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Geoboard


Geoboard

A board covered by a lattice of pegs around which one can span rubber bands to form segments and polygons. It was invented by the Egyptian mathematician and pedagogist Caleb Gattegno (1911-1988) as a manipulative tool for teaching elementary geometry in schools.

The applications range from the comparison of shapes to the arithmetic computation of areas (e.g., Pick's theorem), and the study of transformations in the plane.


See also

Grid, Point Lattice

This entry contributed by Margherita Barile

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References

Austin, J. D. "Right Isosceles Triangles on the Geoboard." Math. Teacher 72, 24-27, 1979.Bogomolny, A. "Geoboard." http://cut-the-knot.org/Curriculum/Geometry/Geoboard.shtml.Dixon, J. and Watkinson, R. "The Investigating Experience--Rectangles with Pentominoes. A Geoboard Investigation." Math. Sch. 27, 22-24, 1998.Evans, P. "Polygons on a Geoboard." Math. Teaching 97, 24-27, 1981.Gutierrez, A. and Fernandez, A. "Plane Isometries in a Moving Geoboard." Math. Sch. 14, 2-4, 1985.Lamphere, P. "Investigations: Geoboard Patterns and Figures." Teaching Children Mathematics 1, 282-286, 1995.L'Heureux, J. E. "Sum Squares on a Geoboard Revisited." Math. Teacher 75, 686-692, 1982.McDowell, E. and Kennedy, J. "Geoboard Quadrilaterals." Math. Teacher 91, 288-290, 1998.Naraine, B. "Activities--If Pythagoras had a Geoboard." Math. Teacher 86, 137-140, 145-148, 1993.Schweers, R. R. and McNerney, C. R. "Integer Constructibility on the Geoboard." Sch. Sci. Math 81, 227-235, 1981.Smith, L. R. "Areas and Perimeters of Geoboard Polygons." Math. Teacher 83, 392-398, 1990.Speck, R. A. "The Number of Squares on a Geoboard." School Sci. Math. 79, 145-150, 1979.Strom, B. L. and Klein, J. S. "The Geoboard. An Investigation Into Process." School Sci. Math. 79, 382-386, 1979.Utah State University. "National Library of Virtual Manipulatives for Interactive Geometry." http://nlvm.usu.edu/en/nav/frames_asid_277_g_1_t_3.html.

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Geoboard

Cite this as:

Barile, Margherita. "Geoboard." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Geoboard.html

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