## Approaches to Studying the Enacted Mathematics CurriculumCurriculum materials are among the most pervasive and powerful influences on school mathematics. In many mathematics classes, student assignments, the questions the teacher asks, the ways students are grouped, the forms of assessment, and much more originate in curriculum materials. At the same time, teachers have considerable latitude in how they use their curriculum materials. Two classes making use of the same materials may differ markedly in what mathematics content is emphasized and how students are engaged in learning that content. This volume considers a variety of research tools for investigating the enactment of mathematics curriculum materials, describing the conceptualization, development, and uses of seven sets of tools. Mathematics education researchers, curriculum developers, teacher educators, district supervisors, teacher leaders, and math coaches will find insights that can improve their work, and guidance for selecting, adapting, and using tools for understanding the complex relationship between curriculum materials and their enactment in classroom instruction. |

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### Contents

Instruments Used by the University of Chicago School | 19 |

Using ConcernsBased Adoption Model Theory | 47 |

Developing Measures of Fidelity of Implementation | 67 |

The Development of Multiple Measures of Curriculum | 89 |

Measuring Implementation of Instructional | 117 |

Practices and Curriculum Materials in the Context | 143 |

The Surveys of Enacted Curriculum | 173 |

Issues to Consider in Measuring Enactment | 195 |

About the Editors | 205 |

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adaptations Algebra alignment analysis analyze approach assessment CBAM Chapter Evaluation Form classroom observations codes cognitive demand conceptual Connected Mathematics content taught Core-Plus Council of Teachers criteria Criterion critical components curricu curricular curriculum enactment curriculum implementation curriculum programs deﬁned deﬁnitions described designed Educational Research enacted curriculum enactment of curriculum Everyday Mathematics example Explore extent ﬁdelity of implementation ﬁeld test Figure ﬁndings ﬁrst ﬁve focus grade Grouws homework IC Maps identiﬁed indicators inﬂuence instructional practices interview investigate learning goal lesson log lum materials Maps Math Thematics mathematical storyline mathematics curriculum materials mathematics education matics ment mentation pedagogical storyline problems professional development Questionnaire ratings reﬂect reliability riculum School Mathematics Project Science scores Senk set of curriculum speciﬁc standards student achievement student learning Studying the Enacted subject-speciﬁc teachers Teachers of Mathematics teaching textbook tion topics UCSMP Geometry understanding validity variables videotapes Zalman Usiskin