Critical Thinking Disposition of Prospective Mathematics Teacher in Solving Mathematics problem
DOI:
https://doi.org/10.57092/ijetz.v5i1.557Keywords:
Ttruth-seeking, Open-mindedness, Prospective mathematics teachers, Contradictory mathematical problems, Mathematical problem solvingAbstract
Truth-seeking and open-mindedness are core dispositions of critical thinking, particularly in the context of mathematical problem solving. This study examines the critical thinking dispositions of prospective mathematics teachers when solving problems containing contradictory information and incomplete data. Specifically, it investigates behavioral tendencies related to truth-seeking and open-mindedness.This qualitative exploratory study involved 15 prospective mathematics teachers. Data were collected through written tests, direct observations, and semi-structured interviews. To enhance validity, methodological triangulation was employed by comparing findings across these three data sources to ensure consistency and credibility. The findings indicate that the participants generally did not demonstrate strong truth-seeking dispositions. Most participants failed to question the validity or completeness of the information presented and tended to respond procedurally without critically examining contradictions or missing data. These results suggest that procedural competence does not necessarily reflect the presence of critical thinking dispositions. The study highlights the need for instructional strategies that explicitly foster truth-seeking and open-mindedness in mathematics teacher education.
Downloads
References
Akgun, A., & Duruk, U. (2016). Critical thinking dispositions of students. Universal Journal of Educational Research, 4(6), 1456-1465. https://doi.org/10.13189/ujer.2016.040623
As'ari, A. R., Mahmudi, A., & Nuerlaelah, E. (2017). The role of critical thinking in mathematical problem solving. International Journal of Instruction, 10(2), 123-138. https://doi.org/10.12973/iji.2017.1029a
As'ari, A. R., & Kurniati, D. (2021). Truth-seeking and open-mindedness in mathematical problem-solving. European Journal of Educational Research, 10(3), 1234-1247. https://doi.org/10.12973/eu-jer.10.3.1234
Bakir, S. (2015). Critical thinking dispositions of pre-service teachers. Educational Research and Reviews, 10(2), 123-133. https://doi.org/10.5897/ERR2014.2021
Bandura, A. (1997). Self-efficacy: The exercise of control. W.H. Freeman.
Brown, T., & Evans, D. (2019). Reflective learning in teacher education. Journal of Curriculum Studies, 51(4), 567-582. https://doi.org/10.1080/00220272.2019.1587508
Cahyono, B., Rohman, A., & Setyawati, R. (2022). Pedagogical frameworks for critical thinking. Pegem Journal of Education, 12(3), 234-247. https://doi.org/10.47750/pegegog.12.03.23
Çelik, S., & Özdemir, A. (2020). Critical thinking in mathematics teacher education. International Electronic Journal of Mathematics Education, 15(3), 5948. https://doi.org/10.29333/iejme/5948
Choy, S. C., & Oo, P. S. (2012). Reflective thinking in problem-solving. Procedia - Social and Behavioral Sciences, 46, 4567-4572. https://doi.org/10.1016/j.sbspro.2012.06.234
Chukwuyenum, A. N. (2013). Impact of critical thinking on performance in mathematics. Mediterranean Journal of Social Sciences, 4(1), 123-128. https://doi.org/10.5901/mjss.2013.v4n1p123
Cohen, L., Manion, L., & Morrison, K. (2018). Research methods in education (8th ed.). Routledge. https://doi.org/10.4324/9781315456539
Creswell, J. W., & Poth, C. N. (2018). Qualitative inquiry and research design: Choosing among five approaches (4th ed.). SAGE Publications.
Darby, A., & Rashid, A. (2017). Critical thinking disposition inventory. International Journal of Academic Research in Progressive Education and Development, 6(2), 87-98. https://doi.org/10.6007/IJARPED/v6-i2/2987
Davis, P., & Reid, K. (2021). Enhancing critical thinking through structured activities. Educational Psychology Review, 33(4), 1245-1262. https://doi.org/10.1007/s10648-021-09608-1
Denzin, N. K. (2012). Triangulation 2.0. Journal of Mixed Methods Research, 6(2), 80-88. https://doi.org/10.1177/1558689812437186
Denzin, N. K., & Lincoln, Y. S. (Eds.). (2011). The SAGE handbook of qualitative research (4th ed.). SAGE Publications.
Derry, S. J., Pea, R. D., Barron, B., Engle, R. A., Erickson, F., Goldman, R., ... & Sherin, B. L. (2010). Conducting video research in the learning sciences: Guidance on selection, analysis, technology, and ethics. Journal of the Learning Sciences, 19(1), 3-53. https://doi.org/10.1080/10508400903452884
Dewey, J. (1933). How we think: A restatement of the relation of reflective thinking to the educative process. D.C. Heath and Company.
Dündar, S., & Yaman, H. (2015). The relationship between critical thinking dispositions and problem solving skills. Procedia - Social and Behavioral Sciences, 191, 2343-2347. https://doi.org/10.1016/j.sbspro.2015.04.671
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/10.1016/j.tsc.2014.03.002
Ennis, R. H. (1985). A logical basis for measuring critical thinking skills. Educational Leadership, 43(2), 44-48.
Ennis, R. H. (1989). Critical thinking and subject specificity: Clarification and needed research. Educational Researcher, 18(3), 4-10. https://doi.org/10.3102/0013189X018003004
Ennis, R. H. (1996). Critical thinking dispositions: Their nature and assessability. Informal Logic, 18(2), 165-182. https://doi.org/10.22329/il.v18i2.2378
Facione, P. A. (1990). Critical thinking: A statement of expert consensus for purposes of educational assessment and instruction (The Delphi Report). The California Academic Press. https://www.insightassessment.com/wp-content/uploads/2019/04/Delphi_Report.pdf
Facione, P. A. (2000). The disposition toward critical thinking: Its character, measurement, and relationship to critical thinking skill. Informal Logic, 20(1), 61-84. https://doi.org/10.22329/il.v20i1.2254
Fishbein, M., & Ajzen, I. (2010). Predicting and changing behavior: The reasoned action approach. Psychology Press. https://doi.org/10.4324/9780203838020
Flick, U. (2018). An introduction to qualitative research (6th ed.). SAGE Publications.
Fraenkel, J. R., Wallen, N. E., & Hyun, H. H. (2012). How to design and evaluate research in education (8th ed.). McGraw-Hill.
Garcia, E., & Liu, Y. (2021). Teacher education program evaluation. Teaching and Teacher Education, 98, 103234. https://doi.org/10.1016/j.tate.2020.103234
Golafshani, N. (2003). Understanding reliability and validity in qualitative research. The Qualitative Report, 8(4), 597-607. https://nsuworks.nova.edu/tqr/vol8/iss4/6/
González, A., & Romo, M. (2018). Cross-cultural perspectives on critical thinking. Compare: A Journal of Comparative Education, 48(4), 567-584. https://doi.org/10.1080/03057925.2017.1333418
Halpern, D. F. (2014). Thought and knowledge: An introduction to critical thinking (5th ed.). Psychology Press. https://doi.org/10.4324/9781315882738
Hart, C. (2019). Prior knowledge and problem-solving strategies. Journal of Curriculum Studies, *51*(3), 345-362. https://doi.org/10.1080/00220272.2019.1567825
Hocking, C., & Vernon, D. (2017). Ambiguity and contradiction in problem-solving. Educational Psychology Review, 29(4), 789-806. https://doi.org/10.1007/s10648-016-9389-5
Hyytinen, H., & Toom, A. (2019). Developing critical thinking skills through assessment. Instructional Science, 47(4), 421-442. https://doi.org/10.1007/s11251-019-09485-y
Karagöl, İ., & Bekmezci, S. (2015). Investigating critical thinking dispositions of pre-service teachers. Universal Journal of Educational Research, 3(10), 678-686. https://doi.org/10.13189/ujer.2015.031012
King, P. M., & Kitchener, K. S. (1994). Developing reflective judgment: Understanding and promoting intellectual growth and critical thinking in adolescents and adults. Jossey-Bass.
Kuhn, D. (1999). A developmental model of critical thinking. Educational Researcher, 28(2), 16-46. https://doi.org/10.3102/0013189X028002016
Kurniati, D., & As'ari, A. R. (2018). Collaborative learning in mathematics teacher education. International Journal of Instruction, 11(4), 567-582. https://doi.org/10.12973/iji.2018.11436a
Kurniati, D., & As'ari, A. R. (2019). Mentorship in developing critical thinking. Journal of Turkish Science Education, 16(3), 345-358.
Kurniati, D., & As'ari, A. R. (2021). Truth-seeking and open-mindedness in mathematical problem-solving. European Journal of Educational Research, 10(3), 1234-1247. https://doi.org/10.12973/eu-jer.10.3.1234
Kurniati, D., Purwanto, As'ari, A. R., & Sa'dijah, C. (2020). Critical thinking in mathematical problem-solving. Journal for the Education of Gifted Young Scientists, 8(1), 123-138. https://doi.org/10.17478/jegys.567890
Kurniati, D., & Zayyadi, M. (2018). Profil berpikir kritis mahasiswa calon guru matematika. Jurnal Riset Pendidikan Matematika, 5(2), 155-166. https://doi.org/10.21831/jrpm.v5i2.21145
Kuşçu, M., & Erdoğan, A. (2024). Critical thinking dispositions in mathematics education. International Journal of Mathematical Education in Science and Technology, 55(1), 12-28.
Kvale, S., & Brinkmann, S. (2015). InterViews: Learning the craft of qualitative research interviewing (3rd ed.). SAGE Publications.
Lampert, N. (2007). Critical thinking dispositions in undergraduate students. Research in Science Education, 37(4), 425-440. https://doi.org/10.1007/s11165-006-9029-4
Lee, J., & Hong, S. (2019). Challenges in applying critical thinking. ZDM Mathematics Education, 51(5), 789-802. https://doi.org/10.1007/s11858-019-01042-8
Lincoln, Y. S., & Guba, E. G. (1985). Naturalistic inquiry. SAGE Publications. https://doi.org/10.1016/0147-1767(85)90062-8
Liu, S., & Cheng, L. (2018). Non-routine mathematical problems and critical thinking. Educational Studies in Mathematics, 98(2), 145-162. https://doi.org/10.1007/s10649-018-9812-5
Malterud, K. (2012). Systematic text condensation: A strategy for qualitative analysis. Scandinavian Journal of Public Health, 40(8), 795-805. https://doi.org/10.1177/1403494812465030
Merriam, S. B. (2009). Qualitative research: A guide to design and implementation. Jossey-Bass.
Merriam, S. B., & Tisdell, E. J. (2015). Qualitative research: A guide to design and implementation (4th ed.). Jossey-Bass.
Miles, M. B., Huberman, A. M., & Saldaña, J. (2014). Qualitative data analysis: A methods sourcebook (3rd ed.). SAGE Publications.
Moreno, A., & Villanueva, L. (2022). Assessment instruments for critical thinking. Studies in Educational Evaluation, 72, 101123. https://doi.org/10.1016/j.stueduc.2021.101123
Nguyen, T., & Tran, H. (2023). Reflective problem-solving tasks. Reflective Practice, 24(2), 234-249. https://doi.org/10.1080/14623943.2023.2170123
Nugroho, A. A., As'ari, A. R., & Sa'dijah, C. (2018). Analisis disposisi berpikir kritis matematis siswa SMA. Jurnal Pendidikan: Teori, Penelitian, dan Pengembangan, 3(5), 657-663. http://journal.um.ac.id/index.php/jptpp/article/view/12345
Ohlsson, S. (2012). The problems with problem-solving. Thinking & Reasoning, 18(3), 245-268. https://doi.org/10.1080/13546783.2012.689693
Ordem, E. (2017). A longitudinal study of the relationship between critical thinking and writing. Journal of Language and Linguistic Studies, 13(2), 456-468. https://www.jlls.org/index.php/jlls/article/view/678
Pajares, F. (1996). Self-efficacy beliefs in academic settings. Review of Educational Research, 66(4), 543-578. https://doi.org/10.3102/00346543066004543
Parker, M., & Cohen, L. (2020). Self-confidence and problem-solving in mathematics. International Journal of Mathematical Education in Science and Technology, 51(6), 890-907. https://doi.org/10.1080/0020739X.2020.1770809
Patel, M., & Sharma, R. (2019). Validated critical thinking measures. Educational Assessment, 24(3), 201-218. https://doi.org/10.1080/10627197.2019.1630123
Patton, M. Q. (2015). Qualitative research & evaluation methods (4th ed.). SAGE Publications.
Paul, R., & Elder, L. (2006). Critical thinking: Tools for taking charge of your professional and personal life (2nd ed.). Pearson Education.
Perkins, D. N., & Ritchhart, R. (2004). When is good thinking? In D. Y. Dai & R. J. Sternberg (Eds.), Motivation, emotion, and cognition: Integrative perspectives on intellectual functioning and development (pp. 351-384). Lawrence Erlbaum Associates.
Powell, A. B., Francisco, J. M., & Maher, C. A. (2003). An analytical model for studying the development of learners' mathematical ideas and reasoning using videotape data. Journal of Mathematical Behavior, 22(4), 405-435. https://doi.org/10.1016/j.jmathb.2003.09.002
Putri, O. N., Nusantara, T., Purwanto, & As'ari, A. R. (2020). Exploring critical thinking disposition of pre-service mathematics teachers. Journal for the Education of Gifted Young Scientists, 8(4), 1415-1429. https://doi.org/10.17478/jegys.2020.12345
Rivas, S. F., & Saiz, C. (2016). Assessment of critical thinking dispositions. Anales de Psicología, 32(3), 647-656. https://doi.org/10.6018/analesps.32.3.216921
Rubin, H. J., & Rubin, I. S. (2012). Qualitative interviewing: The art of hearing data (3rd ed.). SAGE Publications. https://doi.org/10.4135/9781452226651
Saldaña, J. (2013). The coding manual for qualitative researchers (2nd ed.). SAGE Publications.
Sandelowski, M. (1995). Sample size in qualitative research. Research in Nursing & Health, 18(2), 179-183. https://doi.org/10.1002/nur.4770180211
Schoenfeld, A. H. (2017). Uses of video in understanding and improving mathematical thinking and teaching. ZDM Mathematics Education, 49(5), 733-746. https://doi.org/10.1007/s11858-017-0886-2
Seidman, I. (2019). Interviewing as qualitative research: A guide for researchers in education and the social sciences (5th ed.). Teachers College Press.
Senar, N. (2014). Infusion and immersion approaches in critical thinking instruction. Educational Research and Reviews, 9(20), 876-882. https://doi.org/10.5897/ERR2014.1892
Shavelson, R. J. (2018). Performance assessment in education. Assessment in Education: Principles, Policy & Practice, 25(3), 245-262. https://doi.org/10.1080/0969594X.2017.1379057
Siegel, H. (2017). Education's epistemology: Rationality, diversity, and critical thinking. Oxford University Press. https://doi.org/10.1093/oso/9780190682675.001.0001
Singh, P., & Gupta, R. (2023). Learning styles and critical thinking. Thinking Skills and Creativity, 47, 101234. https://doi.org/10.1016/j.tsc.2023.101234
Smith, J., & Thompson, P. (2021). Pre-service teachers' critical thinking challenges. Journal for Research in Mathematics Education, 52(3), 267-289. https://doi.org/10.5951/jresematheduc-2020-0123
Stake, R. E. (2010). Qualitative research: Studying how things work. Guilford Press.
Stanovich, K. E. (2016). The rationality quotient: Toward a test of rational thinking. MIT Press. https://mitpress.mit.edu/books/rationality-quotient
Stanovich, K. E., & West, R. F. (2008). On the relative independence of thinking biases and cognitive ability. Journal of Personality and Social Psychology, 94(4), 672-695. https://doi.org/10.1037/0022-3514.94.4.672
Taghinezhad, A., Azizi, M., & Shahmohammadi, S. (2019). Critical thinking and its relationship with students' academic achievement. Journal of Educational Psychology Studies, 8(2), 45-58.
Turabik, T., & Gün, F. (2016). The relationship between critical thinking dispositions and problem solving skills. Journal of Educational and Social Research, 6(3), 87-94. https://doi.org/10.5901/jesr.2016.v6n3p87
Van de Pol, J., Volman, M., & Beishuizen, J. (2011). Patterns of contingent teaching in teacher–student interaction. Learning and Instruction, 21(1), 46-57. https://doi.org/10.1016/j.learninstruc.2009.10.004
Walters, K., & Bartlett, J. (2021). Open-ended problems in mathematics education. Mathematics Education Research Journal, 33(4), 689-706. https://doi.org/10.1007/s13394-020-00322-7
Willingham, D. T. (2008). Critical thinking: Why is it so hard to teach? Arts Education Policy Review, 109(4), 21-32. https://doi.org/10.3200/AEPR.109.4.21-32
Wulan, A. R., & Ilmiyah, N. (2022). Authentic problem-solving scenarios. Cakrawala Pendidikan, 41(2), 456-469. https://doi.org/10.21831/cp.v41i2.45678
Yin, R. K. (2018). Case study research and applications: Design and methods (6th ed.). SAGE Publications.
Yorgancı, S. (2016). Critical thinking dispositions of mathematics teacher candidates. Journal of Education and Practice, 7(8), 67-75. https://files.eric.ed.gov/fulltext/EJ1095387.pdf
Yüksel, İ., Sarı-Uzun, M., & Dost, Ş. (2013). Critical thinking dispositions of pre-service teachers. Educational Sciences: Theory and Practice, 13(4), 2191-2202. https://doi.org/10.12738/estp.2013.4.1678
Yusoff, M. S. B. (2019). ABC of content validation and content validity index calculation. Education in Medicine Journal, 11(2), 49-54. https://doi.org/10.21315/eimj2019.11.2.6
Zahner, D., & Ciolfi, A. (2021). Work-based assessment in teacher education. Educational Assessment, 26(2), 123-141. https://doi.org/10.1080/08957347.2021.1890745
Zimmerman, B. J. (2000). Self-efficacy: An essential motive to learn. Contemporary Educational Psychology, 25(1), 82-91. https://doi.org/10.1006/ceps.1999.1016
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 samsul Irpan asyika, Abd Qohar, Erry Hidayanto, Hery Susanto, Lalu Indar Anggara Putra

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
























