Preface |
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xv | |
Acknowledgments and Dedication |
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xvii | |
Introduction |
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Part 1 The Crucial Role of Vocabulary Knowledge in Mathematics |
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xix | |
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Three Essential Types of Vocabulary Knowledge |
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xx | |
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Principles of Vocabulary Instruction |
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xxii | |
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Vocabulary Support for Multilingual Learners |
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xxiii | |
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Part 2 Mathematics Units: Organization and Core Activities and Strategies |
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xxv | |
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Domain-Specific Vocabulary |
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xxvi | |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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xxvi | |
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xxvi | |
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xxvii | |
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xviii | |
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xxix | |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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xxx | |
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1 Seeing the Big Picture in Mathematics Graphic Organizer |
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xxxii | |
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xxxiii | |
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Step 3 Connecting Vocabulary to Context |
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xxxiv | |
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xxxiv | |
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xxxv | |
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3 Working with Graphic Displays |
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xxxv | |
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Step 4 Assessing Content Vocabulary |
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xxxvi | |
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xxxvi | |
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xxxvii | |
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3 Vocabulary Self-Assessment |
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xxxvii | |
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xxxviii | |
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xxxviii | |
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xxxviii | |
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Moving on to the Mathematics Units |
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xl | |
Elementary Mathematics Units |
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Unit 1. Naming Triangles Part 1 |
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1 | (12) |
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Vocabulary Overview for the Unit |
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2 | (1) |
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Spanish Cognate Connections |
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2 | (1) |
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Domain-Specific Vocabulary |
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3 | (2) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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3 | (1) |
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3 | (1) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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3 | (1) |
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3 | (1) |
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3 | (1) |
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4 | (1) |
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4 | (1) |
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Step 3 Connecting Vocabulary to Context |
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4 | (1) |
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Working with Graphic Displays |
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4 | (1) |
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Step 4 Assessing Content Vocabulary |
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5 | (1) |
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5 | (8) |
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5 | (2) |
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5 | (1) |
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6 | (1) |
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7 | (6) |
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Unit 2. Naming Triangles Part 2 |
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13 | (10) |
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Vocabulary Overview for the Unit |
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14 | (1) |
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Spanish Cognate Connections |
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14 | (1) |
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Domain-Specific Vocabulary |
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15 | (2) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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15 | (1) |
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15 | (1) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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16 | (1) |
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16 | (1) |
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16 | (1) |
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16 | (1) |
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16 | (1) |
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Step 3 Connecting Vocabulary to Context |
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16 | (1) |
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16 | (1) |
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Step 4 Assessing Content Vocabulary |
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17 | (1) |
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17 | (6) |
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17 | (1) |
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18 | (5) |
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Unit 3. Properties of Quadrilaterals |
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23 | (12) |
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Vocabulary Overview for the Unit |
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24 | (1) |
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Spanish Cognate Connections |
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24 | (1) |
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Domain-Specific Vocabulary |
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25 | (3) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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25 | (1) |
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25 | (1) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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26 | (1) |
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26 | (1) |
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26 | (1) |
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26 | (1) |
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26 | (1) |
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Step 3 Connecting Vocabulary to Context |
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27 | (1) |
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Working with Graphic Displays |
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27 | (1) |
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Step 4 Assessing Content Vocabulary |
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28 | (1) |
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28 | (7) |
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28 | (1) |
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29 | (6) |
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Unit 4. Rectangles, Rhombi, or Squares |
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35 | (13) |
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Vocabulary Overview for the Unit |
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36 | (1) |
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Spanish Cognate Connections |
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36 | (1) |
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Domain-Specific Vocabulary |
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37 | (4) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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37 | (1) |
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37 | (1) |
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37 | (1) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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37 | (1) |
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37 | (1) |
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37 | (1) |
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38 | (1) |
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38 | (1) |
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Step 3 Connecting Vocabulary to Context |
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38 | (1) |
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Working with Graphic Displays |
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38 | (1) |
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Step 4 Assessing Content Vocabulary |
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39 | (2) |
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41 | (7) |
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41 | (1) |
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41 | (1) |
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41 | (1) |
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41 | (7) |
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Unit 5. Contexts for Area and Perimeter |
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48 | (12) |
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Vocabulary Overview for the Unit |
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49 | (1) |
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Spanish Cognate Connections |
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49 | (1) |
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Domain-Specific Vocabulary |
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50 | (3) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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50 | (1) |
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50 | (1) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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51 | (1) |
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51 | (1) |
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51 | (1) |
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51 | (1) |
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52 | (1) |
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Step 3 Connecting Vocabulary to Context |
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52 | (1) |
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Working with Graphic Displays |
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52 | (1) |
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Step 4 Assessing Content Vocabulary |
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53 | (1) |
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53 | (7) |
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53 | (1) |
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54 | (6) |
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Unit 6. Comparing Areas and Perimeters of Rectangles |
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60 | (9) |
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Vocabulary Overview for the Unit |
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61 | (1) |
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Spanish Cognate Connections |
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61 | (1) |
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Domain-Specific Vocabulary |
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62 | (3) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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62 | (1) |
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62 | (1) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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62 | (1) |
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62 | (1) |
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63 | (1) |
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63 | (1) |
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63 | (1) |
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Step 3 Connecting Vocabulary to Context |
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63 | (1) |
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Working with Graphic Displays |
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63 | (1) |
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Step 4 Assessing Content Vocabulary |
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64 | (1) |
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64 | (1) |
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65 | (4) |
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65 | (1) |
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65 | (4) |
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Unit 7. Finding the Volume of Rectangular Prisms |
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69 | (12) |
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Vocabulary Overview for the Unit |
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70 | (1) |
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Spanish Cognate Connections |
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70 | (1) |
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Domain-Specific Vocabulary |
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71 | (3) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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71 | (1) |
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71 | (1) |
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71 | (1) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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72 | (1) |
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72 | (1) |
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72 | (1) |
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72 | (1) |
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73 | (1) |
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Step 3 Connecting Vocabulary to Context |
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73 | (1) |
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Working with Graphic Displays |
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73 | (1) |
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Step 4 Assessing Content Vocabulary |
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74 | (1) |
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74 | (1) |
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74 | (7) |
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74 | (1) |
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75 | (8) |
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75 | (1) |
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75 | (6) |
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Unit 8. Problems Involving Volume |
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81 | (12) |
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Vocabulary Overview for the Unit |
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82 | (1) |
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Spanish Cognate Connections |
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82 | (1) |
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Domain-Specific Vocabulary |
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83 | (3) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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83 | (1) |
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83 | (1) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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83 | (1) |
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83 | (1) |
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84 | (1) |
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84 | (1) |
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84 | (1) |
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Step 3 Connecting Vocabulary to Context |
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84 | (2) |
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Working with Graphic Displays |
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84 | (2) |
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Step 4 Assessing Content Vocabulary |
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86 | (1) |
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86 | (1) |
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86 | (7) |
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86 | (1) |
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87 | (6) |
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93 | (9) |
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Vocabulary Overview for the Unit |
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94 | (1) |
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Spanish Cognate Connections |
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94 | (1) |
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Domain-Specific Vocabulary |
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95 | (3) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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95 | (1) |
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95 | (1) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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96 | (1) |
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96 | (1) |
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96 | (1) |
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97 | (1) |
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97 | (1) |
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Step 3 Connecting Vocabulary to Context |
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97 | (1) |
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Working with Graphic Display |
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97 | (1) |
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Step 4 Assessing Content Vocabulary |
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98 | (1) |
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98 | (4) |
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98 | (1) |
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98 | (4) |
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Unit 10. Comparing Fractions with Like and Unlike Denominators |
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102 | (9) |
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Vocabulary Overview for the Unit |
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103 | (1) |
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Spanish Cognate Connections |
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103 | (1) |
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Domain-Specific Vocabulary |
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104 | (3) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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104 | (1) |
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104 | (1) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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105 | (1) |
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105 | (1) |
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105 | (1) |
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105 | (1) |
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105 | (1) |
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Step 3 Connecting Vocabulary to Context |
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106 | (1) |
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Working with Graphic Displays |
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106 | (1) |
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Step 4 Assessing Content Vocabulary |
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107 | (1) |
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107 | (1) |
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107 | (4) |
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107 | (1) |
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107 | (4) |
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Unit 11. Equivalent Fractions |
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111 | (11) |
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Vocabulary Overview for the Unit |
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112 | (1) |
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Spanish Cognate Connections |
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112 | (1) |
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Domain-Specific Vocabulary |
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113 | (3) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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113 | (1) |
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113 | (1) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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113 | (2) |
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113 | (2) |
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115 | (1) |
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115 | (1) |
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115 | (1) |
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Step 3 Connecting Vocabulary to Context |
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115 | (1) |
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Step 4 Assessing Content Vocabulary |
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116 | (1) |
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116 | (6) |
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116 | (1) |
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117 | (5) |
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Unit 12. Fractions Greater than One |
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122 | (11) |
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Vocabulary Overview for the Unit |
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123 | (1) |
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Spanish Cognate Connections |
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123 | (1) |
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Domain-Specific Vocabulary |
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124 | (4) |
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Step 1 Engaging with Vocabulary and Building Conceptual Knowledge |
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124 | (2) |
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124 | (2) |
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Step 2 Thinking Like a Mathematician - Finding the Patterns in Mathematics |
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126 | (1) |
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126 | (1) |
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126 | (1) |
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127 | (1) |
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127 | (1) |
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Step 3 Connecting Vocabulary to Context |
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127 | (1) |
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Working with Graphic Displays |
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127 | (1) |
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Step 4 Assessing Content Vocabulary |
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128 | (1) |
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128 | (5) |
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128 | (1) |
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128 | (5) |
Appendix Templates and Resources |
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133 | (7) |
References |
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140 | (1) |
Index |
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141 | |