Exploring decision-making prospective mathematics teacher in solving geometric proof problems
DOI:
https://doi.org/10.29408/jel.v10i1.23177Keywords:
decision-making, geometric problem, proofAbstract
Facing the current digital era, correct and accurate decisions are needed to deal with the problems. This research aimed to explore the decision-making abilities of prospective mathematics teacher students in solving geometric proof problems. This research was a qualitative descriptive study with research subjects 3 out of 32 students of the 2nd semester Mathematics Education study program. The research instrument is the researcher himself, who is assisted with geometric proof problem tests and interview guidelines. Data analysis was including reduction, presentation, and conclusion. The validity of the research data was tested using methods triangulation. The research results show that subjects with a proof ability of K2 can build and clarify geometric concepts/principles and can assess the reasonableness of ideas even though the subject feels unsure about their choice. Subjects with a proof ability of K3 can build and clarify geometric concept/principle ideas but cannot assess the reasonableness of proof ideas. Subjects with a proof ability of K4 can build ideas of geometric concepts/principles, can clarify even though they are incomplete, and cannot assess the reasonableness of proof ideas. Students need to be equipped with decision-making skills in solving proof problems as preparation to become mathematics teachers in the future.
References
Alexander, D. C., & Koeberlein, G. M. (2011). Elementary geometry for college students (5th Ed). Brooks/Cole.
Arnawa, I. M., Sumarno, U., Kartasasmita, B., & Baskoro, E. T. (2007). Applying the APOS theory to improve students ability to prove in elementary abstract algebra. Journal of the Indonesian Mathematical Society, 133–148. https://doi.org/10.22342/jims.13.1.80.133-148
Chua, P. H., & Wong, K. Y. (2012). Characteristics of problem posing of grade 9 students on geometric tasks. Mathematics Education: Expanding Horizons. the Annual Meeting of the Mathematics Education Research Group of Australasia (MERGA), Singapore.
Colakkadioglu, O., & Celik, D. B. (2016). The effect of decision-making skill training programs on self-esteem and decision-making styles. eurasian journal of educational research, 16(65), 1–35. https://doi.org/10.14689/ejer.2016.65.15
Creswell, J. (2015). riset pendidikan: perencanaan, pelaksanaan, dan evaluasi riset kualitatif dan kuantitatif (5th ed.) [educational research: planning, conducting, and evaluating qualitative and quantitative research]. Pustaka Pelajar.
Creswell, J. W. (2012). educational research: Planning, conducting, and evaluating quantitative and qualitative research.
Fahmi, S. F. S. F. S. (2023). Merdeka belajar-kampus merdeka [Independent learning-independent campus]. At-Tadris: Journal of Islamic Education, 2(1), 92-97. https://doi.org/10.56672/attadris.v2i1.70
Hendri, N. (2020). Merdeka belajar: Antara retorika dan aplikasi [Freedom to learn: Between rhetoric and application]. E-Tech: Jurnal Ilmiah Teknologi Pendidikan, 8(1), 1-29. https://ejournal.unp.ac.id/index.php/e-tech/article/view/107288
Herizal, H. (2020). Faktor yang memengaruhi kemampuan pembuktian matematis siswa [Factors that influence students’ mathematical proof ability]. Vygotsky: Jurnal Pendidikan Matematika dan Matematika, 2(1), 33-42. https://doi.org/10.30736/vj.v2i1.187
Johnson, R. B., & Christensen, L. B. (2014). Educational research: Quantitative, qualitative, and mixed approaches (5. ed). SAGE.
Kosko, K. W., & Herbst, P. (2012). Evaluating teachers’ decisions in posing a proof problem. Navigating Transitions Along Continuums. The 34th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Kalamazoo, Michigan USA.
Kurniawan, S., Rosjanuardi, R., & Suhendra, S. (2023). Students’ mathematical argumentation ability when proving mathematical statements based on self-efficacy. Jurnal Elemen, 9(2), 578–590. https://doi.org/10.29408/jel.v9i2.15151
Maarif, S., Wahyudin, W., Alyani, F., & Pradipta, T. R. (2020). Kemampuan mengkonstruksi bukti geometri mahasiswa calon guru matematika pada perkuliahan geometri [Ability to construct geometry proof of prospective mathematics teacher students in geometry lectures]. Jurnal Elemen, 6(2), 211–227. https://doi.org/10.29408/jel.v6i2.2012
Marchisotti, G. G., Domingos, M. D. L. C., & Almeida, R. L. D. (2018). Decision-making at the first management level: The interference of the organizational culture. RAM. Revista de Administração Mackenzie, 19(3). https://doi.org/10.1590/1678-6971/eramr180106
Mariotti, M. A., & Pedemonte, B. (2019). Intuition and proof in the solution of conjecturing problems’. ZDM, 51(5), 759–777. https://doi.org/10.1007/s11858-019-01059-3
Masfingatin, T., Murtafiah, W., & Krisdiana, I. (2018). Kemampuan mahasiswa calon guru matematika dalam pemecahan masalah pembuktian teorema geometri [The ability of prospective mathematics teacher students in solving problems of proving geometric theorems]. Jurnal Mercumatika : Jurnal Penelitian Matematika dan Pendidikan Matematika, 2(2), 41-50. https://doi.org/10.26486/jm.v2i2.272
Masfingatin, T., Murtafiah, W., & Maharani, S. (2020). Exploration of creative mathematical reasoning in solving geometric problems. Jurnal Pendidikan Matematika, 14(2), 155–168. https://doi.org/10.22342/jpm.14.2.7654.155-168
Masters, J. (2010). Automated scoring of an interactive geometry item: A proof-of-concept. The Journal of Technology, Learning and Assessment, 8(7), 1-39. https://ejournals.bc.edu/index.php/jtla/article/view/1626
Mazid, S., Futaqi, S., & Farikah, F. (2021). The concept of “freedom of learning” in a multicultural education perspective. Ta’dib, 24(1), 70-80. https://doi.org/10.31958/jt.v24i1.2759
Middleton, T. J. (2009). Development of scoring rubrics and pre-service teachers ability to validate mathematical proofs. The University of New Mexico.
Mujib, A. (2019). Kesulitan mahasiswa dalam pembuktian matematis: Problem matematika diskrit [Student difficulties in mathematical proof: Discrete mathematics problems]. Jurnal MathEducation Nusantara, 2(1), 51-57. https://jurnal.pascaumnaw.ac.id/index.php/JMN/article/view/68
Murtafiah, W., Lestari, N. D. S., Yahya, F. H., Apriandi, D., & Suprapto, E. (2023). How do students’ decision-making ability in solving open-ended problems? Infinity Journal, 12(1),133-150. https://doi.org/10.22460/infinity.v12i1.p133-150
Murtafiah, W., Lukitasari, M., & Lestari, N. D. S. (2021). Exploring the decision-making process of pre-service teachers in solving mathematics literacy problems. Jurnal Pendidikan Matematika, 15(2),145-160. https://doi.org/10.22342/jpm.15.2.13908.145-160
Murtafiah, W., Lukitasati, M., Lestari, N. D. S., Zayyadi, M., & Widodo, S. A. (2022). Decision making students winning microteaching contest in design lesson plan and its implementation in mathematics learning. Cypriot Journal of Educational Sciences, 17(6), 2045–2060. https://doi.org/10.18844/cjes.v17i6.7497
Murtafiah, W., & Masfingatin, T. (2015). Thinking process in solve geometry problem of student with low spatial intelligent. Applied Research of Mathematics and Natural Sciences to Improve Its Usefulness for Knowledge and Society. International Conference on Mathematics, Science, and Education 2015 (ICMSE 2015), Semarang.
Murtafiah, W., Sa’dijah, C., Chandra, T. D., & Susiswo, S. (2019). Decision making of the Winner of the National Student Creativity Program in Designing ICT-based Learning Media. TEM Journal, 8(3), 1039–1045. https://doi.org/10.18421/TEM83-49
Nunokawa, K. (2010). Proof, Mathematical Problem-solving, and explanation in mathematics teaching. In G. Hanna, H. N. Jahnke, & H. Pulte (Eds.), Explanation and Proof in Mathematics (pp. 223–236). Springer US. https://doi.org/10.1007/978-1-4419-0576-5_15
Rogers, C. R. (1969). Freedom to Learn. C. E. Merrill.
Suhartono, O. (2021). Kebijakan merdeka belajar dalam pelaksanaan pendidikan di masa pandemi COVID-19 [Independent learning policy in implementing education during the Covid-19 Pandemic]. Ar-Rosikhun: Jurnal Manajemen Pendidikan Islam, 1(1), 8-19. https://doi.org/10.18860/rosikhun.v1i1.13897
Suwarno, S., Nusantara, T., Susiswo, S., & Irawati, S. (2022). The decision making strategy of prospective mathematics teachers in improving LOTS to be HOTS problem. International Journal of Nonlinear Analysis and Applications, 13(1), 1613–1627. https://doi.org/10.22075/ijnaa.2022.5776
Swartz, R. J., Fischer, S. D., & Parks, S. (1998). Infusing the teaching of critical and creative thinking into secondary science: A lesson design handbook. Critical Thinking Books & Software.
Swartz, R. J., & Parks, S. (1994). Infusing critical and creative thinking into content instruction: A lesson design handbook for the elementary grades. Critical Thinking Press & Software.
Vanlommel, K., Van Gasse, R., Vanhoof, J., & Van Petegem, P. (2017). Teachers’ decision-making: Data based or intuition driven? International Journal of Educational Research, 83, 75–83. https://doi.org/10.1016/j.ijer.2017.02.013
Wahab, R. A., Abdullah, A. H., Abu, M. S., Atan, N. A., Mokhtar, M., & Hamzah, M. H. (2018). A Learning 3d geometry through sketchup make (SPPD-SUM) to enhance visual spatial skills and the level of geometric thinking. Journal of Fundamental and Applied Sciences, 10(6S).
Wang, Y., & Ruhe, G. (2007). The Cognitive Process of Decision Making: International Journal of Cognitive Informatics and Natural Intelligence, 1(2), 73–85. https://doi.org/10.4018/jcini.2007040105
Winarso, W. (2014). Problem Solving, Creativity Dan Decision Making Dalam Pembelajaran Matematika [Problem Solving, Creativity and Decision Making in Mathematics Learning]. Eduma : Mathematics Education Learning and Teaching, 3(1). https://doi.org/10.24235/eduma.v3i1.3
Yee, A. H. (1966). Mathematics probability and decision-making. The Arithmetic Teacher, 13(5), 385–387.
Yingxu Wang, Ying Wang, Patel, S., & Patel, D. (2006). A layered reference model of the brain (LRMB). IEEE Transactions on Systems, Man and Cybernetics, Part C (Applications and Reviews), 36(2), 124–133. https://doi.org/10.1109/TSMCC.2006.871126
Zakaria, A. H. A. and E. (2013). Enhancing students’ level of geometric thinking through Van Hiele’s phase-based learning. Indian Journal of Science and Technology, 6(5), 1–15. https://doi.org/10.17485/ijst/2013/v6i5.13
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