Ethnomathematics Analysis: Integral Calculus in Traditional Vessel Forms of Cirebon Kasepuhan Palace

Abstract

This study aims to examine the concept of definite integrals embedded in traditional vessel forms from the Kasepuhan Cirebon Palace through an ethnomathematical perspective. A qualitative descriptive approach was employed, using artifact observation, visual documentation, and limited interviews as data collection techniques. The objects of study included small cups, bowls, jars, and cylindrical containers. The analysis was conducted by modeling the vessel profiles as continuous functions rotated about an axis to form solids of revolution. The results indicate that traditional vessels exhibit rotational symmetry and smooth curvature, allowing the application of definite integrals to determine volume and surface area. These forms reflect principles of efficiency, stability, and material optimization that align with formal calculus concepts. The findings suggest that traditional cultural practices embody intuitive and contextual mathematical knowledge. This study contributes to ethnomathematics by highlighting the potential of cultural artifacts as contextual learning resources for enhancing students’ understanding of abstract integral concepts.