Hi Sarah,
The dots values are the number of dots that could be presented on screen without dropping a visual frame. Higher is better: more processing can be done within the 16.67ms time it takes to do one visual frame.
It sounds odd that they differ. The only thing I can think of is that maybe the video card drivers differ. Be sure to download them from the manufacturer, not from Microsoft. Do not rely on Windows to tell you if the drivers are ok. Instead go to the manufacturer's website, and they can run a test and provide downloads (always free in my experience).
So does this difference actually matter? If you are using visually demanding stimuli (ones that are more complex), and its important that there is no visual jitter it probably does matter, or could. (If your computer can't keep up with what you are asking it to do, the visual frame will not switch and the same one will be visible for 33ms, which is called "dropping a frame". In dynamic displays, this looks not so smooth, and matters a lot in vision experiments.)
So I would be sure the drivers are the same, and then try things out on the computer with lower dots_circle -- if things look fine there, they should also be fine on the other computer.