Authentic Inquiry in the Mathematics Classroom
Many of the science teachers and scientists probably are unclear how inquiry learning can be implemented in a mathematics classroom.
Culling through Google, though time consuming, can often find gems.
A web site of a math teacher's professional development program out of University of Rochester, in upstate New York, does a nice job of describe the characteristics and implementation of inquiry in the math classroom.
In particular, there are a number of examples that are well described, including activities on tesellation and the calculation of area.
Here is an excellent paper on-line from the Math Forum at Drexel.
Encouraging Mathematical Thinking, Discourse around a Rich Problem
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