Truth-Seekers Students' Critical Thinking Process in Solving Mathematics Problems with Contradiction Information

Kamal Ardiansyah, Dian Kurniati, Dinawati Trapsilasiwi, Sharifah Osman

Abstract

The aims of this study are (1) to describe the critical thinking processes of truth-seekers students in solving math problems with contradiction information based on the theory of mental mechanisms and structures, and (2) to find valid and effective learning models to improve the critical thinking processes of truth-seekers students. The subjects of this study were truth-seekers at SMPN 7 Jember. Data collection methods in this study were tests, observations, and interviews. The results of the research are that students who do truth-seeking in this study build mental mechanisms consisting of interiorization, coordination, and encapsulation and construct all mental structures, namely actions, processes, objects, and schemas. So, it can be concluded that the mental mechanism process of truth-seekers students in this study is not complete even though the mental structures have all been constructed in their minds. The model found to improve the critical thinking process based on the research findings is the infusion learning model by focusing on the habit of solving mathematical problems with contradiction information.

Tujuan penelitian ini adalah (1) mendeskripsikan proses berpikir kritis siswa truth-seekers dalam menyelesaikan soal matematika dengan informasi yang kontradiksi berdasarkan teori mekanisme dan struktur mental, dan (2) menemukan model pembelajaran yang valid dan efektif untuk meningkatkan proses berpikir kritis siswa yang truth-seekers. Subjek penelitian ini adalah siswa yang truth-seekers di SMPN 7 Jember. Metode pengumpulan data pada penelitian ini adalah tes, observasi, dan wawancara. Hasil dari penelitian yaitu siswa yang melakukan truth-seeking dalam penelitian ini membangun mekanisme mental yang terdiri dari interiorisasi, koordinasi, dan enkapsulasi serta mengkonstruk seluruh struktur mental yaitu aksi, proses, objek, dan skema. Sehingga dapat disimpulkan bahwa proses mekanisme mental siswa truth-seekers dalam penelitian ini tidak lengkap walaupun struktur mentalnya telah dikonstruk semua dalam pikirannya. Model yang ditemukan untuk meningkatkan proses berpikir kritis berdasarkan temuan penelitian adalah model pembelajaran infusi dengan memfokuskan pada pembiasaan pemecahan masalah matematika dengan informasi yang kontadiksi.

Keywords

Critical Thinking; Truth-Seeking; Problem with Contradictory Information, Mechanism and Mental Structure

Full Text:

PDF

References

Akinoğlu, O., & Karsantik, Y. (2016). Pre-Service Teachers’ Opinions on Teaching Thinking Skills. International Journal of Instruction, 9(2), 61–76. https://doi.org/10.12973/iji.2016.925a

Arnon, I., Cottrill, J., & Dubinsky, E. (2014). APOS Theory.

As’ari, A. R., Kurniati, D., Maharani, S., & Basri, H. (2019). Ragam Soal Matematis untuk Mengembangkan Disposisi Berpikir Kritis (U. N. Malang (ed.); 1st ed.). Universitas Negeri Malang.

As’ari, A. R., Mahmudi, A., & Nuerlaelah, E. (2017). Our Prospective Mathematic Teachers are not Critical Thinkers Yet. Journal on Mathematics Education, 8(2), 145–156. https://doi.org/10.22342/jme.8.2.3961.145-156

Brijlall, D., & Bansilal, S. (2011). Student Teachers’ Engagement with Re-Contextualized Materials: A Case of Numerical Approximation. US-China Education Review A 5, 691-702

Broadbear, J., Jin, G., & Bierma, T. (2005). Critical Thinking Dispositions Among Undergraduate Students During Their Introductory Health Education Course. Health Educator, 37(1), 8–15.

Cheng, M. H. M., & Wan, Z. H. (2017). Exploring the Effects of Classroom Learning Environment on Critical Thinking Skills and Disposition: A study of Hong Kong 12th Graders in Liberal Studies. Thinking Skills and Creativity. 24, 152–163. https://doi.org/10.1016/j.tsc.2017.03.001

Christiyanto, D. Y., Sulandra, I. M., & Rahardi, R. (2018). Proses Berpikir Kritis Siswa Reflektif dalam Menyelesaikan Masalah Matematika pada Materi Sistem Persamaan Linier Dua Variabel. Jurnal Pendidikan: Teori, Penelitian, Dan Pengembangan, 3(2009), 1347–1358.

Cohen, J. (2010). Critical Thinking Dispositions and Profile of Critical Thinking Dispositions for Post-professional Graduate Athletic Training Stu-dents. In Doctoral Dissertations. http://repository.usfca.edu/diss/383

Dubinsky, E. (2000). Using a theory of learning in college mathematics courses. Teaching and learning undergraduate mathematics, 12, 10-15.

Ennis, R. H. (1989). Critical Thinking and Subject Specificity: Clarification and Needed Re-search. Educational Researcher, 18(3), 4–10. https://doi.org/10.3102/0013189X018003004

Ennis, R. H. (1996). Critical Thinking Dispositions: Their Nature and Accessibility. Informal Logic, 18(2), 165–182. https://doi.org/10.22329/il.v18i2.2378

Facione, P. A. (2000). The Disposition Toward Critical Thinking: Its Character, Measurement, and Relationship to Critical Thinking Skill. In-formal Logic, 20(1), 61–84. https://doi.org/10.22329/il.v20i1.2254

Facione, P. A., Sánchez, C. A., Facione, N. C., & Gainen, J. (1995). The disposition toward critical thinking. The Journal of General Education, 44(1), 1–25.

Fitriani, H., Asy’Ari, M., Zubaidah, S., & Mahanal, S. (2018). Critical Thinking Disposition of Prospective Science Teachers at IKIP Mataram, Indonesia. Journal of Physics: Conference Series, 1108(1), 5–11. Https://doi.org/10.1088/1742-6596/1108/1/012091

Font Moll, V., Trigueros, M., Badillo, E., & Rubio, N. (2016). Mathematical Objects through The Lens of Two Different Theoretical Perspectives: APOS and OSA. Educational Studies in Mathematics, 91(1), 107–122. https://doi.org/10.1007/s10649-015-9639-6

Inglis, M., & Alcock, L. (2012). Expert and Novice Approaches to Reading Mathematical Proofs. Journal for Research in Mathematics Education, 43(4), 358–390. https://doi.org/10.5951/jresematheduc.43.4.0358

Insight Assessment. (2017). California Critical Thinking Dispositions Inventory: A Measure of The Critical Thinking Mindset User, User Man-ual and Resource Guide. California Academic Press.

Kanbay, Y., & Okanlı, A. (2017). The Effect of Criti-cal Thinking Education on Nursing Students’ Problem-Solving Skills. Contemporary Nurse, 53(3), 313–321. https://doi.org/10.1080/10376178.2017.1339567

Kurniati, D. (2020). Changes of t he Students ’ Truth -Seeking Behavior during the Infusion Mathematics Learning. TEM Journal, 9(4), 1711-1720.

Kurniati, D., Purwanto, As’ari, A. R., & Dwiyana. (2018). Exploring The Mental Structure and Mechanism: How The Style of Truth-Seekers in Mathematical Problem-Solving? Journal on Mathematics Education, 9(2), 311–326. https://doi.org/10.22342/jme.9.2.5377.311-326

Kurniati, D., Purwanto, As’ari, A. R., & Dwiyana. (2019). The Truth-Seeking and Open-Mindedness of Pre-service Mathematics Teachers in The Solution of Non-Routine Problems. International Journal of Instruction, 12(1), 915–930. https://doi.org/10.29333/iji.2019.12159a

Kurniati, D., Purwanto, As’ari, A. R., Dwiyana, Subanji, & Susanto, H. (2019). Development and Validity of Problems with Contradictory Information and No Specified Universal Set to Measure The Truth-Seeking of Pre-service Mathematics Teachers. TEM Journal, 8(2), 545–553. https://doi.org/10.18421/TEM82-30

Kurniati, D., & Zayyadi, M. (2018). The Critical Thinking Dispositions of Students Around Coffee Plantation Area in Solving Algebraic Problems. International Journal of Engineering and Technology (UAE), 7(2), 18–20. https://doi.org/10.14419/ijet.v7i2.10.10946

Lai, E. R. (2011). Critical thinking: A literature re-view. Pearson's Research Reports, 6(1), 40-41.

Maričić, S., & Špijunović, K. (2015). Developing Critical Thinking in Elementary Mathematics Education Through a Suitable selection of Content and Overall Student Performance. Procedia-Social and Behavioral Sciences, 180, 653–659. https://doi.org/10.1016/j.sbspro.2015.02.174

Martínez-Planell, R., & Trigueros Gaisman, M. (2012). Students’ Understanding of The General Notion of a Function of Two Variables. Educational Studies in Mathematics, 81(3), 365–384. https://doi.org/10.1007/s10649-012-9408-8

Moleong, L. J. (2007). Metodologi Penelitian Kualitatif. Remaja Rosdakarya Offset.

Mulyono, M. (2011). Teori Apos Dan Implementa-sinya Dalam Pembelajaran. Journal of Mathe-matics and Mathematics Education, 1(1). https://doi.org/10.20961/jmme.v1i1.9924

Noruzi, M. R. (2010). An Exploration of Critical Thinking Necessities, Barriers and CAT MAGIC Notion. Acta Universitatis Danubius : Oeconomica, 6(1), 43–53.

Partnership for 21st Century learning. (2015). 21st Century Student Outcomes. 1–9. http://www.p21.org/our-work/p21-framework

Paul, R., & Elder, L. (2006). Critical thinking competency standards. Dillon Beach: Foundation for critical thinking.

Santrock, J. W. (2011). Educational Psychology (U. of T. at Dallas (ed.); Fifth Edit, Vol. 148).

Suparno, P. (1997). Filsafat Konstruktivisme dalam Pendidikan. Kanisius.

Tümkaya, S., Aybek, B., & Aldağ, H. (2009). An Investigation of University Students’ Critical Thinking Disposition and Perceived Problem Solving Skills. Egitim Arastirmalari - Eurasian Journal of Educational Research, 36, 57–58.

Refbacks

  • There are currently no refbacks.