This paper describes a course that integrates drawing and mathematics in postgraduate art education at the University of Porto. Interdisciplinary Approaches to Geometry (IAG) goes beyond the traditional approach found in artistic and design-related programs, where geometry is mainly used as a representational tool. Instead, it addresses problems related to shape and space, relying on the rational model of geometry as understood from different disciplinary perspectives. Through research-based learning, students develop individual projects exploring an integrated approach to geometry. The course provides a unique dual perspective by involving instructors from both the drawing and mathematics disciplines, who teach together in all classes, ensuring a continuous multidisciplinary dialogue. The paper concludes presenting selected student projects that illustrate diverse applications and creative solutions.