Semiotic reasoning emerges in constructing properties of a rectangle: A study of adversity quotient

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Christine Wulandari Suryaningrum, Purwanto, Subanji, Hery Susanto, Yoga Dwi Windy Kusuma Ningtyas, Muhammad Irfan

2020 Journal on Mathematics Education Vol. 11 Issue 1 Article Cited by 23 Quartile

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. © 2020 Sriwijaya University. All rights reserved.

Affiliations

Universitas Negeri Malang, Malang, Indonesia; Universitas Muhammadiyah Jember, Jember, Indonesia; Universitas Sarjanawiyata Tamansiswa, Yogyakarta, Indonesia