Deep Math

After reading Dana's blog, I was interested in finding information related to deep math understanding. Research out of Vanderbilt

New research out of Vanderbilt University claims teaching the basic concepts at work in a math problem is more useful than teaching the procedures for solving a math problem. The study complements a growing body of research that supports teaching math concepts along with problem solving.http://www.vanderbilt.edu/cft/resources/teaching_resources/technology/crs.htm

The key phrase here is "more useful"—no one seems to argue teaching concepts along with problem-solving procedures. But will the "more useful" mean instruction could swing wildly toward concept teaching exclusively? Or is that just the paranoid rambling of someone far behind on her RSS reading?