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幾何板


Geoboard

一種板,上面覆蓋著釘子網格,人們可以在釘子上拉伸橡皮筋以形成線段和多邊形。它是由埃及數學家和教育家卡萊布·加特尼奧 (Caleb Gattegno) (1911-1988) 發明的,作為在學校教授初等幾何的教具。

其應用範圍從形狀的比較到面積的算術計算(例如,Pick 定理),以及平面變換的研究。


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網格, 點陣

此條目由 Margherita Barile 貢獻

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參考文獻

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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幾何板

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Barile, Margherita. “幾何板。” 來自 —— 資源,由 Eric W. Weisstein 建立。 https://mathworld.tw/Geoboard.html

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