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The Effectiveness of Special Relativity Student Worksheet Assisted by The Pythagorean Theorem in Physics Learning

Jurnal Pendidikan Fisika Indonesia · Vol. 22 No. 1 (2026) · pp. 99–117

DOI
10.15294/jpfi.v22i1.37661
ISSN
2355-3812, 1693-1246
Published
2026-06-24
Publisher
Universitas Negeri Semarang
Language
eng

Abstract

In the 21st-century education era, integrating innovative learning media is essential to develop mathematical thinking skills and improve overall student learning outcomes, especially when addressing highly abstract physics topics such as Einstein’s special theory of relativity. This research aims to implement a specifically designed Student Worksheet (SW) assisted by the Pythagoras theorem to develop mathematical thinking indicators, enhance student learning performance, and evaluate student responses toward the media. The research employed a pre-experimental method with a one-group pretest-posttest design conducted at SMAN Mumbulsari during the 2024/2025 academic year. Using convenience sampling, 72 eleventh-grade students from two physics elective classes were selected as research subjects. Data collection was carried out using validated pretest-posttest essay questions, Student Worksheets focused on four key mathematical thinking elements: specializing, generalizing, conjecturing, and convincing, and response questionnaires based on a Likert scale. Data analysis utilized the Normalized Gain (N-gain) score to measure the improvement in learning outcomes and descriptive statistics to determine the percentage of student responses. The results indicated that students' mathematical thinking skills fell into the good to very good range across all indicators. Furthermore, learning outcomes showed an average N-gain of 0.57, placing the improvement in the moderate category, complemented by a positive student response rate of 68.20%. These findings demonstrate that the Pythagoras-assisted SW effectively improves learning performance in physics. This research provides significant practical benefits as an innovative instructional alternative for physics teachers, simplifying complex, abstract concepts through a geometric approach, thereby helping students overcome mathematical barriers and fostering a deeper understanding of physics.

Keywords

Collaboration network of the authors

19 authors · 63 co-authorship links · 15 across different organisations

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Universitas Jember
  • Yogyakarta State University
  • State University of Semarang
  • State University of Malang
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
M MaryaniUniversitas Jember2
Rosa Fahriatuz ZahroUniversitas Jember2
M Fathor RohmanUniversitas Jember2
Puput Aprilia Eka SariUniversitas Jember2
Nisrina NafisahUniversitas Jember2
Rif’ati Dina HandayaniUniversitas Jember1
Albertus Djoko LesmonoState University of Semarang1
Srihandono Budi PrastowoAffiliation unknown1
Nila Mutia DewiUniversitas Jember1
Kharisma Rafian AzisUniversitas Jember1
Mohammad Anas ThohirState University of Malang1
Muhammad TaufikiAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.unnes.ac.id/journals/JPFI/oai, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc)
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	<dc:title xml:lang="en">The Effectiveness of Special Relativity Student Worksheet Assisted by The Pythagorean Theorem in Physics Learning</dc:title>
	<dc:creator xml:lang="en">Supriadi, Bambang</dc:creator>
	<dc:creator xml:lang="en">Sefanda, Sakti Kalisa </dc:creator>
	<dc:creator xml:lang="en">Badriyah, Badriyah</dc:creator>
	<dc:creator xml:lang="en">Putri, Fidia Alhikmah </dc:creator>
	<dc:creator xml:lang="en">Ainiyah, Ummi  Zahrotul </dc:creator>
	<dc:creator xml:lang="en">Baihaq, Habibah Khusna </dc:creator>
	<dc:creator xml:lang="en">Hamdi, Muhammad Najih </dc:creator>
	<dc:subject xml:lang="en">effectiveness, mathematical ability, student worksheet, special relativity of the Pythagorean theorem</dc:subject>
	<dc:description xml:lang="en">In the 21st-century education era, integrating innovative learning media is essential to develop mathematical thinking skills and improve overall student learning outcomes, especially when addressing highly abstract physics topics such as Einstein’s special theory of relativity. This research aims to implement a specifically designed Student Worksheet (SW) assisted by the Pythagoras theorem to develop mathematical thinking indicators, enhance student learning performance, and evaluate student responses toward the media. The research employed a pre-experimental method with a one-group pretest-posttest design conducted at SMAN Mumbulsari during the 2024/2025 academic year. Using convenience sampling, 72 eleventh-grade students from two physics elective classes were selected as research subjects. Data collection was carried out using validated pretest-posttest essay questions, Student Worksheets focused on four key mathematical thinking elements: specializing, generalizing, conjecturing, and convincing, and response questionnaires based on a Likert scale. Data analysis utilized the Normalized Gain (N-gain) score to measure the improvement in learning outcomes and descriptive statistics to determine the percentage of student responses. The results indicated that students' mathematical thinking skills fell into the good to very good range across all indicators. Furthermore, learning outcomes showed an average N-gain of 0.57, placing the improvement in the moderate category, complemented by a positive student response rate of 68.20%. These findings demonstrate that the Pythagoras-assisted SW effectively improves learning performance in physics. This research provides significant practical benefits as an innovative instructional alternative for physics teachers, simplifying complex, abstract concepts through a geometric approach, thereby helping students overcome mathematical barriers and fostering a deeper understanding of physics.</dc:description>
	<dc:publisher xml:lang="en">Universitas Negeri Semarang</dc:publisher>
	<dc:date>2026-06-24</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unnes.ac.id/journals/JPFI/article/view/37661</dc:identifier>
	<dc:identifier>10.15294/jpfi.v22i1.37661</dc:identifier>
	<dc:source xml:lang="en">Jurnal Pendidikan Fisika Indonesia; Vol. 22 No. 1 (2026); 99-117</dc:source>
	<dc:source>2355-3812</dc:source>
	<dc:source>1693-1246</dc:source>
	<dc:source>10.15294/jpfi.v22i1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.unnes.ac.id/journals/JPFI/article/view/37661/10252</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2026 Jurnal Pendidikan Fisika Indonesia</dc:rights>
</oai_dc:dc>