The Verbal Problem-Solving Process in Students' Mathematical Connections
Abstract
Penelitian ini mengkaji proses pembentukan koneksi matematis dalam menyelesaikan soal verbal dan berbasis cerita. Berbagai jenis koneksi berhasil diidentifikasi oleh siswa saat menyelesaikan soal verbal. Jenis-jenis soal dikembangkan berdasarkan kerangka kerja NCTM, meliputi koneksi antar topik matematika, koneksi dengan disiplin ilmu lain, dan koneksi dengan konteks kehidupan sehari-hari. Data dikumpulkan melalui wawancara semi-terstruktur dengan dua subjek yang dipilih menggunakan teknik purposive sampling. Dalam prosesnya, siswa menunjukkan tujuh jenis koneksi: koneksi pemahaman, koneksi if-then, koneksi ekuivalensi, koneksi hierarkis, koneksi perbandingan umum, koneksi prosedural, dan koneksi justifikasi. Koneksi ini menggambarkan bagaimana ide-ide matematika ditransformasikan dan diekspresikan selama proses pemecahan masalah.
Keywords
Full Text:
PDFReferences
Aidossov, A., Aidosov, G., & Narbayeva, S. (2021). Construction of Mathematical Models of the Stressed-strained State of a Material with a Porous Water-Saturated Base under Dynamic Load. Eastern-European Journal of Enterprise Technologies, 5((7(113)), 25–35. https://doi.org/10.15587/1729-4061.2021.238978
Aini, N. R., Syafil, S., Pahrudin, A., Rahayu, T., & Puspasari, V. (2019). Problem-Based Learning for Critical Thinking Skills in Mathematics. Journal of Physics: Conference Series, 1155(2). https://doi.org/10.1088/1742-6596/1155/1/012026
Arfiani, D. D., Ulya, H., & Wanabuliandari, S. (2020). The Effect of REACT Model Assisted Fable-Math Book Media on Mathematical Problem Solving Of Elementary School Students. Mathematics Education Journal, 4(2), 116–125. https://doi.org/10.22219/mej.v4i2.12523
Belecina, R. R., & Jose M Ocampo, J. (2018). Effecting Change on Students’ Critical Thinking in Problem Solving. EDUCARE: International Journal for Educational Studies, 10(2), Article 2. https://doi.org/10.2121/edu-ijes.v10i2.949
Bernard, M., & Setiawan, W. (2020). Development of Geometry Analysis Using Geogebra Scripting in terms of Student Cognitive Capabilities. Journal of Physics: Conference Series, 1521(3), 032103. https://doi.org/10.1088/1742-6596/1521/3/032103
Butt, S. I., Akdemir, A. O., Bhatti, M. Y., & Nadeem, M. (2020). New refinements of Chebyshev–Pólya–Szegö-type inequalities via generalized fractional integral operators. Journal of Inequalities and Applications, 2020(1), 157. https://doi.org/10.1186/s13660-020-02425-6
Chamberlin, M. T. (2005). Teachers’ Discussions Of Students’ Thinking: Meeting The Challenge Of Attending To Students’ Thinking. Journal of Mathematics Teacher Education, 8(2), 141–170. https://doi.org/10.1007/s10857-005-4770-4
Cho, M. K., & Kim, M. K. (2020). Investigating Elementary Students’ Problem Solving and Teacher Scaffolding in Solving an Ill-Structured Problem. International Journal of Education in Mathematics, Science and Technology, 8(4), 274–289. https://doi.org/10.46328/IJEMST.V8I4.1148
Daulay, K. R., & Ruhaimah, I. (2019). Polya theory to improve problem-solving skills. Journal of Physics: Conference Series, 1188(1), 012070. https://doi.org/10.1088/1742-6596/1188/1/012070
Habibi, M., Lasia, D., Oktafia, M., & Ilham, M. (2020). Habits of Mind Strategies for Enhancing Students’ Math Problem Solving Skills. JTAM (Jurnal Teori Dan Aplikasi Matematika), 4(2), 182–189. https://doi.org/10.31764/jtam.v4i2.2590
Hadinugrahaningsih, T., Rahmawati, Y., & Ridwan, A. (2017). Developing 21st century skills in chemistry classrooms: Opportunities and challenges of STEAM integration. AIP Conference Proceedings, 1868(1). https://doi.org/10.1063/1.4995107
Handajani, S., Pratiwi, H., & Mardiyana. (2018). The 21st century skills with model eliciting activities on linear program. Journal of Physics: Conference Series, 1008(1), 012059. https://doi.org/10.1088/1742-6596/1008/1/012059
Kaisari, M., & Patronis, T. (2010). So we decided to call “straight line” (…): Mathematics students’ interaction and negotiation of meaning in constructing a model of elliptic geometry. Educational Studies in Mathematics, 75(3), 253–269. https://doi.org/10.1007/s10649-010-9255-4
Kidron, I., & Dreyfus, T. (2010). Justification enlightenment and combining constructions of knowledge. Educational Studies in Mathematics, 74(1), 75–93. https://doi.org/10.1007/s10649-009-9228-7
Kovari, A., & Rajesanyi-Molnar, M. (2020). Mathability and creative problem solving in the MaTech math competition. Acta Polytechnica Hungarica, 17(2), 147–161.
Maynes, J. (2013). Thinking about Critical Thinking. Teaching Philosophy, 36(4), 337–351. https://doi.org/DOI 10.5840/teachphil2013931
Narita, Y. (2019). Polya Counting Theory Applied to Combination of Edge Conditions for Generally Shaped Isotropic Plates. EPI International Journal of Engineering, 2(2), Article 2. https://doi.org/10.25042/epi-ije.082019.16
Nurdin, N., Samad, I. S., & Sardia, S. (2020). Logical Reasoning Analysis Based on Hippocrates Personality Types. Aksioma, 9(2), Article 2. https://doi.org/10.22487/aksioma.v9i2.219
Pratiwi, I. C., Inganah, S., & Putri, O. R. U. (2020). Analysis On Written Mathematical Communication Skills At System Of Linear Equations In Two Variables (SLETV) Material Viewed From Student Learning Styles. Mathematics Education Journal, 3(2), 119–129. https://doi.org/10.22219/mej.v3i2.11069
Prayitno, A. (2018). Characteristics of Students’ Critical Thinking In Solving Mathematics Problem. The Online Journal of New Horizons in Education, 8(1), 46–55. https://www.researchgate.net/publication/322977638
Purba, E. P., Sinaga, B., Mukhtar, M., & Surya, E. (2017). Analysis of the Difficulties of the Mathematical Creative Thinking Process in the Application of Problem Based Learning Model. 266–269. https://doi.org/10.2991/aisteel-17.2017.55
Rahayuningsih, S., Sirajuddin, S., & Nasrun, N. (2020). Cognitive Flexibility: Exploring Students’ Problem-Solving in Elementary School Mathematics Learning. Journal of Research and Advances in Mathematics Education, 6(1), 59–70. https://doi.org/10.23917/jramathedu.v6i1.11630
Ridwan, A., Rahmawati, Y., & Hadinugrahaningsih, T. (2017). STEAM Integration In Chemistry Learning for Developing 21St Century Skills. MIER Journal of Educational Studies Trends & Practices, 7(2), 184–194. https://doi.org/10.52634/mier/2017/v7/i2/1420
Saputra, M. D., Joyoatmojo, S., Wardani, D. K., & Sangka, K. B. (2019). Developing Critical-Thinking Skills through the Collaboration of Jigsaw Model with Problem-Based Learning Model. International Journal of Instruction, 12(1), 1077–1094. https://doi.org/10.29333/iji.2019.12169a
Sunanto, R. F., Apriliani, R., & Nafi’ah, W. (2020). Students’ Mathematical Problem Solving Abilities: The Impact of The Co-Op Co-Op Cooperative Learning Model and Missouri Mathematics Project. Desimal: Jurnal Matematika, 3(3), 279–286. https://dx.doi.org/10.24042/djm.v3i3.7332
Supratman, Rustina, R., & Heryani, Y. (2020). Non-empirical Induction in mathematics conjecturing in the new knowledge construction. Journal of Physics: Conference Series, 1613(1), 012044. https://doi.org/10.1088/1742-6596/1613/1/012044
Surya, E., & Syahputra, E. (2017). Improving High-Level Thinking Skills by Development of Learning PBL Approach on the Learning Mathematics for Senior High School Students. International Education Studies, 10(8), 12–20. https://doi.org/10.5539/ies.v10n8p12
The Effectiveness of Core Models with Scaffolding to Improve The Mathematical Connection Skill. (2019). Journal of Primary Education, 8(4).
Tohir, M., Maswar, M., Atikurrahman, M., Saiful, S., & Pradita, D. A. R. (2020). Prospective Teachers’ Expectations of Students’ Mathematical Thinking Processes in Solving Problems. European Journal of Educational Research, 9(4), 1735–1748. https://doi.org/10.12973/EU-JER.9.4.1735
Warner, S., & Kaur, A. (2017). The Perceptions of Teachers and Students on a 21st Century Mathematics Instructional Model. International Electronic Journal of Mathematics Education, 12(2), 193–215. https://doi.org/10.29333/iejme/609
Wartono, Hudha, M. N., & Batlolona, J. R. (2018). How Are The Physics Critical Thinking Skills of The Students Taught by Using Inquiry-Discovery Through Empirical and Theorethical Overview? Eurasia Journal of Mathematics, Science and Technology Education, 14(2), 691–697. https://doi.org/10.12973/ejmste/80632
Widada, W., Herawaty, D., Andriyani, D. S., Marantika, R., Yanti, I. D., & Anggoro, A. F. D. (2020). The thinking process of students in understanding the concept of graphs during ethnomathematics learning. Journal of Physics: Conference Series, 1470(1), 012072. https://doi.org/10.1088/1742-6596/1470/1/012072
Widana, I. W., Parwata, I. M. Y., & Sukendra, I. K. (2018). Higher Order Thinking Skills Assessment towards Critical Thinking on Mathematics Lesson. International Journal of Social Sciences and Humanities, 2(1), Article 1. https://doi.org/10.29332/ijssh.v2n1.74
Winarso, W., & Toheri. (2017). A Case Study of Misconceptions Students in the Learning of Mathematics; The Concept Limit Function in High School. Jurnal Riset Pendidikan Matematika, 4(1). https://doi.org/10.2139/ssrn.2979460
DOI: http://dx.doi.org/10.24014/sjme.v10i2.18902
Refbacks
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Published by:
FLAG COUNTER