Hubert Ludwig, Ball State University

Back to Geometry Bibliography: Contents

Starting A Euclid Club Jeremiah J. Brodkey A student-faculty group discusses the Elements. (889, 1996) 386 - 388 Mathematical Structures: Answering the "Why" Questions Doug Jones and William S. Bush Axiomatic structures. Suggestions for teaching mathematical structure appropriate for the secondary school. (889, 1996) 716 - 722 What Is a Quadrilateral? Lionel Pereira-Mendoza An activity designed to develop an understanding of the role of definitions in mathematics. (86, 1993) 774 - 776 Formal Axiomatic Systems and Computer Generated Theorems Michael T. Battista Using a microcomputer to develop an axiomatic system. 75, (1982) 215 - 220. Changing Postulates Can Provide Variety and Meaningful Learning Donald Mahaffey Proving the uniqueness of parallel lines as a consequence of an S.A.S. similarity postulate. 75, (1982) 677 - 679. Developing Mathematics On A Pool Table Thomas Ray Hamel and Ernest Woodward A mathematical system on a pool table, axioms, theorems and proofs. 70, (1977) 154 - 163. The Meaning Of Euclidean Geometry In School Mathematics Edwin E. Moise Remarks by a geometry educator. 68, (1975) 472 - 477. Independence Of The Incidence Postulates David C. Huffman A study of a set of incidence postulates. 62, (1969) 269 - 277. Mathematical Definition and Teaching Henri Poincare A discussion of the role of definitions in mathematics. 62, (1969) 295 - 304. The "New Mathematics" In Historical Perspective F. Lynwood Wren Definition 23 and postulates 1 - 5 of Book I of Euclid. 62, (1969) 579 - 584. A Proof Of The Space-Separation Postulate Charles A. McComas Utilizing plane separation and plane intersection. 61, (1968) 472 - 474. Euclidean and Other Geometries Bruce E. Meserve Euclidean, hyperbolic, spherical, and elliptic. 60, (1967) 2 - 11. On The Geometry Of Euclid M. C. Gemignani Primarily concerned with Euclid's attempts to define point and line. 60, (1967) 160 - 164. Equivalent Forms Of The Parallel Postulate Lucas N. H. Hunt Reprint from Euclides. Equivalences and proofs. 60, (1967) 641 - 652. Aba Daba Daba Betty Plunkett Independence of a postulate. 59, (1966) 236 - 239. Reflexive, Symmetric and Transitive Properties Of Relations Dorothy H. Hoy Examples using lines in a plane. 58, (1965) 201 - 210. Mathematics From The Modern Viewpoint Truman Botts and Leonard Pikaart Axiomatic development. 54, (1961) 498 - 504. Another View Of The Process Of Definition Robert S. Fouch The importance of understanding definitions. 48, (1955) 178, 186. The Meaning Of Mathematics C. E. Springer A discussion of the postulational method. 48, (1955) 453 - 459. Just What Is Mathematics William L. Schaff A bibliography of materials dealing with the nature and meaning of mathematics. 46, (1953) 515 - 516. Superposition Philip S. Jones A letter discussing the problems involved in the use of superposition. 45, (1952) 232 - 234. An Interpretation and Comparison Of Three Schools Of Thought In The Foundations Of Mathematics E. Russell Stabler Postulational, logical, and formalist approaches. 28, (1935) 5 - 35. To Postulate Or Not To Postulate Nelson A. Jackson How many first principles (which could be proved) should be postulated in a beginning course? 23, (1930) 194 - 196. Applications and Proofs E. Russell Stabler Use of postulates. 21, (1928) 46 - 48. Geometry Notes M. M. S. Moriarty Urges clearer statements of some postulates and more consistent treatment of others. 21, (1928) 280 - 291. Rigor Versus Expediency In The Proof Of Locus Originals Elmer B. Bowker Postulate freely and do not worry about redundancies. 20, (1927) 82 - 90. Postulates and Sequences In Euclid George W. Evans Some analysis of the Elements. 20, (1927) 310 - 320. Certain Undefined Elements and Tacit Assumptions In The First Book Of Euclid's Elements Harrison E. Webb Perceived aims in Euclid and a discussion of their attainment. 12, (1919-1920) 41 - 60. H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ |

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