Preface |
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xxi | |
Acknowledgments |
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xxv | |
About the Authors |
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xxvii | |
Part I: Creating a Road Map: Big Ideas of Coaching, Teaching, and Learning |
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Chapter 1 Coaching For Mathematical Proficiency |
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3 | (12) |
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Leading for Mathematical Proficiency (LMP) Framework |
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3 | (8) |
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11 | (2) |
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13 | (2) |
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Chapter 2 Implementing Effective Teaching |
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15 | (30) |
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15 | (1) |
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Overview of Implementing Effective Teaching |
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16 | (3) |
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Coaching Considerations for Professional Learning |
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19 | (1) |
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Coaching Lessons From the Field |
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19 | (2) |
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Coaching Questions for Discussion |
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21 | (2) |
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23 | (2) |
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25 | (20) |
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2.1 Shifts in Classroom Practice Self-Assessment |
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26 | (2) |
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2.2 Essential Planning Questions for Effective Teaching |
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28 | (1) |
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2.3 Practices, Shifts, and Zones (Oh My) |
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29 | (1) |
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2.4 Mathematical Practices by Design |
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30 | (2) |
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32 | (2) |
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2.6 Mathematical Practice Look Fors |
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34 | (2) |
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2.7 Shifts in Classroom Practice |
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36 | (2) |
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2.8 Effective Teaching Look Fors |
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38 | (2) |
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2.9 Noticing Mathematical Practices |
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40 | (1) |
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2.10 Mapping Teaching Moves to Shifts in Classroom Practice |
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41 | (1) |
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2.11 Effective Teaching of Mathematics |
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42 | (3) |
Part II: Exploring zones on the Journey: Professional Learning Focus Areas |
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Chapter 3 Content Knowledge And Worthwhile Tasks |
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45 | (26) |
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45 | (1) |
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Overview of Content Knowledge and Worthwhile Tasks |
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46 | (4) |
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Coaching Considerations for Professional Learning |
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50 | (1) |
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Coaching Lessons From the Field |
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51 | (1) |
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Connecting to the Leading for Mathematical Proficiency (LMP) Framework |
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51 | (4) |
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Coaching Questions for Discussion |
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55 | (2) |
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57 | (2) |
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59 | (12) |
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3.1 Connecting Shifts to Content and Worthwhile Tasks Self-Assessment |
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60 | (2) |
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3.2 Connecting Shifts to Content and Tasks |
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62 | (1) |
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63 | (1) |
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64 | (1) |
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3.5 Analyzing Level of Cognitive Demand |
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65 | (1) |
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3.6 Worthwhile Task Analysis |
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66 | (1) |
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3.7 Developing Mathematical Proficiency |
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67 | (1) |
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3.8 Implementing Cognitively Demanding Tasks |
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68 | (1) |
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3.9 Impact on Students' Emerging Fluency |
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69 | (1) |
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3.10 Reflecting on Task Implementation |
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70 | (1) |
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Chapter 4 Engaging Students |
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71 | (22) |
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71 | (1) |
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Overview of Engaging Students |
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72 | (2) |
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Coaching Considerations for Professional Learning |
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74 | (1) |
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Coaching Lessons From the Field |
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75 | (1) |
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Connecting to the Leading for Mathematical Proficiency (LMP) Framework |
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75 | (4) |
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Coaching Questions for Discussion |
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79 | (1) |
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80 | (3) |
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83 | (10) |
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4.1 Connecting Shifts to Engaging Students Self-Assessment |
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84 | (2) |
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4.2 Total Participation Technique (TPT) Planning |
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86 | (1) |
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4.3 Planning for Cooperative Groups |
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87 | (1) |
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4.4 Engagement Techniques |
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88 | (1) |
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4.5 Cooperative Groups Data Gathering |
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89 | (1) |
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4.6 Engagement Techniques Discussion Prompts |
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90 | (1) |
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4.7 Reflecting on Cooperative Groups |
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91 | (1) |
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4.8 Analyzing Learning in Cooperative Groups |
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92 | (1) |
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Chapter 5 Ouestionin6 And Discourse |
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93 | (26) |
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93 | (1) |
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Overview of Questioning and Discourse |
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94 | (3) |
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Coaching Considerations for Professional Learning |
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97 | (1) |
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Coaching Lessons From the Field |
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98 | (1) |
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Connecting to the Leading for Mathematical Proficiency (LMP) Framework |
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99 | (4) |
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Coaching Questions for Discussion |
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103 | (2) |
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105 | (2) |
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107 | (12) |
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5.1 Connecting Shifts to Questioning and Discourse Self-Assessment |
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108 | (1) |
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5.2 High-Level Thinking Questions |
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109 | (1) |
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5.3 Questioning Across Lesson Phases |
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110 | (2) |
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5.4 Questioning Across Lesson Phases (Focus on Productive Struggle) |
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112 | (1) |
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5.5 Bloom's Taxonomy (Revised) and Mathematical Knowledge |
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113 | (1) |
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114 | (1) |
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115 | (1) |
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5.8 Productive Discussions and Talk Moves |
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116 | (1) |
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5.9 Question and Discourse Discussion Prompts |
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117 | (1) |
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5.10 Reflecting on Bloom's Taxonomy (Revised) and Mathematical Knowledge |
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118 | (1) |
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Chapter 6 Formative Assessment |
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119 | (26) |
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119 | (1) |
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Overview of Formative Assessment |
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120 | (2) |
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Coaching Considerations for Professional Learning |
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122 | (1) |
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Coaching Lessons From the Field |
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123 | (1) |
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Connecting to the Leading for Mathematical Proficiency (LMP) Framework |
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124 | (4) |
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Coaching Questions for Discussion |
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128 | (2) |
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130 | (3) |
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133 | (12) |
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6.1 Connecting Shifts to Formative Assessment Self-Assessment |
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134 | (1) |
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6.2 Planning for Five "Key Strategies" for Formative Assessment |
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135 | (1) |
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6.3 Developing Questions to Target Misconceptions |
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136 | (1) |
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6.4 Using Rubrics for Formative Assessment |
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137 | (1) |
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6.5 Observing and Providing Feedback |
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138 | (1) |
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6.6 Observing Students' Thinking |
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139 | (1) |
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6.7 Observing Students' Representations |
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140 | (1) |
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6.8 Brief Formative Assessment Interview |
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141 | (1) |
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6.9 Five "Key Strategies" for Formative Assessment Data Collection |
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142 | (1) |
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6.10 Using Rubrics for Formative Assessment |
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143 | (1) |
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6.11 Analyzing Formative Assessment Key Strategies |
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144 | (1) |
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Chapter 7 Analyzing Student Work |
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145 | (20) |
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145 | (1) |
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Overview of Analyzing Student Work |
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146 | (3) |
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Coaching Considerations for Professional Learning |
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149 | (1) |
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Coaching Lessons From the Field |
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149 | (1) |
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Connecting to the Leading for Mathematical Proficiency (LMP) Framework |
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150 | (3) |
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Coaching Questions for Discussion |
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153 | (1) |
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154 | (1) |
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155 | (10) |
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7.1 Connecting Shifts to Analyzing Student Work Self-Assessment |
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156 | (2) |
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7.2 One Day/Many Artifacts Planning |
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158 | (1) |
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7.3 Planning Task Implementation |
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159 | (1) |
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7.4 Understanding Student Thinking |
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160 | (1) |
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7.5 Analyzing One Student's Work |
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161 | (1) |
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7.6 Analysis of Students' Misconceptions |
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162 | (1) |
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7.7 Collaborative Analysis Protocol |
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163 | (2) |
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Chapter 8 Differentiating Instruction For All Learners |
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165 | (24) |
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165 | (1) |
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Overview of Differentiating Instruction |
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166 | (3) |
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Coaching Considerations for Professional Learning |
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169 | (1) |
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Coaching Lessons From the Field |
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170 | (1) |
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Connecting to the Leading for Mathematical Proficiency (LMP) Framework |
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170 | (3) |
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Coaching Questions for Discussion |
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173 | (1) |
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174 | (3) |
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177 | (12) |
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8.1 Connecting Shifts to Differentiated Instruction Self-Assessment |
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178 | (2) |
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180 | (1) |
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8.3 Meeting Individual Needs |
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181 | (1) |
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8.4 Different Ways to Differentiate a Lesson |
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182 | (1) |
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183 | (1) |
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184 | (1) |
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8.7 Differentiating Instruction |
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185 | (1) |
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8.8 Learning From Focus on Five |
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186 | (1) |
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8.9 Impact of Open/Tiered/Parallel Tasks |
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187 | (2) |
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Chapter 9 Supporting Emergent Multilingual Students |
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189 | (24) |
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189 | (1) |
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Overview of Supporting Emergent Multilingual Students |
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190 | (3) |
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Coaching Considerations for Professional Learning |
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193 | (1) |
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Coaching Lessons From the Field |
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194 | (1) |
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Connecting to the Leading for Mathematical Proficiency (LMP) Framework |
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195 | (4) |
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Coaching Questions for Discussion |
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199 | (1) |
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200 | (3) |
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203 | (10) |
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9.1 Connecting Shifts to Supporting Emerging Multilingual Students Self-Assessment |
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204 | (2) |
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9.2 Culturally Responsive Mathematics Instruction (CRMI) |
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206 | (1) |
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9.3 Planning Strategies to Support Emergent Multilingual Students |
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207 | (1) |
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208 | (1) |
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9.5 Focus on Culturally Responsive Mathematics Instruction (CRMI) |
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209 | (1) |
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9.6 Teaching to Support Emergent Multilingual Students |
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210 | (1) |
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9.7 Reflecting on Support for Emergent Multilingual Students |
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211 | (1) |
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9.8 Reflecting on Using a Diagnostic Interview |
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212 | (1) |
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Chapter 10 Supporting Students With Special Needs |
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213 | (24) |
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213 | (1) |
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Overview of Supporting Students With Special Needs |
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214 | (2) |
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Coaching Considerations for Professional Learning |
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216 | (1) |
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Coaching Lessons From the Field |
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217 | (1) |
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Connecting to the Leading for Mathematical Proficiency (LMP) Framework |
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217 | (4) |
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Coaching Questions for Discussion |
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221 | (2) |
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223 | (2) |
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225 | (12) |
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10.1 Connecting Shifts to Supporting Students With Special Needs Self-Assessment |
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226 | (2) |
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10.2 Challenges and Support Structures |
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228 | (1) |
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10.3 Structuring a Lesson to Support Students With Special Needs |
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229 | (1) |
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10.4 Effective Teaching for Students With Special Needs |
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230 | (1) |
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10.5 Implementing Support Structures for Students With Special Needs |
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231 | (1) |
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10.6 Reflecting on Effective Teaching for Students With Special Needs |
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232 | (1) |
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10.7 Reflecting on Structuring a Lesson for Built-In Success |
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233 | (4) |
Part III: Navigating a Successful Journey: Strategies and Tools for You, the Coach |
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Chapter 11 Interacting With Colleagues |
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237 | (12) |
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237 | (1) |
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Overview of Interacting With Colleagues |
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238 | (1) |
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239 | (1) |
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Coaching lessons From the Field: Building Trust |
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240 | (1) |
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240 | (1) |
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Coaching Lessons From the Field: Building Rapport |
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241 | (1) |
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242 | (1) |
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Coaching Lesson From the Field: Listening-Vignette 1 |
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243 | (1) |
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Coaching Lesson From the Field: Listening-Vignette 2 |
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243 | (1) |
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Coaching Lesson From the Field: Listening-Vignette 3 |
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244 | (1) |
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244 | (1) |
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Coaching Lessons From the Field: Paraphrasing |
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245 | (1) |
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246 | (1) |
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Coaching Lessons From the Field: Posing Questions |
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247 | (1) |
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248 | (1) |
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Chapter 12 Presenting Professional Development |
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249 | (28) |
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249 | (1) |
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Overview of Presenting Professional Development |
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250 | (1) |
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Tips for Presenting Professional Development |
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251 | (1) |
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Coaching Lessons From the Field |
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252 | (1) |
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253 | (2) |
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255 | (22) |
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12.1 Professional Development Overview Planning |
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256 | (1) |
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12.2 Professional Development Planning Checklist |
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257 | (1) |
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12.3 Professional Development Planning Template |
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258 | (1) |
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12.4 Differentiating Professional Development |
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259 | (1) |
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12.5 Evaluating Professional Development |
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260 | (2) |
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12.6 Sample Professional Development Activity: Grouping Strategy (P.I.C.S. Page) |
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262 | (1) |
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12.7 Sample Professional Development Activity: Grouping Strategy (Shape Partners) |
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263 | (2) |
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12.8 Sample Professional Development Activity: Mathematical Practices Mini-Vignettes |
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265 | (3) |
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12.9 Sample Professional Development Activity: Mathematical Practices Playing Cards |
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268 | (3) |
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12.10 Sample Professional Development Activity: Questioning and the Mathematical Practices |
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271 | (4) |
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12.11 Sample Professional Development Activity: Effective Teaching Practices |
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275 | (2) |
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Chapter 13 Facilitating Professional Learning Communities |
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277 | (24) |
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277 | (1) |
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Overview of Facilitating Professional Learning Communities |
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278 | (1) |
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Tips for Facilitating Professional Learning Communities |
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279 | (2) |
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Coaching Lessons From the Field |
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281 | (1) |
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282 | (3) |
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285 | (16) |
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13.1 Meeting Standards Self-Assessment and Reflection |
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286 | (1) |
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13.2 Facilitator Proficiency Scale |
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287 | (3) |
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13.3 Sample Facilitation Activity: Appreciative Inquiry Protocol |
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290 | (2) |
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13.4 Sample Facilitation Activity: Paraphrasing |
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292 | (2) |
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13.5 Sample Facilitation Activity: Inclusion Strategies |
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294 | (1) |
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13.6 Sample Facilitation Activity: Task Talk Protocol |
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295 | (6) |
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301 | (4) |
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Teaching Practices & Shifts in Classroom Practice Look Fors |
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302 | (1) |
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Mathematical Practices & Student Look Fors |
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303 | (2) |
Glossary |
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305 | (4) |
References |
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309 | (4) |
Index |
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313 | |