A COMPARATIVE STUDY OF STUDENT"™S MATHEMATICAL REPRESENTATION ABILITY USING JIGSAW VS STUDENT FACILITATOR AND EXPLAINING
DOI:
https://doi.org/10.26418/jpmipa.v16i1.74311Keywords:
Jigsaw, Mathematical Representation Ability, Student Facilitator and ExplainingAbstract
One of the most important skills in mathematics is mathematical representation, which is the ability to develop and represent mathematical concepts in symbols. However, most students have difficulties in developing mathematical ideas in this form. This research aims to improve students"™ mathematical representation ability by using the jigsaw learning model and the student facilitator and explaining learning model. The two learning models are compared to see which is more effective in increasing students"™ mathematical representation skills. This research is a quasi-experimental method performed at a senior high school in Deli Serdang Regency, North Sumatra Province. A random sampling technique was used and two groups were compared, with the experimental group-1 treated with the jigsaw learning model and the experimental group-2 with the student facilitator and explaining learning model. Data collection techniques include interviews, observation, and tests as the instruments. An Independent t-test sample was used in data processing and analysis. The research findings identified that the students of the jigsaw learning model have a significantly higher mathematical representation ability compared to those of the facilitator and explaining learning model. Based on this finding, it is concluded that the jigsaw learning model is more effective in developing and representing mathematical ideas in symbols.References
Abed, A. Z., Sameer, S. A., Kasim, M. A., & Othman, A. T. (2019). Predicting Effect Implementing the Jigsaw Strategy on the Academic Achievement of Students in Mathematics Classes. International Electronic Journal of Mathematics Education, 15(1), em0558. https://doi.org/10.29333/iejme/5940
Anggaraini, D., & Kartini, K. (2021). Analysis of Mathematical Representation Ability on Assemblage Material for Junior High School Students. Jurnal Pendidikan Matematika dan IPA, 13(1), 127–140. http://dx.doi.org/10.26418/jpmipa.v13i1.48061
Arikunto, S. (2013). Manajemen Penelitian. Bandung: Rineka Cipta.
Aydin, A., & Biyikli, F. (2017). the Effect of Jigsaw Technique on the Students’ Laboratory Material Recognition and Usage Skills in General Physics Laboratory-I Course. Universal Journal of Educational Research, 5(7), 1073–1082. https://doi.org/10.13189/ujer.2017.050701
Baroody, A. J., Clements, D. H., & Sarama, J. (2019). Teaching and Learning Mathematics in Early Childhood Programs. Handbook of Early Childhood Care and Education, 1, 329–353.
Elmagustilla, S. R., & Masrukan, M. (2021). Mathematical Representation Ability on Geometry Material Viewed from Interest for Learning in Jigsaw Cooperative Learning Performance Assessment. Unnes Journal of Mathematics Education, 10(2), 135–143. https://doi.org/10.15294/ujme.v10i2.33660
Fashihah, F., & Qohar, A. (2020). Analysis of Mathematical Representation Process Standard in learning Mathematics on Relation Material. Formatif: Jurnal Ilmiah Pendidikan MIPA, 10(2). http://dx.doi.org/10.30998/formatif.v10i2.5259
Gravemeijer, K., Stephan, M., Julie, C., Lin, F.-L., & Ohtani, M. (2017). What Mathematics Education May Prepare Students for the Society of The Future? International Journal of Science and Mathematics Education, 15, 105–123. 10.1007/s10763-017-9814-6
Hansson, S. O. (2020). Technology and Mathematics. Philosophy & Technology, 33(1), 117–139. https://doi.org/10.1007/s13347-019-00348-9
Harper, N. W., & Daane, C. J. (1998). Causes and Reduction of Math Anxiety in Preservice Elementary Teachers. Action in Teacher Education, 19(4), 29–38. https://doi.org/10.1080/01626620.1998.10462889
Hasratuddin. (2015). Mengapa Harus Belajar Matematika?. Medan: Perdana Publishing.
Hidajat, F. A. (2022). Buku Ajar Pengembangan Berpikir Tingkat Tinggi dan Berpikir Kreatif Matematis. Penerbit NEM.
Huda, M. (2014). Model-model Pengajaran dan Pembelajaran Isu-Isu Metodis dan Paradigmatis. Pustaka Pelajar.
Johnson, D. W. (1994). Cooperative learning in the classroom. ERIC.
Kislenko, K., Grevholm, B., & Lepik, M. (2007). Mathematics is Important but Boring: Students’ Beliefs and Attitudes Towards Mathematics. Nordic Conference on Mathematics Education: 02/09/2005-06/09/2005, 349–360.
Kossybayeva, U., Shaldykova, B., Akhmanova, D., & Kulanina, S. (2022). Improving Teaching in Different Disciplines of Natural Science and Mathematics with Innovative Technologies. Education and Information Technologies, 27(6), 7869–7891. https://doi.org/10.1007/s10639-022-10955-3
Lestari Eka, K., & Yudhanegara Ridwan, M. (2017). Penelitian Pendidikan Matematika. Bandung: Refika Aditama.
Mainali, B. (2021). Representation in Teaching and Learning Mathematics. International Journal of Education in Mathematics, Science and Technology, 9(1), 1-21.
Moyer-Packenham, P. S., Roxburgh, A. L., Litster, K., & Kozlowski, J. S. (2022). Relationships between Semiotic Representational Transformations and Performance Outcomes in Digital Math Games. Technology, Knowledge and Learning, 1–31. https://doi.org/10.1007/s10758-021-09506-5
Mukti, M. P. W., Cahyono, A., & Suwardi, S. (2023). Quality Education Plays A Central Role in Shaping A Superior and Competitive Generation. International Conference on Science, Education, and Technology, 9, 447–451.
Nasrun, Prahmana, R. C., & Akib, I. (2023). the Students’ Representative Processes in Solving Mathematical Word Problems. In Knowledge, 3(1), 70–79. https://doi.org/10.3390/knowledge3010006
Nurbianta, N., & Dahlia, H. (2018). The Effectiveness of Jigsaw Method in Improving Students Reading Comprehension. ETERNAL (English Teaching Journal), 9(1). 10.26877/eternal.v9i1.2416
Nursanti, R. (2019). Improving Students’s Mathematical Representation Ability Through Student Worksheets: A Contextual Approach on the Topic of Relation and Function for Eighth Grade Students of Junior High School 3 Batu Ampar. Jurnal Pendidikan Matematika dan IPA, 10(2), 284–298. 10.26418/jpmipa.v10i2.29665
Putri, R. A., & Awalludin, S. A. (2024). Analisis Kemampuan Berpikir Kreatif Matematis Ditinjau dari Self Efficacy dalam Menyelesaikan Soal Berbasis Literasi dan Numerasi. FIBONACCI: Jurnal Pendidikan Matematika Dan Matematika, 10(1), 51–64. https://dx.doi.org/10.24853/fbc.10.1.51-64
Rambe, N., Syahputra, E., & Elvis, E. (2020). The effect of The Jigsaw Cooperative Learning Model and the Student’s Initial Mathematical Abilities and Its Effect on the Mathematical Representation Ability and Learning Motivation of Students in The PAB 10 Sampali Private Elementary School. Budapest International Research and Critics in Linguistics and Education (BirLE) Journal, 3(3), 1591–1599. 10.33258/birle.v3i3.1249
Roy, P. K. (2024). Master the Art of Cooperative Learning: Unlock the Power of Student Collaboration, Maximize Classroom Potential, and Build Stronger Learning Communities. Roy PK.
Santoso, A. S. (2013). Pengaruh Pemberian Soal Open-Ended Terhadap Kemampuan Penalaran Matematis Siswa. Kreano. Jurnal Matematika Kreatif-Inovatif, 4(2), 138–150. https://doi.org/10.15294/kreano.v4i2.3138
Saputri, L. (2020). Pengaruh Model Pembelajaran Kooperatif Tipe Jigsaw Terhadap Kemampuan Pemahaman Konsep Matematis. Jurnal Serunai Matematika, 12(1), 13–18. https://doi.org/10.15294/kreano.v4i2.3138
Shestakova, T. N., Sukhorukova, L. M., Ivchenko, M. V, & Fokin, N. I. (2017). Education As the National Safety Element in the Globalizing World. Integration and Clustering for Sustainable Economic Growth, 167–172. https://doi.org/10.1007/978-3-319-45462-7_19
Shoimin, A. (2018). 68 Model Pembelajaran Inovatif dalam Kurikulum 2013. Ar-Ruzz Media.
Silva, R., Farias, C., & Mesquita, I. (2021). Cooperative Learning Contribution to Student Social Learning and Active Role in The Class. Sustainability, 13(15), 8644. https://doi.org/10.3390/su13158644
Stylianou, D. A., & Silver, E. A. (2004). The Role of visual Representations in Advanced Mathematical Problem Solving: An Examination of Expert-Novice Similarities and Differences. Mathematical Thinking and Learning, 6(4), 353–387. https://doi.org/10.1207/s15327833mtl0604_1
Sumarni, S., Darhim, D., Fatimah, S., Priatna, N., Anjelita, A., & Taufik, A. (2018). the Students’ Mathematical Concept Understanding Ability Through Cooperative Learning Type Jigsaw Assisted Visual Media. Journal of Physics: Conference Series, 1132(1), 12051. 10.1088/1742-6596/1132/1/012051
Syahputra, E., & Suhartini, I. (2014). Increasing Of Students’ Achievement in Polynomial by Using Jigsaw Method. Journal of Education and Practice, 5(5), 175–182.
Syarifuddin, A. (2011). Model Pembelajaran Cooperative Learning Tipe Jigsaw dalam Pembelajaran. Ta’dib: Jurnal Pendidikan Islam, 16(02), 209–226. https://doi.org/10.19109/td.v16i02.61
Tupamahu, P. Z., Ratumanan, T. G., & Laamena, C. (2023). Students’ Mathematical Representation and Communication Ability in Mathematics Problem Solving. Jurnal Didaktik Matematika, 10(1), 111–130. https://doi.org/10.24815/jdm.v10i1.29376
Yemi, T. M., Azid, N. B. H., & bin Md Ali, M. R. (2018). Effect of jigsaw Strategy of Cooperative Learning on Mathematics Achievement among Secondary School Students. European Journal of Education Studies. http://dx.doi.org/10.46827/ejes.v0i0.1428
Yuningsih, A. S., & Rohaendi, S. (2017). Penerapan Model Pembelajaran Jigsaw untuk Meningkatkan Kemampuan Representasi. Jurnal Biormatika, 4(1), 16–23.
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