International Association of Educators   |  ISSN: 2834-7919   |  e-ISSN: 1554-5210
International Journal of Progressive Education
International Association of Educators

Original article | International Journal of Progressive Education 2020, Vol. 16(4) 81-98

Mathematical Thinking as a Predictor of Critical Thinking Dispositions of Pre-service Mathematics Teachers

Halil Coşkun Çelik & Furkan Özdemir

pp. 81 - 98   |  DOI: https://doi.org/10.29329/ijpe.2020.268.6   |  Manu. Number: MANU-1910-26-0001

Published online: August 13, 2020  |   Number of Views: 686  |  Number of Download: 1066

Save PDF

Abstract

The aim of this study was to examine the relationship between mathematics thinking sub-dimensions (higher order thinking, reasoning, mathematical thinking and problem-solving) and critical thinking disposition. In addition, this study investigated whether mathematical thinking sub-dimensions are significant predictors of critical thinking disposition. This research was designed as a correlation type relational survey model. The study group consisted of 181 (73 female and 108 male) pre-service mathematics teachers studying at the Faculty of Education of a state university in the South East Anatolia Region of Turkey. Data were collected through personal information form, “mathematical thinking scale”, and “California critical thinking disposition inventory”. The analysis of data was made with multiple regression analysis. As a result of the study, it was found that there is a significant relationship between critical thinking and higher order thinking, reasoning, mathematical thinking skills and problem-solving sub-dimensions. In addition, the predictors of critical thinking disposition were found to have reasoning, mathematical thinking skills and problem-solving sub-dimensions. Results also illustrated that reasoning; mathematical thinking skills and problem-solving sub-dimensions was a significant predictor of critical thinking dispositions. In this context, the study was discussed in the context of the development of critical thinking of pre-service mathematics teacher. Research results were discussed in the context of the development of mathematical thinking and critical thinking dispositions of pre-service mathematics teachers.

Keywords: Mathematical Thinking, Problem Solving, Predictors of Critical Thinking, Reasoning, Regression Analysis.

How to Cite this Article?

APA 6th edition
Celik, H.C. & Ozdemir, F. (2020). Mathematical Thinking as a Predictor of Critical Thinking Dispositions of Pre-service Mathematics Teachers . International Journal of Progressive Education, 16(4), 81-98. doi: 10.29329/ijpe.2020.268.6

Harvard
Celik, H. and Ozdemir, F. (2020). Mathematical Thinking as a Predictor of Critical Thinking Dispositions of Pre-service Mathematics Teachers . International Journal of Progressive Education, 16(4), pp. 81-98.

Chicago 16th edition
Celik, Halil Coskun and Furkan Ozdemir (2020). "Mathematical Thinking as a Predictor of Critical Thinking Dispositions of Pre-service Mathematics Teachers ". International Journal of Progressive Education 16 (4):81-98. doi:10.29329/ijpe.2020.268.6.
References
  1. Abrami, P. C., Bernard, R. M., Borokhovski, E., Wade, A., Surkes, M. A., Tamim, R., & Zhang D. (2008). Instructional interventions affecting critical thinking skills and dispositions: A stage 1 meta-analysis, Review of Educational Research, 78(4), 1102–1134. Doi: 10.3102/0034654308326084 [Google Scholar]
  2. Adıgüzel, A. (2017). Curriculum development process in education. In B. Oral & T. Yazar (Ed.), Curriculum development and evaluation in education (pp. 175-201). Ankara: Pegem Academy. [Google Scholar]
  3. 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. Doi:10.4236/ce.2015.64045 [Google Scholar]
  4. Aktaş, G. S., & Ünlü, M. (2013). Critical thinking skills of teacher candidates of elementary mathematics. Procedia-Social and Behavioral Sciences, 93, 831-835. Doi: 10.1016/j.sbspro.2013.09.288 [Google Scholar]
  5. Alhassora, N.S.A., Abu, M.S., & Abdullah, A. H. (2017). Inculcating higher-order thinking skills in mathematics: Why is it so hard? Man, in India, 97(13), 51-62. [Google Scholar]
  6. Aliustaoğlu, F., & Tuna, A. (2015). Investigation of critical thinking dispositions of teacher candidates (Kastamonu University sample) The Journal of International Education Science, 2(4), 131-142. [Google Scholar]
  7. Alkan, H., & Güzel, E. B. (2005). Development of mathematical thinking in the student teachers. Gazi University Journal of Gazi Educational Faculty, 25(3), 221-236. [Google Scholar]
  8. Alkan, H., & Taşdan, B. T. (2011). Mathematical thinking through the eyes of prospective mathematics teachers at different grade levels. Inonu University Journal of the Faculty of Education, 12(2), 107-138. [Google Scholar]
  9. Alper, A. (2010). Critical thinking disposition of pre-service teachers. Education and Science, 35 (158), 14-27. [Google Scholar]
  10. Apino, E., & Retnawati, H. (2016). Developing mathematical higher order thinking skills of senior high school students. Journal of Phisycs: Conference Series, 812, 1-7. Doi: 10.1088/1742-6596/812/1/012100 [Google Scholar]
  11. Arslan, Ç., & İlkörücü, Ş. (2018). Preservice mathematics and science teachers’ mathematical thinking levels. Erzincan University Journal of Education Faculty, 20(1), 156-166. Doi: 10.17556/erziefd.310384 [Google Scholar]
  12. Altun, M. (1995). A study on the problem-solving behaviours of the elemamtary school students in the 3th. 4th and 5th grades (Unpublished doctoral dissertation). Hacettepe University, Ankara, Turkey. [Google Scholar]
  13. Aslan, S. (2018). The relationship between critical thinking skills and democratic attitudes of 4th class primary school students. International Journal of Progressive Education, 14(6), 61-69. Doi: 10.29329/ijpe.2018.179.5 [Google Scholar]
  14. Başaran, S. (2011). An exploration of affective and demographic factors that are related to mathematical thinking and reasoning of university students (Unpublished doctoral dissertation). METU, Ankara, Turkey. [Google Scholar]
  15. Belecina, R. R., & Jose M. O. J. (2018). Effecting change on students’ critical thinking in problem-solving. EDUCARE: International Journal for Educational Studies, 10(2), 109-118. [Google Scholar]
  16. Beyer, B. K. (1988). Developing a scope and sequence for thinking skills instruction. Educational Leadership, 7, 26-30. [Google Scholar]
  17. Blitzer, R. (2003). Thinking mathematically. New Jersey: Prentice Hall. [Google Scholar]
  18. Busbridge, J., & Özçelik, D. A. (1997). Elementary Mathematics teaching. YÖK / Dünya bank national education development project, initial teacher training. Ankara: Ajans-Türk Publishing. [Google Scholar]
  19. Büyüköztürk, Ş. (2018). Data analysis handbook for social sciences. Ankara: Pegem Academy. [Google Scholar]
  20. Chukwuyenum, A. N. (2013). Impact of critical thinking on performance in Mathematics among senior secondary school students in Lagos State. IOSR Journal of Reasearch & Method in Education (IOSR-JRME), 3(5), 18-25. [Google Scholar]
  21. Cobb, P., Wood, T., Yackel, E., & McNeal, B. (1992). Characteristics of classroom Mathematics tradition: An interactional analysis. American Educational Research Journal, 29, 573-604. [Google Scholar]
  22. Cüceloğlu, D. (1994). Think well and make the right decision (6th Edition). Istanbul: Sistem Publishing. [Google Scholar]
  23. Çakır, N. A., & Senemoğlu, N. (2016). Analytical thinking skills in higher education. Kastamonu Education Journal, 24(3), 1487-1502. [Google Scholar]
  24. Deringöl, Y. (2017). Determining critical thinking standards of teacher candidates. Igdir University Journal of Social Sciences, 13, 44-65. [Google Scholar]
  25. Dewey, J. (1910). How we think. Boston: D. C. Heath Publications. [Google Scholar]
  26. Duran, N. (2005). A research on mathematical thinking skills (Unpublished master thesis). Hacettepe University, Ankara, Turkey. [Google Scholar]
  27. Emir, S. (2012). Critical thinking dispositions of education faculty students. HAYEF: Journal of Education, 17(1), 34-57. [Google Scholar]
  28. Erktin, E. (2002). Developing thinking skills in elementary education. Journal of Educational Sciences, 16, 61-70. [Google Scholar]
  29. Ersoy, E., & Başer, N. (2013). The development of mathematical thinking scale. Kastamonu Education Journal, 21(4), 1471-1486. [Google Scholar]
  30. Ersoy, E., & Güner, P. (2014). Mathematics teaching and mathematical thinking. Journal of Research in Education and Teaching, 3(2), 102-112. [Google Scholar]
  31. Eryaman, M. Y. (2007). From reflective practice to practical wisdom: Toward a post-foundational teacher education. International Journal of Progressive Education, 3(1), 87-107. [Google Scholar]
  32. Facione, P. A. (1990). The california critical thinking skills test: College level, technical report 3, gender, ethnicity, major, self-esteem and the CCTST. Millbrae: The California Academic Press. [Google Scholar]
  33. Firdaus, F., Kailani, I., Bakar, M. N. B., & Bakry, B. (2015). Developing critical thinking skills of students in Mathematics learning. Journal of Education and Learning, 9(3), 226-236. [Google Scholar]
  34. Fonga, C.J., Kima, Y., Davisa, C.W., Hoanga, T., & Kimb, Y. W. (2017). A meta-analysis on critical thinking and community college student achievement. Thinking Skills and Creativity 26, 71–83. Doi: 10.1016/j.tsc.2017.06.002 [Google Scholar]
  35. Gündoğdu, H. (2009). Critical thinking and some misperceptions on teaching critical thinking. Celal Bayar University Jornal of Social Sciences, 7(1), 57-74. [Google Scholar]
  36. Hacısalihoğlu, H., Mirasyedioğlu, Ş., & Akpınar, A. (2003). Teaching mathematics: Constructivist learning and teaching in Mathematics. Ankara: Asil Publishing. [Google Scholar]
  37. Halpern, D. F. (1999). Teaching for critical thinking: Helping college students develop the skills and dispositions of a critical thinker. New Directions for Teaching and Learning, 80, 69-74. Doi: 10.1002/tl.8005 [Google Scholar]
  38. Halpern, D. F. (2003). Thought & knowledge: An introduction to critical thinking. USA: Lawrence Erlbaum Associates, Inc. [Google Scholar]
  39. Henderson, P. B., Hichtner, L., Fritz, S. J., Marion, B., Scharff, C., Hamer, J., & Riedesel, C. (2002). Materials development in support of mathematical thinking. ACM SIGCSE Bulletin, 35(2), 185–190.  Doi: 10.1145/782941.783001 [Google Scholar]
  40. Heng, M. A., & Sudarshan, A. (2013). "Bigger number means you plus!" teachers learning to use clinical interviews to understand students' mathematical thinking. Educational Studies in Mathematics, 83 (3), 471-485. Doi: 10.1007/s10649-013-9469-3 [Google Scholar]
  41. Husnaeni. (2016). The enhancement of mathematical critical thinking ability of aliyah madrasas student model using gorontalo by interactive learning setting cooperative model. Journal of Education and Practice, 7(8), 159-164.   [Google Scholar]
  42. Jacob, S. M. (2012). Mathematical achievement and critical thinking skills in asynchronous discussion forums. Procedia-Social and Behavioral Sciences, 31, 800-804. [Google Scholar]
  43. Jacobs, V. R., Lamb, L. L. C., & Philipp, R. A. (2010). Professional noticing of children's mathematical thinking. Journal for Research in Mathematics Education, 41(2), 169-202. [Google Scholar]
  44. Kahane, H., & Cavender, N. (2006). Logic and contemporary rhetoric: The use of reason in everyday life (Tenth Ed.). Belmont, California: Wadsworth. [Google Scholar]
  45. Karasar, N. (2012). Scientific research method. Ankara: Nobel Academic Publishing. [Google Scholar]
  46. Karbalaei, A. (2012). Critical thinking and academic achievement. Medellin- Colombia, 17(2), 121-128.  [Google Scholar]
  47. Kargar, M., Tarmizi, R. A., & Bayat, S. (2010). Relationship between mathematical thinking, Mathematics anxiety and Mathematics attitudes among university students. Procedia Social and Behavioral Sciences, 8, 537–542. Doi: 10.1016/j.sbspro.2010.12.074 [Google Scholar]
  48. Kölemen, C. Ş., & Erişen, Y. (2017).  An investigation on the relationship between problem-solving and critical thinking skill, and academic achievement of vocational and technical high school students. Turkey Education Journal, 2(2), 42-60. [Google Scholar]
  49. Kökdemir, D. (2003). Decision making and problem-solving under uncertainty (Unpublished doctoral dissertation). Ankara Universiy, Ankara.  [Google Scholar]
  50. Krulik, S., & Rudnick, J. A. (1995). The new sourcebook for teaching reasoning and problem-solving in elementary school. Needham Heights: Allyn & Bacon. [Google Scholar]
  51. Kurfiss, J. G. (1988). Critical thinking: theory, research, practice and possiblities. ASHE-ERIC Higher Education Report No.2, Washington, D.C.: Association for the Study of Higher Education.  [Google Scholar]
  52. Kutluca, A. Y. (2018). The investigation of variables predicting prospective teachers' problem-solving skills. Asian Journal of Instruction, 6(1), 1-20. [Google Scholar]
  53. Leech, N. L., Barrett, K.C., & Morgan, G.A. (2005). SPSS for intermediate statistics, use and interpretation (Second edition). Lawrence Erlbaum Associates Publishers, New Jersey.  [Google Scholar]
  54. Magno, C. (2013). Assessing students' critical thinking and approaches to learning. The International Journal of Educational and Psychological Assessment January, 12(2), 19-32. [Google Scholar]
  55. Mansoor, F., & Pezeshki, M. (2012). Manipulating critical thinking skills in test taking. International Journal of Education, 4(1), 153-160. [Google Scholar]
  56. Mason, J., Burton, L., & Stacey, K. (2010). Thinking mathematically (Second edition). Harlow England: Pearson Education Limited. [Google Scholar]
  57. Mayer, R. E. (1992). Thinking, problem solving, cognition. New York: Freeman. [Google Scholar]
  58. McCormick, R. (1996). Instructional methodology. In P. J. Williams & A. P. Williams (Eds.), Technology education for teachers (pp. 63–92). Melbourne: Macmillan. [Google Scholar]
  59. Mcpeck, J. E. (1981). Critical thinking and education. New York, NY: Routledge. [Google Scholar]
  60. MEB. (2013). Secondary school mathematics curriculum (Grades 5, 6, 7 and 8). Ankara: Talim Terbiye Kurulu Başkanlığı. Retrieved from https://ttkb.meb.gov.tr [Google Scholar]
  61. Meyers, C. (1986). Teaching students to think critically. San Francisco, CA: Jossey Bass. [Google Scholar]
  62. Napitupulu, E. E. (2017). Analyzing the teaching and learning of mathematical reasoning skills in secondary school. Asian Social Science, 13(12), 167-173. [Google Scholar]
  63. NCTM. (2000). Principles and standards for school mathematics. Reston, VA: NCTM. [Google Scholar]
  64. Ocak, G., Eymir, E., & Ocak, İ. (2016). Investigation of pre-service teachers’ critical thinking tenden-cies in terms of different variables. Erzincan University Journal of Education Faculty, 18(1), 63-91. [Google Scholar]
  65. Olkun, S., & Uçar, Z. T. (2004). Activity based mathematics education in primary education (3rd edition). Ankara: Anı Publishing. [Google Scholar]
  66. Ovayolu, Ö. (2010). The range of scores in competency clusters of Turkish students in Mathematics sub-test according to PISA 2006 (Unpublished master thesis). Ankara Universiy, Ankara. [Google Scholar]
  67. Özcan, Z. C. (2017). Critical thinking skills and mathematics performance of middle school students.  Journal of Civilization Education Research, 1(1), 43-52. [Google Scholar]
  68. Özelçi, S. Y. (2012). Factors affecting critical thinking attitude: A study on primary pre-service teachers (Unpublished doctoral dissertation). Adnan Menderes University, Aydın, Turkey. [Google Scholar]
  69. Palavan, Ö., Gemalmaz, N., & Kurtoğlu, D. (2015). Perspectives of classroom teachers on critical thinking skill and its improvement in students. Mustafa Kemal University Journal of Graduate School of Social Sciences, 12(30), 26-49. [Google Scholar]
  70. Prayitno, A. (2018). Characteristics of students' critical thinking in solving mathematics problem. The Online Journal of New Horizons in Education, 8(1), 46-55.  [Google Scholar]
  71. Rajendran, N. S. (2010). Teaching and acquiring higher order thinking skills: Theory and practice. Tanjong Malim, Perak: Penerbit Universiti Pendidikan Sultan Idris. [Google Scholar]
  72. Recalde, X. D. (2008). Teachers’ educational technology practices: Understanding teachers’ critical thinking skills and teachers’ cognitive demand practices in the classroom (Unpublished doctoral dissertation). Northen Illinois University, Illinois. [Google Scholar]
  73. Riccio, P. A. (2015). Predictors of improvement in critical thinking skills among nursing students in an online graduate nursing research course. Universal Journal of Educational Research, 3(9), 606-609, Doi: 10.13189/ujer.2015.030904 [Google Scholar]
  74. Rabinowitz, M. (Ed.) (1993). Cognitive science foundations of instruction. Hillsdale, N.J.: Erlbaum. [Google Scholar]
  75. Runisah, Herman, T., & Dahlan, J. A. (2016). The enhancement of students' critical thinking skills in mathematics through the 5E learning cycle with metacognitive technique. Advances in Social Science, Education and Humanities Research (ASSEHR), 57, 101-106. [Google Scholar]
  76. Sezer, N. (2019). Mathematical thinking processes and skills of secondary school students' longitudinal investigation (Unpublished doctorate dissertation). Uludağ University, Bursa, Turkey. [Google Scholar]
  77. Stacey, K., Burton, L., & Mason, J. (1985). Thinking mathematically. England: Addison-Wesley Publishers. [Google Scholar]
  78. Stobaugh, R. (2013). Assessing critical thinking in elementary schools: Meeting the common core. New York, NY: Routledge. [Google Scholar]
  79. Sumarna, N., Wahyudin, & Herman, T. (2017). The increase of critical thinking skills through mathematical investigation approach. IOP Conf. Series: Journal of Physics: Conference Series 812, 012067. Doi: 10.1088/1742-6596/812/1/012067  [Google Scholar]
  80. Suzuki, K. (1998). Measuring “to think mathematically”: cognitive characterization of achievement levels in performance-based assesment (Unpublished doctorate dissertation). University of Illinois at Urbana-Champaign. [Google Scholar]
  81. Şenşekerci, E., & Bilgin, A. (2008). Critical thinking and its teaching. Uludağ University International Journal of Social Inquiry, 9(14), 15-43 [Google Scholar]
  82. Tabachnick, B. G., & Fidell, L. S. (2013). Using multivariate statistics (6th Ed.). Boston: Allyn & Bacon. [Google Scholar]
  83. Tall, D. (2002). Advanced mathematical thinking. USA: Kluwer Academic Publishers. [Google Scholar]
  84. Taşdan, B. T., Çelik, A., & Erduran, A. (2013). Examination of mathematics teacher candidates' views on mathematical thinking and improving students' mathematical thinking. Kastamonu Education Journal, 21(4), 1487-1504. [Google Scholar]
  85. Taşdemir, A. (2008). The influences of mathematical thinking skills on the success, problem-solving skills and attitudes of students in primary schools at science and technology course (Unpublished doctoral dissertation). Gazi University, Ankara, Turkey.  [Google Scholar]
  86. Thomas, A., & Thorne, G. (2014). Higher-order thinking. Retrieved from http://www.readingrockets.org/article/higher-order-thinking  [Google Scholar]
  87. Title, P. (2011). Critical thinking an appeal to reason. New York, NY: Routledge. [Google Scholar]
  88. Toheri, T., & Winarso, W. (2017). Mathematical thinking undefended on the level of the semester for professional mathematics teacher candidates. MPRA Paper No. 78486. Retrieved from https://mpra.ub.uni-muenchen.de/78486/1/MPRA_paper_78486.pdf   [Google Scholar]
  89. Türnüklü, E. B., & Yeşildere, S. (2005). A profile from Turkey: Critical thinking dispositions and abilities of pre-service Mathematics teachers of 11-13 year. Ankara University, Journal of Faculty of Educational Sciences, 38(2), 167-185. [Google Scholar]
  90. Umay, A. (2003). Mathematical reasoning ability. Hacettepe University Journal of Education, 24, 234-243. [Google Scholar]
  91. Whitten, D., & Brahmasrene, T. (2011). Predictors of critical thinking skills of incoming business students. Academy of Educational Leadership Journal, 15(1), 1-13. [Google Scholar]
  92. Yeşildere, S., & Türnüklü, E. (2007). Examination of students’ mathematical thinking and reasoning processes. Ankara University, Journal of Faculty of Educational Sciences, 40(1), 181-213. [Google Scholar]
  93. Yüksel, N. S., Uzun, M. S., & Dost, Ş. (2013). Critical thinking tendencies of prospective mathematics teachers. Hacettepe University Journal of Education, Special Issue (1), 393-403.  [Google Scholar]
  94. Zhu, Y., Yu, W., & Cai, J. (2018). Understanding students’ mathematical thinking for effective teaching: A comparison between expert and nonexpert Chinese elementary Mathematics teachers. EURASIA Journal of Mathematics, Science and Technology Education, 14(1), 213-224. Doi: 10.12973/ejmste/78241. [Google Scholar]
Download
Metric
History
Related

Volume 16 Issue 4

August 2020

All Articles

International Journal of Progressive Education

International Association of Educators.
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Public License.
Privacy policy     |     Terms of Use     |     Use of Cookies
Creative Commons Lisansı
© 2012 - 2024 - THDSoft e-Journal Management System.