Muhammad Irfan
Universitas Sarjanawiyata Tamansiswa, Yogyakarta

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SEMIOTIC REASONING EMERGES IN CONSTRUCTING PROPERTIES OF A RECTANGLE: A STUDY OF ADVERSITY QUOTIENT Christine Wulandari Suryaningrum; Purwanto Purwanto; Subanji Subanji; Hery Susanto; Yoga Dwi Windy Kusuma Ningtyas; Muhammad Irfan
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 | Full PDF (593.937 KB) | 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.
Etnomathematics: Batik Activities In Tancep Batik Heru Wahyudi; Sri Adi Widodo; Dafid Slamet Setiana; Muhammad Irfan
Jurnal Pendidikan Matematika IKIP Veteran Semarang Vol 5 No 2 (2021): Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang
Publisher : Urogram Studi Pendidikan Matematika, Universitas IVET

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (348.971 KB) | DOI: 10.31331/medivesveteran.v5i2.1699

Abstract

This study aims to examine the ethnomathematics of batik activity in the Batik Tancep Gunungkidul artwork as contextual mathematics learning. This research is a type of qualitative research with an ethnographic approach. The data was obtained in the form of qualitative data, research data sources obtained through observation, interviews, documentation. The instrument in this study was the researcher himself. Data collection is done by participant observation, in-depth interviews, and documentation. The validity of the data is done by triangulation of data collection techniques and then analyzed descriptively qualitatively. Data analysis is reduced based on Bishop's mathematical fundamental activities. The results of data analysis are then explored in mathematical aspects. The results of the study found mathematical aspects of the area of flat wake area, congruence and congruence of flat wake, comparison, translation, multiplication of count numbers, and volume of curved side space. The results of the study show that the batik activity in the Batik Tancep Gunungkidul artwork is one of the real events that can be raised into contextual mathematics learning. Keywords: Ethnomatematics, Tancep Batik, Contextual Mathematics Learning