Hedges in mathematics talk: Linguistic pointers to uncertainty

Analysis of transcripts of interviews with children aged 10 to 12, focused on a mathematical task designed to provoke prediction and generalisation, reveals a category of words (called hedges) associated with uncertainty. It is argued that these words — examples includeabout, around, maybe, think — are frequently deployed as a ‘Shield’ against accusation of error. The analysis draws on linguistic frameworks for categorising types of hedge, and for a theoretical account of how they might succeed in conveying uncertainty to listeners.

[1]  Eleni Leontaridi,et al.  The study of language in its social context , 1996 .

[2]  A. Avramides Studies in the Way of Words , 1992 .

[3]  John Gibson. Clayton,et al.  Estimation in schools. , 1993 .

[4]  J. Mason Learning and Doing Mathematics , 1996 .

[5]  Paul Cobb,et al.  Interaction and learning in mathematics classroom situations , 1992 .

[6]  Joanna Channell More on approximations: A reply to Wachtel , 1980 .

[7]  Herbert P. Ginsburg,et al.  The Clinical Interview in Psychological Research on Mathematical Thinking: Aims, Rationales, Techniques. , 1981 .

[8]  Michael Stubbs,et al.  ‘A Matter of Prolonged Field Work‘: Notes Towards a Modal Grammar of English1 , 1986 .

[9]  David Pimm,et al.  Generic examples: Seeing the general in the particular , 1984 .

[10]  Robert J. Fogelin,et al.  Studies in the Way of Words. , 1991 .

[11]  Diane Brockway,et al.  Semantic constraints on relevance , 1981 .

[12]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[13]  George Lakoff,et al.  Hedges: A study in meaning criteria and the logic of fuzzy concepts , 1973, J. Philos. Log..

[14]  D. Over,et al.  Studies in the Way of Words. , 1989 .

[15]  Oscar H. IBARm Information and Control , 1957, Nature.

[16]  J. Bruner,et al.  The role of tutoring in problem solving. , 1976, Journal of child psychology and psychiatry, and allied disciplines.

[17]  George Lakoff,et al.  Hedges: A Study In Meaning Criteria And The Logic Of Fuzzy Concepts , 1973 .