USING THE MOORE'S THEORY TO EXPLAIN PRESERVICE TEACHERS’ DIFFICULTIES IN PROVING OF THE TRIANGLE SUM THEOREM

Hartono, Sugi; Siswono, Tatag Yuli Eko; Ekawati, Rooselyna; Bonyah, Ebenezer

doi:10.22437/jiituj.v9i1.36349

Open access Jurnal

USING THE MOORE'S THEORY TO EXPLAIN PRESERVICE TEACHERS’ DIFFICULTIES IN PROVING OF THE TRIANGLE SUM THEOREM

Jurnal Ilmiah Ilmu Terapan Universitas Jambi · Vol. 9 No. 1 (2025) · pp. 104–118

DOI: 10.22437/jiituj.v9i1.36349
ISSN: 2580-2259, 2580-2240
Published: 2025-02-16
Publisher: LPPM Universitas Jambi
Language: en
License: creativecommons.org/licenses/by/4.0

Abstract

This study aims to analyze the difficulties of preservice teachers’ in proving the triangle sum theorem. The method of this study is used a qualitative method with 58 of preservice mathematics teacher studying for a Bachelor of Education degree in Universitas Negeri Surabaya, Indonesia. The authors analysed the written responses to a 1 item worksheet and also conducted interviews with seven of the participants. The analysis of the data was guided by Moore’s theory which was used to identify difficulties of preservice teachers’ in proving of the triangle sum theorem. The results showed that still many of preservice teachers still difficulties in proving of the triangle sum theorem. There were 38% of preservice teachers who answered correctly and 62% of preservice teachers answered incorrectly in compiling proof. It was found that several preservice teachers had difficulties in compiling proofs, namely 30 preservice teachers had difficulty understanding the concept, 2 preservice teacher's did not understand the language and mathematical notation and 4 preservice teacher's had difficulty starting the proof. The novelty of this research is introducing a new theoretical analysis related to the difficulty in proving the fundamental theorem of geometry, namely Moore's theory. This study recommends that preservice teacher’s should be given solution through scaffolding to help preservice teacher's understand the concept of proof so that students can compiling proofs with correct.

Keywords

Collaboration network of the authors

13 authors · 31 co-authorship links

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

Universitas Pahlawan Tuanku Tambusai
Affiliation unknown

Different organisations
Same organisation
Affiliation unknown
Thicker line = more joint articles · bigger circle = more articles

Show as table

Co-author	Organisation	Joint articles
Karunia Eka Lestari	Affiliation unknown	1
Mokhammad Ridwan Yudhanegara	Affiliation unknown	1
Edwin Setiawan Nugraha	Affiliation unknown	1
Sisilia Sylviani	Affiliation unknown	1
Molli Wahyuni	Universitas Pahlawan Tuanku Tambusai	1
Sri Widayati	Affiliation unknown	1
Tatag Eko Yuli Siswono	Affiliation unknown	1
Wiryanto Wiryanto	Affiliation unknown	1
neni Mariana	Affiliation unknown	1

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://online-journal.unja.ac.id/index.php/JIITUJ/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.

Original metadata (oai_dc)

<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en">USING THE MOORE'S THEORY TO EXPLAIN PRESERVICE TEACHERS’ DIFFICULTIES IN PROVING OF THE TRIANGLE SUM THEOREM</dc:title>
	<dc:creator xml:lang="en">Hartono, Sugi</dc:creator>
	<dc:creator xml:lang="en">Siswono, Tatag Yuli Eko</dc:creator>
	<dc:creator xml:lang="en">Ekawati, Rooselyna</dc:creator>
	<dc:creator xml:lang="en">Bonyah, Ebenezer</dc:creator>
	<dc:subject xml:lang="en">Difficulties in Proving</dc:subject>
	<dc:subject xml:lang="en">Moore’s Theory</dc:subject>
	<dc:subject xml:lang="en">The Triangle Sum Theorem</dc:subject>
	<dc:subject xml:lang="en">Preservice Teachers</dc:subject>
	<dc:description xml:lang="en">This study aims to analyze the difficulties of preservice teachers’ in proving the triangle sum theorem. The method of this study is used a qualitative method with 58 of preservice mathematics teacher studying for a Bachelor of Education degree in Universitas Negeri Surabaya, Indonesia. The authors analysed the written responses to a 1 item worksheet and also conducted interviews with seven of the participants. The analysis of the data was guided by Moore’s theory which was used to identify difficulties of preservice teachers’ in proving of the triangle sum theorem. The results showed that still many of preservice teachers still difficulties in proving of the triangle sum theorem. There were 38% of preservice teachers who answered correctly and 62% of preservice teachers answered incorrectly in compiling proof. It was found that several preservice teachers had difficulties in compiling proofs, namely 30 preservice teachers had difficulty understanding the concept, 2 preservice teacher's did not understand the language and mathematical notation and 4 preservice teacher's had difficulty starting the proof. The novelty of this research is introducing a new theoretical analysis related to the difficulty in proving the fundamental theorem of geometry, namely Moore's theory. This study recommends that preservice teacher’s should be given solution through scaffolding to help preservice teacher's understand the concept of proof so that students can compiling proofs with correct.</dc:description>
	<dc:publisher xml:lang="en">LPPM Universitas Jambi</dc:publisher>
	<dc:date>2025-02-16</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/36349</dc:identifier>
	<dc:identifier>10.22437/jiituj.v9i1.36349</dc:identifier>
	<dc:source xml:lang="en">Jurnal Ilmiah Ilmu Terapan Universitas Jambi; Vol. 9 No. 1 (2025): Volume 9, Nomor 1, March 2025; 104-118</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/36349/20136</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2025 Sugi Hartono, Tatag Yuli Eko Siswono, Rooselyna Ekawati, Ebenezer Bonyah</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
</oai_dc:dc>