Creative Problem-Solving Tasks and Mathematical Creativity: A Second-Order Construct Approach

Authors

  • Purwati Purwati Universitas Papua, Manokwari, Papua Barat, Indonesia and Universitas Negeri Malang, Jawa Timur, Indonesia
  • Tri Candra Wulandari Universitas Islam Malang, Jawa Timur, Indonesia and Universitas Negeri Malang, Jawa Timur, Indonesia
  • Sandha Soemantri Universitas Muhammadiyah Surabaya, Jawa Timur, Indonesia and Universitas Negeri Malang, Jawa Timur, Indonesia

DOI:

https://doi.org/10.30862/jhm.v8i2.944

Keywords:

Creative problem-solving tasks, Creative self-efficacy, Integer operations, Mathematical creativity, Mathematical thinking, Quasi-experimental design

Abstract

This study aimed to address a research gap by examining the effect of Creative Problem-Solving Tasks (CPST) on students’ creative self-efficacy and creative thinking ability in solving integer operation problems. A quasi-experimental design with a pretest-posttest non-equivalent control group was employed, involving 60 seventh-grade students from two public junior high schools. Participants were divided into an experimental group (CPST-based instruction) and a control group (conventional instruction). Instruments included a creative self-efficacy questionnaire and an open-ended mathematical creative thinking test contextualized in integer operations. Data were analyzed using independent sample t-tests and confirmatory factor analysis. The t-test results showed significant differences between the experimental and control groups in both self-efficacy scores (t(58) = 11.56, p < 0.001) and creative thinking ability (t(58) = 5.22, p < 0.001). The experimental group demonstrated consistent improvement in the dimensions of fluency, flexibility, and originality. Confirmatory factor analysis supported the structure of mathematical creativity as a second-order construct. These findings indicate that implementing CPST in mathematics instruction significantly enhances students’ confidence and fosters the development of creative thinking simultaneously. The implication of this study highlights the importance of instructional approaches that integrate both affective and cognitive dimensions to support mathematical creativity, particularly in complex topics such as integer operations.

References

Baity, N. (2021). The effect of creative problem solving learning models on problem solving ability in learning motivation and student self-efficacy view. International Journal of Social Science and Human Research, 04(03).https://doi.org/10.47191/ijsshr/v4-i3-30

Bales, M. and Estomo, R. (2022). Mathematical creativity, mathematics self-efficacy, and mathematics problem-solving performance of high school students in different curricular programs. International Journal of Research Publication and Reviews, 286-294.https://doi.org/10.55248/gengpi.2022.3.9.6

Biçer, A., Bicer, A., Capraro, M., & Lee, Y. (2023). Mathematical connection is at the heart of mathematical creativity. Creativity Theories – Research – Applications, 10(1-2), 17-40.https://doi.org/10.2478/ctra-2023-0002

Faradillah, A. and Purwitasari, A. (2022). The effectivenes of the missouri mathematics project model on creative thinking ability and self-efficacy. Jipm (Jurnal Ilmiah Pendidikan Matematika), 11(1), 170.https://doi.org/10.25273/jipm.v11i1.13161

Gregory, L., Villarosa, A., Ramjan, L., Hughes, M., O’Reilly, R., Stunden, A., … & Salamonson, Y. (2019). The influence of mathematics self‐efficacy on numeracy performance in first‐year nursing students: a quasi‐experimental study. Journal of Clinical Nursing, 28(19-20), 3651-3659.https://doi.org/10.1111/jocn.14963

Haavold, P. (2016). An empirical investigation of a theoretical model for mathematical creativity. The Journal of Creative Behavior, 52(3), 226-239.https://doi.org/10.1002/jocb.145

Hafizi, M. and Kamarudin, N. (2020). Creativity in mathematics: malaysian perspective. Universal Journal of Educational Research, 8(3C), 77-84.https://doi.org/10.13189/ujer.2020.081609

Hayati, P., Mistima, M., & Mahmud, M. (2023). The relationship between teacher’s self- efficacy and creative teaching of primary mathematics teachers. Journal of Educational and Social Research, 13(5), 340.https://doi.org/10.36941/jesr-2023-0141

Herianto, H., Sofroniou, A., Fitrah, M. (2024). Quantifying the relationship between self‑efficacy and mathematical creativity: A meta‑analysis. Education Sciences, 14(11), 1251. https://doi.org/10.3390/educsci14111251

Hidayatullah, A., Abidin, R., & Muqit, A. (2024). Motivation and behavioral engagement: The mediating role of mathematics self-efficacy in primary education. Journal on Efficiency and Responsibility in Education and Science, 17(3), 237–246. https://doi.org/10.7160/eriesj.2024.170306

Ibrahim, I., & Widodo, S. (2020). Advocacy approach with open-ended problems to mathematical creative thinking ability. Infinity Journal, 9(1), 93. https://doi.org/10.22460/infinity.v9i1.p93-102

Ibrahim, I., Khalil, I., & Prahmana, R. (2023). Mathematics learning orientation: mathematical creative thinking ability or creative disposition?. Journal on Mathematics Education, 15(1), 253-276.https://doi.org/10.22342/jme.v15i1.pp253-276

Iftitah, N., Arsyad, M., & Palloan, P. (2023). The Influence of the Problem Based Learning Model and Self Efficacy on the Creative Thinking Ability of Class XI MIPA Students. Jurnal Penelitian Pendidikan Ipa, 9(12), 10808-10815. https://doi.org/10.29303/jppipa.v9i12.4734

Kwon, K., Park, H., & Lee, S. (2025). A meta-analysis of STEM project-based learning on creativity[J]. STEM Education, 2025, 5(2): 275-290. doi: http://www.aimspress.com/article/doi/10.3934/steme.2025014

Leikin, R., & Pitta-Pantazi, D. (2013). Creativity and mathematics education: The state of the art. ZDM – The International Journal on Mathematics Education, 45(2), 159–166.https://doi.org/10.1007/s11858-012-0459-1

Ma, Y. F. (2025). The effect of teaching approaches and curriculum designs in reducing mathematics anxiety: A mini‑review. Frontiers in Education, 10, 1656419.10.3389/feduc.2025.1656419

Meier, M. A., Burgstaller, J. A., Benedek, M., Vogel, S. E., & Grabner, R. H. (2021). Mathematical Creativity in Adults: Its Measurement and Its Relation to Intelligence, Mathematical Competence and General Creativity. Journal of Intelligence, 9(1), 10. https://doi.org/10.3390/jintelligence9010010

Muhtadi, A., Assagaf, G., & Hukom, J. (2022). Self‑efficacy and students’ mathematics learning ability in Indonesia: A meta‑analysis study. International Journal of Instruction, 15(3), 1131–1146. https://doi.org/10.29333/iji.2022.15360a

Niu, W., Li, C., Duan, D., & Zhang, Q. (2022). Impact of perceived supportive learning environment on mathematical achievement: the mediating roles of autonomous self- regulation and creative thinking. Frontiers in Psychology, 12. https://doi.org/10.3389/fpsyg.2021.781594

Orakçı, Ş. and Durnalı, M. (2022). The mediating effects of metacognition and creative thinking on the relationship between teachers' autonomy support and teachers' self‐efficacy. Psychology in the Schools, 60(1), 162-181.https://doi.org/10.1002/pits.22770

Piasta, S. B., Farley, K. S., Mauck, S. A., Soto Ramirez, P., Schachter, R. E., O'Connell, A. A., Justice, L. M., Spear, C. F., & Weber-Mayrer, M. (2020). At-scale, state-sponsored language and literacy professional development: Impacts on early childhood classroom practices and children’s outcomes. Journal of Educational Psychology, 112(2), 329–343. https://doi.org/10.1037/edu0000380

Purwati, P., et al. (2025). Mathematical Self-Efficacy and Creative Thinking in Social Arithmetic: Insight from Junior High School students in Papua. https://journals2.ums.ac.id/varidika/article/view/10837

Rima K, R., Nurjanah, S., & Cahya, A. (2024). Students’ learning obstacle in operations of integer. (2024). Educenter : Jurnal Ilmiah Pendidikan, 3(1), 59-67. https://doi.org/10.55904/educenter.v3i1.1107

Zhang, W., Chen, Q., & Sun, J. (2023). Project‑based learning and students’ affect and higher‑order thinking in STEM: A meta‑analytic review. PLOS ONE, 18(6), e0287365. https://doi.org/10.1371/journal.pone.0287365

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Published

2025-08-30

How to Cite

Purwati, P., Wulandari, T. C., & Soemantri, S. (2025). Creative Problem-Solving Tasks and Mathematical Creativity: A Second-Order Construct Approach. Journal of Honai Math, 8(2), 197–210. https://doi.org/10.30862/jhm.v8i2.944

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