Creating a context for argument in mathematics class

Evidence shows that class discussion is important in students' development of mathematical conceptions. Theoretically, the process of contradiction and resolution is central to the transformation of thought. This article is a report of an 18-month investigation of a teacher's actions during class discussions in a 2nd-grade classroom in which students' disagreement was resolved by argumentation. Although the teacher valued children's reports of their reasoning, the context of argument in discussion was characterized by the high priority she afforded their roles as critical listeners. Her sensitivity in communicating her expectations for students' participation was evident during both discussion and disagreement. Moreover, the teacher participated with the students to create patterns of interaction and discourse that enabled children to shift their cognitive attention from making social sense to making sense of their mathematical experiences.

[1]  T. Wood,et al.  Deepening the Analysis: Longitudinal Assessment of a Problem-Centered Mathematics Program , 1997 .

[2]  R. Linn,et al.  Qualitative methods in research on teaching , 1985 .

[3]  B. Rogoff Apprenticeship in Thinking: Cognitive Development in Social Context , 1990 .

[4]  David W. Carraher,et al.  Mathematics in the streets and in schools , 1985 .

[5]  Denis Newman,et al.  The Construction Zone: Working for Cognitive Change in School , 1989 .

[6]  J. Bruner The Culture of Education , 1996 .

[7]  Keith Devlin,et al.  Mathematics, the science of patterns : the search for order in life, mind, and the universe , 1994 .

[8]  G. Wheatley,et al.  Children's Initial Understandings of Ten. , 1988 .

[9]  Götz Krummheuer The ethnography of argumentation. , 1995 .

[10]  David R. Olson,et al.  Modes of thought : explorations in culture and cognition , 1996 .

[11]  H. Garfinkel Studies in Ethnomethodology , 1968 .

[12]  D. Kuhn Thinking as Argument , 1992 .

[13]  T. Wood Rethinking Elementary School Mathematics: Insights and Issues , 1993 .

[14]  H. Blumer,et al.  Symbolic Interactionism: Perspective and Method , 1988 .

[15]  Jere Confrey,et al.  A Theory of Intellectual Development: Part 1. , 1994 .

[16]  C. Antaki Explaining and Arguing: The Social Organization of Accounts , 1994 .

[17]  P. Cobb,et al.  Characteristics of Classroom Mathematics Traditions: An Interactional Analysis , 1992 .

[18]  A. Strauss,et al.  The discovery of grounded theory: strategies for qualitative research aldine de gruyter , 1968 .

[19]  E. Goffman The Presentation of Self in Everyday Life , 1959 .

[20]  T. Wood Events in learning mathematics: Insights from research in classrooms , 1996 .

[21]  Frederick Erickson,et al.  SOME APPROACHES TO INQUIRY IN SCHOOL‐COMMUNITY ETHNOGRAPHY , 1977 .

[22]  J. Piaget Adaptation and Intelligence: Organic Selection and Phenocopy , 1980 .

[23]  Ed Labinowicz Learning from children : new beginnings for teaching numerical thinking : a Piagetian approach / Ed Labinowicz , 1985 .