[Maths-Education] Re: patterns using a continuous variable?

[Kate Mackrell]

Thanks, Walter.  Yes, that might be connected - would love to see your data when you get it.

The sort of thing I'm looking for I imagined might appear in simple modelling tasks (or more complex modelling tasks such as the Popcorn box - or Maxbox to the Brits) as a focus on the formulation phase - but, to my surprise, I haven't been able to locate anything in the modelling literature.

Kate
On 2011-07-07, at 6:31 PM, Walter Whiteley wrote:

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> Kate
> 	Does my work on working on geometric patterns for  rate of change and optimization through the PopCorn Box (paper to appear the Mathematics Teacher) fit this genre?
> 	I have worked with that material with groups ranging from Grade 9 students through university students to teachers and mathematics educators.  I recently developed a larger sequence (extending the conceptual blending) which I will be piloting in a professional development workshop at the end of August (and hope to collect more data on).
> 
> Walter Whiteley
> 
> On 7-Jul-11, at 4:42 PM, Kate Mackrell wrote:
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>> There seems to be lots and lots of research concerning pattern tasks using tiles or similar, where the total number of tiles of various types has a relationship to the number in the sequence.
>> 
>> Does anyone know of any research using similar patterns, but with a continuous variable, where, say, the area of the configuration is related to a particular length in the configuration?
>> 
>> Thanks
>> 
>> Kate
>> 
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