"Spread" concepts mostly refer to placement of receivers. You usually want more than two (maybe TEs as well), and the idea is to cover the field. It prevents the defense from keying to one area or player. The QB counts into the box, determines run or pass (if there's more than, say, 5 defenders near the OL, then you'd like a pass play), then looks to see who's winning their one-on-one match up. The key running play for the spread is typically the "inside zone". In that play, the RB and QB come together after the snap (shotgun). The QB looks at the defensive end and reads whether he's crashing down the line (pushing laterally on the OL to compress or gain an angle) or rushing straight ahead to get to the QB.If that end is crashing, the QB keeps the ball and tries to run around the now vacated end of the line. If the DE rushes, he gives the ball to the RB in hopes that he has vacated gaps inside the OL to run through.
"Wide zone" broadly refers to the motion of the OL. At the snap, the members of the OL more or less make lateral movements toward the play side (where the natural motion of the RB and QB would be headed). As they head laterally, they begin to engage the first unblocked member of the defense they come to (that's "zone" blocking). The blocking motion attempts to widen out the defense. Ideally, the RB will get the ball and be a "one cut" guy (that is, he finds the first good daylight gap created by the widening OL, plants his foot hard, and heads upfield without hesitation) capable of defeating a defensive secondary player one-on-one. To keep the defense from simply flooding the gaps with more players, the offense will incorporate "counter" (where the RB takes an initial step towards that natural motion, but then cuts back against the grain and past the over-pursuing defenders) motion or QB bootlegs (the QB does not hand off, but instead spins back to the other side ready to run or throw).
These area hand-waving definitions, since modern offenses incorporate many diverse elements in order to disguise their intent and prolong the chess match with the defensive coordinators.