I have found over the years that there is more than one way to skin a cat, what I mean by this is there are lots of different but perfectly acceptable ways of plastering so my advice is listen,watch and learn and to try things out for yourself, do what ever you find most comfortable but also leaves a good job.
I have skimmed over 100's of metres of artex and have found the best method to be:
1: Scrape the high spots off
2: p.v.a the ceiling to help kill suction (Gauge this yourself IE is it painted ?? what paint ?? etc etc)
3: Lay up a nice thick coat of plaster (I use multi)
4: Trowel a few times until nice and firm
5: Lay up another fresh coat of multi
6: Trowel until your happy
If the artex is super heavy then you might need to give it 3 coats but for 99% of jobs 2 heavy coats is plenty.
Hope this helps
Rich Brown