WORKING COLLABORATIVELY IN PROVING GEOMETRY PROBLEMS TO ENHANCE UNDERGRADUATE STUDENTS' COMMUNICATION OF MATHEMATICAL THINKING
DOI:
https://doi.org/10.38114/myznv984Keywords:
Kolaborasi, komunikasi, berpikir matematis, pemecahan masalahAbstract
Belajar matematika tidak berasal dari pemahaman individu saja tetapi karena kolaborasi dengan orang lain. Itu terjadi ketika mereka berkomunikasi satu sama lain. Oleh karena itu, penelitian ini bertujuan untuk mengetahui pengaruh Collaborative Problem-Solving (CPS) terhadap komunikasi matematis siswa dan menganalisis komunikasi matematis siswa melalui CPS. Tiga puluh siswa menjadi peserta penelitian dan dibagi menjadi 15 kelompok sehingga satu kelompok terdiri dari dua orang. Bekerja sama dengan rekannya, siswa menyelesaikan tugas pembuktian geometri secara berpasangan. Pendekatan kuantitatif dan kualitatif digunakan dalam penelitian ini untuk mencapai masing-masing dua tujuan penelitian. Rubrik penilaian tingkat komunikasi matematis dikembangkan untuk mengetahui komunikasi matematis siswa. Analisis kualitatif dilakukan melalui wawancara dan hasil jawaban kelompok. Kelompok yang dipilih adalah yang mengalami peningkatan signifikan komunikasi matematis, nilai standar deviasi tertinggi, dan komunikasi yang baik. Hasil penelitian menunjukkan adanya perbedaan tingkat komunikasi matematis siswa pada setiap pertemuan ketika siswa secara kolaboratif menyelesaikan soal pembuktian geometri. Penelitian ini juga menunjukkan bahwa pembentukan kelompok CPS akan lebih baik bila anggota kelompok memiliki kemampuan matematika yang setara.
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Albano, G., Swidan, O., & Pierri, A. (2023). A model for analyzing the explanatory writing of undergraduate students when solving mathematical tasks. International Journal of Mathematical Education in Science and Technology, 54(2). https://doi.org/10.1080/0020739X.2021.1949757
Antequera-Barroso, J. A., Revuelta-Domínguez, F. I., & Antequera, J. G. (2022). Similarities in Procedures Used to Solve Mathematical Problems and Video Games. Education Sciences, 12(3). https://doi.org/10.3390/educsci12030172
Barron, B. (2003). When smart groups fail. Journal of the Learning Sciences, 12(3). https://doi.org/10.1207/S15327809JLS1203_1
Bell, E. T., & Polya, G. (1945). How to Solve It. A New Aspect of Mathematical Method. The American Mathematical Monthly, 52(10). https://doi.org/10.2307/2306109
Cai, J., Jakabcsin, M. S., & Lane, S. (1996). Assessing Students’ Mathematical Communication. School Science and Mathematics, 96(5), 238–246.
Casadiego, A. M., Bermejo, V. S., & Fernandez, V. F. (2023). Spatial thinking skills mediated by communication processes in preschool children. Retos, 48, 74–85.
Cooke, B. D., & Buchholz, D. (2005). Mathematical communication in the classroom: A teacher makes a difference. Early Childhood Education Journal, 32(6), 365–369. https://doi.org/10.1007/s10643-005-0007-5
Damon, W., & Phelps, E. (1989). Critical distinctions among three approaches to peer education. International Journal of Educational Research, 13(1). https://doi.org/10.1016/0883-0355(89)90013-X
Duval, R. (1995). Sémiosis et Pensée Humaine Registres sémiotiques et apprentissages intellectuels. Peter Lang.Bern.
Fiore, S. M., Graesser, A., Greiff, S., Griffin, P., Gong, B., Kyllonen, P., Massey, C., O’Neil, H., Pellegrino, J., Rothman, R., & Davier, H. S. A. von. (2017). Collaborative Problem Solving: Considerations for the National Assessment of Educational Progress. Instructional-Design Theories and Models: A New Paradigm of Instructional Theory, 2, 241–267.
Fried, M. N., & Amit, M. (2003). Some reflections on mathematics classroom notebooks and their relationship to the public and private nature of student practices. Educational Studies in Mathematics, 53(2). https://doi.org/10.1023/A:1025572900956
Herrera-Pavo, M. Á. (2021). Collaborative learning for virtual higher education. Learning, Culture and Social Interaction, 28. https://doi.org/10.1016/j.lcsi.2020.100437
Hiebert, J., & Carpenter, T. P. (1992). Learning and Teaching with Understanding. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 65–97). The National Council of Teachers of Mathematics, Inc. https://doi.org/10.5860/choice.30-2122
Hornburg, C. B., Schmitt, S. A., & Purpura, D. J. (2018). Relations between preschoolers’ mathematical language understanding and specific numeracy skills. Journal of Experimental Child Psychology, 176, 84–100. https://doi.org/10.1016/j.jecp.2018.07.005
Isoda, M. (2007). Developing mathematical thinking in classroom. Review of Educational Research Progress Report of the APEC Project: Collaborative Studies on Innovations for Teaching and Learning Mathematics in Different Cultures (II) (Lesson Study Focusing on Mathematical Thinking).
Jamil, A. F., Siswono, T. Y. E., & Setianingsih, R. (2023). The Emergence and Form of Metacognitive Regulation : Case Study of More and Less Successful Outcome Groups in Solving Geometry Problems Collaboratively. Mathematics Teaching-Research Journal, 15(1), 25–43.
Jamil, A. F., Siswono, T. Y. E., Setianingsih, R., Lukito, A., & Ismail. (2023). The potential problem to explore metacognitive regulation in collaborative problem-solving. Ricerche Di Pedagogia e Didattica – Journal of Theories and Research in Education, 18(1), 57–71. https://doi.org/10.6092/issn.1970-2221/16086
Kostos, K., & Shin, E. kyung. (2010). Using Math Journals to Enhance Second Graders’ Communication of Mathematical Thinking. Early Childhood Education Journal, 38(3), 223–231. https://doi.org/10.1007/s10643-010-0390-4
Latif, S. (2017). Mathematical Connection Ability In Solving Mathematics Problem Based On Initial Abilities Of Students At SMPN 10 Bulukumba. Jurnal Daya Matematis, 4(2). https://doi.org/10.26858/jds.v4i2.2899
Lim, L., & Pugalee, D. K. (2004). Using Journal Writing to Explore “They Communicate to Learn Mathematics and They Learn to Communicate Mathematically.” Ontario Action Researcher, 7(2), 15. http://ezproxy.msu.edu/login?url=http://search.proquest.com/docview/61842202?accountid=12598%5Cnhttp://magic.msu.edu:4550/resserv?genre=article&issn=17152461&title=Ontario+Action+Researcher&volume=7&issue=2&date=2004-01-01&atitle=Using+Journal+Writing+to+
Molenaar, I., Sleegers, P., & van Boxtel, C. (2014). Metacognitive scaffolding during collaborative learning: a promising combination. Metacognition and Learning, 9(3), 309–332. https://doi.org/10.1007/s11409-014-9118-y
Parada Rico, S. E., Velasco Mèndez, A. M., & Fiallo, J. (2023). Communication skills enabled in a pre-calculus course using dynamic geometry software. Eurasia Journal of Mathematics, Science and Technology Education, 19(3), em2235. https://doi.org/10.29333/ejmste/12972
Planas, N., & Pimm, D. (2023). Mathematics education research on language and on communication including some distinctions: Where are we now? ZDM - Mathematics Education. https://doi.org/10.1007/s11858-023-01497-0
Pöysä-Tarhonen, J., Care, E., Awwal, N., & Häkkinen, P. (2018). Pair interactions in online assessments of collaborative problem solving: case-based portraits. Research and Practice in Technology Enhanced Learning, 13(1). https://doi.org/10.1186/s41039-018-0079-7
Purpura, D. J., & Ganley, C. M. (2014). Working memory and language: Skill-specific or domain-general relations to mathematics? Journal of Experimental Child Psychology, 122(1). https://doi.org/10.1016/j.jecp.2013.12.009
Risalah, D., & Hodiyanto, H. (2022). Mathematics communication as an alternative to overcome the obstacles of undergraduate students in mathematical proof. International Journal of Trends in Mathematics Education Research, 5(2). https://doi.org/10.33122/ijtmer.v5i2.141
Rohendi, D. (2012). Developing E-Learning Based on Animation Content for Improving Mathematical Connection Abilities in High School Students. 5(4), 429–434.
Roschelle, J., & Teasley, S. D. (1995). The Construction of Shared Knowledge in Collaborative Problem Solving. In Computer Supported Collaborative Learning. https://doi.org/10.1007/978-3-642-85098-1_5
Schoenfeld, A. H. (2013). Reflections on problem solving theory and practice. Mathematics Enthusiast, 10(1–2). https://doi.org/10.54870/1551-3440.1258
Steinbring, H. (2015). Mathematical interaction shaped by communication, epistemological constraints and enactivism. ZDM Mathematics Education, 47(2), 281–293. https://doi.org/10.1007/s11858-014-0629-4
Sulaiman, N. D., & Shahrill, M. (2015). Engaging collaborative learning to develop students’ skills of the 21st century. Mediterranean Journal of Social Sciences, 6(4). https://doi.org/10.5901/mjss.2015.v6n4p544
Toll, S. W. M., & Van Luit, J. E. H. (2014). Explaining numeracy development in weak performing kindergartners. Journal of Experimental Child Psychology, 124(1). https://doi.org/10.1016/j.jecp.2014.02.001
Xue, X., Wang, Y., Li, H., Gao, J., & Si, J. (2021). The association between mathematical attitudes, academic procrastination and mathematical achievement among primary school students: the moderating effect of mathematical metacognition. Current Psychology. https://doi.org/10.1007/s12144-021-02133-4
Yusoff, A. S. M., Durairaj, K., Mohamed, R., Peng, F. S., Abdullah, N., Ismail, H., Salleh, S. M., & Wahid, Z. (2022). Communication in Mathematics Among School Children: A Systematic Review. Journal of Advanced Research in Applied Sciences and Engineering Technology, 28(2), 275–290. https://doi.org/10.37934/araset.28.2.275290
Zsoldos-Marchis, I. (2015). Changing Pre-service Primary-school Teachers’ Attitude Towards Mathematics by Collaborative Problem Solving. Procedia - Social and Behavioral Sciences, 186. https://doi.org/10.1016/j.sbspro.2015.04.100
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