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几何板


Geoboard

一种板,上面覆盖着钉子网格,人们可以在钉子上拉伸橡皮筋以形成线段和多边形。它是由埃及数学家和教育家卡莱布·加特尼奥 (Caleb Gattegno) (1911-1988) 发明的,作为在学校教授初等几何的教具。

其应用范围从形状的比较到面积的算术计算(例如,Pick 定理),以及平面变换的研究。


另请参阅

网格, 点阵

此条目由 Margherita Barile 贡献

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参考文献

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.

在 中引用

几何板

引用为

Barile, Margherita. “几何板。” 来自 —— 资源,由 Eric W. Weisstein 创建。 https://mathworld.net.cn/Geoboard.html

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