I am in a class in which the teacher is, shall we say, an adherent of the National Council of Teachers of Mathematics (NCTM) and its standards. In fact, the NCTM standards and our understanding of same make up a portion of the syllabus. Our first assignment is a comparison of those standards with the math standards for the state in which we reside for a particular “content standard”, grade level, and “process standard. The content standard describes what students are supposed to learn. The process standard describes how they are supposed to learn it. I got assigned Geometry/11th grade/representation. “What is ‘representation’?” I hear you asking. Expressing things in different ways, I think. You can use a graph to express a function, or a table of values, or a formula, for example. Which one is best to analyze the problem at hand, I think is what they’re getting at but they go on and on in the standards, bringing in all sorts of ways to show things which might be good things to mention as an aside, but to devote so much class time to it supplants the basics that they are supposed to be learning. (And which educationists think is mundane, and mind numbing.)
Joanne has more. John Dewey background.