Exploring students' creative thinking processes in solving non-routine mathematical problems

Authors

  •   Mohammad Kholil   State Islamic University of Kiai Haji Achmad Siddiq Jember
  •   Nur Faizah   State Islamic University of Kiai Haji Achmad Siddiq Jember
  •   Anis Hidayati   Ibrahimy Islamic University of Banyuwangi
  •   Chanda Chansa Thelma   Chreso University

DOI:

https://doi.org/10.35719/educare.v6i2.384

  Keywords:

Creative Thinking, Non-routine Mathematical Problems, Problem Solving

Abstract

Creative thinking is an essential 21st-century skill that plays a significant role in mathematics learning, especially when students encounter non-routine problems. Unfortunately, learning practices still predominantly use routine questions that emphasize algorithmic procedures, limiting students’ opportunities to develop their creative potential. This study aims to analyze the types of creative thinking students employ when solving non-routine mathematical problems and to describe their cognitive characteristics. Using an exploratory qualitative approach and a case study design, the research involved 108 eighth-grade students, with three representative subjects selected for analysis through written tests and in-depth interviews. The findings reveal variations in students’ creative thinking in solving non-routine math problems. Most (48.15%) are replicative, imitating solutions with limited flexibility; 37.96% are adaptive, adjusting strategies to context; and 13.89% are constructive, creating original solutions independently. This highlights the need for non-routine problems, creativity-based learning, and STEM integration to enhance flexibility, advanced creativity, and contextual analytical skills. The study contributes by demonstrating how non-routine problems and creativity-focused, STEM-integrated learning can cultivate diverse creative thinking types, enhance cognitive flexibility, and foster students’ ability to generate original, contextually informed solutions in mathematics education.

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Published

2025-12-22

How to Cite

Kholil, M., Faizah, N., Hidayati, A., & Thelma, C. C. (2025). Exploring students’ creative thinking processes in solving non-routine mathematical problems. EDUCARE Journal of Primary Education, 6(2), 155–170. https://doi.org/10.35719/educare.v6i2.384

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