East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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LOGO와 함께 곡선 만들기 - 다각형 패턴의 관점에서

  • Kim, Hwa-Kyung (Department of Mathematics Education Sangmyung University) ;
  • Song, Min-Ho (Department of Mathematics Education Seoul National University)
  • Received : 20100100
  • Accepted : 20100200
  • Published : 2010.08.31
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Abstract

Papert [17] introduced the LOGO environment in which we make a curve using LOGO commands (FORWARD, ROTATE). We call this geometry as turtle geometry. This environment has influenced many researchers and designers of computers and mathematics education. But the curve that we can make using LOGO command is elementary or too difficult. Polygon and circle is elementary and making other curves is difficult. In this paper, we introduce the method of drawing some other curves mediating new command. First, we study epicycloid and hypocycloid in the historical and the physical context. And we introduce the method of making epicycloid and hypocycloid using vector addition. Next we study the polygon patterns of this curve. Finally, we extend the method for making more general curve and we improve the computer environment using this metaphor.

Keywords

References

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