I studied this as part of my master's work at Stanford a few years ago. The general answer is that Nazi history became a tool for the ideologies controlling each half of Germany. The Soviets used Nazi history to extol the dangers of capitalism and virtues of communism, while the Americans did their best to link Nazism to Soviet communism in the West and present democracy as the only alternative.

My study was focused on pop culture of the period, so most of my study of the education system had to do with the educationally-linked entertainment for the students. In the East, this entertainment tended to show the Nazis as buffoon-like villains. In the West, a lot of post-war German entertainment (especially film) ignored the Nazi period entirely, focusing instead on redefining "Germanness" by setting stories in late 19th century German countryside in a genre known as heimatfilm. Lots of lederhosen.

EDIT: (add sources) The books I found most helpful (again, focusing on popular film) were Light Motives: German Popular Film in Perspective (Randall Halle and Margaret McCarthy) and The Cosmopolitan Screen: German Cinema and the Global Imaginary, 1945 to the Present (Hanno Loewy). I had a list of educational sources at one point, but they're in a box somewhere at the moment.