Foreword |
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xi | |
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Acknowledgments |
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xiii | |
Introduction |
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1 | (8) |
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PART I UNDERSTANDING THE APPROACH |
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1 Thinking Differently About Teaching and Learning |
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9 | (8) |
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What It Looks Like in a Real Classroom |
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9 | (3) |
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12 | (5) |
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2 Engineering Design, Mathematics, Science, and Literacy |
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17 | (12) |
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A Visual Model of Our Approach |
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18 | (1) |
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The Design Process: Dynamic, Iterative Waves of Divergent and Convergent Thinking |
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19 | (5) |
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Integrating Mathematical Modeling, Scientific Challenges, and Literacy Practices |
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24 | (5) |
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3 Affordances and Supports |
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29 | (12) |
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Supporting Productive Struggle by Learners |
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30 | (2) |
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Promoting Equity in the Classroom |
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32 | (1) |
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33 | (3) |
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Reflective Teaching Practice |
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36 | (2) |
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Leveraging the Design Process for Reflective Teaching |
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38 | (3) |
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4 Why Do We Think This Works? |
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41 | (12) |
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Evidence-Based Teaching Practices |
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41 | (5) |
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Evidence Base for Core Components of Our Approach |
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46 | (3) |
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Evidence Base for Bringing It All Together |
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49 | (4) |
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5 Personifying Best Practices |
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53 | (10) |
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(Re)Designing Industrial Farming in Your State |
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53 | (2) |
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Connecting Theory to Practice |
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55 | (8) |
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6 Design and Mathematical Modeling--From Artifacts to Processes |
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63 | (10) |
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Affordances for Systems-Level Learning Across the Artifact-to-Process Continuum |
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65 | (5) |
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Returning to the Grocery Store |
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70 | (3) |
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7 How Constraints and Criteria Affect Design and Mathematical Modeling |
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73 | (6) |
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How Many Marbles Can You Fit in a Piece of Aluminum Foil Before It Sinks? |
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74 | (1) |
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Keeping a Cold Drink Cold for Longer (Co-Constructing Constraints) |
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74 | (5) |
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8 Scaffolding Student Learning in Design and Mathematical Modeling |
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79 | (12) |
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Productive Struggle in Design-Based Learning |
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80 | (2) |
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Scaffolding Productive Struggle |
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82 | (3) |
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Strategically Using Formative Assessment Data |
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85 | (2) |
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Giving Students Voice in Design Constraints, Criteria, and Methods of Assessment |
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87 | (4) |
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9 Design and Mathematical Modeling Across Content Areas and Grade Levels |
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91 | (14) |
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Gingerbread-House Lesson (6th-Grade Mathematics Class) |
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91 | (4) |
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Predator/Prey Lesson (8th-Grade Science Class) |
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95 | (3) |
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Skater-Ramp Lesson (7th-Grade Mathematics and Science Class) |
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98 | (3) |
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Adapting Design-Based Learning Activities to Your Students |
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101 | (4) |
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10 Design and Mathematical Modeling Across Instructional Modalities |
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105 | (10) |
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Taking Design-Based Learning Online |
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106 | (2) |
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Examples of Design-Based Learning at a Distance |
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108 | (3) |
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Connecting Examples to Core Components, Affordances, and Supports |
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111 | (4) |
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PART III MAKING IT YOUR OWN |
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11 Linking an Integrative Series of Design and Mathematical Modeling Activities |
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115 | (8) |
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Problem-Based, Design-Based, and Project-Based Integration |
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115 | (2) |
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Energy and the Environment Thematic Unit |
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117 | (5) |
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122 | (1) |
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12 Address Any Content Standard and "Fix" Textbook Problems |
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123 | (10) |
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123 | (4) |
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Starting From Existing Activities or Problems |
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127 | (4) |
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(Re)Designing Effective Teaching Practices |
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131 | (2) |
Conclusion: The Wicked Problem of Education for All |
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133 | (2) |
References |
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135 | (8) |
Index |
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143 | (4) |
About the Authors |
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147 | |