Common Core Mathematics in a PLC at Work: High School

by Zimmermann, Gwendolyn; Carter, John A.; Kanold, Timothy D.; Toncheff, Mona; Dufour, Richard

• ISBN13: 9781936765508
• ISBN10: 1936765500
• Format: Paperback
• Copyright: 2012-05-31
• Publisher: Solution Tree

Summary

Traditional curriculum and teaching practices are antiquated, do not address the educational needs of students, and are inconsistent from district to district, school to school, and classroom to classroom. This inequity has caused many students to miss out on the opportunity to learn vital knowledge. Common Core Mathematics in a PLC at Work¿, High School gives teachers the tools to effectively offer mathematics instruction and address the Common Core State Standards (CCSS) for mathematics challenge: All students successfully learning rigorous standards for college or career preparatory mathematics. Much of the material series editor and author Timothy D. Kanold and authors Gwendolyn Zimmermann, John A. Carter, and Mona Toncheff present in this book, and the Common Core Mathematics series, has been part of the national discussion on mathematics reform and improvement since the National Council of Teachers of Mathematics¿ (NCTM) release of the Curriculum and Evaluation Standards in 1989. This book provides a teacher-focused guide to teaching and learning mathematics in high school. The five chapters focus on the five fundamental areas (collaboration, instruction, content, assessment, and intervention) required to prepare every teacher for successful implementation of CCSS for mathematics.

Table of Contents

About the Series Editor	p. ix
About the Authors	p. xi
Foreword	p. xiii
Introduction	p. 1
Using High-Performing Collaborative Teams for Mathematics	p. 5
The Professional Development Paradigm Shift	p. 6
Teacher Collaboration Versus Cooperation or Coordination	p. 10
Collaborative Practices	p. 13
High-Leverage Professional Development	p. 19
Collaborative Protocols	p. 21
Looking Ahead	p. 23
Chapter 1 Extending My Understanding	p. 24
Implementing the Common Core Standards for Mathematical Practice	p. 27
The Common Core Standards for Mathematical Practice	p. 28
Overarching Habits of Mind	p. 30
Reasoning and Explaining	p. 34
Modeling and Using Tools	p. 38
Seeing Structure and Generalizing	p. 43
Lesson-Design Elements That Reflect the Common Core Mathematical Practices	p. 46
The Mathematical Practices Lesson-Design Tool	p. 57
Student Motivation: A Benefit of the Mathematical Practices	p. 59
Looking Ahead	p. 60
Chapter 2 Extending My Understanding	p. 60
Implementing the Common Core Mathematics Content in Your Curriculum	p. 63
The Mathematics Standards for High School Content	p. 65
The Mathematics Standards for High School Content Analysis	p. 71
The Mathematics Standards for High School Content Implementation	p. 79
Looking Ahead	p. 91
Chapter 3 Extending My Understanding	p. 92
Implementing the Teaching-Assessing-Learning Cycle	p. 95
A Paradigm Shift in High School Mathematics Assessment Practices	p. 95
The PLC Teaching-Assessing-Learning Cycle	p. 98
Summative Moments in the Formative Feedback Paradigm	p. 117
Effective Summative Grading Practices	p. 121
Technology as an Assessment Tool	p. 123
Your Focus on Large-Scale Assessment Data	p. 124
Extending My Understanding	p. 125
Implementing Required Response to Intervention	p. 129
Vision of Equity	p. 130
Sources That Inform Equity in Mathematics	p. 130
Student Learning Needs for Success	p. 133
The PLC Required Response to Learning	p. 137
A Major Paradigm Shift in High School Mathematics Intervention Practices	p. 142
Required Interventions at Work: A Model	p. 144
Your International R2TI for Learning	p. 147
Looking Ahead	p. 150
Chapter 5 Extending My Understanding	p. 151
Epilogue: Your Mathematics Professional Development Model	p. 153
Changes in Mathematics Standards, 1989-2012	p. 155
Standards for Mathematics Practice	p. 161
Connecting the Standards for Mathematical Practice to the Standards for Mathematical Content	p. 164
Standards for Mathematical Content, High School	p. 165
Mathematics High School-Number and Quantity	p. 165
Mathematics High School-Algebra	p. 169
Mathematics High School-Functions	p. 174
Mathematics High School-Modeling	p. 179
Mathematics High School-Geometry	p. 181
Mathematics High School-Statistics and Probability	p. 187
References and Resources	p. 193
Index	p. 201
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