Characterization of the five-tier model of creative mathematical thinking in primary school learners

Authors

  • Ervita Tri Susilowati Master Program in Mathematics Education, Faculty of Teacher Training and Education, Wisnuwardhana University Malang, East Java 65139, Indonesia https://orcid.org/0009-0009-8371-5266
  • Anton Prayitno Mathematics Education, Faculty of Teacher Training and Education, Wisnuwardhana University Malang, East Java 65139, Indonesia https://orcid.org/0000-0002-2974-0614
  • Muhammad Baidawi Mathematics Education, Faculty of Teacher Training and Education, Wisnuwardhana University Malang, East Java 65139, Indonesia https://orcid.org/0000-0001-7843-0164

DOI:

https://doi.org/10.35316/alifmatika.2025.v7i2.295-309

Keywords:

Creative Mathematical Thinking, Elementary Students, Open-Ended Tasks, Ordinal Data, Subanji Five-Stage Model

Abstract

Creative mathematical thinking skills among elementary students remain relatively low, largely due to predominantly procedural instruction, highlighting the need to examine the characteristics of their innovative thinking stages in solving data processing problems using the Subanji five-stage model. The study aimed to identify and describe students’ creative thinking patterns in handling ordinal data through the stages of pre-imitation, imitation, modification, combination, and construction. Employing a qualitative case study approach, data were collected from 38 fifth-grade students in Malang through open-ended tasks, think-aloud protocols, interviews, and documentation. The analysis involved data reduction and triangulation. Results revealed the distribution of students across stages: 10.53% at pre-imitation, 34.21% imitation, 23.68% modification, 18.42% combination, and 13.16% construction. Students showed a progression from routine and imitative approaches to independently constructed strategies, such as assigning weighted scores to ranked data and analyzing the frequency of options. These findings suggest that the Subanji model effectively captures the development of creative mathematical thinking and support the integration of open-ended tasks and scaffolded guidance to foster creativity in mathematics learning.

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Published

2025-12-15

How to Cite

Susilowati, E. T., Prayitno, A., & Baidawi, M. (2025). Characterization of the five-tier model of creative mathematical thinking in primary school learners. Alifmatika: Jurnal Pendidikan Dan Pembelajaran Matematika, 7(2), 295–309. https://doi.org/10.35316/alifmatika.2025.v7i2.295-309

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