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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) · hlm. 95–110

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

Abstrak

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.

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  • State University of Malang
  • State University of Makassar
  • Universitas Muhammadiyah Jember
  • Universitas Jember
  • Universitas Muhammadiyah Purworejo
  • Yogyakarta State University
  • Universitas Islam Malang
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Rekan penulisOrganisasiArtikel bersama
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 NusantaraAfiliasi tidak diketahui1
Sukoriyanto SukoriyantoState University of Malang1
Satriya Adika Arif AtmajaAfiliasi tidak diketahui1
Syamsuri SyamsuriAfiliasi tidak diketahui1
Santi IrawatiAfiliasi tidak diketahui1
Purwanto PurwantoCenderawasih University1
Anik KiranaAfiliasi tidak diketahui1
Syahrul MubaroqAfiliasi tidak diketahui1
Hasan SuaediAfiliasi tidak diketahui1
Moh ZayyadiUniversitas Madura1
Sri Indriati HasanahAfiliasi tidak diketahui1
Chairul Fajar TafrilyantoAfiliasi tidak diketahui1

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Sumber metadata: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2407-0610/works, pertama di-harvest 28 Okt 2026, terakhir terlihat 8 Nov 2026.
Metadata sebagai oai_dc, dikonversi dari Crossref
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