The greatest problem with our educational system is to neglect the fact that students begin to forget immediately after graduation. All these years in k-12 education gradually turns to dust until only reading, writing, and some basic agelbra are left, and some career related knowledge.
Trignometry? Biology? Chemistry? These are subjects that all adults once know in their high school years, now all forgotten.
Instead of documentaries assuming we know chemistry, or trignometery, or biology, they introduced "DNA" as if we never been in a biology class. They only skims the top of the scientific knowledge cake because they never assume everybody knows.
Imagine the complexity and increased believablity of fiction and non-fiction if they have to wrestle with an audience that know those things by heart, even if they only took a chemistry class that single semester?
Alas, we forgotten and our educational dollars disappeared in a puff of smoke.