{"title":"A Construction of and Physical Model for Finite Euclidean and Projective Geometries.","authors":"W. A. Miller","doi":"10.5951/MT.63.4.0301","DOIUrl":null,"url":null,"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","PeriodicalId":144125,"journal":{"name":"Math Teacher","volume":"63 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1970-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Math Teacher","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5951/MT.63.4.0301","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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