skip to main content
10.1145/3348400.3348408acmotherconferencesArticle/Chapter ViewAbstractPublication PagesicmsttlConference Proceedingsconference-collections
research-article

Mathematical Critical Thinking and Creative Thinking Skills: How Does Their Relationship Influence Mathematical Achievement?

Published:28 June 2019Publication History

ABSTRACT

This paper examines the correlation of mathematical critical thinking and creative thinking skills towards students' mathematical achievements. A total of 115 eighth grade students from three schools in Sleman Regency were involved as the subject of this research. Data were obtained from the results of critical thinking skills test, the results of creative thinking skills test, and the results of mathematical achievement test on the learning material that students had studied in the previous semester. The instrument for testing critical thinking skills was the essay questions which measure the aspects of critical thinking skills, namely inference, analysis, evaluation, and interpretation, while the instrument for creative thinking skills test was also the essay questions which measure the aspects of creative thinking skills, namely originality, flexibility, and fluency. Besides, the data for the students' mathematical achievements were obtained from the report of mathematics achievement test prepared by the Mathematics Teachers' Working Group. The correlation of these variables was analyzed through multiple regression test. The analysis resulted a positive relationship between the mathematical critical thinking and creative thinking skills towards the mathematical achievement indicated by the regression coefficient R = 0.721 and R2 = 0.52. These values showed that the influence of mathematical critical thinking and creative thinking skills on the students' mathematical achievements was 52%, whereas 48% was influenced by other factors. Then, the coefficient value of creative thinking variable was β1 = 0.363 and the coefficient value of critical thinking variable was β2 = 0.477. These values indicated that if the creative thinking skill increases by one unit, the mathematical achievement increases by 0.363, on the other hand, if the critical thinking skill increases by one unit, the mathematical achievement increases by 0.477.

References

  1. J. Y. F. Lau, An Introduction to Critical Thinking and Creativity: Think More, Think Better. Hoboken: John Wiley & Sons, Inc., 2011.Google ScholarGoogle Scholar
  2. L. Tsui, "Fostering Critical Thinking through Effective Pedagogy Fostering Critical Thinking Through Effective Pedagogy Evidence from Four Institutional Case Studies," vol. 1546, no. January, 2017.Google ScholarGoogle Scholar
  3. A. Salim, R. Alghafri, H. Nizam, and B. Ismail, "The Effects of Integrating Creative and Critical Thinking on Schools Students â€TM Thinking," vol. 4, no. 6, 2014.Google ScholarGoogle Scholar
  4. Z. K. Liu, J. He, and B. Li, "Critical and creative thinking as learning processes at top-ranking Chinese middle schools: possibilities and required improvements," High Abil. Stud., vol. 26, no. 1, pp. 139--152, 2015.Google ScholarGoogle ScholarCross RefCross Ref
  5. S. Sanders, "Critical and creative thinkers in mathematics classrooms," J. Student Engagem. Educ. Matters, vol. 6, no. 1, pp. 19--27, 2016.Google ScholarGoogle Scholar
  6. A. Harris and L. R. de Bruin, "Training teachers for twenty-first century creative and critical thinking: Australian implications from an international study," Teach. Educ., vol. 29, no. 3, pp. 234--250, 2017.Google ScholarGoogle ScholarCross RefCross Ref
  7. S. M. Wechsler et al., "Creative and critical thinking: Independent or overlapping components?," Think. Ski. Creat., vol. 27, pp. 114--122, 2018.Google ScholarGoogle ScholarCross RefCross Ref
  8. E. R. Lai, "Critical Thinking: A Literature Review Research Report," no. June, 2011.Google ScholarGoogle Scholar
  9. P. Tittle, Critical Thinking: An Appeal to Reason. New York: Routledge, 2011.Google ScholarGoogle Scholar
  10. J. M. Firmender, A. Dilley, C. Amspaugh, K. Field, S. Lemay, and T. M. Casa, "Beyond Doing Mathematics Engaging Talented Students in Mathematically Creative Writing," vol. 40, no. 4, pp. 205--212, 2017.Google ScholarGoogle Scholar
  11. Š. Valéria, L. Rumanová, and G. Pavlovi, "Support of Pupil ' s Creative Thinking in Mathematical Education," vol. 116, pp. 1715--1719, 2014.Google ScholarGoogle Scholar
  12. C. Haught and Tromp, "Facilitating Creative Thinking in the 21st Century," Creat. Intell. 21st Century, no. 2016, pp. 107--117, 2016.Google ScholarGoogle ScholarCross RefCross Ref
  13. S. M. Jacob, "Social Mathematical achievement and critical thinking skills in asynchronous discussion forums," vol. 31, no. 2011, pp. 800--804, 2012.Google ScholarGoogle Scholar
  14. A. K. Bahar and C. J. Maker, "Exploring the Relationship between Mathematical Creativity and Mathematical Achievement," Asia-Pacific J. Gift. Talent. Educ., vol. 3, no. 1, pp. 33--48, 2011.Google ScholarGoogle Scholar
  15. M. Kattou, K. Kontoyianni, D. Pitta-Pantazi, and C. Christou, "Connecting mathematical creativity to mathematical ability," ZDM - Int. J. Math. Educ., vol. 45, no. 2, pp. 167--181, 2013.Google ScholarGoogle ScholarCross RefCross Ref
  16. NCTM, Principles and standards for school mathematics. Reston: VA: National Concil of Teacher of Mathematics., 2000.Google ScholarGoogle Scholar
  17. A. N. Chukwuyenum, "Impact of Critical thinking on Performance in Mathematics among Senior Secondary School Students in Lagos State," IOSR J. Res. Method Educ., vol. 3, no. 5, pp. 18--25, 2013.Google ScholarGoogle Scholar
  18. Z. Haseli, "The Effect of Teaching Critical thinking on Educational Achievement and Test Anxiety among Junior High School Students in Saveh," vol. 2, no. 2, pp. 168--175, 2013.Google ScholarGoogle Scholar
  19. T. K. Tyagi and T. K. Tyagi, "Mathematical Creativity and Mathematical Aptitude: A Cross-Lagged Panel Analysis Mathematical Creativity and Mathematical Aptitude: A Cross-Lagged Panel Analysis," vol. 419, no. August, 2016.Google ScholarGoogle Scholar

Index Terms

  1. Mathematical Critical Thinking and Creative Thinking Skills: How Does Their Relationship Influence Mathematical Achievement?

    Recommendations

    Comments

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in
    • Published in

      cover image ACM Other conferences
      ICMSTTL 2019: Proceedings of the 2019 International Conference on Mathematics, Science and Technology Teaching and Learning
      June 2019
      77 pages
      ISBN:9781450371674
      DOI:10.1145/3348400

      Copyright © 2019 ACM

      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 28 June 2019

      Permissions

      Request permissions about this article.

      Request Permissions

      Check for updates

      Qualifiers

      • research-article
      • Research
      • Refereed limited

    PDF Format

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader