I read Diane Ravitch (skimming past a majority of the numerous posts) so I can stay aware of what's happening to public schools across the nation. This may be the first time I've seen math discussed in depth on her blog. Gary Rubenstein wrote a great post on Common Core Standards, and how they affect math class. He used the Pythagorean Theorem as his example, describing some of what he'd do with 8th grade students. (My college students would have fun with this, too, and would learn some valuable math from a lesson like this.)
His take on how to assess was refreshing. See if you can explain the group of pictures below after reading the article.
The idea is to shade the bottom two pictures with the blue, yellow, and
brown from the top pictures to show what's the same. I got something
algebraically, but what I did wasn't nearly as elegant as the shading he