| Preface |
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v | |
| Acknowledgments |
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vii | |
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1 The WHAT, WHO, and HOW of Mathematical Worlds of Infants and Toddlers |
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1 | (14) |
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What: Understanding the Concept and Practice of Precursor Mathematics |
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2 | (3) |
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What the Research Says: The Brain Develops Significantly in the First Three Years |
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5 | (2) |
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Who: Infants and Toddlers and Their Conceptual Development |
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7 | (1) |
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What the Research Says: The Critical Role of Nurturing |
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8 | (3) |
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How: Closely Attend and Intentionally Respond---The CAIR Principle |
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11 | (3) |
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Looking Back to Look Forward |
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14 | (1) |
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2 The Precursor Math Concept of Attribute |
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15 | (15) |
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What: Where's the Math in Attribute? |
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15 | (3) |
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What the Research Says: Categories of Attribute |
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18 | (1) |
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Who: Infants and Toddlers Developing Understanding of Attribute |
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19 | (2) |
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What the Research Says: Sensory Perceptions and Social-Emotional Responses |
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21 | (1) |
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How: Using CAIR to Develop Understanding of the PMC of Attribute |
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22 | (5) |
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Looking Back to Look Forward |
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27 | (1) |
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Your Turn: Reflective Practice Review |
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28 | (2) |
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3 The Precursor Math Concept of Comparison |
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30 | (16) |
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What: Where's the Math in Comparison? |
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30 | (3) |
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What the Research Says: Infants and Toddlers Are Born Mathematicians/Statisticians |
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33 | (1) |
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Who: Infants and Toddlers Developing Understanding of Comparison |
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34 | (3) |
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What the Research Says: Object Terms and Relational Terms |
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37 | (1) |
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How: Using CAIR to Develop Understanding of the PMC of Comparison |
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38 | (6) |
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Looking Back to Look Forward |
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44 | (1) |
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Your Turn: Reflective Practice Review |
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44 | (2) |
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4 The Precursor Math Concept of Change |
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46 | (16) |
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What: Where's the Math in Change? |
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46 | (4) |
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What the Research Says: Spatial Sense Is Where Math Begins |
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50 | (2) |
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Who: Infants and Toddlers Developing Understanding of Change |
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52 | (2) |
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What the Research Says: It's Not Surprising That Change Triggers Thinking |
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54 | (1) |
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How: Using CAIR to Develop Understanding of the PMC of Change |
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55 | (4) |
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Looking Back to Look Forward |
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59 | (1) |
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Your Turn: Reflective Practice Review |
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60 | (2) |
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5 The Precursor Math Concept of Pattern |
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62 | (16) |
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What: Where's the Math in Pattern? |
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62 | (4) |
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What the Research Says: Where Is the Pattern in the Number World? |
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66 | (2) |
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Who: Infants and Toddlers Developing Understanding of Pattern |
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68 | (3) |
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What the Research Says: Where's the Math in Music? |
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71 | (1) |
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How: Using CAIR to Develop Understanding of the PMC of Pattern |
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72 | (3) |
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Looking Back to Look Forward |
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75 | (1) |
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Your Turn: Reflective Practice Review |
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76 | (2) |
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6 Bringing It All Together |
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78 | (22) |
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Bringing Together the Four Precursor Math Concepts---the WHAT |
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79 | (3) |
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Bringing Together Who and HOW |
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82 | (5) |
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Bringing Together the WHAT, Who, and HOW of Mathematical Thinking in Early Childhood |
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87 | (3) |
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Your Turn: Bringing It All Together |
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90 | (3) |
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93 | (7) |
| Index |
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100 | (4) |
| About the Authors |
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104 | |