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E-raamat: Your Mathematics Standards Companion, Grades K-2: What They Mean and How to Teach Them

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(Mary Baldwin College, VA), (Mathematics Consultant, NCTM Past-President)
  • Formaat: PDF+DRM
  • Sari: Corwin Mathematics Series
  • Ilmumisaeg: 17-May-2017
  • Kirjastus: Corwin Press Inc
  • Keel: eng
  • ISBN-13: 9781544302348
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Your Mathematics Standards Companion, Grades K-2: What They Mean and How to Teach ThemSuurem pilt
  • Formaat: PDF+DRM
  • Sari: Corwin Mathematics Series
  • Ilmumisaeg: 17-May-2017
  • Kirjastus: Corwin Press Inc
  • Keel: eng
  • ISBN-13: 9781544302348
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Transforming the standards into learning outcomes just got a lot easier

In this expansion of the original popular Common Core Mathematics Companions, you can see in an instant how teaching to your state standards should look and sound in the classroom. Under the premise that math is math, the authors provide a Cross-Referencing Index for states implementing their own specific mathematics standards, showing which of your standards are the same as CCSS-M, which differ and how—and which page number to turn to for standards-based teaching ideas.

It’s all here, page by page:

  • The mathematics embedded in each standard for a deeper understanding of the content
  • Examples of what effective teaching and learning look like in the classroom  
  • Connected standards within each domain so teachers can better appreciate how they relate
  • Priorities within clusters so teachers know where to focus their time
  • The three components of rigor: conceptual understanding, procedural skills, and applications
  • Vocabulary and suggested materials for each grade-level band with explicit connections to the standards
  • Common student misconceptions around key mathematical ideas with ways to address them
  • Sample lesson plans and lesson planning templates
  • Cross-referenced index listing the standards in the following states, explaining what is unique to the standards of each state

Your Mathematics Standards Companion is your one-stop guide for teaching, planning, assessing, collaborating, and designing powerful mathematics curriculum.

 
Indexes Cross-Referencing Your State Standards 1(1)
Quick Reference Guide xvii
Acknowledgments xxi
Letter to Grades K--2 Teachers xxiii
Letter to Elementary School Principals xxv
Introduction xxvii
A Brief History of Current State Standards xxvii
College and Career Ready Standards for Mathematics xxvii
Instructional Shifts xxviii
Terminology Used in This Book xxviii
Effective Teaching Practices xxxi
How to Use This Book xxxii
Reflection Questions xxxiii
Part 1 Counting and Cardinality
Domain Overview
2(1)
Suggested Materials for This Domain
3(1)
Key Vocabulary
3(1)
Kindergarten
Cluster A Know number names and the count sequence
4(4)
Cluster B Count to tell the number of objects
8(3)
Cluster C Compare numbers
11(4)
Sample Planning Page: Counting and Cardinality, Kindergarten, Cluster B
15(1)
Planning Pages
16(1)
Reflection Questions: Counting and Cardinality
19(3)
Part 2 Operations and Algebraic Thinking
Domain Overview
22(1)
Suggested Materials for This Domain
23(1)
Key Vocabulary
23(2)
Kindergarten
Cluster A Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from
25(6)
Sample Planning Page: Operations and Algebraic Thinking, Kindergarten, Cluster A
31(2)
Planning Page
33(1)
Grade 1
Cluster A Represent and solve problems involving addition and subtraction
34(5)
Cluster B Understand and apply properties of operations and the relationship between addition and subtraction
39(5)
Cluster C Add and subtract within 20
44(4)
Cluster D Work with addition and subtraction equations
48(3)
Sample Planning Page: Operations and Algebraic Thinking, Grade 1, Cluster C
51(2)
Planning Pages
53(4)
Grade 2
Cluster A Represent and solve problems involving addition and subtraction
57(1)
Cluster B Add and subtract within 20
57(7)
Cluster C Work with equal groups of objects to gain foundations for multiplication
64(3)
Sample Planning Page: Operations and Algebraic Thinking, Grade 2, Cluster A
67(2)
Planning Pages
69(5)
Reflection Questions: Operations and Algebraic Thinking
72(2)
Part 3 Number and Operations in Base Ten
Domain Overview
74(1)
Suggested Materials for This Domain
75(1)
Key Vocabulary
75(2)
Kindergarten
Cluster A Work with numbers 11--19 to gain foundation for place value
77(3)
Sample Planning Page: Number and Operations in Base Ten, Kindergarten, Cluster A
80(1)
Planning Page
81(1)
Grade 1
Cluster A Extend the counting sequence
82(2)
Cluster B Understand place value
84(5)
Cluster C Use place value understanding and properties of operations to add and subtract
89(5)
Sample Planning Page: Number and Operations in Base Ten, Grade 1, Cluster C
94(1)
Planning Pages
95(3)
Grade 2
Cluster A Understand place value
98(7)
Cluster B Use place value understanding and properties of operations to add and subtract
105(9)
Sample Planning Page: Number and Operations in Base Ten, Grade 2, Cluster B
114(2)
Planning Pages
116(4)
Reflection Questions: Number and Operations in Base Ten
118(2)
Part 4 Measurement and Data
Domain Overview
120(1)
Suggested Materials for This Domain
121(1)
Key Vocabulary
121(2)
Kindergarten
Cluster A Describe and compare measurable attributes
123(3)
Cluster B Classify objects and count the number of objects in each category
126(2)
Sample Planning Page: Measurement and Data, Kindergarten, Cluster A
128(1)
Planning Pages
129(2)
Grade 1
Cluster A Measure lengths indirectly and by iterating length units
131(3)
Cluster B Tell and write time
134(3)
Cluster C Represent and interpret data
137(3)
Sample Planning Page: Measurement and Data, Grade 1, Cluster C
139(1)
Planning Pages
140(3)
Grade 2
Cluster A Measure and estimate lengths in standard units
143(4)
Cluster B Relate addition and subtraction to length
147(3)
Cluster C Work with time and money
150(3)
Cluster D Represent and interpret data
153(3)
Sample Planning Page: Measurement and Data, Grade 2, Cluster D
156(1)
Planning Pages
157(7)
Reflection Questions: Measurement and Data
161(3)
Part 5 Geometry
Domain Overview
164(1)
Suggested Materials for This Domain
165(1)
Key Vocabulary
165(2)
Kindergarten
Cluster A Identify and describe shapes
167(4)
Cluster B Analyze, compare, create, and compose shapes
171(4)
Sample Planning Page: Geometry, Kindergarten, Cluster A
175(2)
Planning Pages
177(2)
Grade 1
Cluster A Reason with shapes and their attributes
179(4)
Sample Planning Page: Geometry, Grade 1, Cluster A
183(1)
Planning Page
184(1)
Grade 2
Cluster A Reason with shapes and their attributes
185(4)
Sample Planning Page: Geometry, Grade 2, Cluster A
189(2)
Planning Page
191(3)
Reflection Questions: Geometry
192(2)
Resources
Table 1 Addition and Subtraction Situations
194(3)
Table 2 Addition and Subtraction Fact Strategies
197(2)
Table 3 Scaffolding Addition and Subtraction
199(2)
Table 4 Sample Addition and Subtraction Strategies
201(2)
Table 5 Standards for Mathematical Practice
203(3)
Table 6 Effective Teaching Practices
206(4)
Reproducibles
Reproducible 1 Five Frame
210(1)
Reproducible 2 Ten Frame
211(1)
Reproducible 3 Double Ten Frame
212(1)
Reproducible 4 Hundreds Chart
213(1)
Reproducible 5 Dot Cards
214(1)
Reproducible 6 Numeral Cards
215(1)
Reproducible 7 Number Line to 20
216(1)
Reproducible 8 Open Number Line
217(1)
Reproducible 9 Part-Part-Whole Chart
218(1)
Reproducible 10 Place Value Chart (Tens/Ones)
219(1)
Reproducible 11 Place Value Chart (Hundreds/Tens/Ones)
220(1)
Reproducible 12 Comparison Cards
221(1)
Additional Resources 222(1)
About the Authors 223
Winner of the Presidential Award for Excellence in Science and Mathematics Teaching, Linda M. Gojak directed the Center for Mathematics and Science Education, Teaching, and Technology (CMSETT) at John Carroll University for 16 years. She has spent 28 years teaching elementary and middle school mathematics, and has served as the president of the National Council of Teachers of Mathematics (NCTM), the National Council of Supervisors of Mathematics (NCSM), and the Ohio Council of Teachers of Mathematics. Ruth Harbin Miles coaches rural, suburban, and inner-city school mathematics teachers.  Her professional experiences include coordinating the K-12 Mathematics Teaching and Learning Program for the Olathe, Kansas, Public Schools for more than 25 years; teaching mathematics methods courses at Virginias Mary Baldwin College; and serving on the Board of Directors for the National Council of Teachers of Mathematics, the National Council of Supervisors of Mathematic, and both the Virginia Council of Teachers of Mathematics and the Kansas Association of Teachers of Mathematics.  Ruth is a co-author of five Corwin books including A Guide to Mathematics Coaching, A Guide to Mathematics Leadership, Visible Thinking in the K-8 Mathematics Classroom, The Common Core Mathematics Standards, and Realizing Rigor in the Mathematics Classroom.  As co-owner of Happy Mountain Learning, Ruth specializes in developing teachers content knowledge and strategies for engaging students to achieve high standards in mathematics.
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