[Maths-Education] use of counterexamples in primary classrooms

romlins at rc.unesp.br romlins at rc.unesp.br
Fri May 18 03:04:45 BST 2007


Dear Tim,

for some reason I got 'enchanted' by the clip on

http://youtube.com/watch?v=ieKTU94-BgI

If it is not propoerly what you were after, maybe it will give you ideas
(as it gave to me!).

all the best
Romulo

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> I'm interested in the use of examples in mathematics teaching, and have a
> collection of examples of such uses, especially in the teaching of
> concepts
> and procedures.
>
> What I don't have is much in the way of 'real' examples of the use of
> counterexamples in primary (say, grades K to 6) mathematics teaching. I'm
> looking for situation where someone makes a claim, or a conjecture, and a
> counterexample is offered (by the teacher, or by a student) intended to
> refute the claim. A case in point would be Chapter 4 of Liping Ma's
> 'Knowing and teaching elementary mathematics', where teachers offer
> counterexamples to refute a claim about a connection between perimeter and
> area. But that was an interview situation, whereas I'm looking for
> examples
> from 'live' classrooms.
>
> I'd be grateful if anyone would share an anecdote or recollection of such
> an example, with me or the list.
>
> Many thanks,
> Tim
> _______________________________
>
> Dr Tim Rowland
> Faculty of Education
> University of Cambridge
> 184 Hills Road
> Cambridge CB2 8PQ
> England
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