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The sixth standard in the Professional Standards for Teaching Mathematics (NCTM 1991) focuses on analyzing and interconnecting teaching and learning. The standard calls for the analysis of teaching and learning to be ongoing by "[o]bserving, listening to, and gathering other information about students to assess what they are learning." Teachers examine the "[e]ffects of the tasks, discourse, and learning environment on students' mathematical knowledge, skills, and dispositions."
The purposes of this analysis are several (p. 63):
* ensure that every student is learning sound and significant mathematics and is developing a positive disposition toward ...