Profil Berpikir Metaforis Mahasiswa Calon Guru Matematika
DOI:
https://doi.org/10.57008/jjp.v3i03.566Keywords:
berpikir metaforis, penalaran, bentuk aljabarAbstract
Penelitian bertujuan mendapatkan gambaran lebih dalam tentang proses berpikir metaforis dalam penalaran pada materi bentuk aljabar. Sampel penelitian adalah maahasiswa semester V Program Studi Pendidikan Matematika Universitas Muhammadiyah Purwokerto. Diambil masing-masing dua responden dari kategori Indeks Prestasi Komulatif (IPK) tinggi dan sedang menggunakan teknik purposive sampling. Pengambilan data menggunakan tes, dokumentasi, dan wawancara mendalam. Data yang diperoleh kemudian direduksi, disajikan, dan disimpulkan. Hasil penelitian menunjukkan bahwa: a) semua responden menggunakan prinsip keseimbangan dalam timbangan untuk menyelesaikan permasalahan yang terkait dengan materi bentuk aljabar; b) responden dengan IPK tinggi cenderung mampu menggunakan metafora-metafora untuk menyelesaikan permasalahan bentuk aljabar; c) responden dengan IPK sedang cenderung ragu-ragu ketika menggunakan metafora-metafora dalam dalam menyelesaikan masalah; d) semua responden terbiasa menggunakan penyederhanaan bentuk aljabar dan baru pertama kali menyelesaikan permasalahan menggunakan metafora.
References
Agustyaningrum, N., Hanggara, Y., Husna, A., Abadi, A. M., & Mahmudii, A. (2019). An analysis of students’ mathematical reasoning ability on abstract algebra course. International Journal of Scientific and Technology Research, 8(12), 2800–2805.
Blanchette, I., & Caparos, S. (2013). When emotions improve reasoning: The possible roles of relevance and utility. Thinking and Reasoning, 19(3–4), 399–413. https://doi.org/10.1080/13546783.2013.791642
Camps, N. (2020). Exploring the Use of Visual Metaphors in Teaching Business and Management Subjects. International Journal of Management and Applied Research, 7(3), 340–348. https://doi.org/10.18646/2056.73.20-024
Çetinkaya, M., Özgören, Ç., Orakci, Ş., & Özdemir, M. Ç. (2018). Metaphorical perceptions of middle school students towards math. International Journal of Instruction, 11(3), 31–44. https://doi.org/10.12973/iji.2018.1133a
Fredua-Kwarteng, E. (2015). How prospective teachers conceptualized mathematics: Implications for teaching. International Electronic Journal of Mathematics Education, 10(2), 77–95. https://doi.org/10.12973/mathedu.2015.106a
Fyfe, E. R., & Brown, S. A. (2017). Feedback influences children’s reasoning about math equivalence: A meta-analytic review. Thinking and Reasoning. https://doi.org/10.1080/13546783.2017.1359208
Hasanah, S. I., Tafrilyanto, C. F., & Aini, Y. (2019). Mathematical Reasoning: The characteristics of students’ mathematical abilities in problem solving. Journal of Physics: Conference Series, 1188(1). https://doi.org/10.1088/1742-6596/1188/1/012057
Hendriana, H. (2012). Pembelajaran Matematika Humanis Dengan Metaphorical Thinking Untuk Meningkatkan Kepercayaan Diri Siswa. Infinity Journal, 1(1), 90. https://doi.org/10.22460/infinity.v1i1.9
Hendriana, H. (2017). Senior Hight School Teacers’ Mathematical Questioning Ability and Metaphorical Thinking Learning. Infinity, 6(1), 51–58. https://doi.org/10.22460/infinity.v6i1.243
Hendriana, H., Eti Rohaeti, E., & Hidayat, W. (2017). Metaphorical thinking learning and junior high school teachers’ mathematical questioning ability. Journal on Mathematics Education, 8(1), 55–64. https://doi.org/10.22342/jme.8.1.3614.55-64
Jäder, J., Sidenvall, J., & Sumpter, L. (2016). Students’ Mathematical Reasoning and Beliefs in Non-routine Task Solving. International Journal of Science and Mathematics Education. https://doi.org/10.1007/s10763-016-9712-3
Kalra, M. B., & Baveja, B. (2012). Teacher Thinking about Knowledge, Learning and Learners: A Metaphor Analysis. Procedia - Social and Behavioral Sciences, 55, 317–326. https://doi.org/10.1016/j.sbspro.2012.09.509
Lai, M. Y. (2013). Constructing meanings of mathematical registers using metaphorical reasoning and models. Mathematics Teacher Education and Development, 15(1), 29–47. https://www.merga.net.au/documents/MTED_15_1_Lai.pdf
Mehraj A. Bhat. (2016). The Predictive Power of Reasoning Ability on Academic Achievement. International Journal of Learning, Teaching and Educational Research, 15(1), 79–88.
Mildenhall, P., & Sherriff, B. (2017). Using multiple metaphors and multimodalities as a semiotic resource when teaching year 2 students computational strategies. Mathematics Education Research Journal. https://doi.org/10.1007/s13394-017-0212-8
Morsanyi, K., Prado, J., & Richland, L. E. (2018). Editorial: The role of reasoning in mathematical thinking. Thinking and Reasoning. https://doi.org/10.1080/13546783.2018.1435425
Mouraz, A., Pereira, A. V., & Monteiro, R. (2013). The Use of Metaphors in the Processes of Teaching and Learning in Higher Education. International Online Journal of Educational Sciences, 5(1), 99–110.
Napitupulu, E. E., Suryadi, D., & Kusumah, Y. S. (2016). Cultivating upper secondary students’ mathematical reasoning-ability and attitude towards mathematics through problem-based learning. Journal on Mathematics Education, 7(2), 117–128. https://doi.org/10.22342/jme.7.2.3542.117-128
Navaneedhan, C. G., & Kamalanabhan, T. J. (2014). Metaphorical Thinking and Information Processing Ability. Journal of Behavioral and Brain Science, 04(10), 465–469. https://doi.org/10.4236/jbbs.2014.410045
Navaneedhan, C. G., & Kamalanabhan, T. J. (2016a). Is Metaphorical Thinking Related to Development of Cognitive Structures among Learners ? World Scientific News, 52, 1–13.
Navaneedhan, C. G., & Kamalanabhan, T. J. (2016b). Metaphorical Thinking: Its Link to Neurochemistry of Learning. Psychology, 07(03), 286–291. https://doi.org/10.4236/psych.2016.73031
Navaneedhan, G., & Kamalanabhan, T. (2018). How Metaphorical Thinking Influence Information Processing Ability: A Study using EEG Technique. International Journal of School and Cognitive Psychology, 05(01), 1–13. https://doi.org/10.4172/2469-9837.1000205
Olsen, J., Lew, K., & Weber, K. (2020). Metaphors for learning and doing mathematics in advanced mathematics lectures. Educational Studies in Mathematics. https://doi.org/10.1007/s10649-020-09968-x
Olsson, J. (2017). The Contribution of Reasoning to the Utilization of Feedback from Software When Solving Mathematical Problems. International Journal of Science and Mathematics Education. https://doi.org/10.1007/s10763-016-9795-x
Pradhan, J. B. (2018). Mathematical Ideas in Cultural Artefacts: A Metaphor for Teaching of School Mathematics. International Journal of Scientific and Research Publications (IJSRP), 8(9), 335–341. https://doi.org/10.29322/ijsrp.8.9.2018.p8145
Pradhan, J. B. (2019). Conceptual Metaphor for Teaching and Learning of Prime and Composite Numbers at Primary Grades. The Eurasia Proceedings of Educational & Social Sciences (EPESS), 14(1997), 78–88.
Putri, D. K., Sulianto, J., & Azizah, M. (2019). Kemampuan Penalaran Matematis Ditinjau dari Kemampuan Pemecahan Masalah. International Journal of Elementary Education, 3(3), 351–357.
Rosyidah, U., Setyawati, A., & Qomariyah, S. (2021). Analisis Kemampuan Penalaran dan Kemampuan Pemahaman Konsep Matematis Mahasiswa Pendidikan Matematika Pada Mata Kuliah Aljabar Dasar. SJME (Supremum Journal of Mathematics Education, 5(1), 63–71. https://doi.org/10.35706/sjme.v5i1.4488
Saleh, M., Prahmana, R. C. I., Isa, M., & Murni. (2018). Improving the reasoning ability of elementary school student through the Indonesian realistic mathematics education. Journal on Mathematics Education, 9(1), 41–54. https://doi.org/10.22342/jme.9.1.5049.41-54
Sattaran, M. (2016). What Are the Different Models of Conceptualizing Metaphor. International Journal of English Language Teaching, 4(6), 59–67.
Soto-Andrade, J. (2014). Metaphors in Mathematics Education. Encyclopedia of Mathematics Education. In Encyclopedia of Mathematics Education (pp. 447–453). https://doi.org/10.1007/978-94-007-4978-8_113
Sugiyono. (2015). Metode Penelitian Pendidikan. Bandung. In Metode Penelitian Pendidikan (Pendekatan Kuantitatif, Kualitatif, dan R&D) (p. 308).
Suharna, H., & Alhaddad, I. (2018). The structure of mathematical reasoning in mathematical problems. International Journal of Scientific and Technology Research, 7(8), 252–260.
Tooher, H., & Johnson, P. (2020). The role of analogies and anchors in addressing students’ misconceptions with algebraic equations. Issues in Educational Research, 30(2), 756–781.
van Poppel, L. (2020). The relevance of metaphor in argumentation. Uniting pragma-dialectics and deliberate metaphor theory. Journal of Pragmatics, 170, 245–252. https://doi.org/10.1016/j.pragma.2020.09.007
Winter, B., & Yoshimi, J. (2020). Metaphor and the Philosophical Implications of Embodied Mathematics. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.2020.569487
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 JURNAL JENDELA PENDIDIKAN
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
