Cinema (movies) have been around since the turn of the century 1900s.
It wasn't really until the 50s that film was being taught in colleges, and people could go to school for a film degree.
Nowadays, most colleges (like mine, University of Kansas) have film 'studies' degrees. They focus very little on making movies and more on understanding the theory behind cinema.
Video games have been around since the 70s.
There are colleges where you can go to study video games and how to make them.
But there isn't really a wide spectrum on teaching about video game history...
I'm guessing that sometime within the next 30 or so years, we'll start to see video game theory as a major or even video game studies, where students are REQUIRED to play through certain games.
Now, SHOULD this happen? It's hard to say.
People used to read for pleasure all the time, and now most people find reading to be a chore.
A lot of film students find watching old cinema from the 1910s to 1950s a chore, despite that being the most popular form of entertainment through the depression in the 30s.
I think games will eventually start being taught in schools, but they'll have to wade through the history of it like pong, the atari 2600, and even E.T. before hitting the fun ones like the NES and Sega Genesis.