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Qualities of examples in learning and teaching

Abstract:

In this paper, we theorise about the different kinds of relationship between examples and the classes of mathematical objects that they exemplify as they arise in mathematical activity and teaching. We ground our theorising in direct experience of creating a polynomial that fits certain constraints to develop our understanding of engagement with examples. We then relate insights about exemplification arising from this experience to a sequence of lessons. Through these cases, we indicate the v...

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Publisher copy:
10.1007/s11858-010-0301-6
Journal:
ZDM - International Journal on Mathematics Education More from this journal
Volume:
43
Issue:
2
Pages:
283-294
Publication date:
2011-01-01
DOI:
EISSN:
1863-9704
ISSN:
1863-9690
Language:
English
Keywords:
Pubs id:
pubs:356726
UUID:
uuid:faed4d6a-0f78-4e13-bce2-5c557d10277c
Local pid:
pubs:356726
Source identifiers:
356726
Deposit date:
2015-02-25

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