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Constructing Dynamic Triangles Together
The Development of Mathematical Group Cognition

Part of Learning in Doing: Social, Cognitive and Computational Perspectives

  • Date Published: November 2015
  • availability: Available
  • format: Hardback
  • isbn: 9781107127913

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About the Authors
  • 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.

    • Demonstrates the potential of new approaches to analyzing digital learning in small groups
    • Outlines research methods that overcome limitations of traditional quantitative and qualitative methods
    • Explains technical terminology and avoids specialist jargon, making it accessible to a multidisciplinary audience and to students
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    Reviews & endorsements

    'Anyone interested in group cognition, online pedagogy, or online curriculum will find this book interesting and useful.' Whitney George, Mathematical Association of America

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    Product details

    • Date Published: November 2015
    • format: Hardback
    • isbn: 9781107127913
    • length: 294 pages
    • dimensions: 229 x 152 x 21 mm
    • weight: 0.6kg
    • contains: 40 b/w illus. 63 tables
    • availability: Available
  • Table of Contents

    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 dynamic triangles together.

  • Author

    Gerry Stahl, Drexel University, Philadelphia
    Gerry Stahl is Professor Emeritus at Drexel University's College of Computing and Informatics. He is the founding editor of the International Journal of Computer-Supported Collaborative Learning, and his publications include Group Cognition: Computer Support for Building Collaborative Knowledge, Translating Euclid: Designing a Human-Centered Mathematics, and Studying Virtual Math Teams.

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