positive charges don't move unless it's an electric current through an ionic solution or something related to that.
Electron motion is what is physically going on in conduction. The field is applied and the reference direction of the current is in the "direction that positive charges move." In bulk, positive charges moving to the left is equivalent to equivalent negative charges moving to the right at the same speed.
When you get to semiconductor physics, electron motion becomes more complicated and in some cases is actually easier to describe as motion of a "hole," or an energy state that is not occupied by electrons. Think of it as a whole crapload of electrons cascading around such that it looks just like some tiny little positive charge is moving forward.
Electrochemical reactions shove electrons out the negative terminal of the battery, equivalently "shooting positive charges out of the positive terminal," even though it's really accepting electrons from the positive terminal.
Generators work by moving a coil of wires around relative to a magnet and by a much more complicated force shove electrons around.
near a B.S. in electrical engineering,
applying for Ph.D studies after graduating