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THE EFFECT OF ALGORITHMIC GAUSS–JORDAN METHOD ON MATHEMATICAL REASONING AND LEARNING OUTCOMES IN DYNAMIC ELECTRICITY

Jurnal Ilmiah Ilmu Terapan Universitas Jambi · Vol. 10 No. 1 (2026) · hlm. 181–200

DOI
10.22437/jiituj.v10i1.52626
ISSN
2580-2259, 2580-2240
Terbit
2026-02-19
Penerbit
LPPM Universitas Jambi
Bahasa
en
Lisensi
creativecommons.org/licenses/by/4.0

Abstrak

This study was motivated by the limited empirical evidence on the application of systematic methods in solving linear equation systems in physics education, particularly in dynamic electricity, to support students' mathematical reasoning abilities and learning outcomes. Previous studies have mostly emphasized conceptual understanding, while the use of the Gauss–Jordan method as a structured problem-solving approach has received limited attention. Therefore, this study aims to analyze the impact of applying the Gauss–Jordan method on students' mathematical reasoning abilities and learning outcomes. This study used a quasi-experimental design with a posttest-only control group. Participants consisted of 67 high school students and 65 physics education students selected through purposive sampling. Data were collected using essay tests based on four indicators of mathematical reasoning and student response questionnaires. Data were analyzed using the Shapiro–Wilk test, independent samples t-test, and Mann–Whitney U test. The results showed that students in the experimental group obtained significantly higher scores in mathematical reasoning and learning outcomes compared to students in the control group (p < 0.05). The novelty of this study lies in the integration of algorithm-based and matrix-oriented problem solving in dynamic electricity learning. These findings indicate that systematic mathematical modeling strengthens students' reasoning and conceptual understanding in physics. However, the limited sample size restricts generalization, and further research is recommended.

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  • Universitas Jember
  • State University of Semarang
  • State University of Malang
  • Yogyakarta State University
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Rekan penulisOrganisasiArtikel bersama
Sakti Kalisa SefandaUniversitas Jember2
Badriyah BadriyahUniversitas Jember2
Ummi Zahrotul AiniyahUniversitas Jember2
Habibah Khusna BaihaqUniversitas Jember2
Muhammad Najih HamdiYogyakarta State University2
Rif’ati Dina HandayaniUniversitas Jember1
Albertus Djoko LesmonoState University of Semarang1
Srihandono Budi PrastowoAfiliasi tidak diketahui1
Nila Mutia DewiUniversitas Jember1
Kharisma Rafian AzisUniversitas Jember1
Mohammad Anas ThohirState University of Malang1
Maya ArsitaUniversitas Jember1
Simatun Ni’mahUniversitas Jember1
Merry Khanza Kusuma WardhanyUniversitas Jember1
Zidan AfidahUniversitas Jember1
Az Zahra Lintang KinantiUniversitas Jember1

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Sumber metadata: OAI-PMH (metadata jurnal) https://online-journal.unja.ac.id/index.php/JIITUJ/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en">THE EFFECT OF ALGORITHMIC GAUSS–JORDAN METHOD ON MATHEMATICAL REASONING AND LEARNING OUTCOMES IN DYNAMIC ELECTRICITY</dc:title>
	<dc:creator xml:lang="en">Supriadi, Bambang</dc:creator>
	<dc:creator xml:lang="en">Maryani, Maryani</dc:creator>
	<dc:creator xml:lang="en">Putri, Fidia Alhikmah</dc:creator>
	<dc:creator xml:lang="en">Zahro, Rosa Fahriatuz</dc:creator>
	<dc:creator xml:lang="en">Rohman, M Fathor</dc:creator>
	<dc:creator xml:lang="en">Sari, Puput Aprilia Eka</dc:creator>
	<dc:creator xml:lang="en">Nafisah, Nisrina</dc:creator>
	<dc:subject xml:lang="en">Dynamic Electricity</dc:subject>
	<dc:subject xml:lang="en">Gauss-Jordan Elimination</dc:subject>
	<dc:subject xml:lang="en">Mathematical Reaseoning</dc:subject>
	<dc:description xml:lang="en">This study was motivated by the limited empirical evidence on the application of systematic methods in solving linear equation systems in physics education, particularly in dynamic electricity, to support students' mathematical reasoning abilities and learning outcomes. Previous studies have mostly emphasized conceptual understanding, while the use of the Gauss–Jordan method as a structured problem-solving approach has received limited attention. Therefore, this study aims to analyze the impact of applying the Gauss–Jordan method on students' mathematical reasoning abilities and learning outcomes. This study used a quasi-experimental design with a posttest-only control group. Participants consisted of 67 high school students and 65 physics education students selected through purposive sampling. Data were collected using essay tests based on four indicators of mathematical reasoning and student response questionnaires. Data were analyzed using the Shapiro–Wilk test, independent samples t-test, and Mann–Whitney U test. The results showed that students in the experimental group obtained significantly higher scores in mathematical reasoning and learning outcomes compared to students in the control group (p &amp;lt; 0.05). The novelty of this study lies in the integration of algorithm-based and matrix-oriented problem solving in dynamic electricity learning. These findings indicate that systematic mathematical modeling strengthens students' reasoning and conceptual understanding in physics. However, the limited sample size restricts generalization, and further research is recommended.</dc:description>
	<dc:publisher xml:lang="en">LPPM Universitas Jambi</dc:publisher>
	<dc:date>2026-02-19</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://online-journal.unja.ac.id/JIITUJ/article/view/52626</dc:identifier>
	<dc:identifier>10.22437/jiituj.v10i1.52626</dc:identifier>
	<dc:source xml:lang="en">Jurnal Ilmiah Ilmu Terapan Universitas Jambi; Vol. 10 No. 1 (2026): Volume 10, Nomor 1, February 2026; 181-200</dc:source>
	<dc:source>2580-2259</dc:source>
	<dc:source>2580-2240</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://online-journal.unja.ac.id/JIITUJ/article/view/52626/23781</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2026 Bambang Supriadi, Maryani Maryani, Fidia Alhikmah Putri, Rosa Fahriatuz Zahro, M Fathor Rohman, Puput Aprilia Eka Sari, Nisrina Nafisah</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
</oai_dc:dc>