Anyone who is interested can observe the day to day measurements of sea ice in the Arctic on the National Snow and Ice Data Center's page Arctic Sea Ice News and Analysis.
One week ago (June 4) I posted on this topic at Blue Island Almanack. But things have changed slightly since then. This is today's updated graphic. The gray line at the top is the average extent (1979 to 2000 the period for which we have satellite imaging) of ice for each date, the dotted green line is the actual extent of sea ice on each date in 2007 (the minimum extent recorded so far). The blue line is this year's (2008) current measurements. As you can see, as of yesterday, this year's ice extent has now dropped just below last year (2007). This does not bode well.
Many scientists expect that because a much larger extent of the sea ice is thinner one year ice (because of the previous years minimum extent), that melting will accelerate and drop well below the 2007 minimum.