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A Program to Interpolate (And Extrapolate) Between Turtle Programs

A Program to Interpolate (And Extrapolate) Between Turtle Programs Int J Comput Math Learning (2007) 12:255–262 DOI 10.1007/s10758-007-9120-4 A Program to Interpolate (And Extrapolate) Between Turtle Programs Ken Kahn Published online: 27 November 2007 Springer Science+Business Media B.V. 2007 1 From the Editor This column will publish short (from just a few paragraphs to 10 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 mathe- matics 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. This innovative snapshot by Ken Kahn demonstrates a computer program that takes two programs as input and outputs a third program that interpolates between the two programs. Each input program draws a geometric figure and the output program can produce, for varying values of a parameter, the first figure, the second figure or a figure in-between the two or an extrapolated figure beyond either one. The interpolated or extrapolated programs can be the basis of many playful and aesthetic explorations. A version of this snapshot was presented at the Bridges 2006 Conference. 2 Interpolating and Extrapolating Geometric Figures Imagine one had a http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Technology, Knowledge and Learning" Springer Journals

A Program to Interpolate (And Extrapolate) Between Turtle Programs

Kahn, Ken
"Technology, Knowledge and Learning" , Volume 12 (3) – Nov 27, 2007
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References (2)

Publisher
Springer Journals
Copyright
Copyright © 2007 by Springer Science+Business Media B.V.
Subject
Education; Learning and Instruction; Mathematics Education; Educational Technology; Science Education; Creativity and Arts Education
ISSN
2211-1662
eISSN
1573-1766
DOI
10.1007/s10758-007-9120-4
Publisher site
See Article on Publisher Site

Abstract

Int J Comput Math Learning (2007) 12:255–262 DOI 10.1007/s10758-007-9120-4 A Program to Interpolate (And Extrapolate) Between Turtle Programs Ken Kahn Published online: 27 November 2007 Springer Science+Business Media B.V. 2007 1 From the Editor This column will publish short (from just a few paragraphs to 10 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 mathe- matics 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. This innovative snapshot by Ken Kahn demonstrates a computer program that takes two programs as input and outputs a third program that interpolates between the two programs. Each input program draws a geometric figure and the output program can produce, for varying values of a parameter, the first figure, the second figure or a figure in-between the two or an extrapolated figure beyond either one. The interpolated or extrapolated programs can be the basis of many playful and aesthetic explorations. A version of this snapshot was presented at the Bridges 2006 Conference. 2 Interpolating and Extrapolating Geometric Figures Imagine one had a

Journal

"Technology, Knowledge and Learning" – Springer Journals

Published: Nov 27, 2007

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