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 tea...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY :
Cambridge University Press,
2016.
|
Schriftenreihe: | Learning in doing.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | 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. |
Beschreibung: | 1 online resource (xix, 270 pages) |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781316449738 1316449734 9781316422755 1316422755 1316448878 9781316448878 |
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588 | 0 | |a Print version record. | |
520 | |a 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. | ||
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any_adam_object | |
author | Stahl, Gerry |
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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 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. |
ctrlnum | (OCoLC)928893104 |
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dewey-tens | 510 - Mathematics |
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spelling | Stahl, Gerry, author. Constructing dynamic triangles together : the development of mathematical group cognition / Gerry Stahl, Drexel University. New York, NY : Cambridge University Press, 2016. ©2016 1 online resource (xix, 270 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Learning in doing: social, cognitive, and computational perspectives 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. Print version record. 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. Geometry Study and teaching (Middle school) Middle school education. http://id.loc.gov/authorities/subjects/sh98000535 Middle school students. http://id.loc.gov/authorities/subjects/sh90001275 Mathematical ability. http://id.loc.gov/authorities/subjects/sh85082114 Géométrie Étude et enseignement (École moyenne) Enseignement moyen. Élèves d'école moyenne. Aptitude pour les mathématiques. MATHEMATICS Geometry General. bisacsh Matemáticas Estudio y enseñanza embne Geometry Study and teaching (Middle school) fast Mathematical ability fast Middle school education fast Middle school students fast Electronic books. has work: Constructing dynamic triangles together (Text) https://id.oclc.org/worldcat/entity/E39PCGCHGQPpr4ttrTMPbPy3DC https://id.oclc.org/worldcat/ontology/hasWork Print version: Stahl, Gerry. Constructing dynamic triangles together. New York, NY : Cambridge University Press, 2016 9781107127913 (DLC) 2015024940 (OCoLC)918940666 Learning in doing. http://id.loc.gov/authorities/names/n86724605 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1093114 Volltext |
spellingShingle | Stahl, Gerry Constructing dynamic triangles together : the development of mathematical group cognition / Learning in doing. 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. Geometry Study and teaching (Middle school) Middle school education. http://id.loc.gov/authorities/subjects/sh98000535 Middle school students. http://id.loc.gov/authorities/subjects/sh90001275 Mathematical ability. http://id.loc.gov/authorities/subjects/sh85082114 Géométrie Étude et enseignement (École moyenne) Enseignement moyen. Élèves d'école moyenne. Aptitude pour les mathématiques. MATHEMATICS Geometry General. bisacsh Matemáticas Estudio y enseñanza embne Geometry Study and teaching (Middle school) fast Mathematical ability fast Middle school education fast Middle school students fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh98000535 http://id.loc.gov/authorities/subjects/sh90001275 http://id.loc.gov/authorities/subjects/sh85082114 |
title | Constructing dynamic triangles together : the development of mathematical group cognition / |
title_auth | Constructing dynamic triangles together : the development of mathematical group cognition / |
title_exact_search | Constructing dynamic triangles together : the development of mathematical group cognition / |
title_full | Constructing dynamic triangles together : the development of mathematical group cognition / Gerry Stahl, Drexel University. |
title_fullStr | Constructing dynamic triangles together : the development of mathematical group cognition / Gerry Stahl, Drexel University. |
title_full_unstemmed | Constructing dynamic triangles together : the development of mathematical group cognition / Gerry Stahl, Drexel University. |
title_short | Constructing dynamic triangles together : |
title_sort | constructing dynamic triangles together the development of mathematical group cognition |
title_sub | the development of mathematical group cognition / |
topic | Geometry Study and teaching (Middle school) Middle school education. http://id.loc.gov/authorities/subjects/sh98000535 Middle school students. http://id.loc.gov/authorities/subjects/sh90001275 Mathematical ability. http://id.loc.gov/authorities/subjects/sh85082114 Géométrie Étude et enseignement (École moyenne) Enseignement moyen. Élèves d'école moyenne. Aptitude pour les mathématiques. MATHEMATICS Geometry General. bisacsh Matemáticas Estudio y enseñanza embne Geometry Study and teaching (Middle school) fast Mathematical ability fast Middle school education fast Middle school students fast |
topic_facet | 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. Matemáticas Estudio y enseñanza Mathematical ability Middle school education Middle school students Electronic books. |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1093114 |
work_keys_str_mv | AT stahlgerry constructingdynamictrianglestogetherthedevelopmentofmathematicalgroupcognition |