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SEMIOTIC REASONING EMERGES IN CONSTRUCTING PROPERTIES OF A RECTANGLE: A STUDY OF ADVERSITY QUOTIENT

Journal on Mathematics Education · Vol. 11 No. 1 (2020) · pp. 95–110

DOI
10.22342/jme.11.1.9766.95-110
ISSN
2407-0610, 2087-8885
Published
2020-01-25
Publisher
Indonesian Mathematical Society
License
creativecommons.org/licenses/by/4.0

Abstract

Semiotics is simply defined as the sign-using to represent a mathematical concept in a problem-solving. Semiotic reasoning of constructing concept is a process of drawing a conclusion based on object, representamen (sign), and interpretant. This paper aims to describe the phases of semiotic reasoning of elementary students in constructing the properties of a rectangle. The participants of the present qualitative study are three elementary students classified into three levels of Adversity Quotient (AQ): quitter/AQ low, champer/AQ medium, and climber/AQ high. The results show three participants identify object by observing objects around them. In creating sign stage, they made the same sign that was a rectangular image. However, in three last stages, namely interpret sign, find out properties of sign, and discover properties of a rectangle, they made different ways. The quitter found two characteristics of rectangular objects then derived it to be a rectangle’s properties. The champer found four characteristics of the objects then it was derived to be two properties of a rectangle. By contrast, Climber found six characteristics of the sign and derived all of these to be four properties of a rectangle. In addition, Climber could determine the properties of a rectangle correctly.

Collaboration network of the authors

40 authors · 112 co-authorship links · 40 across different organisations

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

  • State University of Malang
  • State University of Makassar
  • Universitas Muhammadiyah Jember
  • Universitas Jember
  • Universitas Muhammadiyah Purworejo
  • Yogyakarta State University
  • Universitas Islam Malang
  • Other organisations
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Abdur Rahman As’ariState University of Malang3
Dian KurniatiUniversitas Jember2
Cholis Sa’dijahState University of Malang2
Susiswo SusiswoState University of Malang2
Ika SantiaState University of Malang2
Akbar SutawidjadjaState University of Malang2
Sudirman SudirmanState University of Malang2
Dwiyana DwiyanaState University of Malang1
Ariyadi WijayaYogyakarta State University1
Edy Bambang IrawanState University of Malang1
Mujiyem SaptiUniversitas Muhammadiyah Purworejo1
Yayan Eryk SetiawanUniversitas Islam Malang1
I Nengah PartaState University of Malang1
Sisworo SisworoState University of Malang1
Indriati Nurul HidayahState University of Malang1
SUDIRMAN SUDIRMANState University of Malang1
Lutfi LutfiState University of Makassar1
Nour Ariyanti AmirState University of Makassar1
Romansyah SahabuddinState University of Makassar1
Abdul ZahirUniversitas Cokroaminoto Palopo1
Sharifah Binti OsmanUniversity of Technology Malaysia1
Dewi HamidahUIN Syekh Wasil Kediri1
Toto NusantaraAffiliation unknown1
Sukoriyanto SukoriyantoState University of Malang1
Satriya Adika Arif AtmajaAffiliation unknown1
Syamsuri SyamsuriAffiliation unknown1
Santi IrawatiAffiliation unknown1
Purwanto PurwantoCenderawasih University1
Anik KiranaAffiliation unknown1
Syahrul MubaroqAffiliation unknown1
Hasan SuaediAffiliation unknown1
Moh ZayyadiUniversitas Madura1
Sri Indriati HasanahAffiliation unknown1
Chairul Fajar TafrilyantoAffiliation 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.

This record comes from Crossref (what the publisher deposited), because the journal's own OAI-PMH endpoint could not be harvested.

Metadata source: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2407-0610/works, first harvested 28 Oct 2026, last seen 8 Nov 2026.
Metadata as oai_dc, converted from Crossref
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/"><dc:title>SEMIOTIC REASONING EMERGES IN CONSTRUCTING PROPERTIES OF A RECTANGLE: A STUDY OF ADVERSITY QUOTIENT</dc:title><dc:creator>Suryaningrum, Christine Wulandari</dc:creator><dc:creator>Purwanto, Purwanto</dc:creator><dc:creator>Subanji, Subanji</dc:creator><dc:creator>Susanto, Hery</dc:creator><dc:creator>Ningtyas, Yoga Dwi Windy Kusuma</dc:creator><dc:creator>Irfan, Muhammad</dc:creator><dc:description>&lt;jats:p&gt;Semiotics is simply defined as the sign-using to represent a mathematical concept in a problem-solving. Semiotic reasoning of constructing concept is a process of drawing a conclusion based on object, representamen (sign), and interpretant. This paper aims to describe the phases of semiotic reasoning of elementary students in constructing the properties of a rectangle. The participants of the present qualitative study are three elementary students classified into three levels of Adversity Quotient (AQ): quitter/AQ low, champer/AQ medium, and climber/AQ high. The results show three participants identify object by observing objects around them. In creating sign stage, they made the same sign that was a rectangular image. However, in three last stages, namely interpret sign, find out properties of sign, and discover properties of a rectangle, they made different ways. The quitter found two characteristics of rectangular objects then derived it to be a rectangle’s properties. The champer found four characteristics of the objects then it was derived to be two properties of a rectangle. By contrast, Climber found six characteristics of the sign and derived all of these to be four properties of a rectangle. In addition, Climber could determine the properties of a rectangle correctly.&lt;/jats:p&gt;</dc:description><dc:publisher>Indonesian Mathematical Society</dc:publisher><dc:date>2020-01-25</dc:date><dc:type>info:eu-repo/semantics/article</dc:type><dc:format>application/pdf</dc:format><dc:identifier>https://doi.org/10.22342/jme.11.1.9766.95-110</dc:identifier><dc:identifier>10.22342/jme.11.1.9766.95-110</dc:identifier><dc:source>Journal on Mathematics Education; Vol 11 No 1 (2020); 95-110</dc:source><dc:source>2407-0610</dc:source><dc:source>2087-8885</dc:source><dc:relation>https://ejournal.unsri.ac.id/index.php/jme/article/viewFile/9766/pdf</dc:relation><dc:rights>https://creativecommons.org/licenses/by/4.0</dc:rights></oai_dc:dc>