Making Meaning of Angles and Degrees: Art and Programming the LogoTurtle

Exploring geometry by making art with Logo programming using a physical floor turtle allows for deeper comprehension of mathematics concepts like angles and degrees. A computer screen is too precise to capture the nuances that a floor turtle immediately exposes when students program geometric shapes to create art. The physical construction of a floor turtle is also an ideal STEAM project, combining 3D printing, electronics, microcontroller programming, and debugging. Students who use this analog tool to create art easily develop personally meaningful mathematics challenges that provide for the construction of authentic mathematical knowledge.