Students' Mathematical Critical Thinking Based on Self-Esteem Through Problem Based Learning in Geometry

Krida Singgih Kuncoro, Agustin Zakkia, Fitria Sulistyowati, Betty Kusumaningrum

Abstract


This study aims to describe and determine mathematical critical thinking skills based on students' self-esteem. This type of research is a mixed method with a sequential explanatory research design. The population in this study were first year mathematics education students who took geometry courses with the sampling technique used purposive sampling. Determination of the subjects grouped based on self-esteem with high, medium, and low categories to be interviewed about students' critical thinking skills. The instruments in this study were tests and interviews. The results showed that description of mathematical critical thinking skills in terms of self-esteem of students varied. Four students indicate this with high self-esteem obtained by mathematical critical thinking skills results in the form of two students in high category and two students in medium category. From 25 students with moderate self-esteem, the results of the mathematical critical thinking skills were obtained in the form of five high category students, 14 moderate category students, and six in the low category students. From three students with low self-esteem, the results of the mathematical critical thinking ability result in the form of one student in the high category and two students in the low category. It can be concluded that there is a not too significant effect on students' critical thinking skills. Meanwhile, there are differences in students' critical thinking skills in terms of self-esteem at high, medium, and low levels.

Keywords


mathematical critical thinking, self-esteem, problem-based learning

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References


Abdel-Khalek, A. M. (2016). Introduction to the psychology of self-esteem. Self-Esteem: Perspectives, Influences, and Improvement Strategies, 1–17.

Agoestanto, A., & Sukestiyarno, Y. L. (2017). Analysis of mathematics critical thinking students in junior high school based on cognitive style. Journal of Physics Conference Series, 824(1), 12052. https://doi.org/10.1088/1742-6596/824/1/012052

Ansori, H., Hidayanto, T., & Noorbaiti, R. (2020). Critical thinking skill of prospective mathematics teachers in solving the two-dimensional geometry problem. Journal of Physics: Conference Series, 1422(1), 12004. https://doi.org/10.1088/1742-6596/1422/1/012004

Bardach, L., & Klassen, R. M. (2020). Smart teachers, successful students? A systematic review of the literature on teachers’ cognitive abilities and teacher effectiveness. Educational Research Review, 30, 100312. https://doi.org/10.1016/j.edurev.2020.100312

Basri, H., Purwanto, As’ari, A. R., & Sisworo. (2019). Investigating critical thinking skill of junior high school in solving mathematical problem. International Journal of Instruction, 12(3), 745–758. https://doi.org/10.29333/iji.2019.12345a

Blascovich, J., Tomaka, J., Robinson, J. P., Shaver, P. R., & Wrightsman, L. S. (1991). Measures of self-esteem. Measures of Personality and Social Psychological Attitudes, 1, 115–160. https://doi.org/10.1016/B978-0-12-590241-0.50008-3

Changwong, K., Sukkamart, A., & Sisan, B. (2018). Critical thinking skill development: Analysis of a new learning management model for Thai high schools. Journal of International Studies, 11(2). https://doi.org/10.14254/2071-8330.2018/11-2/3

Creswell, J. W. (2009). Research design: Qualitative, quantitative, and mixed methods approaches (3rd ed). Research Design Qualitative Quantitative and Mixed Methods Approaches. https://doi.org/10.1016/j.math.2010.09.003

Dolapcioglu, S., & Doğanay, A. (2020). Development of critical thinking in mathematics classes via authentic learning: an action research. International Journal of Mathematical Education in Science and Technology, 1–24. https://doi.org/10.1080/0020739X.2020.1819573

Dwyer, C. P., Hogan, M. J., & Stewart, I. (2014). An integrated critical thinking framework for the 21st century. Thinking Skills and Creativity, 12, 43–52. https://doi.org/https://doi.org/10.1016/j.tsc.2013.12.004

Ennis, R. H. (1993). Critical Thinking Assessment. Theory into Practice, 32(3), 179–186. https://doi.org/10.1080/00405849309543594

Facione, P. A. (2011). Critical thinking: What it is and why it counts. Insight Assessment, 2007(1), 1–23.

Fennell, M. (2016). Overcoming low self-esteem: A self-help guide using cognitive behavioural techniques. Hachette UK.

Fong, C. J., Kim, Y., Davis, C. W., Hoang, T., & Kim, Y. W. (2017). A meta-analysis on critical thinking and community college student achievement. Thinking Skills and Creativity, 26, 71–83. https://doi.org/https://doi.org/10.1016/j.tsc.2017.06.002

Ghilay, Y., & Ghilay, R. (2017). ISMS: A new model for ımproving student motivation and self-esteem in primary education. International Electronic Journal of Elementary Education, 7(3), 383–398.

Harjo, B., Kartowagiran, B., & Mahmudi, A. (2019). Development of Critical Thinking Skill Instruments on Mathematical Learning High School. International Journal of Instruction, 12(4), 149–166. https://doi.org/https://doi.org/10.29333/iji.2019.12410a

Hasibuan, A. M., Saragih, S., & Amry, Z. (2018). Development of Learning Materials Based on Realistic Mathematics Education to Improve Problem Solving Ability and Student Learning Independence. International Electronic Journal of Mathematics Education. https://doi.org/10.29333/iejme/4000

Isoda, M., & Katagiri, S. (2012). Mathematical Thinking: How to Develop it in the Classroom (Monographs). World Scientific Publishing.

Jelatu, S. (2018). Effect of GeoGebra-Aided REACT Strategy on Understanding of Geometry Concepts. International Journal of Instruction, 11(4), 325–336. https://doi.org/https://doi.org/10.12973/iji.2018.11421a

Kuncoro, K. S., Junaedi, I., & Dwijanto, D. (2018). Analysis of problem solving on project based learning with resource based learning approach computer-aided program. Journal of Physics: Conference Series, 983(1), 12150. https://doi.org/10.1088/1742-6596/983/1/012150

McKay, M., & Fanning, P. (2016). Self-esteem: A proven program of cognitive techniques for assessing, improving, and maintaining your self-esteem. New Harbinger Publications.

Md, M. R. (2019). 21st Century skill “problem solving”: Defining the concept. Asian Journal of Interdisciplinary Research, 2(1), 64–74. https://doi.org/10.34256/ajir1917

Mulyanto, H., Gunarhadi, G., & Indriayu, M. (2018). The effect of problem based learning model on student mathematics learning outcomes viewed from critical thinking skills. International Journal of Educational Research Review, 3(2), 37–45. https://doi.org/10.24331/ijere.408454

Nappi, J. S. (2017). The importance of questioning in developing critical thinking skills. Delta Kappa Gamma Bulletin, 84(1), 30.

Royce, C. S., Hayes, M. M., & Schwartzstein, R. M. (2019). Teaching critical thinking: a case for instruction in cognitive biases to reduce diagnostic errors and improve patient safety. Academic Medicine, 94(2), 187–194. https://doi.org/10.1097/ACM.0000000000002518

Schultze-Krumbholz, A., Hess, M., Pfetsch, J., & Scheithauer, H. (2018). Who is involved in cyberbullying? Latent class analysis of cyberbullying roles and their associations with aggression, self-esteem, and empathy. Cyberpsychology: Journal of Psychosocial Research on Cyberspace, 12(4). https://doi.org/10.5817/CP2018-4-2

Shanta, S., & Wells, J. G. (2020). T/E design based learning: assessing student critical thinking and problem solving abilities. International Journal of Technology and Design Education, 1–19. https://doi.org/10.1007/s10798-020-09608-8

Sulistyowati, F., Budiyono, B., & Slamet, I. (2017). Problem Solving Reasoning and Problem Based Instruction in Geometry Learning. Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012045

Sulistyowati, F., Kuncoro, K. S., Setiana, D. S., & Purwoko, R. Y. (2019). Solving high order thinking problem with a different way in trigonometry. Journal of Physics: Conference Series, 1315(1), 12001. https://doi.org/10.1088/1742-6596/1315/1/012001

Susilo, B. E., Darhim, D., & Prabawanto, S. (2019). Students critical thinking skills toward concepts differences in finding area of a plane region and definite integral. Unnes Journal of Mathematics Education, 8(1), 1–7. https://doi.org/10.15294/ujme.v8i1.29463

Ulger, K. (2018). The effect of problem-based learning on the creative thinking and critical thinking disposition of students in visual arts education. Interdisciplinary Journal of Problem-Based Learning, 12(1). https://doi.org/10.7771/1541-5015.1649

Widodo, S. A., Pangesti, A. D., Istiqomah, I., Kuncoro, K. S., & Arigiyati, T. A. (2020). Thinking Process of Concrete Student in Solving Two-Dimensional Problems. Jurnal Pendidikan Matematika, 14(2), 117–128. https://doi.org/10.22342/jpm.14.2.9460.117-128




DOI: https://doi.org/10.46517/seamej.v11i1.122

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