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
12 June 2025

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
Weight: 480g
ISBN: 9781107566873
ISBN 10: 1107566878
Series: Learning in Doing: Social, Cognitive and Computational Perspectives
Pages: 293
Publication Date: 12 June 2025
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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