Linda Herawati
Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Siliwangi

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Analysis of Students’ Mathematical Problem-Solving Ability Reviewed from Systematic and Intuitive Cognitive Styles Neng Yulianti; Linda Herawati; Yeni Heryani
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 6 No. 2 (2026): April - June 2026
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v6i2.5043

Abstract

This study aims to describe students’ mathematical problem-solving abilities based on systematic and intuitive cognitive styles using a qualitative descriptive approach. The participants consisted of four seventh-grade students of Class VIIB at SMP Negeri 21 Tasikmalaya, including two students with a systematic cognitive style and two students with an intuitive cognitive style, selected through purposive sampling based on the results of the Cognitive Style Inventory (CSI) questionnaire. Data were collected through questionnaires, mathematical problem-solving tests based on Polya’s stages, and interviews, then analyzed through data reduction, data display, and conclusion drawing. The findings showed that students with a systematic cognitive style tended to solve problems in a structured, sequential, and careful manner, whereas students with an intuitive cognitive style tended to solve problems more quickly and spontaneously by relying on direct understanding and prior experience in determining solution strategies.These findings indicate that cognitive style plays an important role in shaping how students interpret problems, select strategies, and evaluate solutions in mathematical problem-solving.
Analysis of Students’ Mathematical Semiotic Representation Ability in Terms of Self-Confidence Bella Putrie Andriani; Depi Setialesmana; Linda Herawati
Kognitif: Jurnal Riset HOTS Pendidikan Matematika Vol. 6 No. 3 (2026): July - September 2026
Publisher : Education and Talent Development Center Indonesia (ETDC Indonesia)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51574/kognitif.v6i3.5238

Abstract

Mathematical semiotic representation ability plays an important role in helping students understand and solve mathematical problems. However, differences in students' self-confidence may influence how they construct mathematical representations. This study aimed to analyze students' mathematical semiotic representation abilities in terms of high, medium, and low levels of self-confidence. This research employed a descriptive qualitative approach involving eighth-grade students of SMP Negeri 19 Tasikmalaya. Three students representing high, medium, and low levels of self-confidence were purposively selected based on the results of the self-confidence questionnaire, the mathematical semiotic representation ability test, and semi-structured interviews. The research instruments consisted of a self-confidence questionnaire and a mathematical semiotic representation ability test developed based on Peirce's semiotic indicators, namely iconic (visual representation), symbolic (the use of mathematical symbols and formulas), and indexical (explaining the relationship between the solution and the problem context). Data were collected through self-confidence questionnaires, written tests, and semi-structured interviews, then analyzed through data reduction, data display, and conclusion drawing. The findings showed that the student with high self-confidence was able to represent problem situations through appropriate visual representations (iconic), use mathematical symbols and formulas correctly to solve the problem (symbolic), and explain the relationship between the solution and the problem context logically (indexical). The student with medium self-confidence also demonstrated all three indicators but showed inaccuracies in calculations and hesitation when explaining the obtained results. Meanwhile, the student with low self-confidence was able to construct visual and symbolic representations but experienced difficulties in explaining the relationship between the obtained solution and the context of the problem, indicating that the indexical representation was not fully achieved.