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Computer graphics as an aid to teaching geometric transformations

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Published:01 February 1976Publication History
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Abstract

During the past several years, there has been much discussion and controversy over what should be taught in high school mathematics, in general, and in high school geometry, in particular. Numerous mathematicians have encouraged the teaching of transformations as part of the standard high school mathematics curriculum[l-4,6-9]. The results of a recent survey of high school teachers of mathematics indicate that 19% have taught geometric transformations, 26% feel adequately prepared to teach such a topic, and 50% would like to teach the topic if materials were available for the average college prep student[5].

The topic of transformations is important because transformations are a unifying factor in algebra and geometry. Algebra and geometry are essentially the same material taught from different approaches. In particular, the abstract algebraic concept of a group can be conveyed in purely geometric terms by groups of transformations.

References

  1. 1 Adler, Irving. "What Shall We Teach in High School?," The Mathematics Teacher,61,3(March 1968) 226-238.Google ScholarGoogle Scholar
  2. 2 Eccles, Frank. "Transformations in High School Geometry," The Mathematics Teacher,65,2(February 1972) 103,165-169.Google ScholarGoogle Scholar
  3. 3 Fehr, Howard. "The Present Year-Long Course in Euclidean Geometry Must Go," The Mathematics Teacher,65,2(February 1972) 102,151-154.Google ScholarGoogle Scholar
  4. 4 Fehr, Howard. "The Secondary School Mathematics Curriculum Improvement Study: A Unified Mathematics Program," The Mathematics Teacher, 67,1(January 1974) 25-33.Google ScholarGoogle Scholar
  5. 5 Gearhart, George. "What Do Mathematics Teachers Think About the High School Geometry Controversy?," The Mathematics Teacher, 68,6(October 1975) 486-493.Google ScholarGoogle Scholar
  6. 6 Troyer, Robert. "Rotations, Angles, and Trigonemetry," The Mathematics Teacher, 61,2 (February 1968) 123-129.Google ScholarGoogle Scholar
  7. 7 Usiskin, Zalman. "Applications of Groups and Isomorphic Groups to Topics in the Standard Curriculum, Grades 9-11: Part 1," The Mathematics Teacher, 68,2(February 1975) 99-106.Google ScholarGoogle Scholar
  8. 8 Usiskin, Zalman. "Applications of Groups and Isomorphic Groups to Topics in the Standard Curriculum, Grades 9-11: Part 2," The Mathematics Teacher, 68,3(March 1975) 235-246.Google ScholarGoogle Scholar
  9. 9 Usiskin, Zalman and Arthur Coxford. "A Transformation Approach to Tenth Grade Geometry," The Mathematics Teacher, 65,1(January 1972) 21-30.Google ScholarGoogle Scholar

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  1. Computer graphics as an aid to teaching geometric transformations

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        • Published in

          cover image ACM SIGCSE Bulletin
          ACM SIGCSE Bulletin  Volume 8, Issue 1
          Proceedings of the SIGCSE-SIGCUE joint symposium on Computer science education
          February 1976
          399 pages
          ISSN:0097-8418
          DOI:10.1145/952989
          Issue’s Table of Contents
          • cover image ACM Conferences
            SIGCSE '76: Proceedings of the ACM SIGCSE-SIGCUE technical symposium on Computer science and education
            February 1976
            403 pages
            ISBN:9781450374125
            DOI:10.1145/800107

          Copyright © 1976 ACM

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          Association for Computing Machinery

          New York, NY, United States

          Publication History

          • Published: 1 February 1976

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