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"This research reports on prospective middle school teachers' perceptions of a "best mathematics class" during their involvement in an inquiry-designed mathematics content course. Grounded in the prestigious Glenn Commission report (U.S. Department of Education, 2000), the study examined the prospective teachers ' perceptions of effective mathematics instruction both prior to and after completing the inquiry course. "

How Humans Learn to Think Mathematically

He is one of the best I've found on teaching mathematical thinking. He's also generous to the extreme about sharing his material.

higher mathematics

Math Tools is a project of The Math Forum @ Drexel, funded in part by the National Science Foundation. The goal is to create a community digital library that supports the use and development of software for mathematics education. We began work in September of 2002 and through the help of many people there is already an active and rich resource center.\n\nYou are the key. The point is to enable users to help each other use technology effectively in the math classroom. By sharing our experiences, activities, comments, and needs, we can help each other find tools that are known to work well and learn how to use them and improve them. Teachers, students, researchers, publishers, and software developers are all working together in Math Tools

wonderful resource for improving teaching in math; they also give free online courses

link between language and math -- by a guy at houghton mifflin

a beautiful piece on transformations and translations

PPT

What constitutes "big ideas" in math? Ideas that will last a lifetime. "Math maturity food for thought. Think about the assertion "that for any pair of numbers, either they are the same or one is larger than the other." How do you know this? Is it a "fact" that your teacher told you, you memorized, and you now accept without question of doubt? Can you explain to yourself why this is a "true fact?" Can you give arguments that would convince someone else?"

some barriers and an approach to change in Australia

"Lessons that enable students to consciously think about the connection between what they learned before and what they are learning now"