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Beban Kognitif Siswa pada Materi Logaritma ditinjau dari Gaya Kognitif Alifiani; Dea Fabila Arisandy
JNPM (Jurnal Nasional Pendidikan Matematika) Vol 9 No 2 (2025)
Publisher : Universitas Swadaya Gunung Jati

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33603/jnpm.v9i2.9907

Abstract

This study aims to identify the cognitive load experienced by tenth-grade students on the topic of logarithms, considering their cognitive styles, namely field dependent (FD) and field independent (FI). The research adopts a qualitative approach with a descriptive design. The participants of this study consist of 38 tenth-grade students from a high school in Malang, grouped based on their cognitive styles: FD and FI. Data were collected through a cognitive style questionnaire (HFT Test), logarithmic tests, and in-depth interviews. Data analysis was conducted through data reduction, data presentation, and conclusion drawing. The findings reveal that students with a field dependent cognitive style tend to experience high intrinsic cognitive load, particularly due to confusion in understanding the numerous concepts that need to be applied. In contrast, students with a field independent cognitive style experience extrinsic and germane cognitive loads, reflected in their difficulties in applying already-learned concepts. This study highlights the significant role of cognitive styles in influencing students' cognitive load when solving mathematical problems. Strengthening prerequisite knowledge and providing additional practice are recommended to reduce cognitive load, especially for students with a field dependent cognitive style.
Exploring student’s mathematical representation ability in deep learning-integrated problem-based learning on circle equations Indhiadma Parnata; Khikmatus Shahrin Maghfiroh; Alifiani Alifiani; Lailatul Badriyah
JPMI (Jurnal Pembelajaran Matematika Inovatif) Vol. 9 No. 4 (2026): JPMI
Publisher : IKIP Siliwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/jpmi.v9i4.32043

Abstract

Mathematical representation ability is a fundamental competency for senior high school students. This study aims to describe students' mathematical representation abilities in deep learning integrated with the Problem-Based Learning model. A descriptive qualitative approach was employed, involving 36 Grade XI students at SMAN 4 Malang. Data were collected through written tests based on mathematical representation ability indicators and analyzed across representation: verbal, pictorial, and symbolic. The results reveal uneven abilities across representation types: symbolic representation was most consistently fulfilled, though with varied strategies; pictorial representation was spatially constructed but incomplete in metric annotation; verbal representation exhibited the greatest variation, with only high-ability students capable of articulating contextual geometric conclusions. These findings confirm that symbolic proficiency does not guarantee comprehensive representational competence. This study contributes an empirical profile of students' mathematical representation in a PBL context, serving as a reference for teachers in designing balanced instruction across representation types.