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Common Core Mathematics in a PLC at Work: Grades 3 - 5

ISBN: 9781936764006 | 1936764008
Format: Paperback
Publisher: Solution Tree
Pub. Date: 4/12/2012

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SummaryTable of Contents
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¿, Grades 3¿5 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 Timothy D. Kanold and authors Matthew R. Larson, Francis (Skip) Fennell, Thomasenia Lott Adams, Juli K. Dixon, Beth McCord Kobett, and Jonathan A. Wray 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 grades 3¿5. 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. Chapter 1 discusses the necessity to shift to collaborative teams within a PLC to successfully implement the CCSS for mathematics. Chapter 2 focuses on the CCSS Mathematical Practices, the high-cognitive-demand tasks necessary for procedural fluency and student understanding of the CCSS. Chapter 3 describes the CCSS content¿the standards, content standard clusters, and domains¿and the shift to less (fewer standards) and more (deeper rigor with understanding). Chapter 4 introduces the teaching-assessing-learning cycle and describes formative assessment practices and summative assessment instruments. Chapter 5 illustrates the required response to intervention model¿a process that requires students to participate in differentiated instruction or intervention. Each chapter¿s Extending My Understanding section has resources and tools 3¿5 teachers can use in collaborative teams to understand and reflect on chapter recommendations. Although the target audience is 3¿5 teachers and teacher leaders, who are subject to the Common Core State Standards, every 3¿5 educator can learn valuable information to optimize mathematics teaching and learning.
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About the Series Editorp. ix
About the Authorsp. xi
Forewordp. xv
Introductionp. 1
Using High-Performing Collaborative Teams for Mathematicsp. 5
Effective Mathematics Professional Developmentp. 6
Professional Development Paradigm Shiftp. 7
Adequate Time for Collaborative Teamsp. 7
Grade-Level Collaborative Mathematics Teamsp. 10
Change in Instructional Emphasisp. 13
Response to Interventionp. 20
The Future of Mathematics in Your Schoolp. 23
Extending My Understandingp. 23
Implementing the Common Core Standards for Mathematical Practicep. 25
The CCSS Mathematical Practicesp. 26
Make Sense of Problems and Persevere in Solving Themp. 26
Reason Abstractly and Quantitativelyp. 32
Construct Viable Arguments and Critique the Reasoning of Othersp. 37
Model With Mathematicsp. 41
Use Appropriate Tools Strategicallyp. 45
Attend to Precisionp. 48
Look For and Make Use of Structurep. 51
Look For and Express Regularity in Repeated Reasoningp. 55
Mathematical Practices Implementationp. 57
Extending My Understandingp. 60
Implementing the Common Core Mathematics Content in Your Curriculump. 63
Collaborative Content Analysisp. 64
What's the Mathematics?p. 66
What's the Mathematics?p. 78
What's the Mathematics?p. 92
Mathematics Content: A Different Look at Emphasisp. 105
Content Analysis by Domainp. 106
Content Considerationsp. 109
Extending My Understandingp. 110
Implementing the Teaching-Assessing-Learning Cyclep. 113
A Major Shift in the Function of Grades 3-5 Mathematics Assessmentp. 113
The PLC Teaching-Assessing-Learning Cyclep. 115
Standards-Based Report Cardsp. 130
The CCSS Consortia Assessmentsp. 132
Extending My Understandingp. 134
Implementing Required Response to Interventionp. 137
Holding High Expectations for All Studentsp. 139
Using Required RTI in Mathematicsp. 141
Monitoring Grades 3-5 Student Assessment Performance to Identify Student Needsp. 142
Planning Your RTI System of Supportp. 146
Developing Student Disposition and Motivation in Grades 3-5 RTIp. 154
Serving All Students Wellp. 155
Extending My Understandingp. 155
Epilogue: Your Mathematics Professional Development Modelp. 157
Standards for Mathematical Practicep. 159
Connecting the Standards for Mathematical Practice to the Standards for Mathematical Contentp. 162
Standards for Mathematical Content, Grade 3p. 163
Grade 3 Overviewp. 164
Standards for Mathematical Content, Grade 4p. 169
Grade 4 Overviewp. 170
Standards for Mathematical Content, Grade 5p. 175
Grade 5 Overviewp. 176
Changes in Mathematics Standards, 1989-2010p. 183
References and Resourcesp. 187
Indexp. 199
Table of Contents provided by Ingram. All Rights Reserved.


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