This is an absolutely magical and intuitive (not to mention beautiful) way to imagine the complex mathematical concept of a Markov Chain. This is the exact sort of pedagogical tools that MOOCs and other educational software platforms need to build and adopt to bring education into the 21st Century and finally replace traditional teaching methods. How does this compare to what even the best teacher could draw on a whiteboard? Teachers will still play an essential role in the emotional and social development of students, and they can then focus their energy on these things which software probably will struggle to ever replace.