Re-inventing maths problem design: using guided collaborative critique (GCC) in chat environments

Our research focused on the analysis of face-to-face (FTF) social interaction of groups working on maths problems using the GCC framework in traditional classroom setting. The GCC framework requires students to analyze maths problems with "solutions" that contained conceptual or oversight errors, critique these solutions with mathematical arguments, and finally fix the "solutions" collaboratively. In this study, the GCC framework is extended to the VMT chat medium which consists of a shared whiteboard, chat message box and tools for students to construct mathematical representations. The analyses of these sessions were based on the Collaboration Interaction Model (CIM), a model designed to study the knowledge construction process of complex chat transcripts. This paper will discuss how participants mediate shared understanding of mathematical representations and form mathematical arguments to construct new knowledge in the chat medium, using the CIM as the key instrument of analysis.

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

[2]  P. Campbell.  How to Solve It: A New Aspect of Mathematical Method , 2005 .

[3]  Angela Cora Garcia,et al.  The Interactional Organization of Computer Mediated Communication in the College Classroom , 1998 .

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

[5]  Christie Cathey,et al.  Power of Peer Review: An Online Collaborative Learning Assignment in Social Psychology , 2007 .

[6]  Robert M. Fano.  Computer-Mediated Communication , 1985, IEEE Technology and Society Magazine.

[7]  Ellen Christiansen,et al.  Making distance learning collaborative , 1995, CSCL.

[8]  J. Michael Spector,et al.  Handbook of Research on Educational Communications and Technology, 3rd Edition , 2012 .

[9]  Kathryn A. Verzoni.  Turning Students into Problem Solvers. , 1997 .

[10]  David H. Jonassen,et al.  Constructivism: Implications for the Design and Delivery of Instruction , 1996 .

[11]  Diana Laurillard,et al.  Rethinking University Teaching: A Conversational Framework for the Effective Use of Learning Technologies. 2nd Edition , 1993 .

[12]  J. Wertsch.  Vygotsky and the Social Formation of Mind , 1985 .

[13]  Linda M. Harasim,et al.  Online Education: Perspectives on a New Environment , 1990 .

[14]  G. Hanley.  e‐Learning and the Science of Instruction , 2004 .

[15]  Catherine Lewis,et al.  Lesson Study and Teachers Knowledge Development: Collaborative Critique of a Research Model and Methods. , 2003 .

[16]  Gerry Stahl,et al.  Diversity in virtual math teams , 2004 .

[17]  John T. E. Richardson,et al.  The impact of computer-mediated interaction on distance learning , 2007, Br. J. Educ. Technol..

[18]  M. Cole,et al.  Mind in society: The development of higher psychological processes. L. S. Vygotsky. , 1978 .

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