List of Figures |
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x | |
List of Logs |
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xii | |
Series Foreword |
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xv | |
Preface |
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xvii | |
Acknowledgments |
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xix | |
Introduction to the Analysis |
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1 | (10) |
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1 | (3) |
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4 | (7) |
Researching Mathematical Cognition |
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11 | (11) |
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The Historical Development of Mathematical Cognition |
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12 | (4) |
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The Methodology of Group-Cognitive Development |
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16 | (6) |
Analyzing Development of Group Cognition |
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22 | (22) |
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22 | (9) |
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Sequential-Interaction Analysis |
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31 | (7) |
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The Display of Collaborative Development |
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38 | (6) |
Session 1: The Team Develops Collaboration Practices |
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44 | (44) |
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46 | (23) |
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69 | (3) |
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72 | (5) |
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77 | (4) |
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Summary of Learning in Session 1 |
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81 | (7) |
Session 2: The Team Develops Dragging Practices |
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88 | (21) |
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88 | (11) |
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99 | (4) |
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103 | (1) |
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104 | (1) |
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Summary of Learning in Session 2 |
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105 | (4) |
Session 3: The Team Develops Construction Practices |
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109 | (20) |
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Visual Drawings and Theoretical Constructions |
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109 | (2) |
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111 | (12) |
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123 | (1) |
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Summary of Learning in Session 3 |
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124 | (5) |
Session 4: The Team Develops Tool Usage Practices |
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129 | (13) |
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129 | (5) |
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134 | (4) |
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138 | (1) |
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Summary of Learning in Session 4 |
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139 | (3) |
Session 5: The Team Identifies Dependencies |
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142 | (12) |
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The Inscribed Triangles Tab |
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142 | (10) |
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Summary of Learning in Session 5 |
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152 | (2) |
Session 6: The Team Constructs Dependencies |
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154 | (17) |
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The Inscribed Triangles Tab, Continued |
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154 | (3) |
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The Inscribed Squares Tab |
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157 | (9) |
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Summary of Learning in Session 6 |
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166 | (5) |
Session 7: The Team Uses Transformation Tools |
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171 | (13) |
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171 | (11) |
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Summary of Learning in Session 7 |
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|
182 | (2) |
Session 8: The Team Develops Mathematical Discourse and Action Practices |
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184 | (33) |
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185 | (1) |
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Poly1: Efficient Analysis |
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186 | (2) |
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188 | (14) |
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Poly3: A Confused Attempt |
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202 | (2) |
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Poly4: Vertices Swinging around Circles |
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204 | (1) |
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Poly5: It's Restricted Dude |
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205 | (1) |
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206 | (2) |
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208 | (1) |
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Summary of Learning in Session 8 |
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209 | (6) |
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What Did We Learn about What the Team Learned? |
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215 | (2) |
Contributions to a Theory of Mathematical Group Cognition |
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217 | (24) |
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How Mathematical Group Cognition Developed |
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218 | (2) |
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Collaboration and the Development of Group Agency |
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220 | (5) |
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The Group Discourse of Mathematical Dependency |
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225 | (7) |
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Dynamic-Geometry Tools Mediating Group Cognitive Development |
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232 | (9) |
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Dragging as Embodied Group Cognition |
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235 | (2) |
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Constructing as Situated Group Cognition |
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237 | (1) |
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Designing as Group Conceptualizing of Dependency |
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238 | (3) |
Constructing Mathematical Group Cognition |
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241 | (10) |
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The Dialectic of Mathematical Cognition |
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241 | (2) |
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Implications for Designing |
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|
243 | (3) |
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Advances and Future Prospects |
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|
246 | (5) |
References |
|
251 | (10) |
Author Index |
|
261 | (2) |
General Index |
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263 | |