http://www.washingtonpost.com/local/education/todays-math-vocabulary-exposes-generational-divide/2012/05/20/gIQAt6b1dU_story.html
Instead of "exposes generational divide," I wish the article title said something like, "Today's math vocabulary exposes progress in teaching methods." It's a simple thing, really: don't use vocabulary that might carry confusing meanings, such as "reducing" fractions (which don't get smaller, as "reduce" implies). Of course, there are a couple comments claiming that using different math vocabulary must be an attempt to dumb down math and avoid standard algorithms, despite most of the article attending to the vocabulary details that support understanding of the "standard" algorithms.