Young Peoples' Ideas of Infinity |
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| Authors: | John Monaghan |
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| Institution: | (1) University of Leeds, Centre for Studies in Science and Mathematics Education, University of Leeds, Leeds, LS2 9JT, UK |
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| Abstract: | This paper considers views of infinity of young people prior to instruction in the methods mathematicians use in dealing with
infinity. To avoid overlap with other papers in this special issue on infinity, reference to limit notions and Cantorian views
of infinity are kept to the minimum. A partially historical account of studies examining young peoples' ideas of infinity
is presented. Methodological problems in accessing such ideas is a sub-theme of this paper. The four main sections deal with:
potential pitfalls for research in this area and the work of Piaget; issues concerning the contradictory nature of infinity
and infinity as a process and as a object; infinite numbers; contexts and tasks.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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| Keywords: | infinity pre-university research methods |
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