Ethnomathematical analysis of volume constructions in curved-sided solids

Abstract

Located in Semarang, Sam Poo Kong Temple is a prominent cultural site for the Chinese community, featuring various architectural elements that embody Chinese heritage. This study investigates the ethnomathematical significance of objects at the Sam Poo Kong Temple, particularly focusing on the identification and volume calculation of curved-sided figures. Employing a descriptive qualitative research design with ethnographic methods, the study identifies significant objects, including giant kendil, lanterns, large candles, and spherical ornaments on lion dance statues, as rich sources for teaching analytic geometry. These items illustrate real-world applications of mathematical concepts, particularly in determining volumes through the principles of curved surfaces and integral calculus for rotating bodies. The findings indicate that integrating these culturally relevant objects into geometry education not only enhances students' understanding of mathematical principles but also fosters a deeper appreciation of their cultural context.

Keywords: Analytical geometry; ellipses; ethnomathematics; hyperbolas