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D. DeTemple, S. Harold (1996)
A Round-Up of Square ProblemsMathematics Magazine, 69
G. Gamow (1947)
One, Two, Three...Infinity: Facts and Speculations of Science
A. Schoenfeld (1985)
Mathematical Problem Solving
G. Gamow (1972)
One Two Three... Infinity
Y. I. Lyúbich, L. A. Shor (1978)
Método cinemático en problemas geométricos
N. Jackiw (1995)
The Geometer's Sketchpad
G. Polya (1962)
Mathematical Discovery
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
"Technology, Knowledge and Learning" – Springer Journals
Published: Oct 5, 2004
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