Palmer also says [P2, p 75, 1998],
"Learning does not happen when students are unable to express their
ideas, emotions, confusions, ignorance, and prejudices. In fact, only
when people can speak their own minds does education have a chance
to happen."
Community. The learning of mathematics requires much more
in the way of social interaction than has been traditionally understood.
The solitaire student sitting in a corner studying mathematics has
been a prototypical image for too long and it has hurt the public
image of learning and studying mathematics. We now give a general
discussion of this topic.
Palmer [P1, p 37, 1983] discusses that the conventional classroom
in pursuing objectivism sees no rationale for community, no need for
a mutual, interactive quest to know and be known. "If we believe that
knowledge arises from the commitments of communities (as some new
epistemologies tell us) we would create classrooms where community
was fostered, not feared."
In [P2, pp 90-94, 1998] Palmer gives lengthy descriptions of different
models of communities: the therapeutic, civil, and marketing. He convincingly
argues that none of these is an appropriate model for a community
of learners. He defines the concept of "community of truth" [P2, pp
95-106] and argues that it is the most appropriate model for teaching
and learning. A salient point is that the subject is the center of
attention, not the teacher nor the students as in the case for less
effective models.
Making the subject the center of attention is precisely what we do
in CalculusQuest, and in particular with the Communication Activities.
These structured activities, the focus of this paper, represent a
teaching technique that reaches to the heart of the model for teaching
discussed above. It uses writing in a subject centered class activity
that fosters creativity in the process of building community.
[P1] Palmer, Parker, Knowing as We are Known, ... , 1983
[P2] ______________,