Creativity Pattern of Problem Posing in Mathematics for Moderately Capable Students in Cross-Situations

Ahyani Mirah Liani; Nurdin  Arsyad; Awi

doi:10.63922/ijevss.v5i01.2949

Ahyani Mirah Liani Universitas Negeri Makassar
Nurdin Arsyad Makassar State University, Indonesia
Awi Makassar State University, Indonesia

DOI: https://doi.org/10.63922/ijevss.v5i01.2949

Keywords: Mathematical Creativity; Problem Posing; Moderate Mathematical Ability; Fluency; Flexibility; Novelty; Problem Situations.

Abstract

This study aims to describe the pattern of creativity in mathematical problem posing among students with moderate mathematical ability across different situations. Creativity is analyzed through three indicators: fluency, flexibility, and novelty. This qualitative descriptive study involved students of the Primary School Teacher Education Program (PGSD) at Universitas Negeri Makassar, selected using purposive sampling based on moderate mathematical ability test results. Data were collected through mathematical problem-posing tasks involving free, semi structured, and structured situations, supported by semi-structured interviews. The findings indicate that students with moderate mathematical ability demonstrate relatively consistent fluency across situations, as they are able to generate several relevant mathematical problems. However, flexibility and novelty are limited and fluctuate depending on the characteristics of the situation. Free and semi-structured situations provide more opportunities for idea variation, while structured situations tend to restrict creativity, resulting in routine and procedural problems. These results highlight the importance of designing adaptive problem posing situations to support the development of students’ mathematical creativity. These results suggest that instructional designs incorporating adaptive and balanced problem posing situations are essential to support the development of flexibility and novelty in students’ mathematical creativity.

References

Amalina, I., Amirudin, M., & Budiarto, M. (2018). Students’ Creativity: Problem Posing in Structured Situation. Journal of Physics: Conference Series, 947. https://doi.org/10.1088/1742-6596/947/1/012012
Azlina, N., Amin, S., & Lukito, A. (2018). Creativity of Field-dependent and Field-independent Students in Posing Mathematical Problems. Journal of Physics: Conference Series, 947. https://doi.org/10.1088/1742-6596/947/1/012031
Brown, S. I., & Walter, M. I. (2005). The Art of Problem Posing (3rd Edition). Psychology Press. https://doi.org/10.4324/9781410611833
Daiana, P., Surahmat, S., & Fathani, A. H. (2021). Profile of Students’ Mathematical Creative Thinking Ability in Solving Mathematical Problem. Formatif: Jurnal Ilmiah Pendidikan MIPA. https://doi.org/10.30998/formatif.v11i1.7810
Dewi, H., & Marsigit. (2018). Mathematical creative thinking and problem posing: an analysis of vocational high school students’ problem posing. Journal of Physics: Conference Series, 1097. https://doi.org/10.1088/1742-6596/1097/1/012134
Findell, B., Swafford, J., & Kilpatrick, J. (2001). Adding it up: Helping children learn mathematics. National Academies Press.
Leung, S. S. (1997). On the role of creative thinking in problem posing. ZDM, 29(3), 81–85. https://doi.org/10.1007/s11858-997-0004-9
Leung, S. S., & Silver, E. A. (1997). The role of task format, mathematics knowledge, and creative thinking on the arithmetic problem posing of prospective elementary school teachers. Mathematics Education Research Journal, 9(1), 5–24.
Maharani, R., Siswono, T., & Rahaju, E. B. (2018). Studentsr Creative Thinking in Posing Mathematical Problem with Different Context. https://doi.org/10.2991/miseic-18.2018.13
Runco, M. A., & Jaeger, G. J. (2012). The Standard Definition of Creativity. Creativity Research Journal, 24(1), 92–96. https://doi.org/10.1080/10400419.2012.650092
Sa’dijah, C., Handayani, U. F., Sisworo, Sudirman, Susiswo, Cahyowati, E. T. D., & Sa’diyah, M. (2019). The Profile of Junior High School Students’ Mathematical Creative Thinking Skills in Solving Problem through Contextual Teaching. Journal of Physics: Conference Series, 1397. https://doi.org/10.1088/1742-6596/1397/1/012081
Sesanti, N., & Marsitin, R. (2018). Analysis of Creative Thinking Ability of Primary School Department Student on Proposing Mathematics Problem. 49–53. https://doi.org/10.2991/incomed-17.2018.11
Silver, E. A. (1994). On mathematical problem posing. For the Learning of Mathematics, 14(1), 19–28.
Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. ZDM, 29(3), 75–80. https://doi.org/10.1007/s11858-997-0003-x
Silver, E. A., & Cai, J. (2005). Assessing students’ mathematical problem posing. Teaching Children Mathematics, 12(3), 129–135.
Siswono, T. Y. E. (2008). Model pembelajaran matematika berbasis pengajuan dan pemecahan masalah untuk meningkatkan kemampuan berpikir kreatif. Surabaya: Unesa university press.
Siswono, T. Y. E. (2011). Level of student’s creative thinking in classroom mathematics. Educational Research and Reviews, 6(7), 548.
Stoyanova, E., & Ellerton, N. F. (1996). A framework for research into students’ problem posing in school mathematics. Technology in Mathematics Education, 4(7), 518–525.
Yayuk, E., Purwanto, As’ari, A., & Subanji. (2020). Primary School Students’ Creative Thinking Skills in Mathematics Problem Solving. European Journal of Educational Research, 9, 1281–1295. https://doi.org/10.12973/eu-jer.9.3.1281