Suryaningrum, Christine Wulandari
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REPRESENTATION OF SCHEMATIC VISUAL IN SOLVING PYTHAGORAS’ WORDPROBLEM Suryaningrum, Christine Wulandari; Purwanto, Purwanto; Subanji, Subanji; Susanto, Hery
International Journal of Insights for Mathematics Teaching (IJOIMT) Vol 1, No 1 (2018)
Publisher : Universitas Negeri Malang

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Abstract

The aim of this article is to identify the steps which were done by the students in solving Pythagoras? word problems. This study used qualitative research by using explorative descriptive approach. The subject of this study was four students who werein seventh grade of Junior High school of Muhammadiyah 1 Jember.  The subjects givenone problem in the form of story that had to be done based on their styles.  From the result analysis of the study was found that the students tried to understand the aim of the problems by using picture, compass direction, and Pythagoras? pattern. In solving Pythagoras? word problem, the students used representation of schematic visual. In making schematic picture, the students were supposedto be consistent with compass direction. The student that isconsistent with compass direction can make the schematic picture correctly and with a picture,the student can solve the word problems by using Pythagoras? pattern correctly. The student who is inconsistent with compass direction will get difficulties in making schematic picture and not be able to solve Pythagoras? word problems correctly.
SEMIOTIC REASONING EMERGES IN CONSTRUCTING PROPERTIES OF A RECTANGLE: A STUDY OF ADVERSITY QUOTIENT Suryaningrum, Christine Wulandari; Purwanto, Purwanto; Subanji, Subanji; Susanto, Hery; Ningtyas, Yoga Dwi Windy Kusuma; Irfan, Muhammad
Journal on Mathematics Education Vol 11, No 1 (2020)
Publisher : Department of Doctoral Program on Mathematics Education, Sriwijaya University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.11.1.9766.95-110

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.