Both public appearances illustrate the assuredness and moxie the president has exhibited in his quest for another term. They also highlight a stark contrast with Mitt Romney, who has appeared unconfident and downright clunky in recent weeks, as he has dealt with a series of missteps having to do with his wealth and income tax filings.

Observers say it’s probably no coincidence a seemingly self-satisfied (and singing!) Obama has emerged in recent weeks, given a string of political victories and signs the economy is improving.

“Their internal polling is probably showing that things have steadied a bit and is giving him a bit of a boost,” said Tobe Berkovitz, a professor at Boston University who specializes in political communications…

“There are three legs to the stool — personality, leadership and the economy — and right now he has a leg up on two out of three,” Yang said. “The president should be feeling pretty good.”