<html><head><style type="text/css"></style></head><body><div style="font-family:times new roman,new york,times,serif;font-size:12pt"><div>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.<br><br>Cheers,<br><br>Alan<br></div><div style="font-family: times new roman,new york,times,serif; font-size: 12pt;"><br><div style="font-family: times new roman,new york,times,serif; font-size: 12pt;"><font size="2" face="Tahoma"><hr size="1"><b><span style="font-weight: bold;">From:</span></b> Maria Droujkova <droujkova@gmail.com><br><b><span style="font-weight: bold;">To:</span></b> K. K. Subramaniam <subbukk@gmail.com><br><b><span style="font-weight: bold;">Cc:</span></b> iaep@lists.sugarlabs.org<br><b><span style="font-weight: bold;">Sent:</span></b> Tue, February 23, 2010 9:38:07 AM<br><b><span style="font-weight: bold;">Subject:</span></b> Re: [IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)<br></font><br> <br clear="all"><br><div class="gmail_quote">On Tue, Feb 23, 2010 at 11:42 AM, K. K. Subramaniam <span dir="ltr"><<a rel="nofollow" ymailto="mailto:subbukk@gmail.com" target="_blank" href="mailto:subbukk@gmail.com">subbukk@gmail.com</a>></span> wrote:<br><blockquote class="gmail_quote" style="border-left: 1px solid rgb(204, 204, 204); margin: 0pt 0pt 0pt 0.8ex; padding-left: 1ex;"> <div class="im">On Tuesday 23 February 2010 09:13:59 pm Edward Cherlin wrote:<br> >We also know that simply asking the question and making careful observations<br> >also gives astonishing results, as, for example, in the careers of Maria<br> >Montessori and Jean Piaget. Also Jerome Bruner<br> </div>Yes. But these people followed the child. Jean Piaget discovered that children<br> in the 2-7 age group do not comprehend conservation of quantity or use logical<br> thinking. Children don't come with fast forward buttons :-).<br></blockquote><div><br>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.<br> <br>Cheers,<br>Maria Droujkova<br><span><a target="_blank" href="http://www.naturalmath.com">http://www.naturalmath.com</a></span><br><br>Make math your own, to make your own math. </div></div> </div></div> </div><br> </body></html>