How Can The Temperature Be Both Hot And Cold At The Same Time?

I am upstate New York visiting my folks and the temperature rose quite rapidly the past couple of days. Spike reported that last week when he was visiting his mom in the Bronx, it was very cold, below zero, but it reached around 25 (75 F) here today. Since there is still several inches of snow on the ground, the air feel very odd. It is obviously warm but also with a feeling of cool, I suppose as little puffs of snow cooled air are floating around, one's skin feels the warm with the interspersed buffeting by invisible balloons of cool. I have never really felt anything like it and unfortunately, my obtuse prose attempting to describe it isn't effective in communicating the feeling.