Application of ethnomathematics in the teaching of integral calculus at the state polytechnic University of Carchi

The students of the Basic Sciences Center of the State Polytechnic University of Carchi present difficulties in abstract topics in Integral Calculus on volumes of revolution for which the implementation of ethnomathematics is proposed as an alternative to improve learning results. This current seeks to integrate and value the mathematical practices of diverse cultures in teaching, enriching the educational process with a contextualized and diverse approach. How ethnomathematics is intertwined with creativity and culture in clay pot design is explored, highlighting the importance of mathematics in a specific cultural context. The relationship between the Pasto culture and UPEC exemplifies how institutions can collaborate with indigenous communities to preserve their cultural heritage. In addition, integral calculus and its application in vessel design are analyzed, demonstrating that ethnomathematical teaching generates a deeper and more applicable understanding of mathematics, promoting a broad and diverse vision of this discipline and increasing student motivation.