The Relationship between Creative Thinking in Mathematics and Mathematical Modeling among University Students

Authors

  • Batoul M. Al-Eisa Ministry of Education, Irbid, Jordan
  • Mamoun M. Al-Shunnaq School of Education, Yarmouk University, Jordan
  • Eid M. Kana'an School of Education, Yarmouk University, Jordan

Keywords:

Creative Thinking in Mathematics ;Mathematical Modeling; University Students

Abstract

The study aims to reveal the relationship between creative thinking in mathematics and mathematical modeling among university students. The sample consisted of (120) mathematics and engineering students from Yarmouk University and Jordan Science and Technology University, during the summer semester of 2018/2019 academic year, who were selected by cluster sample method. Creative thinking in mathematics and mathematical modeling tests were used. The results showed that the creative thinking in mathematics and mathematical modeling levels among students was moderate. The results also showed a significant differences in mathematical modeling due to the specialization variable in favor of engineering students, while showed no differences due to gender; it's also showed no differences in creative thinking in mathematics due to gender and specialization variables. Moreover, the results showed a strong positive correlations between creative thinking in mathematics and mathematical modeling. According to these findings, the study recommended that students should be given the opportunity to practice creative thinking and mathematical modeling and skills through enriching school curricula and university courses with activities and tasks rich in life situations that require mathematical modeling.

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References

Abo Mezyed. M. (2012). Impact of using the mathematical modeling in developing the creative thinking skills in mathematics among sixth graders in Gaza Governorates.. Unpublished Master Thesis, Al Azhar University, Gaza.

Ahmed, S. (2010). The effectiveness of the integrated teaching system based on (problem solving approach- modeling learning approach- constructive learning approach) in developing achievement and innovative thinking in mathematics and their attitudes towards it in preparatory stage students. Unpublished master thesis, Al Mansorah University, Egypt.

Al-Akhras, Y. (2010). The effect of teaching using targeted survey strategy on developing mathematical modeling ability and problem solving for tenth grade students in Jordan. Unpublished master thesis, Jordanian University, Amman.

Al-Bado, A. (2017). Smart learning and its relationship to creative thinking and its tools most used by mathematics teachers in smart learning schools. Journal of Education and Psychological Sciences, Islamic University of Gaza, 25(2(, 347-368.

Al-Badri, H. (2014). The effect of using the idea generation strategy (S.C.A.M.P.E.R) on achievement and creative thinking in mathematics among fifth grade primary school students. Unpublished master thesis, Al-Mostanseriah University, Bagdad, Iraq.

Al-Howidi, Z. (2010). Mathematics teaching methods and strategies. (2nd ed.). Al Ain: University Dar Book.

Al-Yasein, M. (2019). Mathematical Modeling in Secondary Education in Jordan. Unpublished doctoral dissertation, Al Yarmouk Unversity, Irbid, Jordan.

Al-Zoebi, A. (2014). The effect of a teaching strategy based on problem solving in developing creative thinking skills for class teacher students. The Jordanian Journal of Educational Sciences, 10(3), 305-320.

Lahmer, S. (2007). The effectiveness of a proposed program in developing mathematical modeling skills among students / teachers, Mathematics Division, Faculty of Education at University of Aden. Unpublished doctoral dissertation, Ain Shams University, Cairo, Egypt.

Marzano, R. (2004). Thinking dimensions. (Yaqoop Husain Tran.). Amman: Dar Al-Furqan for Publishing, Printing and Distribution.

Obaid, W. (2004). Learning mathematics for all children in light of the standards and the culture of thinking. Amman: Dar Al Masirah for Publishing and Distribution.

Odeh, A. (2010). Measurement and evaluation in the teaching process. Irbid: Dar Al Amal.

Qasem, H. (2014). Modeling processes for undergraduates through engaging in modeling activities with and without a technological tool (qualitative study). Unpublished master thesis, An-Najah National University, Nablus, Palestine.

Arvyati, A., Ibrahim, M. & Irawan, A. (2015). Effectivity of peer tutoring learning to increase mathematical creative thinking ability of class XI IPA SMAN 3 Kendari 2014. International Journal of Education and Research, 3(1), 618-626.

Blum, W. & Niss, M. (1991). Applied mathematical problem solving, modelling, application, and links to other subjects-state, trends, and issues in mathematics instruction. Educational Studies in Mathematics, 22(1), 37-68.

D’Ambrosio, U. (1989). Historical and epistemological bases for modeling and implications for the curriculum. In W. Blum, M. Niss, & I. Huntley (Eds.), Modeling applications and appliedproblem solving (pp. 22–27). London: Eillis Horwood.

Dan, Q. & Xie, J. (2011). Mathematical modelling skills and creative thinking levels. In G. Kaiser, W. Blum, R. Ferri & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling- ICTMA 14 (pp. 57-66). London, New York: Springer.

Doyle, A. (2018). Creative thinking: Definition, skills, and examples. Retrieved on Aug. 22, 2019 from: https://www.thebalance.com/creative-thinking-definition-with-example 2063744.

English, L. & Watters, J. (2004). Mathematical modelling with young children. In M. Johnsen Hoines & A. Berit Fuglestad (Eds.), Proceedings of the 28th International PME Conference (pp. 335-342). Bergen, Norway: Bergen University College.

Ervynck, G. (1991). Mathematical creativity. In D. Tall (Ed.), Advanced mathematical thinking, (pp. 42-53). Netherland, Dordrecht: Kluwer Academic Publisher.

Ferri, R. (2006). Theoretical and empirical differentiations of phases in the modelling process. ZDM – The International Journal on Mathematics Education, 38(2), 86-95.

Frejd, P. & Ärlebäck, J. (2011). First results from a study investigating Swedish upper secondary students' mathematical modelling competencies. In G. Kaiser, W. Blum, R. Borromeo Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling (pp. 407-416). New York: Springer.

Galbraith, P. (2012). Models of modelling: genres, purposes or perspectives. Journal of Mathematical Modelling and Application, 1(5), 3–16.

Haines, C., Crouch, R., & Fitzharris, A. (2003). Deconstructing mathematical modelling: Approaches to problem solving. In Qi-Xiao Ye, Werner Blum, Ken Houston & Qi -Yuan Jiang (Eds), Mathematical Modelling in Education and Culture: ICTMA 10 (pp. 41-53). Chichester: Horwood Publishing.

Hinkle, D., Wiersma, W., & Jurs, S. (1988). Applied statistics for the behavioral sciences. Boston: Houghton Mifflin Company.

Huang, C. (2011). Investigating engineering students’ mathematical modelling competency. World Transactions on Engineering and Technology Education, 10(2), 99-104.

Karwowski, M., Jankowska, D. & Szwajkowski, W. (2017). Creativity, imagination, and early mathematics education. In R. Leikin, B. Sriraman (Eds.), Creativity and Giftedness, Advances in Mathematics Education (pp. 7-22). Switzerland: Springer International Publishing.

Katagiri, S. (2004). Mathematical thinking and how to teach it. Tokyo: Meijitosyo Publishers.

Kidar, R. & La Masi, M. (2014). Mathematical creative thinking skills of students junior high school in Kendari city. A paper presented at International Seminar on Innovation in Mathematics and Mathematics Education 1st ISIM-MED, Innovation and Technology for Mathematics and Mathematics Education. Department of Mathematics Education, Yogyakarta State University Yogyakarta, November 26-30.

Lee, K., Hwang, D. & Seo, J. (2003). A development of the test for mathematical creative problem solving. Journal of the Korea Society of Mathematical Education, 7(3), 163 -189.

Lesh, R. & Doerr, H. (2003). Foundations of a models and modeling perspective on mathematics teaching, learning, and problem solving. In R. Lesh, & H. Doerr (Eds.), Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching (pp. 3-33). Mahwah, New Jersey: Lawrence Erlbaum Associates, Publishers.

Lingefjärd, T. (2004). Assessing engineering student’s modeling skills. Retrieved on 19 July 2015 from: http://www.cdio.org/paper-/assess_model_skls.pdf.

Ludwig, M., & Xu, B. (2010). A comparative study of modelling competencies among Chinese and German students. Journal for Didactics of Mathematics, 31(1), 77-97.

Maaß, K. (2006). What are modelling competencies?. Zentralblatt für Didaktik der Mathematik-ZDM, 38 (2), 113-142.

Mann, E. (2009). Mathematical creativity and school mathematics: Indicators of mathematical creativity in middle school students. Creativity Research Journal, 21(4), 338–348.

Meznik, I. (1999). Modelling as a Support in Teaching of Mathematics. In A. Rogerson (Ed.). Proceedings of the International Conference on Mathematics Education into the 21th Century: Societal Challenges, Issues and Approaches (pp. 95-100). Cairo: Third World Forum Project Egypt.

Millar, G. (1997). E. Paul Torrance: The Creativity Man. New Jersey: Ablex Publishing.

Mrayyan, S. (2016). How to develop teachers’ mathematical molding teaching kills. Journal of Education and Practice, 7(12), 119-123.

Nadjafikhah, M., Yaftian, N. & Bakhshalizadeh, S. (2012). Mathematical creativity: some definitions and characteristics. Procedia - Social and Behavioral Sciences, 31, 285–291

National Council of Teachers of Mathematics (NCTM). (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.

National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics. Reston, VA: Author.

Pollak, H. (2003). A history of the teaching of modeling. In G. Stanic & J. Kilpatrick (Eds.), A history of school mathematics (pp. 647-671). Reston, VA: NCTM.

Programmed for International Student Assessment- PISA. (2012, 2015). Assessment and Analytical Framework: Mathematics, Reading, Science, Problem Solving and Financial Literacy, Paris: OECD.

Sharma, A. (2013). Associations between self-efficacy, beliefs, self-regulated learning strategies, and students' performance on model-Elisiting tasks: An examination of direct and indirect effects. Unpublished doctoral dissertation, University of Florida, USA.

Spacey, J, (2017). 12 types of creative thinking. Retrieved on Aug. 22, 2019 from: https://simplicable.com/new/creative-thinking.

Tekin, A. & Yılmaz, S. (2013). Investigation of modeling competency of elementary mathematics teacher candidates. Turkish Journal of Computer and Mathematics Education, 4(3), 185-206.

Toorrance, E.(1974).Torrance Test of creativity thinking: Thinking Creativity with words, USA: Scholastic Testing Services.

Walia, P. & Walia, P. (2017). Development and standardization of mathematical creativity test. International Journal of Advanced Research, 5(7), 1293-1300.

Yee, F. (2005). Developing creativity in the Singapore primary mathematics classes: Factors that support and inhibit. Thinking classroom, 6,14-46.

Published

2020-12-01

How to Cite

Al-Eisa, B. M., Al-Shunnaq, M. M., & Kana’an, E. M. (2020). The Relationship between Creative Thinking in Mathematics and Mathematical Modeling among University Students. Dirasat: Educational Sciences, 47(4), 391–407. Retrieved from http://dsr.ju.edu.jo/djournals/index.php/Edu/article/view/2511

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Articles