Table of Contents
About the Series Editor ix
About the Authors xi
Foreword xv
Introduction 1
Chapter 1 Using High-Performing Collaborative Teams for Mathematics 5
Effective Mathematics Professional Development 6
Professional Development Paradigm Shift 7
Adequate Time for Collaborative Teams 7
Grade-Level Collaborative Mathematics Teams 10
Change in Instructional Emphasis 13
Response to Intervention 20
The Future of Mathematics in Your School 23
Chapter 1 Extending My Understanding 23
Chapter 2 Implementing the Common Core Standards for Mathematical Practice 25
The CCSS Mathematical Practices 26
Mathematical Practice 1 Make Sense of Problems and Persevere in Solving Them 26
Mathematical Practice 2 Reason Abstractly and Quantitatively 32
Mathematical Practice 3 Construct Viable Arguments and Critique the Reasoning of Others 37
Mathematical Practice 4 Model With Mathematics 41
Mathematical Practice 5 Use Appropriate Tools Strategically 45
Mathematical Practice 6 Attend to Precision 48
Mathematical Practice 7 Look For and Make Use of Structure 51
Mathematical Practice 8 Look For and Express Regularity in Repeated Reasoning 55
Mathematical Practices Implementation 57
Chapter 2 Extending My Understanding 60
Chapter 3 Implementing the Common Core Mathematics Content in Your Curriculum 63
Collaborative Content Analysis 64
Grade 3 What's the Mathematics? 66
Grade 4 What's the Mathematics? 78
Grade 5 What's the Mathematics? 92
Mathematics Content: A Different Look at Emphasis 105
Content Analysis by Domain 106
Content Considerations 109
Chapter 3 Extending My Understanding 110
Chapter 4 Implementing the Teaching-Assessing-Learning Cycle 113
A Major Shift in the Function of Grades 3-5 Mathematics Assessment 113
The PLC Teaching-Assessing-Learning Cycle 115
Standards-Based Report Cards 130
The CCSS Consortia Assessments 132
Chapter 4 Extending My Understanding 134
Chapter 5 Implementing Required Response to Intervention 137
Holding High Expectations for All Students 139
Using Required RTI in Mathematics 141
Monitoring Grades 3-5 Student Assessment Performance to Identify Student Needs 142
Planning Your RTI System of Support 146
Developing Student Disposition and Motivation in Grades 3-5 RTI 154
Serving All Students Well 155
Chapter 5 Extending My Understanding 155
Epilogue: Your Mathematics Professional Development Model 157
Appendix A Standards for Mathematical Practice 159
Connecting the Standards for Mathematical Practice to the Standards for Mathematical Content 162
Appendix B Standards for Mathematical Content, Grade 3 163
Grade 3 Overview 164
Appendix C Standards for Mathematical Content, Grade 4 169
Grade 4 Overview 170
Appendix D Standards for Mathematical Content, Grade 5 175
Grade 5 Overview 176
Appendix E Changes in Mathematics Standards, 1989-2010 183
References and Resources 187
Index 199
