JPMI (Jurnal Pembelajaran Matematika Inovatif)
Vol. 9 No. 4 (2026): JPMI

Exploring student’s mathematical representation ability in deep learning-integrated problem-based learning on circle equations

Indhiadma Parnata (Universitas Islam Malang)
Khikmatus Shahrin Maghfiroh (Universitas Islam Malang)
Alifiani Alifiani (Universitas Islam Malang)
Lailatul Badriyah (SMA Negeri 4 Malang)



Article Info

Publish Date
29 Jul 2026

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.

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Journal Info

Abbrev

jpmi

Publisher

Subject

Mathematics

Description

JPMI – Jurnal Pembelajaran Matematika Inovatif publishes original research or theoretical papers about teaching and learning in mathematics education on current science issues, namely: 1. Mathematics educator in elementary, secondary and high school level 2. Mathematics observers and researchers ...