Constructing Dynamic Triangles Together: The Development of Mathematical Group Cognition [Paperback]

This study illustrates how groups learn through collaboration, mathematical discourse, and problem solving in a guided sequence of online topics.A longitudinal study of eight sessions of online teamwork by three girls learning geometry as novices, this book presents innovative approaches and persuasive insights into computer-supported collaborative learning of mathematics. It offers valuable resources for researchers, instructors, and students interested in group cognition, educational technology, mathematics education, and human-computer interaction.A longitudinal study of eight sessions of online teamwork by three girls learning geometry as novices, this book presents innovative approaches and persuasive insights into computer-supported collaborative learning of mathematics. It offers valuable resources for researchers, instructors, and students interested in group cognition, educational technology, mathematics education, and human-computer interaction.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, l#!