Inproceedings,

Forms and uses of abduction

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Proceedings of the CERME, 3, (2003)

Abstract

This paper offers first steps towards a typology of forms and uses of abductive reasoning in mathematics education. It organises several descriptions of abductive reasoning found in the literature in terms of their logical forms, the relation between specifics and generalities found in them, and the uses suggested for abductive reasoning. Examples are then given of abductive reasoning in mathematics classrooms, and these examples are described making use of the typology developed.

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