siswa dalam Pembelajaran Matematika. Jurnal Ilmiah Mahasiswa Pendidikan Matematika, 2(1), 49–60.
Schoenherr, J., Strohmaier, A. R., & Schukajlow, S. (2024). Learning with visualizations helps: A meta-analysis of visualization interventions in mathematics education. Educational Research Review, 45(September), 100639. https://doi.org/10.1016/j.edurev.2024.100639
Sugiyono. (2023). Penelitian Kuantitaif,kualitatif, dan R&D (Edisi Kedu). ALFABETA, cv.
Tarigan, M. S., Azis, Z., & Nasution, M. D. (2022). Improved Mathematical Representation of Students With The Open-Ended Approach Article Info ABSTRACT. Journal of Mathematics Education and Application (JMEA), 1(3), 130–134. http://dx.doi.org/10.30596%2Fjmea.v1i3.12096
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