Discussion: Keynote Part 1

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posted by: Anne Collins on May 13, 2003 at 11:55AM
subject: Student definitions of even numbers
The first two descriptions/definitions make sense in the context of
grouping or sharing. The third definition is problematic in that it
assumes the first value on the number line is either 0 or an even
number. I think that this student could be prodded to check his
'conjecture' to be sure it always works and if not to revise the
'conjecture' so that it does always work.
This example as well as the previous ones speak to the importance of
having students make conjectures, test them, and revise them as they
work to make sense of the mathematics.
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