Finding Zero: Mathematical Modeling with Pendulum Paintings

Abstract

Pendulum paintings are popular in modern art and social media as a simple way to create beautiful patterns. This article shows how pendulum paintings can be used to connect art with math and science in classrooms of any level. Students use the painting process to collect data. They also use other “messy data” that may be hard to measure or see to make mathematical models that can predict how long the pendulum would swing. Real-world measurements and models used by scientists and engineers often involve messy data from complex systems. The activity can be easily adapted to and differentiated across multiple grade and ability levels. The activity helps students to analyze what they see, to consider variables that may be hidden, and to perceive math as a useful tool in science. The goal of the exercise is not to necessarily find the right answer, but to ask the right questions to make a testable mathematical model.

Keywords:

• Phenomenon
• mathematical models
• STEAM, arts integration
• messy data
• pendulum
• hands-on
• PBL
• critical thinking
• systems thinking
• data literacy

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Notes on contributors

Daniel L. McKinney

Daniel McKinney ([email protected]; @DrDannyMcKinney on X) (ORCID: 0000-0002-8049-5247) has a passion for science education and professional development. He sees science in every aspect of daily life and uses common phenomena as a foundation to inspire exploration in the classroom for both juvenile and adult learners. With over 22 years of experience as a high school science teacher, he brings an innovative yet informed perspective to his current role as a professional development specialist in Anne Arundel County Public Schools (@AACountySchools on X). Daniel is currently spearheading professional learning throughout his district related to the use of A.I. in instructional practices. He strives to push the first innovative domino and ignite imagination in the minds of his students, initiating positive and progressive change at all levels of public education.