Constructing dynamic triangles together : the development of mathematical group cognition /
Stahl, Gerry,
Constructing dynamic triangles together : the development of mathematical group cognition / Gerry Stahl, Drexel University. - 1 online resource (xix, 270 pages) - Learning in doing: social, cognitive, and computational perspectives . - Learning in doing. .
Includes bibliographical references and index.
Introduction to the analysis -- Researching mathematical cognition -- Analyzing development of group cognition -- Session 1: the team develops collaboration practices -- Session 2: the team develops draggin 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 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.
9781316449738 (electronic bk.) 1316449734 (electronic bk.) 9781316422755 1316422755 1316448878 (ebk.) 9781316448878 (ebk.) (hardcover alkaline paper) (hardcover alkaline paper)
4498775 Proquest Ebook Central
Geometry--Study and teaching (Middle school)
Middle school education.
Middle school students.
Mathematical ability.
Géométrie--Étude et enseignement (École moyenne)
Enseignement moyen.
Élèves d'école moyenne.
Aptitude pour les mathématiques.
MATHEMATICS--Geometry--General.
Geometry--Study and teaching (Middle school)
Mathematical ability.
Middle school education.
Middle school students.
Electronic books.
Electronic books.
QA461 / .S73 2016eb
516.0071/2
Constructing dynamic triangles together : the development of mathematical group cognition / Gerry Stahl, Drexel University. - 1 online resource (xix, 270 pages) - Learning in doing: social, cognitive, and computational perspectives . - Learning in doing. .
Includes bibliographical references and index.
Introduction to the analysis -- Researching mathematical cognition -- Analyzing development of group cognition -- Session 1: the team develops collaboration practices -- Session 2: the team develops draggin 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 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.
9781316449738 (electronic bk.) 1316449734 (electronic bk.) 9781316422755 1316422755 1316448878 (ebk.) 9781316448878 (ebk.) (hardcover alkaline paper) (hardcover alkaline paper)
4498775 Proquest Ebook Central
Geometry--Study and teaching (Middle school)
Middle school education.
Middle school students.
Mathematical ability.
Géométrie--Étude et enseignement (École moyenne)
Enseignement moyen.
Élèves d'école moyenne.
Aptitude pour les mathématiques.
MATHEMATICS--Geometry--General.
Geometry--Study and teaching (Middle school)
Mathematical ability.
Middle school education.
Middle school students.
Electronic books.
Electronic books.
QA461 / .S73 2016eb
516.0071/2