A "Summon" is from either a
Normal -->Tribute, or Regular, Card Effect
Special -->Ritual, Fusion, Card Effect, Tokens
Once the monster is positioned on the field after the special summon, whether it is by Card Text, or the absence of it, unless it specifically states otherwise, ALL monsters are summoned "face-up" in either attack or defense, again, according to the Text, or lack there of.
Once a monster is summoned, there are no Manual Movements that can be conducted by THE SUMMONING PLAYER. If the monster is taken control of by the opponent during the turn the monster was summoned, that player may now manually move the monster as they did not summon it.
If you Special Summon a monster using
Level Modulation, and then use
Book of Moon on it, you would have to use an effect to return it face-up.