Structure of Students' Ability in Solving Mathematical Problems Based on SOLO Taxonomy
Abstract
This study aims to implement the Structure of Observed Learning Outcomes (SOLO) Taxonomy to describe the structure of students' mathematical problem-solving abilities and to explain their thinking processes regarding the problem of the System of Linear Equations with Two Variables ( SLETV). A framework to examine the structure of students' mathematical problem solving skills is essential, because their understanding of basic mathematical ideas is useful in everyday life. This research methodology uses descriptive qualitative applied to eighth grade students at SMPN 5 Malang. To determine the structure of students' skills, we collected information through interviews and responses from problem solving tests. The findings revealed that students' competencies were broken down into unistructural, multistructural, and relational levels, without students reaching a complex prestructural or abstract level. This study innovatively presents visualizations of students' problem-solving frameworks, grounded in Chick's (1998) theory. The results of the study indicate that most students are at the multistructural level, namely, they can recognize relevant information but have not achieved the ability to integrate concepts comprehensively. This study provides guidance for educators to analyze students' abilities in solving mathematical problems using an effective evaluation tool, namely using the SOLO taxonomy.
Penelitian ini bertujuan untuk mengimplementasikan Taksonomi Structure of Observed Learning Outcomes (SOLO) untuk mendeskripsikan struktur kemampuan pemecahan masalah matematika siswa dan menjelaskan proses berpikir mereka terkait masalah Sistem Persamaan Linear Dua Variabel (SLETV). Kerangka kerja untuk mengkaji struktur keterampilan pemecahan masalah matematika siswa sangat penting, karena pemahaman mereka terhadap ide-ide matematika dasar berguna dalam kehidupan sehari-hari. Metodologi penelitian ini menggunakan deskriptif kualitatif yang diterapkan pada siswa kelas delapan di SMPN 5 Malang. Untuk mengetahui struktur keterampilan siswa, kami mengumpulkan informasi melalui wawancara dan tanggapan dari tes pemecahan masalah. Temuan penelitian mengungkapkan bahwa kompetensi siswa dipecah menjadi tingkat unistruktural, multistruktural, dan relasional, tanpa siswa mencapai tingkat prastruktural atau abstrak yang kompleks. Penelitian ini secara inovatif menyajikan visualisasi kerangka kerja pemecahan masalah siswa, yang didasarkan pada teori Chick (1998). Hasil penelitian menunjukkan bahwa sebagian besar siswa berada pada tingkat multistruktural, yaitu mereka dapat mengenali informasi yang relevan tetapi belum mencapai kemampuan untuk mengintegrasikan konsep secara komprehensif. Penelitian ini memberikan panduan bagi para pendidik untuk menganalisis kemampuan siswa dalam memecahkan masalah matematika menggunakan alat evaluasi yang efektif, yaitu menggunakan taksonomi SOLO.
Full text article
References
Crossref
Azmia, S., & Soro, S. (2021). Analisis kesalahan siswa dalam menyelesaikan soal cerita materi sistem persamaan linear dua variabel ditinjau dari taksonomi solo pada siswa. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(2), 2001–2009.
Chick, H. (1998). Cognition in the formal modes: Research mathematics and the SOLO taxonomy. Mathematics Education Research Journal, 10(2), 4–26. https://doi.org/10.1007/BF03217340
Crossref
Ekawati, R., Junaedi, I., & Nugroho, S. E. (2013). Studi respon siswa dalam menyelesaikan soal pemecahan masalah matematika berdasarkan taksonomi SOLO. Unnes Journal of Mathematics Education Research, 2(2).
Fitri, A., Kurniawati, N., & Mubaroh, Z. (2021). Respon peserta didik dalam memecahkan masalah matematika berdasarkan taksonomi SOLO (Structure of Observed Learning Outcome). Majamath: Jurnal Matematika Dan Pendidikan Matematika, 4(2).
Ghunaimat, M. A., & Alawneh, E. A. (2024). The Effectiveness of Using the SOLO Taxonomy in Acquiring Students the Concepts of Coordinate Geometry. IJORER: International Journal of Recent Educational Research, 5(3), 523–536. https://doi.org/10.46245/ijorer.v5i3.592
Crossref
Halimah, H., Untu, Z., & Suriaty, S. (2020). Analisis Kemampuan Pemecahan Masalah Matematika Berdasarkan Taksonomi Structure of Observed Learning Outcomes (SOLO). Primatika: Jurnal Pendidikan Matematika, 9(1), 1–10. https://doi.org/10.30872/primatika.v9i1.245
Crossref
Hastuti, E. S., Umam, K., Eclarin, L., & Perbowo, K. S. (2021). Kecemasan Siswa Sekolah Menengah Pertama Dalam Menyelesaikan Masalah Spldv Pada Kelas Virtual. International Journal of Progressive Mathematics Education, 1(1), 63–84. https://doi.org/10.22236/ijopme.v1i1.6914
Crossref
Jupri, A., & Drijvers, P. (2016). Student Difficulties in Mathematizing Word Problems in Algebra. EURASIA Journal of Mathematics, Science and Technology Education, 12(9). https://doi.org/10.12973/eurasia.2016.1299a
Crossref
KARAHAN, M., & ERGENE, Ö. (2023). Matematik Eğitimi Alanında SOLO Taksonomisi Bağlamında Yapılan Araştırmaların Analizi: Bir Meta-Sentez Çalışması. Journal of Interdisciplinary Education: Theory and Practice, 5(2), 107–122. https://doi.org/10.47157/jietp.1386034
Crossref
Kolar, V. M., & Hodnik, T. (2021). Mathematical literacy from the perspective of solving contextual problems. European Journal of Educational Research, 10(1), 467–483. https://doi.org/10.12973/EU-JER.10.1.467
Crossref
Liu, S., & Zhang, C. (2022). Research on mathematics test questions of high school entrance examination based on the SOLO taxonomy theory: Take the 2019-2021 Jinan high school entrance examination questions as an example. 2022 12th International Conference on Information Technology in Medicine and Education (ITME), 151–155. https://doi.org/10.1109/ITME56794.2022.00041
Crossref
Mainali, B. (2020). Representation in Teaching and Learning Mathematics. International Journal of Education in Mathematics, Science and Technology, 9(1), 1–21. https://doi.org/10.46328/ijemst.1111
Crossref
Nurjanah, P., & Angraini, L. M. (2024). Analysis of Students’ Mathematical Problem-Solving in Translating Story Problems into Mathematical Models. Progressive of Cognitive and Ability, 3(4), 230–250. https://doi.org/10.56855/jpr.v3i4.1105
Crossref
Pesona, R. I., & Yunianta, T. N. H. (2018). Deskripsi kemampuan matematika siswa dalam pemecahan masalah sistem persamaan linear dua variabel berdasarkan level taksonomi solo. Jurnal Genta Mulia, 9(1).
Pongsakdi, N., Kajamies, A., Veermans, K., Lertola, K., Vauras, M., & Lehtinen, E. (2020). What makes mathematical word problem solving challenging? Exploring the roles of word problem characteristics, text comprehension, and arithmetic skills. ZDM, 52(1), 33–44. https://doi.org/10.1007/s11858-019-01118-9
Crossref
Pradini, W., & Winarsih, W. (2020). Analysis of junior high school students difficulty in solving linear equation in two variables word problem. AIP Conference Proceedings, 060021. https://doi.org/10.1063/5.0000550
Crossref
Rodgers, C. (2022). Defining reflection: Another look at John Dewey and reflective thinking. Teachers College Record, 104(4), 842–866.
Samosir, C. M., Herman, T., Prabawanto, S., Melani, R., & Mefiana, S. A. (2024). Students’ Difficulty in Understanding Problems in the Contextual Problem-Solving Process. PRISMA, 13(1), 20. https://doi.org/10.35194/jp.v13i1.3726
Crossref
Satmaz, İ., & Yabanova, U. (2024). Analysis of Türkiye Century Maarif Model Secondary School Mathematics Curriculum According to SOLO Taxonomy. Uluslararası Eğitim Programları ve Öğretim Çalışmaları Dergisi, 14(2), 195–219. https://doi.org/10.31704/ijocis.1582857
Crossref
Sriati, K., Sudi Prayitno, Nurul Hikmah, & Hayati, L. (2021). Analisis Kesalahan dalam Menyelesaikan Soal Bentuk Aljabar Ditinjau dari Taksonomi SOLO. Griya Journal of Mathematics Education and Application, 1(4), 597–609. https://doi.org/10.29303/griya.v1i4.118
Crossref
Sutini, S., Sutawidjaja, A., Parta, I. N., & Susanto, H. (2017). Identification of Critical Thinking Process in Solving Mathematic Problems. IOSR Journal of Research & Method in Education (IOSRJRME), 07(04), 05–10. https://doi.org/10.9790/7388-0704010510
Crossref
Umi, N., Purna, R., Nugroho, B., Karsoni, & Dinata, B. (2021). Pengembangan Video Pembelajaran Berbasis Pemecahan Masalah Berbantuan Adobe Captivate Materi Matriks di Sekolah Kejuruan (SMK) 3 Kota Bumi. International Journal of Progressive Mathematics Education, 1(3), 234–255. https://doi.org/10.22236/ijopme.v1i3.7689
Crossref
Yayuk, E., Purwanto, P., As’ari, A. R., & Subanji, S. (2020). Primary School Students’ Creative Thinking Skills in Mathematics Problem Solving. European Journal of Educational Research, 9(3), 1281–1295. https://doi.org/10.12973/eu-jer.9.3.1281
Crossref
Authors
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.