logo logo European Journal of Educational Research

EU-JER is is a, peer reviewed, online academic research journal.

Subscribe to

Receive Email Alerts

for special events, calls for papers, and professional development opportunities.

Subscribe

Publisher (HQ)

Eurasian Society of Educational Research
Eurasian Society of Educational Research
7321 Parkway Drive South, Hanover, MD 21076, USA
Eurasian Society of Educational Research
Headquarters
7321 Parkway Drive South, Hanover, MD 21076, USA
mathematics problem solving creative thinking primary students

Primary School Students’ Creative Thinking Skills in Mathematics Problem Solving

Erna Yayuk , Purwanto , Abdur Rahman As’ari , Subanji

This study aims to analyze students’ creative thinking skills in answering the problem-solving questions. This study employs qualitative design,.

T

This study aims to analyze students’ creative thinking skills in answering the problem-solving questions. This study employs qualitative design, involving 110 fifth graders in Malang Municipality and Regency as the subjects. The obtained data were analyzed using the descriptive-explorative approach. The findings reveal that the high-achievers in Mathematics showed good skills in the aspects of fluency and flexibility, but were still struggling in the novelty aspect.  The average-achievers showed good skills in flexibility aspects but were lacking in the fluency and novelty aspects. They showed an understanding of Mathematics problems but found it difficult to decide the solving strategies, and thus their answers were lacking in structure and less systematic. When solving a problem, the calculation made seemed rushing, was less careful, and frequented with trial and error strategy. The low-achievers showed difficulties in understanding the problems. Their answers were not systematic, not well-structured, and not detailed. This indicates that the low-achievers had not shown creative thinking skills in fluency, flexibility, and novelty aspects.

Keywords: Mathematics problem solving, creative thinking, primary students.

cloud_download PDF
Cite
Article Metrics
Views
1361
Download
1029
Citations
Crossref
16

Scopus
15

References

Anwar, N. M., Aness, M., & Khizar, A. (2012). Relationship of creative thinking with academic achievements of secondary school students. International Interdisciplinary Journal of Education, 1(3), 12–24.

Arends, R. (2009). Learning to teach. Mc Graw Hill Companies.

Bal, A. P. (2015). Examination of the mathematical problem-solving beliefs and success levels of primary school teacher candidates through the variables of mathematical success and gender. Educational Sciences: Theory & Practice, 15(5), 1373–1390.

Beghetto, R. A. (2010). Creativity in the classroom. In J. C. Kaufman & R. J. Sternberg (Eds.), The Cambridge handbook of creativity. Cambridge University Press.

  1. eghetto, R. A., & Kaufman, J. C. (2007). Toward a broader conception of creativity: A case for mini-c creativity. Psychology of Aesthetics, Creativity and the Arts, 1, 73-79.

Calder, L., & Carlson, S. (2004). Using “Think alouds” to evaluate deep understanding. In R. L. Swing (Ed.), Proving and improving, volume II: Tools and techniques for assessing the first college year (Vol. II, pp. 35–38). University of South Carolina.

Cheng, V.M.Y. (2010). Teaching creative thinking in regular science lesson: Potential and obstacles of three different approaches in an asian context. Asia Pasific Forum on Science Learning and Teaching, 1(17), 1.

Craft, A. (2005). Creativity in schools: Tensions and dilemmas. Routledge.

Davis, R. E. (1984). Learning mathematics: The cognitive science approach to mathematics education. Croom Helm Australia Pty Ltd.

Forrester, J. (2008). Thinking creatively; thinking critically. Asian Social Science Journal, 4(5), 100-105.

Gomez, J. G.  (2007). What do we know about creativity? The Journal of Effective Teaching, 7(1), 31-43.

Haylock, D. (1997). Recognising mathematical Creativity in Schoolchildren. Central Journal for Didactics of Mathematics/ Zentralblatt fur Didaktik der Mathematik, 29(3), 68-74.

Hwang, W. Y., Chen, N. S., Dung, J. J., & Yang, Y. L. (2007). Multiple representation skills and creativity effects on mathematical problem solving using a multimedia whiteboard system. Educational Technology & Society, 10(2), 191-212.

Kampylis, P., & Berki, E. (2014). Nurturing creative thinking. International Academy of Education.

  • J. C. & Beghetto, R. A. (2009). Beyond Big and Little: The Four C Model of Creativity. Review of General Psychology, 13(1) pp. 1–12.

Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren. The University of Chicago Press.

Laius, A. & Rannikmae, M. (2014). Longitudinal teacher training impact on students’ attributes of scientific literacy. International Journal of Humanities and Social Science, 4(6), 63-72.

Lombard, K., & Grosser, M. (2008). Critical thinking: Are the ideals of OBE failing us or are we failing the ideals of OBE. South African Journal of Education, 28, 561-589.

Mehmood, S. T. (2014). Effect of Polya’s problem solving method of teaching on achievement of revised Bloom’s taxonomy in mathematics at elementary level[Unpublished doctoral dissertatiion]. International Islamic University Islamabad.

Meintjes, H. & Grosser, M. (2010). Creative thinking in prospective teachers: The status quo and the impact of contextual factors. South African Journal of Education, 30 361-386.

Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative data analysis: A methods sourcebook (3rd ed.). SAGE.

  • leong, L. J. (2002). Metodologi penelitian kualitatif  [Qualitative research methodology]. Remaja Rosdakarya.

National Council of Teacher of Mathematics.

Newman, F. M., & Wehlage, G. G. (1993). Five standards for authentic instruction. Educational Leadership, 50(7), 8-12.

Nolan, V. (2004). Creativity: The antidote to the argument culture. In M. Fryer (Ed.), Creativity and cultural diversity (pp. 45-51). The Creativity Centre Educational Trust.

Nugraha, T. S., & Mahmudi, A. (2015). Keefektifan pembelajaran berbasis masalah dan problem posing ditinjau dari kemampuan berpikir logis dan kritis [The effectiveness of problem-based learning and problem posing in terms of the ability to think logically and critically]. Journal of Mathematics Education Research/ Jurnal Riset Pendidikan Matematika, 2(1), 107-120. https://doi.org/10.21831/jrpm.v2i1.7154.

Nuryanti, M. (2016). Peningkatan kemampuan komunikasi dan berpikir kritis matematis melalui model kooperatif STAD dan Murder [Improved communication skills and mathematical critical thinking through the STAD and Murder cooperative models]. Journal of Mathematics and Natural Sciences Teaching/ Jurnal Pengajaran Matematika dan Ilmu Pengetahuan Alam, 21(1), 9-13 http://doi.org/10.18269/JPMIPA.v21i1.654

Okpara, D. F. (2007). The value of creativity and innovation in entrepreneurship. Journal of Asia Entrepreneurship and Sustainability, 3(2), 1-14.

Palmer, H., & van Bommel, (2018). Problem solving in early mathematics teaching-A way to promote creativity? Creativity Education, 9, 1775-1793.  https://doi.org. /10.4236/ce.2018.912129

Papalia, D. E., Wendkos, O. D., & Feldman, R. (2008). A child's world: Infancy through adolescence. McGraw Hill.

Pehkonen, E. (1997). The state-of-art in mathematical creativity. Zentralblatt fur Didaktik der Mathematik/Central Journal for Didactics of Mathematics, 29, 63–67. https://doi.org/10.1007/s11858-997-0001-z.

  1. R. (Ed.) (2007). Everyday creativity and new views of human nature: Psychological, social, and spiritual perspectives. American Psychological Association. https://doi.org/10.1037/11595-000

Rofi’uddin, A.  (2000). Model pendidikan berpikir kritis   kreatif   untuk   siswa   sekolah   dasar [Educational model of creative critical thinking for elementary school students]. Language and Art Journal/ Majalah Bahasa dan Seni, 28(1), 72-94

Ruggiero, V. R. (1998). The art of thinking: A guide to critical and creative thought. Wesley Longman, Inc.

Salih, M.  (2010). Developing thinking skills in Malaysian science students via an analogical task.  Journal of Science and Mathematics Education in Southeast Asia, 33(1), 110-128.

Saragih, S., & Napitupulu, E. (2015). Developing student-centers learning model to improve high order mathematical thinking ability. Canadian Center of Science and Education, 8, 104–112.

Sari, I. P., & Yunarti, T. (2015). Open-ended problems untuk mengembangkan kemampuan berpikir kreatif siswa [Open-ended problems to develop students' creative thinking abilities]. In M. Marsigit & S. Sugiman (Eds), National Seminar of Mathematics and Education of Math (pp. 315-320). State University of Yogyakarta-Indonesia.

Sarwinda, W. (2013). Pemberdayaan keterampilan berfikir kreatif siswa melalui strategi reciprocal teaching pada pembelajaran biologi SMA [Empowerment of student’s creative thinking skills through reciprocal teaching strategies in high school biology learning]. In S. Kubikazari & H. Rahmawati (Eds), National Seminar X Biology Education (pp. 14-139). Sebelas Maret University-Indonesia.

Scales, P. (2013). Teaching in the lifelong learning sector. Open University Press.

Sharan, S. (Ed.) (1990). Cooperative learning: Theory and research. Praeger.

Shriki, A. (2010). Working like real mathematicians: developing prospective teacher’s awareness of mathematical creativity through generating new concepts. Educational Studies in Mathematics, 73, 159–179. https://doi.org/10.1007/s10649-009-9212-2.

Silver, E.A. (1997). Fostering creativity through instruction rich in mathematical problem solving and thinking in problem posing. Central Journal for Didactics of Mathematics/ Zentralblatt fur Didaktik der Mathematik, 29(3), 75–80. https://doi.org/10.1007/s11858-997-0003-x

  1. iswono, T. Y. (2004). Identifying creative thinking process of students through mathematics problem posing. In M. Nita Nur (Ed.), Proceeding of the International Conference on Statistics and Mathematics and Its Application in the Development of Science and Technology (pp. 85-80). Bandung Islamic University.

Siswono, T. Y. E. (2018). Pembelajaran matematika berbasis pengajuan dan pemecahan masalah [Mathematical learning based on submission and problem solving]. Remaja Rosdakarya.

  1. 205-218.

Sriraman, B., & Lee, K. H. (2011). The elements of creativity and giftedness in mathematics. Sense Publisher. https://doi.org/10.1007/978-94-6091-439-3

Stein, B, Haynes, A., Redding, M., Ennis, T., & Cecil, M. (2007). Assessing critical thinking in steam and beyond. In M. Iskander (Ed.), Innovation in e-learning, instruction technology, assessment and engineering education (pp. 79-82). Springer.

Sternberg, R. J. (2012). The Assessment of Creativity: An Investment-based Approach. Creativity Research Journal, 24(1), 3–12.

Sukmadinata, N. S. (2011). Metode penelitian pendidikan [Educational research methods]. Remaja Rosdakarya.

Sunaryo, Y. (2014). Model pembelajaran berbasis masalah untuk meningkatkan kema’ampuan berpikir kritis dan kreatif matematika siswa SMA di Kota Tasikmalaya [Problem-based learning model to improve the mathematical critical thinking and creative ability of high school students in the City of Tasikmalaya]. Jurnal Pendidikan dan Keguruan/Journal of Education and Teacher Training, 1(2), 41-51.

Supardi, S. (2015). Peran berpikir kreatif dalam proses [The role of creative thinking in the process]. Formative Journal / Jurnal Formatif, 2(3), 248-262.

Tahir, A. (2007). Upaya diri menjadi guru profesional [Self efforts to become a professional teacher]. Alfabeta

Taplin, M. (2007). Mathematics through problem solving. Institute of Sathya Sai Education.

Tendrita, M., Mahanal, S., & Zubaidah, S. (2016). Pemberdayaan keterampilan berfikir kreatif melalui model remap think pair share [The empowerment of creative thinking skills through remap think pair share]. Proceeding Biology Education Conference, 13(1), 285-291.

Thomas, A., & Thorne, G.  (2009). How to increase higher order thinking. Center for Development and Learning.

Van Someren, M. W., Barnard, Y. F., & Sandberg, J. A. C. (1994). The think aloud method: A practical guide to modelling cognitive processes. Academic Press.

Vygotsky, L. S. (1967). Play and Its Role in the Mental Development of the Child. Soviet Psychology, 5(3), 6–18.

Yayuk, E., Ekowati, D. W., Suwandayani, B. I., & Ulum, B. (2018). Pembelajaran matematika yang menyenangkan [Fun mathematics learning]. UMM Press.

Yayuk, E. (2019). Pembelajaran matematika SD [Elementary mathematics learning]. UMM Press

Yen, T. S., & Halili, S. H. (2015). Effective teaching of higher-order thinking (HOT) in education. The Online Journal of Distance Education and e-Learning, 3(2), 41-47.

...