New Swim Instructor

Had my first lesson with a new swim instructor this week; primary goal is to improve my freestyle stroke such that I take in air instead of water when breathing - good goal don’t you think:). Confirmed that my problem is that I don’t keep my lead glide hand/arm stretched out long enough between strokes. I also sometimes don’t turn my head to breath at the beginning of a new stroke. The result is that my head is often too low in the water when I turn to take a breath. The instructor (Greg) gave me several drills to work on this week to basically correct my timing/technique - I’ve heard these referred to as “catch up” drills because one is allowing one arm to catch up with the other prior to taking the next stroke. Basically, it is swimming in superman position  with both arms fully extended in front of you and at the top of the water. When one arm goes into the stroke, the 2nd arm stays out in front and doesn’t leave this position until the first arm returns (i.e., catches up) to the front position; at least this is how I interpret it.