Analysis of Students' Intuitive Thinking Abilities in Solving Mathematical Problems on Integer Topics

Noera Shikin 1 Indonesia , Nizlel Huda 1 Indonesia , Ade Kumalasari 1 Indonesia
1 Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi
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Published 2026-02-03
Vol. 6 No. 1 (2026) PAGES 96 - 108
DOI 10.51574/kognitif.v6i1.4408
Views / Downloads 152 715

This study aims to analyze and describe students' intuitive thinking abilities in solving mathematical problems on the topic of integers. This research employs a qualitative descriptive method. One research subject (S1) will be selected using purposive sampling based on their ability to demonstrate initial indications of intuitive thinking, such as the accuracy and speed of their initial response to a problem. The research instrument consists of one integer problem-solving test question designed to assess intuitive thinking abilities. Data is collected through triangulation using the think-aloud technique during the problem-solving process, followed by a semi-structured interview to explore the subject's (S1) reasoning and intuitive thought processes. Data is analyzed qualitatively through the stages of data reduction, data presentation, and conclusion drawing. The results reveal that intuition, specifically the common-sense type, acts as a cognitive bridge that accelerates the emergence of ideas and the formulation of problem-solving strategies. This intuitive thinking characteristic is demonstrated through the application of systematic strategies, logical reasoning, and a strong reliance on prior learning experiences. These findings indicate that learning experiences can serve as a crucial foundation in forming effective mathematical intuition. Therefore, mathematics instruction should be designed to enrich student experiences through a variety of problem-solving tasks to develop students' intuitive thinking abilitie

Shikin, N., Huda, N., & Kumalasari, A. (2026). Analysis of Students’ Intuitive Thinking Abilities in Solving Mathematical Problems on Integer Topics. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 6(1), 96–108. https://doi.org/10.51574/kognitif.v6i1.4408
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Kognitif: Jurnal Riset HOTS Pendidikan Matematika dengan Situs: https://etdci.org/journal/kognitif  berlisensi  Creative Commons Attribution-ShareAlike 4.0 International License

p-ISSN 2776-9984, e-ISSN 2776-9704 

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Keywords
Intuitive Thinking Ability Problem-Solving Integers Common Sense Catalytic Inference Power of Synthesis