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Exploration on students' understanding layers in solving arithmagon problems

Cakrawala Pendidikan · Vol. 41 No. 1 (2021) · pp. 170–185

DOI
10.21831/cp.v41i1.33837
ISSN
2442-8620, 0216-1370
Published
2021-02-28
Publisher
LPMPP Universitas Negeri Yogyakarta
Language
eng

Abstract

The research aims at exploring the characteristics of "˜don't need' boundaries of students in solving arithmagon problems using qualitative descriptive approach. The participants win this research are 23 eight-grader junior high school students. The research used the instruments including test questions and unstructured interviews. The data collection procedure began with giving test questions to 23 participants. All of them could make mathematical diagrams/drawings/model precisely according to the information presented from the problem. The student who used effective and clear sentences in solving problems though could not solve the problem in a structured manner is called as Subject 1 (S1). The student who did not use effective and clear structured sentences is called as Subject 2 (S2). The student who used effective and clear sentences as well as structured in solving problems is called Subject 3 (S3). This research used triangulation method by exploring data obtained from the test and interview results. According to the research result, it is concluded that S1 crossed the first "˜don't need' boundaries when solving the addition and multiplication arithmagon problems. S2 crossed the first and second "don't need" boundaries when solving addition arithmagon problem and only crossed the first "˜don't need' boundaries in solving multiplication arithmagon problems. However, S3 crossed the second "˜don't need' boundaries in solving arithmagon problem of addition and multiplication. Through this research, it is hoped that further research will be able to find and explore the third "˜don't need' boundaries in solving mathematical problems.

Keywords

Collaboration network of the authors

40 authors · 122 co-authorship links · 55 across different organisations · showing the 40 most connected

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

  • State University of Malang
  • Universitas Negeri Padang
  • Universitas PGRI Madiun
  • Universitas Islam Negeri Raden Intan Lampung
  • University of Malaya
  • Universitas Pattimura
  • Andalas University
  • Other organisations
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Lathiful AnwarState University of Malang8
Wasilatul MurtafiahUniversitas PGRI Madiun3
Susiswo SusiswoState University of Malang3
Abd. QoharUniversitas Islam Negeri Raden Intan Lampung3
SUDIRMAN SUDIRMANState University of Malang3
I Made SulandraState University of Malang3
Abdur Rahman As’ariState University of Malang2
Hutkemri ZulnaidiUniversity of Malaya2
Firdha Mahrifatul ZanaState University of Malang2
I Nengah PartaState University of Malang2
Susana LabuemUniversitas Pattimura2
Yerizon YerizonUniversitas Negeri Padang2
I Made ArnawaAndalas University2
Hendro PermadiState University of Malang2
Tjang Daniel ChandraState University of Malang1
Ariyadi WijayaYogyakarta State University1
Edy Bambang IrawanState University of Malang1
Purwanto PurwantoState University of Malang1
Mujiyem SaptiUniversitas Muhammadiyah Purworejo1
Subanji SubanjiState University of Malang1
Indriati Nurul HidayahState University of Malang1
Rini NurhakikiState University of Malang1
Ety Tejo Dwi CahyowatiState University of Malang1
Miftha HuljannahUniversitas Islam Negeri Sultan Amai Gorontalo1
SusiswoState University of Malang1
Muhammad Noor KholidMuhammadiyah University of Surakarta1
Erry HidayantoState University of Malang1
Irma Rachmah HidayahState University of Malang1
Arif Sapta MandalaState University of Malang1
Suherman SuhermanUniversitas Negeri Padang1
Arnellis ArnellisUniversitas Negeri Padang1
Santi IrawatiState University of Malang1
Isma'ul KhusnaState University of Malang1
Anis Rochma PratiwiState University of Malang1
Purwanto PurwantoSebelas Maret University1
Nego LinuhungUniversitas Muhammadiyah Metro1

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.uny.ac.id/index.php/cp/oai, first harvested 8 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">Exploration on students' understanding layers in solving arithmagon problems</dc:title>
	<dc:creator>Sa'dijah, Cholis</dc:creator>
	<dc:creator>Rahayuningsih, Sri</dc:creator>
	<dc:creator>Sukoriyanto, Sukoriyanto</dc:creator>
	<dc:creator>Qohar, Abd.</dc:creator>
	<dc:subject xml:lang="en-US">"˜don't need' boundaries</dc:subject>
	<dc:subject xml:lang="en-US">problem solving</dc:subject>
	<dc:subject xml:lang="en-US">arithmagons</dc:subject>
	<dc:description xml:lang="en-US">The research aims at exploring the characteristics of "˜don't need' boundaries of students in solving arithmagon problems using qualitative descriptive approach. The participants win this research are 23 eight-grader junior high school students. The research used the instruments including test questions and unstructured interviews. The data collection procedure began with giving test questions to 23 participants. All of them could make mathematical diagrams/drawings/model precisely according to the information presented from the problem. The student who used effective and clear sentences in solving problems though could not solve the problem in a structured manner is called as Subject 1 (S1).  The student who did not use effective and clear structured sentences is called as Subject 2 (S2). The student who used effective and clear sentences as well as structured in solving problems is called Subject 3 (S3).  This research used triangulation method by exploring data obtained from the test and interview results. According to the research result, it is concluded that S1 crossed the first "˜don't need' boundaries when solving the addition and multiplication arithmagon problems. S2 crossed the first and second "don't need" boundaries when solving addition arithmagon problem and only crossed the first "˜don't need' boundaries in solving multiplication arithmagon problems. However, S3 crossed the second "˜don't need' boundaries in solving arithmagon problem of addition and multiplication. Through this research, it is hoped that further research will be able to find and explore the third "˜don't need' boundaries in solving mathematical problems.</dc:description>
	<dc:publisher xml:lang="en-US">LPMPP Universitas Negeri Yogyakarta</dc:publisher>
	<dc:date>2021-02-28</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://journal.uny.ac.id/index.php/cp/article/view/33837</dc:identifier>
	<dc:identifier>10.21831/cp.v41i1.33837</dc:identifier>
	<dc:source xml:lang="en-US">Jurnal Cakrawala Pendidikan; Vol. 41 No. 1 (2022): Cakrawala Pendidikan (February 2022); 170-185</dc:source>
	<dc:source>2442-8620</dc:source>
	<dc:source>0216-1370</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.uny.ac.id/index.php/cp/article/view/33837/pdf</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2021 Jurnal Cakrawala Pendidikan</dc:rights>
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