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Abductive Reasoning in Mathematics Education: Approaches to and Theorisations of a Complex Idea

There is a growing literature on the importance of abductive reasoning in mathematics education. However, there are some important variations in what exactly is referred to as ‘abductive reasoning’. This article identifies key theorisations of abductive reasoning in the work of Peirce, Habermas and Eco, as well as describing different approaches to abductive reasoning found the mathematics education literature. A framework in which the different approaches taken in the research literature can be placed and compared is proposed.