The Standards for Mathematical Practice, according to the CCSS document describe the mathematical “habits of mind” that teachers, at all levels, should develop in their students, and without which the content standards cannot be successfully implemented. Attention to the Mathematical Practices connected with content must be enacted in teaching, which will require professional development. Though the CCSS Mathematical Content Standards differ in detail from other content standards, their form is familiar to teachers: a list of things to know. The Mathematical Practices are not so easily condensed into a lesson or unit, not so easily tested and, generally, not so familiar. Content standards are specified grade by grade and build on each other rather than repeating year after year. The Mathematical Practices are different. Though they can be enacted in an appropriate way at any level, they evolve and mature over years rather than days, along with children's cognitive development and the nature and sophistication of the Mathematical Content. It can be expected that the developers of the CCSS, and the states that collaborated in calling for the development of the CCSS, will work with the developers of assessments to ensure that the Mathematical Practices are taken seriously in testing. Hull, Miles, and Balka are writing this book as PD resource to help school and math leaders grapple with the changes that must be addressed, in order to move their teachers toward implementation of the practices required by the CCSS.

Visiting a Transforming Classroom

Visiting a transforming classroom

This chapter provides readers with an example of a mathematics lesson that is planned, presented, and analyzed. Teacher teams and leadership teams are expected to critique lesson components and provide reflection. To accomplish this, readers step inside Mr. Young's fourth grade mathematics lesson, as well as “see” Mr. Young's thoughts. At the end of each day, Mr. Young briefly reflects on the classroom events in preparation for needed instructional shifts. At the end of five days, Mr. Young reflects on the unit in planning for the next instructional unit.

By using this “visit” as a learning tool for shared conversations, leadership and teacher teams are free to openly discuss Mr. Young. The “visit” provides a neutral source of ...

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