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Creative Thinking Process of Prospective Mathematics Teacher Students in Solving Numerical Problems

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  • Author(s): Lukmanul Akhsani (ORCID Lukmanul Akhsani (ORCID 0000-0001-8617-114X); Kartono (ORCID Kartono (ORCID 0009-0001-2244-6957); Iwan Junaedi (ORCID Iwan Junaedi (ORCID 0009-0002-2962-483X); Tri Sri Noor Asih (ORCID Tri Sri Noor Asih (ORCID 0000-0002-1287-4579)
  • Language:
    English
  • Source:
    Educational Process: International Journal. Article e2025590 2025 19.
  • Publication Date:
    2025
  • Document Type:
    Journal Articles
    Reports - Research
  • Additional Information
    • Availability:
      UNIVERSITEPARK Limited. iTOWER Plaza (No61, 9th floor) Merkez Mh Akar Cd No3, Sisli, Istanbul, Turkey 34382. e-mail: editor@edupij.com; Web site: http://www.edupij.com/
    • Peer Reviewed:
      Y
    • Source:
      30
    • Education Level:
      Higher Education
      Postsecondary Education
    • Subject Terms:
      Creative Thinking; Thinking Skills; Preservice Teachers; Mathematics Teachers; Problem Solving; Mathematics Skills; Numbers; Logical Thinking; Mathematical Logic; Cognitive Processes; Metacognition; Reflection; Foreign Countries
    • Subject Terms:
      Indonesia
    • ISSN:
      2147-0901
      2564-8020
    • Abstract:
      Background/purpose: Creative thinking is an essential 21st-century skill in mathematics education, closely connected to logical-mathematical ability. Solving numerical problems requires students to think systematically, flexibly, and deeply beyond technical skills. In this context, the creative thinking process remains underexplored empirically. Therefore, this research aims to describe and visualize the stages of students' creative thinking in solving numerical problems. Materials/methods: This research used a quantitative-descriptive and qualitative phenomenological method to investigate the creative thinking process. Category development was achieved through a combined concept-driven and data-driven process. The subjects were students in the Mathematics Education Research Program at Muhammadiyah University of Purwokerto, Indonesia. Students selected had taken courses relevant to numerical problems, namely the methods course. Results: Students' creative thinking process in solving numerical problems reflected an integration of logical-mathematical intelligence skills across all stages from preparation in understanding the problem, incubation in planning, to illumination in generating strategic ideas. In the formulation and verification stages, students exhibited systematic thinking. However, limited alternative exploration and critical evaluation reduced the overall solution efficiency. These results emphasized the importance of instructional methods that promoted cognitive flexibility and metacognitive reflection throughout each stage of the creative thinking process. Conclusion: The development of students' creative thinking in solving numerical problems required strong logical-mathematical intelligence, alternative solution exploration, and intensive metacognitive training. The results showed that curriculum design could balance theoretical and practical aspects to enhance cognitive flexibility, strengthen conceptual mastery, and support the formulation of creative numerical solutions.
    • Abstract:
      As Provided
    • Publication Date:
      2025
    • Accession Number:
      EJ1491059