Re: [IAEP] Factorisation visualisation was Sugar Digest 2013-01-25
To: sthom...@gosargon.com From: fors...@ozonline.com.au Date: Sun, 27 Jan 2013 16:44:51 +1100 CC: iaep@lists.sugarlabs.org; sugar-de...@lists.sugarlabs.org Subject: [IAEP] Factorisation visualisation was Sugar Digest 2013-01-25 http://www.datapointed.net/visualizations/math/factorization/animated-diagrams/ Beautiful, thanks for sharing. If anyone does code this up, please allow for stepping (rather than playing) and allow kids to enter numbers and factors, so they can guess and look for patterns. Or kids could create their own versions in Turtle Art or Etoys as part of a lesson. Hi Clunky but working in Turtle Art at http://wiki.sugarlabs.org/go/File:Turtle_Art_factors.ta Its limited to 3 factors, I couldn't see any way to have an arbitary number of factors without recursion and I couldn't see any way to get recursion in Turtle Art Good! I change the .ta to this automatic version that begins in 1 and continues.. see .ta attached.. Tony ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep Turtle_Art_factors_automatic.ta Description: Binary data ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
Re: [IAEP] Factorisation visualisation was Sugar Digest 2013-01-25
Alan even better thanks Tony I change the .ta to this automatic version that begins in 1 and continues.. see .ta attached.. ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
Re: [IAEP] Factorisation visualisation was Sugar Digest 2013-01-25
You can't do functions with arguments in Turtle Art, and so obviously you can't do full recursion with stacked and shadowed arguments directly in Turtle Art, but you can implement much of recursion in any of the usual ways using the push and pop stack blocks or other dodges. Have a look at the fractal examples in the library. Or you could call Python to create a list to store partial results in. The case of tail recursion, where none of the recursive calls have to return because the recursive call is the last statement in the function, is easy. In pseudocode, with handwaving of some details that I leave as exercises, Set count to 0 Give variable n a positive integer value. Factorize If n=1, end ElseIf n is prime, push n; increment count Else find a factor m of n, and push that factor; increment count Factorize n/m ShowResult while count0 print pop m decrement count Of course in Logo you have full recursion. In the Etoys version of Turtle Art, you can use recursion in Smalltalk. On Sun, January 27, 2013 3:14 am, Alan Jhonn Aguiar Schwyn wrote: To: sthom...@gosargon.com From: fors...@ozonline.com.au Date: Sun, 27 Jan 2013 16:44:51 +1100 CC: iaep@lists.sugarlabs.org; sugar-de...@lists.sugarlabs.org Subject: [IAEP] Factorisation visualisation was Sugar Digest 2013-01-25 http://www.datapointed.net/visualizations/math/factorization/animated-diagrams/ Beautiful, thanks for sharing. If anyone does code this up, please allow for stepping (rather than playing) and allow kids to enter numbers and factors, so they can guess and look for patterns. Or kids could create their own versions in Turtle Art or Etoys as part of a lesson. Hi Clunky but working in Turtle Art at http://wiki.sugarlabs.org/go/File:Turtle_Art_factors.ta Its limited to 3 factors, I couldn't see any way to have an arbitary number of factors without recursion and I couldn't see any way to get recursion in Turtle Art Good! I change the .ta to this automatic version that begins in 1 and continues.. see .ta attached.. Tony -- Edward Mokurai (默雷/निशब्दगर्ज/نشبدگرج) Cherlin Silent Thunder is my name, and Children are my nation. The Cosmos is my dwelling place, the Truth my destination. http://wiki.sugarlabs.org/go/Replacing_Textbooks ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
[IAEP] Factorisation visualisation was Sugar Digest 2013-01-25
http://www.datapointed.net/visualizations/math/factorization/animated-diagrams/ Beautiful, thanks for sharing. If anyone does code this up, please allow for stepping (rather than playing) and allow kids to enter numbers and factors, so they can guess and look for patterns. Or kids could create their own versions in Turtle Art or Etoys as part of a lesson. Hi Clunky but working in Turtle Art at http://wiki.sugarlabs.org/go/File:Turtle_Art_factors.ta Its limited to 3 factors, I couldn't see any way to have an arbitary number of factors without recursion and I couldn't see any way to get recursion in Turtle Art Tony ___ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep
