I currently had my floors refinished in mid April. about 3 weeks after I have been having hundreds of poly beads pop up each week. how long can I expect this to go on for, I'm getting tired of crawling around with a plastic scraper and mineral spirits. Is there anything I can do to speed up or stop this issue. I'm also assuming the floors will have to be rescreened and a new top coat put on because some of the beads I don't get to before my 2 year old walks on them any thoughts on this

Sounds like you could have a leaching problem from the underside of the new finish. Maybe the finish guys can describe it better. The cracks should have been filled to encapsulate what created a finish bonding problem. Old cleaners and such have come into contact with the new finish.

Screening and re-coating will not help

Or maybe the new finish didn't cure properly. IE: the finish seeped into the cracks where it takes longer to cure. With seasonal changes and higher humidity boards close up or swell. The finish beads up.

Screen and re-coat can help, but no guarantee. Every job will be different.