Upon considering the integration of art in teaching mathematical concepts, I came across the idea of having students create tessellations to teach geometry. This particular lesson would teach students about the concepts of geometrical shapes and patterns, as well as allow them to use their creativity to produce a piece of art that represents their understanding. Students could create their tessellation projects in one of two ways—by hand using methods such as origami or drawing or on the computer using software such as GeoGebra or Silhouette and the digital fabricator to create and print the design. I believe it would be most useful for students to create a tangible piece of art in order to be able to understand the concepts being taught. It would also be neat to put all of the finished products up on the wall in the classroom in order for the students to take pride in their creations!
The first picture is a tessellation of fish and the second picture is a tessellation of hexagons I created on GeoGebra in my Geometry class. One positive aspect of creating tessellations to incorporate art and teach mathematical concepts is that students have the opportunity to choose and execute their design however they wish!