Constructing Dynamic Triangles Together: The Development of Mathematical Group Cognition

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Gerry Stahl (Drexel University, Philadelphia)

Constructing Dynamic Triangles Together

The Development of Mathematical Group Cognition

Gerry Stahl (Drexel University, Philadelphia)

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English

Cambridge University Press
19 November 2015

Educational psychology; Educational equipment & technology, computer-aided learning (CAL); Geometry

Series: Learning in Doing: Social, Cognitive and Computational Perspectives

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.

By: Gerry Stahl (Drexel University Philadelphia)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 237mm, Width: 160mm, Spine: 25mm
Weight: 600g
ISBN: 9781107127913
ISBN 10: 1107127912
Series: Learning in Doing: Social, Cognitive and Computational Perspectives
Pages: 294
Publication Date: 19 November 2015
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

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.

Reviews for Constructing Dynamic Triangles Together: The Development of Mathematical Group Cognition

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