After reading the last line to this article I said to myself, "We are all after the same thing, we're just getting there in different ways and that's okay." If all teaching is conceptual and skills are not combined with the concepts, then things can get a little tricky in math. Reread the part of the article about your doctor having the right IDEA for removing your appendix, but never really going through the steps of actually removing one; the concepts before procedure method. That's something to really think about.

There is no one correct method of pedagogy. They all eventually get the students where they need to be, but I do believe that the understanding and the "why" to mathematics is very important. Teachers need to make the time for those light bulbs to go off in a child's mind; for the connections to be made. But there's nothing wrong with the basic skills and procedures in math. A combination of the concept and problem based methods is the best.