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  1. International Journal of Computers for Mathematical Learning
  2. International Journal of Computers for Mathematical Learning : Volume 11
  3. International Journal of Computers for Mathematical Learning : Volume 11, Issue 2, October 2006
  4. Programming in Polygon R&D: Explorations with a Spatial Language II
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International Journal of Computers for Mathematical Learning : Volume 22
International Journal of Computers for Mathematical Learning : Volume 21
International Journal of Computers for Mathematical Learning : Volume 20
International Journal of Computers for Mathematical Learning : Volume 19
International Journal of Computers for Mathematical Learning : Volume 18
International Journal of Computers for Mathematical Learning : Volume 17
International Journal of Computers for Mathematical Learning : Volume 16
International Journal of Computers for Mathematical Learning : Volume 15
International Journal of Computers for Mathematical Learning : Volume 14
International Journal of Computers for Mathematical Learning : Volume 13
International Journal of Computers for Mathematical Learning : Volume 12
International Journal of Computers for Mathematical Learning : Volume 11
International Journal of Computers for Mathematical Learning : Volume 11, Issue 3, October 2006
International Journal of Computers for Mathematical Learning : Volume 11, Issue 2, October 2006
Programming in Polygon R&D: Explorations with a Spatial Language II
A coloured window on pre-service teachers’ conceptions of rational numbers
The Co-Emergence of Machine Techniques, Paper-and-Pencil Techniques, and Theoretical Reflection: A Study of Cas use in Secondary School Algebra
Icmi awards the 2005 felix klein and hans freudenthal medals
International Journal of Computers for Mathematical Learning : Volume 11, Issue 1, April 2006
International Journal of Computers for Mathematical Learning : Volume 10
International Journal of Computers for Mathematical Learning : Volume 9
International Journal of Computers for Mathematical Learning : Volume 8
International Journal of Computers for Mathematical Learning : Volume 7
International Journal of Computers for Mathematical Learning : Volume 6
International Journal of Computers for Mathematical Learning : Volume 5
International Journal of Computers for Mathematical Learning : Volume 4
International Journal of Computers for Mathematical Learning : Volume 3
International Journal of Computers for Mathematical Learning : Volume 2
International Journal of Computers for Mathematical Learning : Volume 1

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Programming in Polygon R&D: Explorations with a Spatial Language II

Content Provider Springer Nature Link
Author Morey, Jim
Copyright Year 2006
Abstract This paper introduces the language associated with a polygon microworld called PolygonR&D, which has the mathematical crispness of Logo and has the discreteness and simplicity of a Turing machine. In this microworld, polygons serve two purposes: as agents (similar to the turtles in Logo), and as data (landmarks in the plane). Programming the spatial behaviour of polygon agents is achieved by a simple variable-free language. Although limited in the number of instructions, the language allows for complex outcomes such as creation of sophisticated tilings, algorithm visualization, simulations, and even numerical computation. The ease of constructing the variety of examples shown in this paper indicates the microworld’s potential in both secondary and post-secondary education.
Starting Page 147
Ending Page 175
Page Count 29
File Format PDF
ISSN 13823892
Journal International Journal of Computers for Mathematical Learning
Volume Number 11
Issue Number 2
e-ISSN 15731766
Language English
Publisher Kluwer Academic Publishers
Publisher Date 2006-08-02
Publisher Place Dordrecht
Access Restriction Subscribed
Subject Keyword algorithm visualization decentralized microworld Logo tiling Turing machine Mathematics Interdisciplinary Studies Mathematics Education
Content Type Text
Resource Type Article
Subject Theoretical Computer Science Engineering Computational Theory and Mathematics Computer Science Applications
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