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Some links between turtle geometry and analytic geometry

Authors: Rowe, Neil C.;

Some links between turtle geometry and analytic geometry

Abstract

The computer language Logo facilitates the teaching of analytic geometry and calculus from the notion of curvature, through its turtle geometry facility. The author provides some theoretical basis for finding turtle geometry equivalents of familiar curves in analytic geometry, and vice versa, by some simple methods apparently previously unnoticed. In particular, he studied turtle geometry programs where the curvature of a line is a trigonometric function of its orientation. (Author)

Approved for public release; distribution is unlimited.

http://archive.org/details/somelinksbetween00rowe

Prepared for: Chief of Naval Research

Keywords

Education, calculus, analytic g3eometry, turtle geometry, Logo, computer languages, curvature, polygons, conic sections, cycloid, spiral, catenary, active learning, computers in education., COMPUTER SCIENCE.

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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