Constructing Dynamic Triangles Together - The Development of Mathematical Group Cognition

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.

List 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.

About the author

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.

Summary

This study illustrates how groups learn through collaboration, mathematical discourse, and problem solving in a guided sequence of online topics.

Product details

• Authors: Gerry Stahl, Gerry (Drexel University Stahl, Stahl Gerry
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.11.2015
• EAN: 9781107127913
• ISBN: 978-1-107-12791-3
• No. of pages: 294
• Series: Learning in Doing: Social, Cognitive and Computational Perspectives; Learning in Doing: Social, Cog; Learning in Doing: Social, Cognitive and Computational Perspectives
• Subjects: Humanities, art, music > Psychology > Applied psychology; Natural sciences, medicine, IT, technology > Mathematics > Geometry; Non-fiction book > Psychology, esoterics, spirituality, anthroposophy > Psychology: general, reference works; PSYCHOLOGY / General, Psychology, EDUCATION / Computers & Technology, MATHEMATICS / Geometry / General, Mathematics, Human-Computer Interaction, geometry, Organization & management of education, Human–computer interaction, COMPUTERS / Human-Computer Interaction (HCI), Educational systems and structures, EDUCATION / Teaching / Materials & Devices