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A central question for which teachers
must be responsible is, "How well are the tasks, discourse, and environment
working to foster the development of students' mathematical literacy and
power?"
Trying to understand as much as
possible about the effects of the mathematics classroom on each student
is essential to good teaching. Teachers must monitor classroom life using
a variety of strategies and focusing on a broad array of dimensions of
mathematical competence, as outlined in the Curriculum and Evaluation
Standards for Schools Mathematics. What do students seem to understand
well, what only partially? What connections do they seem to be making?
What mathematical dispositions do they seem to be developing? How does
the group work together as a learning community making sense of mathematics?
What teachers learn from this should be a primary source of information
for planning and improving instruction in both the short and the long
term.
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