Model Diskursus Multi Representasi sebagai Strategi Pengembangan Kemampuan Pemecahan Masalah Matematika Siswa Sekolah Dasar

Authors

  • Abdul Qhadir Universitas Islam Negeri Kiai Haji Achmad Siddiq Jember
  • St Mislikhah Universitas Islam Negeri Kiai Haji Achmad Siddiq Jember
  • Abd Muhith Universitas Islam Negeri Kiai Haji Achmad Siddiq Jember

DOI:

https://doi.org/10.47766/itqan.v17i1.7569

Keywords:

Discourse Multi Representation, Mathematical Discourse, Mathematical Problem Solving, Pólya

Abstract

Mathematical problem-solving is a core competency in elementary mathematics, yet many students still struggle to understand problems, select appropriate strategies, and evaluate solutions. Although the Discourse Multi Representation (DMR) model has been shown to improve mathematics learning outcomes, limited research has explained how it facilitates students' problem-solving processes. This study investigates the implementation of the DMR model and its role in developing mathematical problem-solving skills based on Pólya's problem-solving stages. A qualitative case study was conducted at MIN 3 Jember involving school leaders, a classroom teacher, and Grade III students. Data were collected through classroom observations, semi-structured interviews, and document analysis, then analyzed using the interactive model of Saldaña. The findings reveal that DMR enhances problem-solving by integrating three complementary elements: multiple mathematical representations, collaborative mathematical discourse, and the systematic application of Pólya's stages. Students developed stronger conceptual understanding by connecting verbal, symbolic, visual, and contextual representations while collaboratively constructing solution strategies. The effectiveness of the model was supported by teacher facilitation, productive classroom discourse, student participation, and school support. This study proposes a Conceptual Model of Discourse Multi Representation, demonstrating that mathematical problem-solving develops through the integration of representation, discourse, and structured problem-solving processes in elementary mathematics learning.

Downloads

Download data is not yet available.

References

Ainsworth, S. (2006). DeFT: A Conceptual Framework for Considering Learning with Multiple Representations. Learning and Instruction, 16(3), 183–198. https://doi.org/10.1016/j.learninstruc.2006.03.001.

Ainsworth, S., Bibby, P., & Wood, D. (2002). Examining the Effects of Different Multiple Representational Systems in Learning Primary Mathematics. Journal of the Learning Sciences, 11(1), 25–61. https://doi.org/10.1207/S15327809JLS1101_2 .

Barzilai, S., Zohar, A. R., & Mor-Hagani, S. (2018). Promoting Integration of Multiple Texts: A Review of Instructional Approaches and Practices. Educational psychology review, 30(3), 973-999. https://doi.org/10.1007/s10648-018-9436-8.

Brahier, D., Leinwand, S., & Huinker, D. (2014). Principles to Actions: Mathematics Programs as the Core for Student Learning. MatheMatics Teacher, 107(9), 656-658. https://doi.org/10.5951/mathteacher.107.9.0656.

Fadli, M. R. (2021). Memahami Desain Metode Penelitian Kualitatif. Humanika: Kajian Ilmiah Mata Kuliah Umum, 21(1), 33–54. https://doi.org/10.21831/hum.v21i1.38075.

Fahri, L. M., & Qusyairi, L. A. H. (2019). Interaksi Sosial dalam Proses Pembelajaran. Palapa, 7(1), 149-166. https://doi.org/10.36088/palapa.v7i1.194.

Fullan, M. (2020). Leading in a Culture of Change (2nd ed.). Jossey-Bass.

Jitendra, A. K., Dougherty, B., Sanchez, V., & Suchilt, L. (2024). Using multiple Representations to Foster Multiplicative Reasoning in Students with Mathematics Learning Disabilities. TEACHING Exceptional Children, 57(2), 116-124. https://doi.org/10.1177/00400599221115627.

OECD. (2023). PISA 2022 Results (Volume I): The State of Learning and Equity in Education. OECD Publishing. https://doi.org/10.1787/53f23881-en.

Pólya, G. (1945). How to Solve It: A New Aspect of Mathematical Method. Princeton University Press.

Piaget, J. (1970). Science of education and the psychology of the child. Viking Press.

Rau, M. A. (2017). Conditions for Effectiveness of Multiple Visual Representations. Journal of Educational Psychology, 114(2), 717–761. https://doi.org/10.1007/s10648-016-9365-3.

Saldaña, J. (2021). The Coding Manual for Qualitative Researchers (4th ed.). SAGE Publications.

Saunders, B., Sim, J., Kingstone, T., Baker, S., Waterfield, J., Bartlam, B., Burroughs, H., & Jinks, C. (2018). Saturation in Qualitative Research: Exploring Its Conceptualization and Operationalization. Quality & Quantity, 52(4), 1893–1907. https://doi.org/10.1007/s11135-017-0574-8.

Sugiyono. (2022). Metode Penelitian Kualitatif (Edisi ke-3). Bandung: Alfabeta.

Vygotsky, L. S. (1978). Mind in Society: The Development of Higher Psychological Processes. Harvard University Press.

Yin, R. K. (2023). Case Study Research and Applications: Design and Methods (7th ed.). SAGE Publications.

Downloads

Published

2026-06-30

How to Cite

Qhadir, A., Mislikhah, S., & Muhith, A. (2026). Model Diskursus Multi Representasi sebagai Strategi Pengembangan Kemampuan Pemecahan Masalah Matematika Siswa Sekolah Dasar. Itqan: Jurnal Ilmu-Ilmu Kependidikan, 17(1), 147–163. https://doi.org/10.47766/itqan.v17i1.7569