I would add this - Gen 1 and 2 teach us that God's Creation is a gift and not a necessity to God. The Bible is written to teach us within our obvious limitations, so Genesis must be read as it was written, and the entire biblical message is obtained for us from the entire Bible as the Word of God.
On progressive creation, like so many views nowadays, it is more a derivation from science and should be treated as such. Within such a framework, we would speak of God completing the creation as a transcendent being, and the entire creation (from beginning to the end) is known to Him and conforms to His will. Other expressions that seek to contradict this orthodoxy, are of an open system that is "tweaked from time to time"; our view is of a closed (completed) system, subject to God's will, sustained by God, and the result of His energies.
Much has been written on the latter, but when all is said and done, Genesis accounts of creation are not in conflict - our debates inevitably result from attempts to include our limited scientific understanding into theological discussions..