Hi there,
I've been flying PA28's for over 3 years now.
In quiet periods, pilot's sometimes become a lot more relaxed on the R/T, as there is less pressure to rush the transmissions.
Also, your instructor would probably recommend you relax your ATC aswell, as it helps to get used to it. If you rush it and be snappy with your transmissions you end up making more mistakes. Take your time with R/T and learn to 'use the gap' efficiently. Ie. after a while you get to perfectly time your transmissions and know exactly what to miss out and what to include.
And of course... patience is a virtue!
Would recommend getting to know your controllers, helps to feel more confident when talking to them over R/T. (also means you find yourself calling for rejoin and a chat about the footy match at the weekend

)!!
Hehe. Enjoy your flying mate, it's a brilliant experience.
RR