Yes, the wording is correct.
In this case, the phrase into the classroom is an expression meaning into the educational environment.
The Atlantic used the same phrase in a similar way in its article entitled Bringing Twitter to the Classroom (published Sep 15 2014). In fact, a Google search for
"into the classroom" shows many similar results, such as Using Humor in the Classroom and Bringing Nature into the Classroom.
News channels wouldn't be pumped into one particular classroom, but into classrooms across the country. It's not referring to any particular classroom; it's referring to classrooms in general. In a similar way, we might say that we are "bringing iPads to the dugout" – not referring to one particular dugout, but to managerial positions all across baseball. The word "the" can be used like that (see my previous answer here for more examples, along with a lighthearted explanation as to why you are confused).