miseducate (v.)

prefix of Germanic origin affixed to nouns and verbs and meaning "bad, wrong," from Old English mis-, from Proto-Germanic *missa- "divergent, astray" (source also of Old Frisian and Old Saxon mis-, Middle Dutch misse-, Old High German missa-, German miß-, Old Norse mis-, Gothic missa-), perhaps literally "in a changed manner," and with a root sense of "difference, change" (compare Gothic misso "mutually"), and thus possibly from PIE *mit-to-, from root *mei- (1) "to change."

Productive as word-forming element in Old English (as in mislæran "to give bad advice, teach amiss"). In 14c.-16c. in a few verbs its sense began to be felt as "unfavorably," and it came to be used as an intensive prefix with words already expressing negative feeling (as in misdoubt). Practically a separate word in Old and early Middle English (and often written as such). Old English also had an adjective (mislic "diverse, unlike, various") and an adverb (mislice "in various directions, wrongly, astray") derived from it, corresponding to German misslich (adj.). It has become confused with mis- (2).

mid-15c., educaten, "bring up (children), to train," from Latin educatus, past participle of educare "bring up, rear, educate" (source also of Italian educare, Spanish educar, French éduquer), which is a frequentative of or otherwise related to educere "bring out, lead forth," from ex- "out" (see ex-) + ducere "to lead," from PIE root *deuk- "to lead." Meaning "provide schooling" is first attested 1580s. Related: Educated; educating.

According to "Century Dictionary," educere, of a child, is "usually with reference to bodily nurture or support, while educare refers more frequently to the mind," and, "There is no authority for the common statement that the primary sense of education is to 'draw out or unfold the powers of the mind.'"