As I recently wrote in Don’t Teach Them Facts – Let Student Discover Patterns
It’s unfortunate that student don’t get to use their innate perceptual skills more often in the classroom. Instead of discovering patterns on their own, students are “taught” to memorize patterns developed by someone else. Rather than do the messy work of having to figure out what’s going on, students are saddled with graphic organizers which take all the thinking out of the exercise.
"Doodling in Math Class: Spirals, Fibonacci, and Being a Plant" captures the fascination of patterns in nature. Discover more patterns from Vi Hart - Mathemusician
Image credit: flickr/Duff Axsom