I made a screen recording using quicktime, but when I import the video into premier pro cc, the playback is choppy. In on part of the video I have an object that fades in, when this is viewed in quicktime the fade is very gradual and smooth, but in premiere pro it is choppy as if I only get every other frame of the fade.
This is most likely related to glitchiness in the old embedded Quicktime player that was kind of hacked in to 64 bit Premiere. It can sometimes result in the Quicktime engine grinding to a halt and even completely freeze Premiere. This is due to the lack of 64 bit support provided for Quicktime for Windows by Apple. I believe we have another answer that covers it in more detail, but I couldn't find it at the moment.
Either way, the best work around is generally to move the data stream out of the MOV container and move it in to a container that doesn't use the 32 bit Quicktime playback engine if you have problems. (Not every file seems to have problems for some reason.)
Premiere commonly has issues working with .mov files. I suggest converting it to an .mp4 file. You can rename individual files with this extension. Alternatively, you can use this Python script to convert many files: https://github.com/lys0l/movBaker