The report first describes some general studies that should be conducted in relation to CCSSM: (i) case studies that target systemic action taken by states and districts; (ii) relational studies that research the conditions of effectiveness for the implementation of CCSSM; and (iii) experimental studies that investigate the effects of various interventions related to CCSSM. A list of suggested research questions on CCSSM then follows with accompanying discussion.
via www.nctm.org
A recent technical report developed by Horizon Research explores a plausible research agenda for understanding the influence of the Common Core State Standards for Mathematics. The report, "Priority Research Agenda for Understanding the Influence of the Common Core State Standards for Mathematics: Technical Report", takes into consideration a range of input from researchers. What are the reactions of teachers and school/district leaders to the research agenda? You can download the report here http://www.horizon-research.com/reports/2011/CCSSMresearchagenda/technical_report.php

