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 36
Mathematical Practice 4: Model With Mathematics 40
Mathematical Practice 5: Use Appropriate Tools Strategically 44
Mathematical Practice 6: Attend to Precision 47
Mathematical Practice 7: Look For and Make Use of Structure 51
Mathematical Practice 8: Look For and Express Regularity in Repeated Reasoning 54
Mathematical Practices Implementation 57
Chapter 2 Extending My Understanding 59
Chapter 3 Implementing the Common Core Mathematics Content in Your Curriculum 63
Collaborative Content Analysis 64
Kindergarten: What's the Mathematics? 67
Grade 1: What's the Mathematics? 77
Grade 2: What's the Mathematics? 88
Mathematics Content: A Different Look at Emphasis 99
Content Analysis by Domain 100
Content Considerations 103
Chapter 3 Extending My Understanding 104
Chapter 4 Implementing the Teaching-Assessing-Learning Cycle 107
A Major Shift in the Function of Grades K-2 Mathematics Assessment 107
The PLC Teaching-Assessing-Learning Cycle 109
Standards-Based Report Cards 123
The CCSS Consortia Assessments 125
Chapter 4 Extending My Understanding 127
Chapter 5 Implementing Required Response to Intervention 129
Holding High Expectations for All Students 131
Using Required RTI in Mathematics 133
Monitoring Grades K-2 Student Assessment Performance to Identify Student Needs 135
Planning Your RTI System of Support 133
Developing Student Disposition and Motivation in Grades K-2 RTI 146
Serving All Students Well 148
Chapter 5 Extending My Understanding 148
Epilogue: Your Mathematics Professional Development Model 151
Appendix A Sample Standards for Mathematical Content, Pre Kindergarten 153
Appendix B Standards for Mathematical Practice 157
Connecting the Standards for Mathematical Practice to the Standards for Mathematical Content 160
Appendix C Standards for Mathematical Content, Kindergarten 161
Grade K Overview 161
Appendix D Standards for Mathematical Content, Grade 1 165
Grade 1 Overview 166
Appendix E Standards for Mathematical Content, Grade 2 171
Grade 2 Overview 171
Appendix F Changes in Mathematics Standards, 1989-2010 175
References and Resources 181
Index 191
