CALCULUS WITH CREATIVE ART – A BIDIRECTIONAL APPROACH TO CONCEPTUAL UNDERSTANDING
K.K.T.S. Bandara1*, N.A.N.L. Jayathilake2 and S.C. Mathugama3
1,2,3Institute of Technology, University of Moratuwa, Sri Lanka
Session: Technical Session D
Abstract
Many students struggle with calculus because it requires a strong foundational understanding, deals with abstract concepts, and is often difficult to visualize or connect to real-world scenarios. This can lead to low engagement and confusion among learners. This research is directed towards the fusion of creative art and calculus in a bidirectional conceptual understanding process. Several past studies have explored the relationship between mathematics and art in creation and understanding. The key aim of this study is to integrate creative arts with mathematics to enhance conceptual understanding and engagement among learners. Two interactive learning activities were designed for Semester I students at the Institute of Technology, University of Moratuwa. Activity 1 featured creative math expressions such as mind maps, art, posters, designs, poetry, and games. Activity 2 involved students in creating visual artworks using mathematical concepts such as hyperbolas, parabolas, and the Fibonacci sequence. A paired t-test comparing performance before and after the first activity revealed a statistically significant improvement (! = 9.08, " < 0.05), indicating enhanced understanding of core calculus concepts. Analysis of the second activity demonstrated that students effectively applied mathematical principles in designing artistic pieces, fostering creativity and critical thinking. Feedback was collected afterward to evaluate engagement and perceived learning. Findings suggest that combining art and mathematics through creative expression can serve as an effective pedagogical strategy aligned with the “Calculus with Creative Art” approach to conceptual understanding. Additionally, it suggests that more similar activities could be encouraged to develop students’ cognitive and creative abilities.
Keywords: creative art with math, critical thinking, mathematical mind maps
DOI: 10.64752/EHON2088