Yes. Jerome Bruner showed that very young children can reason logically but it 
is difficult for them to do so if overwhelmed by images that seem to indicate 
the contrary.

Cheers,

Alan




________________________________
From: Maria Droujkova <[email protected]>
To: K. K. Subramaniam <[email protected]>
Cc: [email protected]
Sent: Tue, February 23, 2010 9:38:07 AM
Subject: Re: [IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)




On Tue, Feb 23, 2010 at 11:42 AM, K. K. Subramaniam <[email protected]> wrote:

>
>On Tuesday 23 February 2010 09:13:59 pm Edward Cherlin wrote:
>>>We also know that simply asking the question and making careful observations
>>>also gives astonishing results, as, for example, in the careers of Maria
>>>Montessori and Jean Piaget. Also Jerome Bruner
>Yes. But these people followed the child. Jean Piaget discovered that children
>>in the 2-7 age group do not comprehend conservation of quantity or use logical
>>thinking. Children don't come with fast forward buttons :-).
>

There has been research done since then. Conservation of small quantities seems 
to be inborn, as it is present in the first days after birth. Piagetian 
experiments have been reconceptualized to be more about language structures 
than about conceptual structures. Which brings us back to the point that 
symbolism is not the same as algebra.

Cheers,
Maria Droujkova
http://www.naturalmath.com

Make 
math your own, to make your own math. 


      
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