Re: [IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)
Which brings us back to the point that symbolism is not the same as algebra. Maria Droujkova Maria, Can you please expand that point Lemke would, I think, argue that mathematics is a set of symbols for communicating with and thinking with http://www.schools.ash.org.au/litweb/page500.html METAMEDIA LITERACY: TRANSFORMING MEANINGS AND MEDIA one that is not typological like language but topological, a symbolic system for describing variation and relationship? Tony ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
Re: [IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)
On Tue, Feb 23, 2010 at 11:42, K. K. Subramaniam subb...@gmail.com 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 :-). It is easy to demonstrate what children are capable of, when you can see them do it. It is much harder to demonstrate what they are not capable of, or what some can do but not others, or what is dependent on development or prior experience. But consider this, from Piaget's Genetic Epistemology. This example, one we have studied quite thoroughly with many children, was first suggested to me by a mathematician friend who quoted it as the point of departure of his interest in mathematics. When he was a small child, he was counting pebbles one day; he lined them up in a row, counted them from left to right, and got ten. Then, just for fun, he counted them from right to left to see what number he would get, and was astonished that he got ten again. He put the pebbles in a circle and counted them, and once again there were ten. He went around the circle in the other way and got ten again. And no matter how he put the pebbles down, when he counted them, the number came to ten. He discovered here what is known in mathematics as commutativity, that is, the sum is independent of the order. But how did he discover this? Is this commutativity a property of the pebbles? It is true that the pebbles, as it were, let him arrange them in various ways; he could not have done the same thing with drops of water. So in this sense there was a physical aspect to his knowledge. But the order was not in the pebbles; it was he, the subject, who put the pebbles in a line and then in a circle. Moreover, the sum was not in the pebbles themselves; it was he who united them. The knowledge that this future mathematician discovered that day was drawn, then, not from the physical properties of the pebbles, but from the actions that he carried out on the pebbles. This knowledge is what I call logical mathematical knowledge and not physical knowledge. Concepts like product (a*b), square, square root, symbols to represent quantity and manipulating them will take some more time. The constructional technique adopted by Julia Nakajima is so beautiful because it uses growth instead of symbols. Can you give me a URL for that? See page 7 second last para of http://www.vpri.org/pdf/m2007007a_revolution.pdf I typed the name wrong :-(. The correct name is Julia Nishijima. Also see http://dobbse.net/thinair/2008/12/growth-and-polygons.html Subbu -- Edward Mokurai (默雷/धर्ममेघशब्दगर्ज/دھرممیگھشبدگر ج) Cherlin Silent Thunder is my name, and Children are my nation. The Cosmos is my dwelling place, the Truth my destination. http://www.earthtreasury.org/ ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
Re: [IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)
On 22.02.2010, at 08:50, fors...@ozonline.com.au wrote: Here is an SVG of the simplest proof of the Pythagorean theorem I know, by dissection of a large square into five pieces that fit together into two smaller squares side by side. Thanks Edward I did not notice that no rotations were required (silly me) Implemented in Turtle Art, not so hard. http://tonyforster.blogspot.com/2010/02/turtle-pythagoras.html That layout doesn't really convey the idea of the proof to me. This does: inline: 300px-Pythagorean_proof_(1).svg.png (from http://en.wikipedia.org/wiki/Mathematical_beauty) - Bert - ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
Re: [IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)
Here is an SVG of the simplest proof of the Pythagorean theorem I know, by dissection of a large square into five pieces that fit together into two smaller squares side by side. Thanks Edward Not an easy task to do in Game Maker because you would need to generate the triangles in both the initial and rotated views, that's heavy trig. Turtle Art may be able to generate rotated views of triangles by starting at a different initial heading, I'll think about it. May be easier in Etoys because it could handle the rotations of triangle objects. I think Scratch could handle the rotations too. Tony ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
Re: [IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)
Gustavo, At Fri, 19 Feb 2010 21:35:53 -0300, Gustavo Ibarra wrote: Hello everybody, I am trying to simulate the example Or This A^2+b^2=c^2 used by AK en the TED conference (8:44) but unfortunelly I am not arriving to the expected results. Does anybody know if the etoy project (I just need the example: A^2+b^2=c^2, not the complete presentation) is available in the web? Link TED - A powerful idea about ideas: http://www.ted.com/talks/alan_kay_shares_a_powerful_idea_about_ideas.html As Alan wrote, his version is just moving pieces around. You could create three squares in proper sizes, and four right triangles in the right size and try move them around. For some specific animating effect you would like to get... if you don't mind, perhaps you can upload your version somewhere so that we can take a look at it? -- Yoshiki ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
Re: [IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)
Sth to clariry my question: In the video that TED reproduces, during Pithagoras Theorem Alan stands out of focus, you can see the presentation in the screem only.So I don´t know if fugures are moved by a simulation (script) or byAlan Kay itselfThank GRACIAS Pato Acevedo!!! -- Forwarded message -- From: Patricio Acevedo patitoacev...@gmail.com Date: 2010/2/19 Subject: Pitagoras To: ibarr...@gmail.com http://patricioacevedo.blogspot.com/2008/09/teorema-de-pitagoras-con-dr-geoii.html Aunque creo lo que buscas está totalmente cubierto en este artículo de la revista linux magazine http://www.linux-magazine.es/issue/38/079-082_EducacionLM38.pdf On Fri, Feb 19, 2010 at 10:15 PM, Gustavo Ibarra ibarr...@gmail.com wrote: AlanThank you for your answer! I understand the presentation was created with the etoy itself( super powerpoint, with a morph ThreadNavigator) I wanted to know if the example pythagorean Theorem is an animation (a script that moves elements) done with etoy inside super powerpoint I will folow Yoshiki advises. Tank's Yoshiki On Fri, Feb 19, 2010 at 9:53 PM, Yoshiki Ohshima yosh...@vpri.org wrote: Gustavo, At Fri, 19 Feb 2010 21:35:53 -0300, Gustavo Ibarra wrote: Hello everybody, I am trying to simulate the example Or This A^2+b^2=c^2 used by AK en the TED conference (8:44) but unfortunelly I am not arriving to the expected results. Does anybody know if the etoy project (I just need the example: A^2+b^2=c^2, not the complete presentation) is available in the web? Link TED - A powerful idea about ideas: http://www.ted.com/talks/alan_kay_shares_a_powerful_idea_about_ideas.html As Alan wrote, his version is just moving pieces around. You could create three squares in proper sizes, and four right triangles in the right size and try move them around. For some specific animating effect you would like to get... if you don't mind, perhaps you can upload your version somewhere so that we can take a look at it? -- Yoshiki -- Saludos, Gustavo.- -- Saludos, Gustavo.- ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
Re: [IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)
Etoys itself *is* super Powerpoint. And, yes, all the animations for the Pythagorean Theorem demonstration were done using Etoys scripts. Cheers, Alan From: Gustavo Ibarra ibarr...@gmail.com To: Yoshiki Ohshima yosh...@vpri.org Cc: etoys-...@squeakland.org; IAEP SugarLabs iaep@lists.sugarlabs.org Sent: Fri, February 19, 2010 5:15:18 PM Subject: Re: [IAEP] [etoys-dev] TED - Alan Kay - Example(8:44) AlanThank you for your answer! I understand the presentation was created with the etoy itself( super powerpoint, with a morph ThreadNavigator) I wanted to know if the example pythagorean Theorem is an animation (a script that moves elements) done with etoy inside super powerpoint I will folow Yoshiki advises. Tank's Yoshiki On Fri, Feb 19, 2010 at 9:53 PM, Yoshiki Ohshima yosh...@vpri.org wrote: Gustavo, At Fri, 19 Feb 2010 21:35:53 -0300, Gustavo Ibarra wrote: Hello everybody, I am trying to simulate the example Or This A^2+b^2=c^2 used by AK en the TED conference (8:44) but unfortunelly I am not arriving to the expected results. Does anybody know if the etoy project (I just need the example: A^2+b^2=c^2, not the complete presentation) is available in the web? Link TED - A powerful idea about ideas: http://www.ted.com/talks/alan_kay_shares_a_powerful_idea_about_ideas.html As Alan wrote, his version is just moving pieces around. You could create three squares in proper sizes, and four right triangles in the right size and try move them around. For some specific animating effect you would like to get... if you don't mind, perhaps you can upload your version somewhere so that we can take a look at it? -- Yoshiki -- Saludos, Gustavo.- ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
[IAEP] [etoys-dev] TED - Alan Kay - Example(8:44)
Pythagoras video at http://www.youtube.com/watch?v=nTuAq5OeWhY could be done in Turtle Art or Etoys ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
