
Constructing Dynamic Triangles Together
The Development of Mathematical Group Cognition
- English
- PDF
- Available on iOS & Android
About this book
Rational thinking as exemplified in mathematical cognition is immensely important in the modern world. This book documents how a group of three eighth-grade girls developed specific group practices typical of such thinking in an online educational experience. A longitudinal case study tracks the team through eight hour-long sessions, following the students' meaning-making processes through their mutual chat responses preserved in computer logs coordinated with their geometric actions. The examination of data focuses on key areas of the team's development: its effective team collaboration, its productive mathematical discourse, its enacted use of dynamic-geometry tools, and its ability to identify and construct dynamic-geometry dependencies. This detailed study of group cognition serves as a paradigmatic example of computer-supported collaborative learning, incorporating a unique model of human-computer interaction analysis applied to the use of innovative educational technology. A valuable resource for researchers, instructors, and students alike, it offers concrete suggestions for improving educational practice.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Cover
- Half-title
- Series information
- Title page
- Copyright information
- Table of contents
- List of figures
- List of logs
- Series foreword
- Preface
- Acknowledgments
- Introduction to the Analysis
- Researching Mathematical Cognition
- Analyzing Development of Group Cognition
- Session 1: The Team Develops Collaboration Practices
- Session 2: The Team Develops Dragging Practices
- Session 3: The Team Develops Construction Practices
- Session 4: The Team Develops Tool Usage Practices
- Session 5: The Team Identifies Dependencies
- Session 6: The Team Constructs Dependencies
- Session 7: The Team Uses Transformation Tools
- Session 8: The Team Develops Mathematical Discourse and Action Practices
- Contributions to a Theory of Mathematical Group Cognition
- Constructing Mathematical Group Cognition
- References
- Author Index
- General Index