Analisis Kemampuan Berpikir Kritis Mahasiswa Dalam Menyelesaikan Masalah Geometri

Firdaus Firdaus

doi:10.26858/jkp.v6i2.34002

Analisis Kemampuan Berpikir Kritis Mahasiswa Dalam Menyelesaikan Masalah Geometri

Firdaus Firdaus^(1*),

(1) UNM
(*) Corresponding Author

DOI: https://doi.org/10.26858/jkp.v6i2.34002

Abstract

: One of the essential skills for university students is their ability to think critically in solving mathematical problems. This study aims to analyze the students’ critical thinking ability in solving mathematical problems on the topic of geometry. The sample consisted of 25 students. Written tests and in-depth interviews were administered to research participants. The results of tests and interviews were qualitatively analyzed to describe university students’ critical thinking skills using the indicators of the Leveling of Critical Thinking Abilities (LCTA), namely LCTA-0, LCTA-1, LCTA-2, and LCTA-3. The results showed that 0% of students at the LCTA-0 level, 60% at the LCTA-1 level, 28% at the LCTA-2 level, and 12% at the LCTA-3 level. This study reveals that students’ lack of interaction with complex mathematical problems limits students’ critical thinking ability. Therefore, it is suggested that educators need to give more complex problems to develop students’ critical thinking ability.

Keywords

critical thinking; complex mathematical problem; LCTA

Full Text:

PDF

References

Adinda, A & Hamka. (2019). Critical Thinking Skills Of Students From The Aspect Of Strategy And Tactics In Solving Mathematics Problems. International Journal of Insights for Mathematics Teaching, 2(1), 47-56

Afriansyah E A , Herman T, Turmudi, & Dahlan J.A. (2021). Critical thinking skills in mathematics Critical thinking skills in mathematics. Seminar Nasional Matematika dan Pendidikan Matematika (SEMADIK) 2020 Journal of Physics: Conference Series 1778 (2021) 012013 IOP Publishing doi:10.1088/1742-6596/1778/1/012013

Aiyub, D, Suryadi, S., Fatimah, & Kusnandi. (2021). Investigation of Watson-Glaser Critical Thinking Skills Of Junior High School Students In Solving Mathematical Problems. Journal of Physics: Conference 1806 (2021),1-7. doi:10.1088/1742-6596/1806/1/012090

Aktaş, G. S., & Ünlü, M. (2013). Critical Thinking Skills of Teacher Candidates of Elementary Mathematics. Procedia - Social and Behavioral Sciences, 93, 831–835. https://doi.org/10.1016/j.sbs pro.2013.09.288

Aizikovitsh-Udi, E. (2012). Developing Critical Thinking in Mathematics Education. Developing Critical Thinking Through Probability Models, Intuitive Judgments And Decision Making Under Uncertainly. Saarbrucken: Lap Lambert Akademic Publishing

Aizikovitsh-Udi, E., & Cheng, D. (2015). Developing Critical Thinking Skills from Dispositions to Abilities: Mathematics Education from Early Childhood to High School. Creative Education, 6, 455-462

Applebaum, M. (2015). Activating pre-service mathematics teachers' critical thinking. European Journal of Science and Mathematics Education, 3(1), 77‐89

Araiku, J., Somakim, Pratiwi, W. D., Lestari, A. O., & Faradilla, N. (2020). Analisis Buku Matematika SMA Berdasarkan Standard For Mathematical Practice. Prima: Jurnal Pendidikan Matematika. 4(2), 137-153.

As’ari, A. R., Mahmudi, A., & Nuerlaelah, E. (2017). Our Prospective Mathematics 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

Butera, G., Amber Preisen, Palmer, S.B, Leiber, J., Horn, E.M., Hanson, M.J. & Czaja,C. (2014). Integrating Mathematics Problem Solving and Critical Thinking Into the Curriculum. Young Children (March), 70-77

Caceres, M., Nussbaum, M. & Ortis, J. (2020). Integrating Critical Thinking into the Classroom: A Teacher’s Perspektive. Thinking Skills and Creativity, 37(September 2020), https://doi.org/10.1016/j.tsc.2020.100674

Chigonga, B. (2017). Developing Mathematics Teachers’ Critical Thinking Skills Using A Geometrical Problem. Proceedings 25th Annual Meeting of the Southern African Association of Research in Mathematics, Science & Technology Education (SAARMSTE), 15-28

Chukwuyenum, A. N. (2013). Impact of Critical thinking on Performance in Mathematics among Senior Secondary School Students in Lagos State IOSR J of Research & Method in Education (IOSR-JRME) 3, 18-25

Creswell, J.W. (2017). Research Design: Qualitative, quantitative, and mixed methods approaches. Thousand Oaks, CA, USA.: Sage Publications.

Dinuta, N. (2015). The Use Of Critical Thinking In Teaching Geometric Concepts In Primary School. Procedia - Social And Behavioral Sciences, 180(2015),788–794 Available online at www.sciencedirect.com

Ennis, R.H. (2013). Critical Thinking Across the Curriculum: The Wisdom CTAC Program. Inquiry: Critical Thinking Across the Disciplines, 28(2), 25-45.

Facione, P. A. (2015). Critical Thinking: What It Is and Why It Counts. Millbrae CA. The California Academic Press.

Firdaus, F., Kailani, I., Bakar, M. N. Bin, & Bakry, B. (2015). Developing Critical Thinking Skills of Students in Mathematics Learning. Journal of Education and Learning (EduLearn), 9(3), 226-236. https://doi.org/10.11591/edulearn.v9i3.1830

Jablonka, E. (2020). Critical Thinking in Mathematics Education. In: Lerman S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_35

Karbalaei, A. (2012). Critical Thinking and Academic Achievement, Íkala, Revista De Lenguaje Y Cultura, 17(2), 121-128.

King, F. J., Goodson, L., & Rohani, F. (2013). Higher order thinking skills. Miami: Cala Press

Larsson, K. (2017). Understanding and Teaching Critical Thinking- A New Approach. International Journal of Educational Research, 84(2017), 32-42 https://doi.org/10.1016/j.ijer.2017.05.004

Maričića, S. & Špijunovićb, 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 ( 2015 ), 653 – 659

McPeck, J.E. (2017). Critical Thinking and Education. New York, USA: Routledge.

Monteleone,C., White,P., & Geiger,V. (2018). Defining the Characteristics of Critical Mathematical Thinking. In Hunter, J., Perger, P., & Darragh, L. (Eds.). Making waves, opening spaces (Proceedings of the 41st annual conference of the Mathematics Education Research Group of Australasia). 559- 566.

Nurmayani (2020). The analysis of students' mathematical critical thinking ability through discovery learning models. International Journal of Research and Review, 7(11), 233-241.

OECD (2019). PISA 2018 Results (Summary in Indonesia). What Students Know And Can Do Student Performance In Mathematics, Reading And Science: OECD Publishing.

Paul, R. & Elder L (2016). Critical thinking. Istanbul, TR: Nobel Publishing

Palavan, O. (2020). The Effect Of Critical Thinking Education On The Critical Thinking Skills And The Critical Thinking Dispositions Of Preservice Teachers. Educational Research and Reviews, 15(10), 606-627.

Peter, E. E. (2012). Critical thinking: Essence for teaching mathematics and mathematics problem solving skills. African Journal of Mathematics and Computer Science Research, 5(3), 39–43. https://doi.org/10.5897/AJMCSR11.161

Rasiman. (2015). Leveling Of Critical Thinking Abilities of Students of Mathematics Education In Mathematical Problem Solving. IndoMS-Journal on Mathematics Education, 6(1), 40-52

Safrida, L. N., Ambarwati, R. & Adawiyah, R. (2018). Analisis Kemampuan Berpikir Kritis Mahasiswa Program Studi Pendidikan Matematika, 6(April), 10–16.

Sugiono (2018). Metode Penelitian Kualitatif. Bandung: Alfabeta

Sumarmo, U. (2013). Berpikir dan Disposisi Matematik serta Pembelajarannya. FPMIPA UPI Bandung: Tidak diterbitkan.

Tee, K. N., Leong, K. E. & Rahim, S. S. A. (2018). The Mediating Effects of Critical Thinking Skills On Motivation Factors For Mathematical Reasoning Ability. The Asia-Pacific Education Researcher, 27(5), 373–382.

Uslu, S. (2020). Critical Thinking Dispositions of Social Studies Teacher Candidates. Asian Journal of Education and Training, 7(1), 72-79

Widyatiningtyas, R., Yaya S., Kusumah, Y.S. , Utari Sumarmo, U, Sabandar, J. (2015). The Impact of Problem-Based Learning Approach to Senior High School Students’ Mathematics Critical Thinking Ability. IndoMS-JME, 6(2), 30-38.