What’s Missing from Math Standards? Focus, Rigor and Coherence

William H. Schmidt:

Why do some countries, like Singapore, Korea, and the Czech Republic, do so much better than the United States in math? I’ve heard all sorts of reasons; diversity and poverty top the list. But after some 15 years conducting international research, I am convinced that it’s the diversity and poverty of U.S. math standards—not the diversity and poverty of U.S. students—that are to blame.
The single most important result of the Third International Mathematics and Science Study (TIMSS) is that we now know that student performance is directly related to the nature of the curricular expectations. I do not mean the instructional practices. I mean the nature of what it is that children are to learn within schools. (In the U.S., the curricular expectations are usually referred to as standards; in other countries they are known by various names.) After all, what is more central to schooling than those things we, as a society, have chosen to pass on to our children?
The TIMSS research has revealed that there are three aspects of math expectations, or standards, that are really important: focus, rigor, and coherence. Let’s take a brief look at each.