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The Kinematic Method and the Geometer's Sketchpad in Geometrical Problems

The Kinematic Method and the Geometer's Sketchpad in Geometrical Problems ALFINIO FLORES THE KINEMATIC METHOD AND THE GEOMETER’S SKETCHPAD IN GEOMETRICAL PROBLEMS INTRODUCTION To solve geometric problems, sometimes it is useful to imagine how the elements of a figure will change as some of its elements move. To vary the data is one heuristic strategy emphasized by Polya (1962). The Geometer’s Sketchpad provides a very powerful aid to help students see how some of the elements change as the others are dragged. In some cases, as the figure is deformed, the relations between the velocities of variation of points and segments can help us see the relations between those elements. The capacity of the Sketchpad to trace the path of points by draw- ing the position of the point at different times, provides a powerful help to see how the velocities are related. In this paper the figures provide a snapshot of the process along with the traces to help the reader see what is meant. Of course, the best way to get a feeling is by actually moving points around. See Flores and Schaubling (1997) for a web site with the interactive figures. When the Trace option is on, as the selected point is dragged, the Sketchpad will http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Technology, Knowledge and Learning" Springer Journals

The Kinematic Method and the Geometer's Sketchpad in Geometrical Problems

"Technology, Knowledge and Learning" , Volume 3 (1) – Oct 5, 2004

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References (7)

Publisher
Springer Journals
Copyright
Copyright © 1998 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:1009745106229
Publisher site
See Article on Publisher Site

Abstract

ALFINIO FLORES THE KINEMATIC METHOD AND THE GEOMETER’S SKETCHPAD IN GEOMETRICAL PROBLEMS INTRODUCTION To solve geometric problems, sometimes it is useful to imagine how the elements of a figure will change as some of its elements move. To vary the data is one heuristic strategy emphasized by Polya (1962). The Geometer’s Sketchpad provides a very powerful aid to help students see how some of the elements change as the others are dragged. In some cases, as the figure is deformed, the relations between the velocities of variation of points and segments can help us see the relations between those elements. The capacity of the Sketchpad to trace the path of points by draw- ing the position of the point at different times, provides a powerful help to see how the velocities are related. In this paper the figures provide a snapshot of the process along with the traces to help the reader see what is meant. Of course, the best way to get a feeling is by actually moving points around. See Flores and Schaubling (1997) for a web site with the interactive figures. When the Trace option is on, as the selected point is dragged, the Sketchpad will

Journal

"Technology, Knowledge and Learning"Springer Journals

Published: Oct 5, 2004

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