So your admitting your own link is full of crap?Can you read a link?
Compare December to January! Notice the population increased 1,685,000 in a month. That's not reasonable to have such a large population increase in a month and the population data has been adjusted by census data. Now, if you have stats on people employed and unemployed, which column can you put those new found people in? The only column that doesn't have field data supporting it is the Not in labor force column, because the numbers have to add up. That's why 1,177,000 are added to the Not in labor force. The amount of people working actually increased 508,000 in that month. The BLS gets these figures by surveying businesses and even has data on what industry is doing the hiring. The unemployment numbers come from people collecting unemployment and aren't everyone who is unemployment. If you want those stats, you use U6 data and not U3. The BLS publishes both.
When the BLS reports yearly data, it takes an average for that year. In the last months of the Bush administration, the economy was losing three quarters of a million jobs a month. Large monthly job loses continued in the early Obama administration, but the reason for these job loses was damage already done to the economy. Even today, the housing industry hasn't recovered to the point where new homes can be built, because there's an excess of foreclosure homes. With tighter controls on lending, it will take time for that inventory to be exhausted and home builders to become active again.
The unemployment rate isn't the significant thing in a nonfarm payrolls report. The significant thing that economist look for are jobs and who is hiring those people getting jobs.