Student’s Reversible Thinking Processes: An Analysis Based on Adversity Quotient Type Climbers
Keywords:
Type:
TextAbstract
Reversibility thinking carried out mentally in mathematical operations has an important role in the process of understanding concepts as it involves developing a thinking process from beginning to end and from end to beginning. This qualitative research aims to describe students' reversible thinking processes in solving algebra problems, specifically in climber-type adversity quotient. A total of 2 students who have the climber type were selected as participants from 36 potential subjects involved in the research. Data collection was carried out by providing Adversity Response Profile questionnaires, Test of Thinking Reversible, and semi-structured interviews. Our participants solved problems according to polya stages and through forward and reverse processes. The results of data analysis show that in the forward process, there are 2 aspects of reversible thinking, namely negation and reciprocity, while in the reverse process, they involve 2 aspects of reversible thinking, namely the capability to return to initial data after obtaining the result and negation. The results suggest that student's ability to perform mental reversals indicates a strong reversible thought process, leading to more precise cognitive thinking.
Downloads
References
Amalia, H. F., & Manoy, J. T. (2021). Proses Berpikir Siswa Dalam Menyelesaikan Masalah Matematika Berdasar Langkah Polya Ditinjau Dari Adversity Quotient. MATHEdunesa, 10(3), 507–513. https://doi.org/10.26740/mathedunesa.v10n3.p507-513
Google Scholar CrossrefBalingga, E., Prahmana, R. C. I., & Murniati, N. (2016). Analisis Kemampuan Reversibilitas Siswa MTs Kelas VII dalam Menyusun Persamaan Linier. Jurnal Review Pembelajaran Matematika, 1(2), 117–131. https://doi.org/10.15642/jrpm.2016.1.2.117-131
Google Scholar CrossrefBörnert-Ringleb, M., & Wilbert, J. (2018). The Association of Strategy Use and Concrete-Operational Thinking in Primary School. Frontiers in Education, 3(May), 1–11. https://doi.org/10.3389/feduc.2018.00038
Google Scholar CrossrefDewi, D. K., Wijaya, P. N., & Puteri, A. P. (2022). The relationship between psychological well-being and adversity quotient on fresh graduates during coronavirus pandemic. Innovation on Education and Social Sciences, 121–126. https://doi.org/10.1201/9781003265061-16
Google Scholar CrossrefEspaňola, R. P. (2016). Adversity Quotient (AQ) and Academic Performance of Selected Students in MSU Marawi City. Proceedings Journal of Education, Psychology and Social Science Research, 3(1), 57–62. https://doi.org/10.21016/icepss.2016.ma09wf124o
Google Scholar CrossrefFerdianto, F., Sukestiyarno, Y. L., & Widowati, I. J. (2022). Mathematical Thinking Process On Numeracy Literacy Problems For Middle School Students. Journal of Positive School Psychology, 6(8), 6909–6923.
Google Scholar CrossrefFitmawati, E. E., Siswono, T. Y. E., & Lukito, A. (2019). Student’s Reversibility in Solving Algebraic Problems. International Journal of Trends in Mathematics Education Research, 2(4), 188–192. https://doi.org/10.33122/ijtmer.v2i4.98
Google Scholar CrossrefHidayat, W., Noto, M. S., & Sariningsih, R. (2019). The influence of adversity quotient on students’ mathematical understanding ability. Journal of Physics: Conference Series, 1157(3), 1–6. https://doi.org/10.1088/1742-6596/1157/3/032077
Google Scholar CrossrefHuijuan, Z. (2009). The Adversity Quotient and Academic Performance Among College Students at st. Joseph ’ scollege, Quezon City. Quezon, 1–96.
Google Scholar CrossrefKang, Mee -Kwang & Lee, B.-S. (1999). On Fuzzified Representation Of Piagetian Reversible Thinking. Journal of the Korea Society of Mathematical Education Series D: Research in Mathematical Education, 3(2), 99–112. http://www.koreascience.or.kr/search/articlepdf_ocean.jsp?admNo=SHGHEN_1999_v3n2_99
Google Scholar CrossrefKarimah, R., & Fuad, Y. (2018). Students’ Higher-Order Thinking Skills in Solving Geometry Problems Based on Adversity Quotient. Jurnal Ilmiah Pendidikan Matematika, 2(7), 21–29. https://jurnalmahasiswa.unesa.ac.id/index.php/mathedunesa/article/view/25554/23429
Google Scholar CrossrefKarlimah. (2010). Kemampuan Komunikasi Dan Pemecahan Masalah Matematis Mahasiswa Pendidikan Guru Sekolah Dasar Melalui Pembelajaran Berbasis Masalah. Jurnal Pendidikan, 11(2), 51–60. https://doi.org/10.33830/jp.v11i2.555.2010
Google Scholar CrossrefMaf’ulah, S., & Juniati, D. (2020). Exploring reversible thinking of preservice mathematics teacher students through the problem-solving task in algebra. Journal of Physics: Conference Series, 1663(1), 22–24. https://doi.org/10.1088/1742-6596/1663/1/012003
Google Scholar CrossrefMaf’ulah, S., Juniati, D., & Siswono, T. Y. E. (2017). The aspects of reversible thinking in solving algebraic problems by an elementary student winning national Olympiad medals in science. World Transactions on Engineering and Technology Education, 15(2), 189–194.
Google Scholar CrossrefMihajlovic, A., Egeric, M., & Dejic, M. (2016). Mathematical Abilities: Identification and Development. International Conference “Professional Competences for Teaching in the 21st Century,” January 2008, 1–8.
Google Scholar CrossrefMuir, A. (1988). The psychology of mathematical creativity. In The Mathematical Intelligencer (Vol. 10, Issue 1). https://doi.org/10.1007/BF03023849
Google Scholar CrossrefPebrianti, A., & Juandi, D. (2023). Reversible Thinking Ability in Solving Mathematics Problems. Cendekia: Jurnal Pendidikan Matematika, 07(1), 163–173.
Google Scholar CrossrefRamful, A. (2015). Reversible reasoning and the working backward problem-solving strategy. University of Canberra, ACT, 71(4), 28–32.
Google Scholar CrossrefRiswang, Ihsan, H., & Alimuddin. (2021). Students Thinking Process in Solving Mathematics Problems Based on Adversity Quotient. Advances in Social Science, Education, and Humanities Research, 611(ICoESM), 289–293.
Google Scholar CrossrefSa’dijah, C., Rahayuningsih, S., Sukoriyanto, S., Qohar, A., & Pujarama, W. (2021). Concept understanding layers of seventh graders based on communication ability in solving fraction problems. AIP Conference Proceedings, 2330(March). https://doi.org/10.1063/5.0043725
Google Scholar CrossrefSadijah, C., Murtafiah, W., Anwar, L., Nurhakiki, R., & Cahyowati, E. T. D. (2021). Teaching higher-order thinking skills in mathematics classrooms: Gender differences. Journal on Mathematics Education, 12(1), 159–179. https://doi.org/10.22342/jme.12.1.13087.159-180
Google Scholar CrossrefSangwin, C. J., & Jones, I. (2017). Asymmetry in student achievement on multiple-choice and constructed-response items in reversible mathematics processes. Educational Studies in Mathematics, 94(2), 205–222. https://doi.org/10.1007/s10649-016-9725-4
Google Scholar CrossrefSon, A. L., Darhim, & Fatimah, S. (2019). An analysis of student error in algebraic problem solving based on Polya and Newman theory. Journal of Physics: Conference Series, 1315(1), 0–7. https://doi.org/10.1088/1742-6596/1315/1/012069
Google Scholar CrossrefSternberg, R. J. (2013). Thinking and Problem-Solving. Thinking and Problem-Solving, 1–461. https://doi.org/10.1016/C2009-0-02249-1
Google Scholar CrossrefSubanji, S., Sa’dijah, C., Syuhriyah, K., & Anwar, L. (2021). Students’ thinking process in solving two variables linear equation system problems based on systemic and intuitive cognitive style. AIP Conference Proceedings, 2330(March). https://doi.org/10.1063/5.0043732
Google Scholar CrossrefSutiarso, S. (2020). Analysis of Student Reversible Thinking Skills on Graph Concept. Indonesian Journal of Science and Mathematics Education, 3(2), 185–195. https://doi.org/10.24042/ijsme.v3i2.6768
Google Scholar CrossrefTambychik, T., & Meerah, T. S. M. (2010). Student’s difficulties in mathematics problem-solving: What do they say? Procedia - Social and Behavioral Sciences, 8(December 2010), 142–151. https://doi.org/10.1016/j.sbspro.2010.12.020
Google Scholar CrossrefTomé, A. O., Purwanto, & Sa’dijah, C. (2019). Students’ Mathematical Thinking Process Involving Equal Signs. Journal of Physics: Conference Series, 1227(1), 1–9. https://doi.org/10.1088/1742-6596/1227/1/012012
Google Scholar CrossrefWong, B. (1977). The relationship between Piaget’s concept of reversibility and arithmetic performance among second graders. Paper Presented at the Annual Meeting of the American Educational Research Association, New York, USA, 6.
Google Scholar CrossrefPublished
Metrics
Almetric
Dimensions
How to Cite
Issue
Section
License
Copyright (c) 2024 Fadrik Adi Fahrudin, Cholis Sa'dijah, Erry Hidayanto, Hery Susanto
This work is licensed under a Creative Commons Attribution 4.0 International License.
All articles are published under Creative Commons copyright (CC BY). Authors hold the copyright and retain publishing rights without restrictions, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles as the original source is cited.
