From Measuring to Formal Demonstration Using Interactive Computational Geoboards and Recurrent Electronic Charts
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Authors
JCMST Volume 18, Number 2, 1999 ISSN 0731-9258
Abstract
The paper shows how the joint use of dynamic geometry program and a spreadsheet may provide a computational environment for exploring geometry on plane lattices that lessens the risk of developing a false empiricist view of mathematics often associated with the use of information technology. Based on the unique interrelation of Pick's and Euler's formulas for lattice polygons, activities were designed to promote the idea of formal demonstration in geometry through the use of computing technology. The paper reports on the use of the activities with preservice and inservice teachers enrolled in a technology-rich mathematics education course. Certain things fi rst became clear to me by a mechanical method, although they had to be demonstrated by geometry afterwards because their investigation by the said mechanical method did not furnish an actual demonstration. But it is of course easier, when the method has previously given us some knowledge of the questions, to supply the proof than it is to find it without any previous knowledge.
Citation
Abramovich, S. & Brown, G. (1999). From Measuring to Formal Demonstration Using Interactive Computational Geoboards and Recurrent Electronic Charts. Journal of Computers in Mathematics and Science Teaching, 18(2), 105-134. Charlottesville, VA: Association for the Advancement of Computing in Education (AACE). Retrieved March 19, 2024 from https://www.learntechlib.org/p/6560.
© 1999 AACE