Constructing Dynamic Triangles Together: The Development of Mathematical Group Cognition (Learning in Doing: Social, Cognitive and Computational Perspectives)
Cambridge University Press
Edition: Illustrated, 11/19/2015
EAN 9781107127913, ISBN10: 1107127912
Hardcover, 294 pages, 22.9 x 15.2 x 2.1 cm
Language: English
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.
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.