A Construction of and Physical Model for Finite Euclidean and Projective Geometries.

Math Teacher Pub Date : 1970-04-01 DOI:10.5951/MT.63.4.0301
W. A. Miller
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引用次数: 1

Abstract

IN RECENT years, finite mathemati cal structures have been receiving increas ing emphasis in elementary, secondary, and college mathematics programs. The major reason for this is probably that stu dents often find it easier to recognize and understand the properties of many mathe matical structures if the finite as well as the infinite cases are investigated. In addi tion, the writer has observed that finite structures usually stimulate interest and develop creativity in the student, regard less of whether he is in elementary school or graduate school. Recently, writers of materials for high school students and future teachers have expressed an interest in finite geometries. Brumfiel developed the nine-point, twelve line finite Euclidean geometry in the Twenty-Eighth Yearbook of the National Council of Teachers of Mathematics.1 Van Engen et al. include the same geo metric structure in their text for ninth grade students.2 The Committee on Un dergraduate Programs in Mathematics
有限欧几里德几何与射影几何的构造与物理模型。
近年来,有限数学结构在小学、中学和大学数学课程中受到越来越多的重视。这样做的主要原因可能是,如果研究有限和无限情况,学生通常会发现更容易识别和理解许多数学结构的性质。此外,作者观察到,有限的结构通常激发学生的兴趣和发展创造力,不管他是在小学还是研究生院。最近,为高中学生和未来教师编写教材的作者对有限几何表现出了兴趣。brumfield在《全国数学教师委员会第28届年鉴》中发展了9点12线有限欧几里得几何。Van Engen等人在九年级学生的课本中也包含了相同的几何结构数学本科专业委员会
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