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accuracy. Educating Teachers of Science, Mathematics, and
Technology: New Practices for the New Millenium Providing and
structuring the time necessary to explore sound mathematics and
grapple with significant ideas and problems; Using the physical
space and materials in ways that facilitate students’ learning
of mathematics; Providing a context that encourages the
development of mathematical dispositions; And by consistently
expecting and encouraging students to— Work independently or
collaboratively to make sense of mathematics; Take intellectual
risks by raising questions and formulating conjectures; Display
a sense of mathematical competence by validating and supporting
ideas with mathematical argument. Standard 6. Analysis of
Teaching and Learning The teacher of mathematics should engage
in ongoing analysis of teaching and learni