What does the president have to do with it? Congress is the one who appropriates federal funds last I heard.
For one thing its the Dept. of Education which is providing the incentives to the states who develop and adhere to Common Core.
The Dept. of Education funds Common Core by funneling money from another Obama program called Race to the Top which was started in 2009 with funds from the economic stimulus package.
So yes, the President does have something to do with it, and in the case of Common Core Obama has a lot to do with it.
Why Congress allows this type of crap to continue is another story.