President Obama proposed a 2012 Department of Education budget on Monday that would, if approved, significantly increase federal spending for public schools, and maintain the maximum Pell grant  the cornerstone financial-aid program  at $5,550 per college student.

Whether it will be possible to keep that Pell maximum remains uncertain, however, given that House Republicans have proposed cutting the maximum by about $845, or 15 percent, in their proposal to extend the current budget.

The administration’s education proposal asks for $77.4 billion. That includes $48.8 billion for the portion of the education budget that does not include Pell grants, or an increase of about 4 percent above the 2010 budget. Congress has not yet enacted the 2011 budget.

Among education programs that the administration was protecting was Race to the Top, the competitive grant program that the administration has made its centerpiece initiative. Last year the administration used the Race to the Top to channel $4 billion in economic stimulus money to New York and other states that had proposed bold school improvement plans.