I've been following the "math wars" for years, and used to be a regular participant in some of the email lists with messages quoted by other participants in these threads. I've read writings about mathematics education by Boaler and by Milgram, and have used those for preparing the mathematics classes I teach locally, and I have had a lot of email correspondence (mostly on email lists) with Wayne Bishop. I'm amazed that the root page of Boaler's faculty website at Stanford is being used for this kind of writing. I'm trying to get to the bottom of the actual facts involved. For that purpose, I'm sharing this same link among my Facebook friends, who include several innovators in mathematics education.

I appreciate the links that droithomme has shared in this thread. Yes, there is a lot of passion about what should be done to improve mathematics education in the United States, and one of the chief issues of contention is how to gauge the effectiveness of new programs. I'm pretty satisfied with the results of the homeschooling materials I chose for my oldest son (who is now a programmer for a startup). Over the years I've learned a lot from some of the same friends I'm asking for responses to this link. I hope we can puzzle out who is really coming forward with better evidence about what effective mathematics teaching is, because the United States could certainly use better mathematics instruction than it now has.