Where does “lärer” come from?

lärer (Elfdalian) comes from Swedish lära, from Old Norse læra, from Middle Low German lēren, from Old Saxon lērian, from Proto-West Germanic laiʀijan, from Proto-Germanic laizijaną, from Proto-Indo-European loyséyeti, from Proto-Indo-European leys — to trace; to track.

lärer (Elfdalian): (mostly male) teacher