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Representing Geometric Constructions As Programs: A Brief Exploration

Representing Geometric Constructions As Programs: A Brief Exploration COMPUTER MATH SNAPSHOTS REPRESENTING GEOMETRIC CONSTRUCTIONS AS PROGRAMS: A BRIEF EXPLORATION BRUCE SHERIN School of Education and Social Policy Northwestern University 2115 North Campus Drive Evanston, IL 60208, U.S.A. e-mail: bsherin@northwestern.edu This column will publish short (ranging from just a few paragraphs to ten or so pages), lively and intriguing computer-related mathematics vignettes. These vignettes or snapshots should illustrate ways in which computer environments have transformed the practice of mathematics or mathematics pedagogy. They could also include puzzles or brain teasers involving the use of computers or computational theory. Snapshots are subject to peer review. In this issue’s snapshot, Bruce Sherin presents a series of geometric constructions made in a Boxer programming environment enriched with a modest set of primitives. In reflecting on the resultant blended turtle geometric and dynamic geometry environment, he discusses the role and potential of programmable applications and the affordances of a programming representation of geometric concepts and other sub-domains of mathematics. Computer Math Snapshots Editor: Uri Wilensky Center for Connected Learning and Computer-Based Modeling Northwestern University, U.S.A. e-mail: uri@northwestern.edu INTRODUCTION In this snapshot, I pick up two research strands that have been prominent in the community that contributes to IJCML. The first strand is http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Technology, Knowledge and Learning" Springer Journals

Representing Geometric Constructions As Programs: A Brief Exploration

Sherin, Bruce
"Technology, Knowledge and Learning" , Volume 7 (1) – Oct 12, 2004
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Publisher
Springer Journals
Copyright
Copyright © 2002 by Kluwer Academic Publishers
Subject
Education; Learning and Instruction; Mathematics Education; Educational Technology; Science Education; Creativity and Arts Education
ISSN
2211-1662
eISSN
1573-1766
DOI
10.1023/A:1016047330286
Publisher site
See Article on Publisher Site

Abstract

COMPUTER MATH SNAPSHOTS REPRESENTING GEOMETRIC CONSTRUCTIONS AS PROGRAMS: A BRIEF EXPLORATION BRUCE SHERIN School of Education and Social Policy Northwestern University 2115 North Campus Drive Evanston, IL 60208, U.S.A. e-mail: bsherin@northwestern.edu This column will publish short (ranging from just a few paragraphs to ten or so pages), lively and intriguing computer-related mathematics vignettes. These vignettes or snapshots should illustrate ways in which computer environments have transformed the practice of mathematics or mathematics pedagogy. They could also include puzzles or brain teasers involving the use of computers or computational theory. Snapshots are subject to peer review. In this issue’s snapshot, Bruce Sherin presents a series of geometric constructions made in a Boxer programming environment enriched with a modest set of primitives. In reflecting on the resultant blended turtle geometric and dynamic geometry environment, he discusses the role and potential of programmable applications and the affordances of a programming representation of geometric concepts and other sub-domains of mathematics. Computer Math Snapshots Editor: Uri Wilensky Center for Connected Learning and Computer-Based Modeling Northwestern University, U.S.A. e-mail: uri@northwestern.edu INTRODUCTION In this snapshot, I pick up two research strands that have been prominent in the community that contributes to IJCML. The first strand is

Journal

"Technology, Knowledge and Learning" – Springer Journals

Published: Oct 12, 2004

References

  • TurtleGeometry
    Abelson, H.; diSessa, A.A.
  • An overview of Boxer
    diSessa, A.A.; Abelson, H.; Ploger, D.
  • TheGeometer's Sketchpad (Version 4.0) [Computer Software]
    Jackiw, N.
  • Integrating Information Technology into Education
    Laborde, C.; Laborde, J.M.
  • Mindstorms
    Papert, S.
  • Logo Math: Tools andGames, a Comprehensive Computer Environment to Enhance the Discovery-based Learning of Secondary School Mathematics
    Picciotto, H.