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Words Their Way: Vocabulary for Elementary Mathematics [Minkštas viršelis]

  • Formatas: Paperback / softback, 192 pages, aukštis x plotis x storis: 275x214x10 mm, weight: 380 g
  • Serija: Words Their Way Series
  • Išleidimo metai: 28-Dec-2017
  • Leidėjas: Pearson
  • ISBN-10: 0133376079
  • ISBN-13: 9780133376074
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 192 pages, aukštis x plotis x storis: 275x214x10 mm, weight: 380 g
  • Serija: Words Their Way Series
  • Išleidimo metai: 28-Dec-2017
  • Leidėjas: Pearson
  • ISBN-10: 0133376079
  • ISBN-13: 9780133376074
Kitos knygos pagal šią temą:

This practical guide gives mathematics teachers vocabulary-rich activities and strategies that target the important content objectives they already teach, and reflect the expectations of their state or the Common Core standards. The book’s 12 hands-on teaching units address three areas of study covered in a typical mathematics class or textbook–geometry, measurement, and numbers and operations–and cover such topics as lines, angles, and polygons; properties of quadrilaterals; measurement area, perimeter, and volume and fractions. Each unit provides specific directions, language, reproducible materials, supporting activities, and assessments to help teachers effectively and efficiently target the different types of vocabulary needed for academic success–domain-specific and general academic vocabulary and language–all centered on the content that teachers already teach. Aimed at fourth and fifth grade teachers, but also useful to others who teach units on geometry, measurement, or fractions, Words Their Way: Vocabulary for Elementary Mathematics does not seek to replace the classroom mathematics text, but instead serves to explicitly support the learning of academic vocabulary so that students will do better when they work in their basal or other materials.

Preface xv
Acknowledgments and Dedication xvii
Introduction
Part 1 The Crucial Role of Vocabulary Knowledge in Mathematics
xix
Three Essential Types of Vocabulary Knowledge
xx
Principles of Vocabulary Instruction
xxii
Vocabulary Support for Multilingual Learners
xxiii
Part 2 Mathematics Units: Organization and Core Activities and Strategies
xxv
Domain-Specific Vocabulary
xxvi
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
xxvi
1 Math in My World
xxvi
2 Anticipation Guides
xxvii
3 Telling Math Stories
xviii
4 Concept Maps
xxix
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
xxx
1 Seeing the Big Picture in Mathematics Graphic Organizer
xxxii
2 Concept Sorts
xxxiii
Step 3 Connecting Vocabulary to Context
xxxiv
1 Text Frames
xxxiv
2 Sentence Combining
xxxv
3 Working with Graphic Displays
xxxv
Step 4 Assessing Content Vocabulary
xxxvi
1 Basic Assessments
xxxvi
2 Extended Assessments
xxxvii
3 Vocabulary Self-Assessment
xxxvii
Generative Vocabulary
xxxviii
1 Analyzing Words
xxxviii
2 Generating Words
xxxviii
Moving on to the Mathematics Units
xl
Elementary Mathematics Units
Unit
1. Naming Triangles Part 1
1(12)
Vocabulary Overview for the Unit
2(1)
Spanish Cognate Connections
2(1)
Domain-Specific Vocabulary
3(2)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
3(1)
Anticipation Guide
3(1)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
3(1)
Name the Pattern
3(1)
Signal the Pattern
3(1)
Verbalize the Pattern
4(1)
Visualize the Pattern
4(1)
Step 3 Connecting Vocabulary to Context
4(1)
Working with Graphic Displays
4(1)
Step 4 Assessing Content Vocabulary
5(1)
Generative Vocabulary
5(8)
Analyzing Words
5(2)
Part 1
5(1)
Part 2
6(1)
Generating Words
7(6)
Unit
2. Naming Triangles Part 2
13(10)
Vocabulary Overview for the Unit
14(1)
Spanish Cognate Connections
14(1)
Domain-Specific Vocabulary
15(2)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
15(1)
Math in My World
15(1)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
16(1)
Name the Pattern
16(1)
Signal the Pattern
16(1)
Verbalize the Pattern
16(1)
Visualize the Pattern
16(1)
Step 3 Connecting Vocabulary to Context
16(1)
Text Frames
16(1)
Step 4 Assessing Content Vocabulary
17(1)
Generative Vocabulary
17(6)
Analyzing Words
17(1)
Generating Words
18(5)
Unit
3. Properties of Quadrilaterals
23(12)
Vocabulary Overview for the Unit
24(1)
Spanish Cognate Connections
24(1)
Domain-Specific Vocabulary
25(3)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
25(1)
Mathematics Hunt
25(1)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
26(1)
Name the Pattern
26(1)
Signal the Pattern
26(1)
Verbalize the Pattern
26(1)
Visualize the Pattern
26(1)
Step 3 Connecting Vocabulary to Context
27(1)
Working with Graphic Displays
27(1)
Step 4 Assessing Content Vocabulary
28(1)
Generative Vocabulary
28(7)
Analyzing Words
28(1)
Generating Words
29(6)
Unit
4. Rectangles, Rhombi, or Squares
35(13)
Vocabulary Overview for the Unit
36(1)
Spanish Cognate Connections
36(1)
Domain-Specific Vocabulary
37(4)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
37(1)
Anticipation Guide
37(1)
Dot Paper Sketches
37(1)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
37(1)
Name the Pattern
37(1)
Signal the Pattern
37(1)
Verbalize the Pattern
38(1)
Visualize the Pattern
38(1)
Step 3 Connecting Vocabulary to Context
38(1)
Working with Graphic Displays
38(1)
Step 4 Assessing Content Vocabulary
39(2)
Generative Vocabulary
41(7)
Analyzing Words
41(1)
Part 1
41(1)
Part 2
41(1)
Generating Words
41(7)
Unit
5. Contexts for Area and Perimeter
48(12)
Vocabulary Overview for the Unit
49(1)
Spanish Cognate Connections
49(1)
Domain-Specific Vocabulary
50(3)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
50(1)
Telling Math Stories
50(1)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
51(1)
Name the Pattern
51(1)
Signal the Pattern
51(1)
Verbalize the Pattern
51(1)
Visualize the Pattern
52(1)
Step 3 Connecting Vocabulary to Context
52(1)
Working with Graphic Displays
52(1)
Step 4 Assessing Content Vocabulary
53(1)
Generative Vocabulary
53(7)
Analyzing Words
53(1)
Generating Words
54(6)
Unit
6. Comparing Areas and Perimeters of Rectangles
60(9)
Vocabulary Overview for the Unit
61(1)
Spanish Cognate Connections
61(1)
Domain-Specific Vocabulary
62(3)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
62(1)
Math in My World
62(1)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
62(1)
Name the Pattern
62(1)
Signal the Pattern
63(1)
Verbalize the Pattern
63(1)
Visualize the Pattern
63(1)
Step 3 Connecting Vocabulary to Context
63(1)
Working with Graphic Displays
63(1)
Step 4 Assessing Content Vocabulary
64(1)
Extended Assessment
64(1)
Generative Vocabulary
65(4)
Analyzing Words
65(1)
Generating Words
65(4)
Unit
7. Finding the Volume of Rectangular Prisms
69(12)
Vocabulary Overview for the Unit
70(1)
Spanish Cognate Connections
70(1)
Domain-Specific Vocabulary
71(3)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
71(1)
Telling Math Stories
71(1)
Building Model Basements
71(1)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
72(1)
Name the Pattern
72(1)
Signal the Pattern
72(1)
Verbalize the Pattern
72(1)
Visualize the Pattern
73(1)
Step 3 Connecting Vocabulary to Context
73(1)
Working with Graphic Displays
73(1)
Step 4 Assessing Content Vocabulary
74(1)
Basic Assessment
74(1)
Generative Vocabulary
74(7)
Analyzing Words
74(1)
Generating Words
75(8)
Part 1
75(1)
Part 2
75(6)
Unit
8. Problems Involving Volume
81(12)
Vocabulary Overview for the Unit
82(1)
Spanish Cognate Connections
82(1)
Domain-Specific Vocabulary
83(3)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
83(1)
Vocabulary Map
83(1)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
83(1)
Name the Pattern
83(1)
Signal the Pattern
84(1)
Verbalize the Pattern
84(1)
Visualize the Pattern
84(1)
Step 3 Connecting Vocabulary to Context
84(2)
Working with Graphic Displays
84(2)
Step 4 Assessing Content Vocabulary
86(1)
Extended Assessment
86(1)
Generative Vocabulary
86(7)
Analyzing Words
86(1)
Generating Words
87(6)
Unit
9. Fractions
93(9)
Vocabulary Overview for the Unit
94(1)
Spanish Cognate Connections
94(1)
Domain-Specific Vocabulary
95(3)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
95(1)
Math in My World
95(1)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
96(1)
Name the Pattern
96(1)
Signal the Pattern
96(1)
Verbalize the Pattern
97(1)
Visualize the Pattern
97(1)
Step 3 Connecting Vocabulary to Context
97(1)
Working with Graphic Display
97(1)
Step 4 Assessing Content Vocabulary
98(1)
Generative Vocabulary
98(4)
Analyzing Words
98(1)
Generating Words
98(4)
Unit
10. Comparing Fractions with Like and Unlike Denominators
102(9)
Vocabulary Overview for the Unit
103(1)
Spanish Cognate Connections
103(1)
Domain-Specific Vocabulary
104(3)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
104(1)
Math in My World
104(1)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
105(1)
Name the Pattern
105(1)
Signal the Pattern
105(1)
Verbalize the Pattern
105(1)
Visualize the Pattern
105(1)
Step 3 Connecting Vocabulary to Context
106(1)
Working with Graphic Displays
106(1)
Step 4 Assessing Content Vocabulary
107(1)
Basic Assessment
107(1)
Generative Vocabulary
107(4)
Analyzing Words
107(1)
Generating Words
107(4)
Unit
11. Equivalent Fractions
111(11)
Vocabulary Overview for the Unit
112(1)
Spanish Cognate Connections
112(1)
Domain-Specific Vocabulary
113(3)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
113(1)
Anticipation Guide
113(1)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
113(2)
Name the Pattern
113(2)
Signal the Pattern
115(1)
Verbalize the Pattern
115(1)
Visualize the Pattern
115(1)
Step 3 Connecting Vocabulary to Context
115(1)
Step 4 Assessing Content Vocabulary
116(1)
Generative Vocabulary
116(6)
Analyzing Words
116(1)
Generating Words
117(5)
Unit
12. Fractions Greater than One
122(11)
Vocabulary Overview for the Unit
123(1)
Spanish Cognate Connections
123(1)
Domain-Specific Vocabulary
124(4)
Step 1 Engaging with Vocabulary and Building Conceptual Knowledge
124(2)
Math in My World
124(2)
Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics
126(1)
Name the Pattern
126(1)
Signal the Pattern
126(1)
Verbalize the Pattern
127(1)
Visualize the Pattern
127(1)
Step 3 Connecting Vocabulary to Context
127(1)
Working with Graphic Displays
127(1)
Step 4 Assessing Content Vocabulary
128(1)
Generative Vocabulary
128(5)
Analyzing Words
128(1)
Generating Words
128(5)
Appendix Templates and Resources 133(7)
References 140(1)
Index 141
Lori Helman, PhD, is Associate Professor in literacy education in the Department of Curriculum and Instruction at the University of Minnesota and Director of the Minnesota Center for Reading Research. Her research investigates literacy learning and academic language development for elementary students. She works with teachers and administrators to implement continuous improvement in schoolwide literacy approaches. Dr. Helman is lead author of the Words Their Way with English Learners series. She also publishes books and articles related to literacy instruction and literacy development with multilingual students such as Literacy Development with English Learners (Guilford) and Literacy Instruction in Multilingual Classrooms and Dilemmas and Opportunities: Close Looks into Language and Literacy Learning for Linguistically-Diverse Elementary Students (Teachers College Press).

 

Kathleen Cramer, PhD, is Associate Professor in Mathematics and Elementary Education in the Department of Curriculum and Instruction at the University of Minnesota and Co-Executive Director of the STEM Education Center.

 

Francine Johnston, PhD, is Associate Professor Emerita from the School of Education at the University of North Carolina, Greensboro. She is a core author of the Words Their Way series.

 

Donald R. Bear, PhD, is Professor in the School of Education at Iowa State University and Director of the Duffelmeyer Reading Clinic. He is a core author of the Words Their Way series.