ANALISIS FLEKSIBILITAS REPRESENTASI MATEMATIS SISWA DALAM MENYELESAIKAN SOAL HIMPUNAN DITINJAU DARI GAYA BELAJAR KOLB
Abstract
The ability to flexibly use mathematical representations is a crucial aspect of mathematics learning, particularly in solving problems through intra- and inter-representational transformations. However, the influence of learning styles on representational flexibility remains underexplored. This study aims to analyze students' mathematical representational flexibility in solving set problems based on Kolb's learning styles (Accommodator, Assimilator, Diverger, and Converger). A descriptive qualitative approach was employed, involving 12 eighth-grade students selected through a Kolb learning style questionnaire. Data were collected using a mathematical representation flexibility test, semi-structured interviews, and documentation. The research instruments included test sheets and interview guidelines, analyzed using the Miles and Huberman model. The findings revealed that Accommodator students excel in recognition and treatment but are limited in conversion, while Assimilator students demonstrate high flexibility in conversion. Diverger students are strong in recognition, whereas Converger students show excellent initial visualization but need reinforcement in treatment. Teachers are encouraged to implement learning strategies tailored to student's learning styles to enhance their representational flexibility. Future research should explore other mathematical topics or different educational levels.
Keywords
Full Text:
PDFArticle Metrics :
References
Acevedo Nistal, A., Van Dooren, W., Clarebout, G., Elen, J., & Verschaffel, L. (2009). Conceptualising, Investigating, And Stimulating Representational Flexibility in Mathematical Problem Solving and Learning: a Critical Review. ZDM—The International Journal of Mathematics Education, 41(1), 627–636. https://doi.org/10.1007/s11858-009-0189-
Acevedo Nistal, A., Van Dooren, W., & Verschaffel, L. (2012). What Counts as a Flexible Representational Choice? an Evaluation of Students’ Representational Choices to Solve Linear Function Problems. Instructional Science, 40, 999–1019. https://doi.org/10.1007/
Acevedo Nistal, A., Van Dooren, W., & Verschaffel, L. (2014). Improving Students’ Representational Flexibility in Linear-Function Problems: An Intervention. Educational Psychology, 34(6), 763–786. https://doi.org/10.1080/01443410.2013.785064
Agustiningtyas, I. T., Trapsilasiwi, D., Yudianto, E., Fatahillah, A., & Oktavianingtyas, E. (2023). Kemampuan Representasi Matematis Siswa dalam Menyelesaikan Masalah Matematika Ditinjau dari Gaya Kognitif Field Dependent dan Field Independent. Jurnal Riset Pendidikan Dan Inovasi Pembelajaran Matematika (JRPIPM), 6(2), 187–198. https://doi.org/10.26740/jrpipm.v6n2.p187-198
Akbar, F., Waluya, B., & Susilo, B. (2023). Kemampuan Representasi Matematis pada Model Pembelajaran Problem Based Learning Pendekatan STEAM Ditinjau dari Gaya Belajar Siswa. Euclid, 10(4), 606–620. https://doi.org/10.33603/zz987p21
Amalia, S. R., Purwaningsih, D., Widodo, A. N. A., & Fasha, E. F. (2020). Model Problem Based Learning Berbantuan Geogebra dan Model Realistic Mathematics Education terhadap Representasi Matematis Siswa Ditinjau dari Gaya Kognitif. Jurnal Elemen, 6(2), 157–166. http://e-journal.hamzanwadi.ac.id/index.php/jel
Azizah, L. N., Junaedi, I., & Suhito, S. (2019). Kemampuan Representasi Matematis Ditinjau dari Gaya Kognitif Siswa Kelas X pada Pembelajaran Matematika dengan Model Problem Based Learning. In PRISMA, Prosiding Seminar Nasional Matematika, 2, 355–365. https://journal.unnes.ac.id/sju/prisma/article/download/28952/12663
Dahlan, J. A., & Juandi, D. (2011). Analisis Representasi Matematik Siswa Sekolah Dasar dalam Penyelesaian Masalah Matematika Kontekstual. Jurnal Pengajaran Matematika Dan Ilmu Pengetahuan Alam, 16(1), 128–138. https://ejournal.upi.edu/index.php/jpmipa/article/view/36003
Deliyianni, E., Gagatsis, A., Elia, I., & Panaoura, A. (2015). Representational Flexibility and Problem-Solving Ability in Fraction and Decimal Number Addition: A Structural model. International Journal of Science and Mathematics Education, 14, 397–417. https://doi.org/10.1007/s10763-015-9625-6
Duval, R. (2002). The Cognitive Analysis of Problems of Comprehension in the Learning of Mathematics. Mediterranean Journal for Research in Mathematics Education, 1(2), 1Y16.
Fajriah, N., Utami, C., & Mariyam, M. (2020). Analisis Kemampuan Representasi Matematis Siswa pada Materi Statistika. Journal of Educational Review and Research, 3(1), 14–24. https://journal.stkipsingkawang.ac.id/index.php/JERR/article/view/2024
Fatri, F. F., Maison, M., & Syaiful, S. (2019). Kemampuan Representasi Matematis Siswa Kelas VIII SMP Ditinjau dari Gaya Kognitif Visualizer dan Verbalizer. Jurnal Didaktik Matematika, 6(2), 98–111. https://doi.org/10.24815/jdm.v
Gagatsis, A., Deliyianni, E., Elia, I., & Panaoura, A. (2011). Explorer la flexibilité: le cas du domaine numérique. Annales de Didactique et de Sciences Cognitives, 16, 25–44.
Gagatsis, A., Elia, I., & Mousoulides, N. (2006). Are Registers of Representations and Problem Solving Processes on Functions Compartmentalized in Students’ Thinking? Revista Latinoamericana de Investigación En Matemática Educativa, RELIME, 197–224.
Gagatsis, A., & Shiakalli, M. (2004). Ability to Translate From One Representation of the Concept of Function to Another and Mathematical Problem Solving. Educational Psychology, 24(5), 645– 657. https://doi.org/10.1080/0144341042000262953
Goldin, G. (2003). Representation in School Mathematics: A Unifying Research Perspective. A research companion to principles and standards for school mathematics, 275-285.
Greer, B. (2009). Representational Flexibility and Mathematical Expertise. ZDM, 41, 697–702. https://doi.org/10.1007/s11858-009-0211-7
Hardianti, S. R., & Effendi, K. N. S. (2021). Analisis Kemampuan Representasi Matematis Siswa SMA Kelas XI. JPMI (Jurnal Pembelajaran Matematika Inovatif), 4(5), 1093–1104. http://journal.ikipsiliwangi.ac.id/index.php/jpmi/article/view/7314
Heinze, A., Star, J. R., & Verschaffel, L. (2009). Flexible and Adaptive Use of Strategies and Representations in Mathematics Education. ZDM, 41, 535–540. https://doi.org/10.1007/s11858-009-0214-4
Hidayat, A. F. (2020). Representasi Siswa Visual, Auditori dan Kinestetik dalam Menyelesaikan Masalah Matematika. PHI: Jurnal Pendidikan Matematika, 4(2), 74-84, 4, 74–84.
Hudiono, B. (2005). Peran Pembelajaran Diskursus Multi Representasi Terhadap Pengembangan Kemampuan Matematik dan Daya Representasi pada Siswa SLTP. Bandung : Disertasi UPI.
Jones, A. D. (2000). The Fifth Process Standard: an Argument to Include Representation in Standar 2000. [On-Line]. available: http://www.math.umd.edu/~dac/650/jonespaper.html.
Knisley, J. (2001). A four-Stage Model of Mathematical Learning. The Mathematics Educator, 12(1). https://openjournals.libs.uga.edu/tme/article/download/1833/1741
Kolb, D. A. (2014). Experiential learning: Experience as the Source of Learning and Development. FT press. https://books.google.com/books?hl=id&lr=&id=jpbeBQAAQBAJ&oi=fnd&pg=PR7&dq=Kolb,D.A.+(2014).+Experiential+learning:+Experience+as+the+Source+of+Learning+and+Development.+FT+press.+&ots=Vp5QpV0-Qi&sig=dBBr4edMNHsIEC9K9MArhXYPt9Q
Lesh, R., Post, T., & Behr, M. (1987). Representations and Tanslations Among Representations in Mathematics Learning and Problem Solving. In C. Janvier (ed.): Problems of Representation in the Teaching and Learning of Mathematics. Hillsdale, N.J.: Lawrence Erlbaum Associates.
Marifah, W. N., Rufiana, I. S., & Wahyudi, W. (2020). Analisis Kemampuan Representasi Visual Siswa pada Materi Pengolahan Data Ditinjau dari Gaya Belajar VAK. J-PiMat: Jurnal Pendidikan Matematika, 2(2), 175–186. http://eprints.umpo.ac.id/11644/
NCTM (National Council of Teacher of Mathematics). (2000). Principles and Standards for School Mathematics. Reston, VA: NCTM.
Nurhayati, E., & Subekti, F. E. (2017). Deskripsi Kemampuan Penalaran Matematis Siswa Ditinjau dari Gaya Belajar dan Gender. AlphaMath: Journal of Mathematics Education, 3(1), 66–78. http://jurnalnasional.ump.ac.id/index.php/alphamath/article/view/1935/1564.
Priana, V. D., Suwanti, V., & Sumadji, S. (2023). Analisis Kemampuan Translasi Representasi Siswa dalam Pemecahan Masalah berdasarkan Gaya Belajar David Kolb. RAINSTEK: Jurnal Terapan Sains & Teknologi, 5(2), 134-145.
Ramadhana, B. R., Prayitno, S., Wulandari, N. P., & Subarinah, S. (2022). Analisis Kemampuan Representasi Matematis pada Materi Barisan dan Deret Berdasarkan Gaya Belajar. Jurnal Riset Pendidikan Matematika Jakarta, 4(1), 46-59, 4(1), 46–59.
Rangkuti, A. N. (2014). Representasi Matematis. Forum Paedagogik, 6(1). https://jurnal.uinsyahada.ac.id/index.php/JP/article/view/168
Sabirin, M. (2014). Representasi dalam Pembelajaran Matematika. Jurnal Pendidikan Matematika, 33–44. https://jurnal.uin-antasari.ac.id/index.php/jpm/article/view/49
Sanjaya, I. I., Maharani, H. R., & Basir, M. A. (2018). Kemampuan Representasi Matematis Siswa pada Materi Lingkaran Berdasar Gaya Belajar Honey Mumfrod. Kontinu: Jurnal Penelitian Didaktik Matematika, 2(1), 72–87. https://jurnal.unissula.ac.id/index.php/mtk/article/view/4076
Syafri, F. S. (2017). Kemampuan Representasi Matematis dan Kemampuan Pembuktian Matematika. JURNAL E-DuMath, 3(1). http://ejournal.umpri.ac.id/index.php/edumath/article/view/283