First of all,the two educational systems have profoundly different origin, while Western Europe has its roots in Athens, Rome and Judeo Christianity, Eastern Europe has been influenced by Islam, Confucianism, Taoism and Mahayana Buddhism.
Consequently, Western Education follows the way Plato and ancient Greek thinks, as a result, they value independent learning and critical thinking while on the East passive learning is a more acceptable method.
That is why there is a first main difference: Western education emphasizes on understanding (meaningful learning), whilst Eastern education emphasizes on memorizing (rote learning).