The thing that made the biggest impact for me, personally, was developing the 'feel' for flush contact at the very edge (apex). I don't really like the concept of 'maintaining constant bevel angle', because it implies that all sharp edges MUST have perfectly flat bevels intersecting at the apex, in order to be sharp. That's an ideal representation, and definitely will produce a sharp edge; but it doesn't reflect how an edge can still be sharp at the apex with at least some convexity behind the apex (and 'convexity' implies an angle which doesn't stay perfectly constant). The trick comes down to feeling when the apex itself is just making flush contact, and not going beyond (above) that angle, which would dull it. If one can feel when the apex just begins to 'bite' into the stone as it becomes thinner, and make immediate adjustments to protect that newly-formed apex, things get a whole lot easier in sharpening, with an almost profound improvement in results.
David