A Model for Analyzing Math Knowledge Building in VMT

This work describes a methodology for analyzing the social construction of mathematical knowledge within a chat environment like VMT. It proposes a model for representing the flow of discourse by linking contributions based on information uptake. A framework for analysis using the model is designed to represent: (1) the co-construction and manipulation of mathematical representations and artifacts such as symbols, concepts, math formulas and linguistic expressions; (2) segmentations that identify critical boundaries during chat interactions; (3) meaning-making paths intertwining through series of uptakes; (4) pivotal moments during interactions influencing the direction of the discourse and (5) elements of the model for educators to apply in understanding the learning of mathematics by groups. The long-term goal behind this research is to develop a structure for analyzing online collaborative math learning. More specifically, this methodology seeks to contribute to a holistic approach to understanding the process of meaning-making embedded in interactions among chat postings. We discuss this methodology in the context of data collected in VMT from small groups of junior-college students solving mathematics problems using three different types of problem design.

[1]  Chee-Kit Looi,et al.  Incorporating Online Discussion in Face to Face Classroom Learning: A New Blended Learning Approach. , 2007 .

[2]  David H. Jonassen,et al.  Learning with Technology: A Constructivist Perspective , 1998 .

[3]  Juan Dee Wee,et al.  Mathematical Knowledge Construction through the use of Guided Collaborative Critique in a Quasi-Synchronous Chat Environment , 2007 .

[4]  E. Schegloff,et al.  A simplest systematics for the organization of turn-taking for conversation , 1974 .

[5]  Wolff‐Michael Roth,et al.  Making a Scientist: Discursive "Doing" of Identity and Self-Presentation During Research Interviews , 2004 .

[6]  A. C. Baker,et al.  Conversational Learning: An Experiential Approach to Knowledge Creation , 2002 .

[7]  G. Stahl.  Rediscovering CSCL , 2001 .

[8]  L. Suchman,et al.  Interactional Troubles in Face-to-Face Survey Interviews , 1990 .

[9]  Tammy Schellens,et al.  Content analysis schemes to analyze transcripts of online asynchronous discussion groups: A review , 2006, Comput. Educ..

[10]  M. Chi.  Quantifying Qualitative Analyses of Verbal Data: A Practical Guide , 1997 .

[11]  Daniel D. Suthers,et al.  Collaborative Knowledge Construction through Shared Representations , 2005, Proceedings of the 38th Annual Hawaii International Conference on System Sciences.

[12]  C.H.E. Kwakman,et al.  Conversational learning. An experiential approach to knowledge creation , 2004 .

[14]  Angela Cora Garcia,et al.  The Eyes of the Beholder: Understanding the Turn-Taking System in Quasi-Synchronous Computer-Mediated Communication , 1999 .

[15]  Stanley Wasserman,et al.  Social Network Analysis: Methods and Applications , 1994, Structural analysis in the social sciences.

[16]  Martyn Hammersley,et al.  Recent Radical Criticism of Interview Studies: Any implications for the sociology of education? , 2003 .

[17]  Daniel D. Suthers,et al.  A Qualitative Analysis of Collaborative Knowledge Construction through Shared Representations , 2006, Res. Pract. Technol. Enhanc. Learn..

[18]  Jacki O'Neill,et al.  Text chat in action , 2003, GROUP.

[19]  R. Sawyer.  The Cambridge Handbook of the Learning Sciences: Introduction , 2014 .

[20]  Austin Henderson,et al.  Interaction Analysis: Foundations and Practice , 1995 .

[21]  D. Garrison,et al.  Assessing Social Presence In Asynchronous Text-based Computer Conferencing , 1999 .

[22]  Daniel D. Suthers,et al.  Technology affordances for intersubjective meaning making: A research agenda for CSCL , 2006, Int. J. Comput. Support. Collab. Learn..

[23]  Carlos Caldeira,et al.  Group Cognition: Computer Support for Building Collaborative Knowledge (Acting with Technology) , 2006 .

[24]  Jeffery Pittam,et al.  First Things First: Internet Relay Chat Openings , 2006, J. Comput. Mediat. Commun..

[25]  J. Chatwin.  Conversation analysis. , 2004, Complementary therapies in medicine.

[26]  Allan Jeong.  The Sequential Analysis of Group Interaction and Critical Thinking in Online , 2003 .

[27]  Charlotte N. Gunawardena,et al.  Analysis of a Global Online Debate and the Development of an Interaction Analysis Model for Examining Social Construction of Knowledge in Computer Conferencing , 1997 .

[28]  John Scott.  Social Network Analysis , 1988 .

[29]  A. Collins,et al.  Situated Cognition and the Culture of Learning , 1989 .