Here’s a great logical conversation about the Common Core standards, particularly math, by one of the math authors. It won’t convince opponents…nothing will. But if you’re not married to your opinion and just want to read an engaging discussion of the views that underlie the Common Core, this is a good one.
This is an interview I had on 2/4/2014 with Bill McCallum, who is a University Distinguished Professor of Mathematics and member of the Department of Mathematics at the University of Arizona. Bill also led the Work Team which recently wrote the Mathematics Common Core State Standards, and was graciously willing to let me interview him on that.
Q: Tell me about how the Common Core State Standards Mathematics Work Team got formed and how you got onto it.
A: There were actually two separate documents and two separate processes, and people often get confused between them.
The first part happened in the summer of 2009 and produced a document called “College and Career Readiness Standards“. It didn’t go grade by grade but rather described what a high school student leaving and ready for college and career looks like. The team that wrote that pre-cursor document consisted…
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Advancing New Hampshire Public Education 
Wholeheartedly agree that this was the most cogent analysis I’ve read. His point that the CCSS is separate from the SBAM and the curriculum is an important one.