Abstract
In general, many people still view mathematics as a subject that is far from reality and culture in everyday life. Historically, in fact, mathematics is very close to daily life and was developed by humans in response to the surrounding phenomena. Indonesia has diverse cultures, including in Yogyakarta. This culture can be used to explore mathematical concepts as a transformational effort to bring mathematics closer to the reality and perception of its people. Besides, we can use culture as the basis of learning mathematics in schools. Therefore, this study seeks to explore a mathematical concept of geometry transformation in the Yogyakarta batik pattern. This is an ethnography study. The research data were collected through observations, literature studies, and interviews with the batik culture practitioner and artist to understand the batik techniques and moral, historical, and philosophical values in each batik motif. This study's results indicate that in Yogyakarta batik, it uses the concept of geometry transformation in the making of Yogyakarta's unique Batik motif. Besides that, each motif or pattern also contains local values. These, namely moral, historical, and philosophical values, can be felt, reflected, and applied in daily life, such as values that teach leadership, good deeds, and so on.
Highlights
Abstrak Secara umum masih banyak orang yang memandang matematika sebagai ilmu yang jauh dari realitas dan budaya dalam kehidupan sehari-hari
The results showed that in the culture of people of Yogyakarta, there is a patterned cloth or known as batik, which is used in certain traditional events such as pregnancy, marriage, death ceremonies, and so on in the culture of the people of Yogyakarta
Despite the many new modern batik motifs, the Yogyakarta batik pattern or the Ngayogyakarta palace batik pattern, which is the legacy of the Mataram Kingdom's ancestors, is still preserved today
Summary
Abstrak Secara umum masih banyak orang yang memandang matematika sebagai ilmu yang jauh dari realitas dan budaya dalam kehidupan sehari-hari. Penelitian ini berupaya menggali konsep matematis dari topik transformasi geometri pada motif batik Yogyakarta. Regarding mathematics education problems in Indonesia, a transformational effort is needed to bring mathematics closer to the reality and culture of students. Ethnomathematics learns and combines mathematical ideas, ways, with techniques that are practiced and developed by socio-culture or community culture (Barton, 1999; D'Ambrosio, 2007; D'Ambrosio, 2016; Rosa & Orey, 2016). Humans in an area with a specific culture will respond to their environment in a way, style, and technique or develop a knowledge system that they find themselves (D'Ambrosio, 2007; D'Ambrosio, 2016; Rosa & Orey, 2016).
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