Constructing Dynamic Triangles Together
The Development of Mathematical Group Cognition
Published on 4. November 2015
978-1-316-44715-4 (ISBN)
Description
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.
Reviews / Votes
'Anyone interested in group cognition, online pedagogy, or online curriculum will find this book interesting and useful.' Whitney George, Mathematical Association of AmericaMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
63 Tables, black and white; 40 Halftones, unspecified; 40 Halftones, black and white
File size
31,78 MB
ISBN-13
978-1-316-44715-4 (9781316447154)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
11/2015
Cambridge University Press
€140.60
Shipment within 15-20 days
Person
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.
Content
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.
