The Wall Street Journal has a column here arguing that the math standards of the common core are valuable, and Republicans should get on board and start supporting the common core curriculum. This is a subscription only article, and you might have to find a back door in to read it. I found one through a google search.
I would argue that having kids acquire advanced literacy skills is at least as important as kids learning math. Read this blog entry by a practicing high school English teacher to get some idea of the problems with the English standards: http://literacyinleafstrewn.blogspot.com/2013/05/the-common-cores-supposed-emphasis-on.html
I don’t know this writer, but everything he said mirrors my own experience teaching English.