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take some position or orientation, which by no means needs
to be "complete" or "polished," and make clear your
most significant assumptions regarding such elements of the classroom as
learning, teaching, mathematics, social norms, power relations, ...;
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communicate this position by providing a brief article
or excerpts from readings which illuminate your position and assumptions
(or figure out some other way!);
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orchestrate an activity to create a rich, multi-layered
vision of some classroom / learning experience (view a video, experience
a lesson, discuss a classroom artifact,...);
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lead an analysis of the activity, focusing on an critical
(and supportive) examination of the stated position and assumptions.