Hubert Ludwig, Ball State University

Back to Geometry Bibliography: Contents

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 A Core Curriculum in Geometry Martha Tietze The use of hands-on activities in the third year of an integrated sequence for the non-college bound. (85, 1992) 300 - 303 Integrating Transformation Geometry into Traditional High School Geometry Steve Okolica and Georgette Macrina Moving transformation geometry ahead of deductive geometry. (85, 1992) 716 - 719 Problem Posing in Geometry Larry Hoehn Methods for creating geometry problems. Thirteen problems arising from a familiar theorem. (84, 1991) 10 - 14 Van Hiele Levels of Geometric Thought Revisited Anne Teppo Relating the van Hiele theory to the Standards. (84, 1991) 210 - 221 STAR Experimental Geometry: Working with Mathematically Gifted Middle School Students Gary Talsma and Jim Hersberger A description of a course for mathematically gifted middle school students. (83, 1990) 351 - 357 Geometry: A Remedy for the Malaise of Middle School Mathematics Alfred S. Posamentier Encourages the teaching of geometric concepts in the middle school. (82, 1989) 678 - 680 Problem Solving: The Third Dimension in Mathematics Teaching George Gadanidis The examples used are primarily geometric in nature. (81, 1988) 16 - 21 The 1985 Nationwide University Mathematics Examination in the People's Republic of China Jerry P. Becker and Zhou Yi-Yun A short discussion of the examination, an observation that a great deal of emphasis is placed on geometry. The examination questions are presented. 80, (1987) 196 - 203. Geometry in the Junior High School Fernand J. Prevost Suggested geometric topics for the Junior High School. 78, (1985) 411 - 418. Logic for Algebra: New Logic for Old Geometry Kenneth A. Retzer Inferential logic should be taught in Geometry and sentential logic in Algebra. 78, (1985) 457 - 464. The Shape of Instruction in Geometry: Some Highlights from Research Marilyn N. Suydam "Why, what, when, and how is geometry taught most effectively." Research findings on these questions. 78, (1985) 481 - 486. Lets Put Computers Into The Mathematics Curriculum Donald O. Norris ...and throw out plane geometry. 74, (1981) 24 - 26. What Should Not Be In The Algebra and Geometry Curricula Of Average College Bound Students Zalman Usiskin The curriculum is overcrowded. Criteria for the inclusion or exclusion of topics are given. Suggestions are made for the deletion of topics. 73, (1980) 413 - 424. What Do Mathematics Teachers Think About The High School Geometry Controversy? A survey of the attitudes of secondary mathematics teachers concerning geometry content. 68, (1975) 486 - 493. Geometry and Other Science Fiction Jerry Lenz Bibliography (including some Science Fiction) chosen for its geometrical content. 66, (1973) 529. The Present Year-Long Course In Euclidean Geometry Must Go Howard F. Fehr Gives a sequence of geometrical topics which, it is argued, should be in a six year unified study. 65, (1972) 151 -154. An Improved Year Of Geometry Bruce Meserve Some suggestions for improving geometry teaching and developing a comprehensive geometry program throughout the students' experience. 65, (1972) 103, 176 - 181. The High School Geometry Controversy: Is Transformation Geometry The Answer? Richard H. Gast Discusses several proposals which favor the inclusion of transformational geometry. 64, (1971) 37 - 40. Analytic Geometry Is Not Dead Lawrence C. Eggan Argues for the existence of an analytic geometry course at the 12th grade level. 64, (1971) 355 - 357. The Geometric Continuum Harold P. Fawcett Some history of geometry in the schools (primarily secondary). 63, (1970) 411 - 420. The Dilemma In Geometry Carl B. Allendoerfer Discussion, concluding with a suggested curriculum. 62, (1969) 165 - 169. What Shall We Teach In High School Geometry? Irving Adler Goals, techniques, proposals. 61, (1968) 226 - 238. What Should High School Geometry Be? Charles Buck Suggests that the course should be synthetic and begin with intuition. 61, (1968) 466 - 471. The Modern Approach To Elementary Geometry Oswald Veblen Reprint of a 1934 article. Discusses bases for the formation of attitudes toward elementary geometry. 60, (1967) 98 - 104. Concerning Plane Geometry In The Textbooks Of Classes 7 and 8 Fritz Homagh Translation of a 1966 German article dealing with textbook content. 60, (1967) 165 - 172. A Proposal For The High School Mathematics Curriculum Morris Kline Contains some comments on tenth grade geometry. 59, (1966) 322 - 330. The Role Of Geometry In The Eleventh and Twelfth Grades Harry Levy Geometric concepts in secondary geometry. 57, (1964) 130 - 138. New Trends In Algebra and Geometry Bruce E. Meserve Course suggestions. 55, (1962) 452 - 461. No Space Geometry In The Space Age? Charles H. Smiley and David K. Peterson Suggests a mathematically based astronomy course with an emphasis on space geometry. 53, (1960) 18 - 21. The Ball State Experimental Program Charles Brumfiel, Robert Eicholz and Merrill Shanks Contains a section (79 - 83) on the development of geometry. 53, (1960) 75 - 84. A New Role For High School Geometry Robert B. Christian Students should be introduced to some elementary examples of abstract ideas. 53, (1960) 433 - 436. The SMSG Geometry Program Edwin E. Moise A description of its development. 53, (1960) 437 - 442. Some Geometric Ideas For Junior High School Irvin H. Brune Course content suggestions. 53, (1960) 620 - 626. For A Better Mathematics Program In High School F. Lynwood Wren Suggestions. 49, (1956) 100 - 111. What Kind Of Geometry Shall We Teach? M. Van Waynen Applications of geometric methods to other fields. 43, (1950) 3 - 11. Teaching For Generalization In Geometry Frank B. Allen Some examples. Suggested topics and techniques. 43, (1950) 245 - 251. Tenth Year Geometry For All American Youth Samuel Welkowitz What should be involved in the plane geometry course. 39, (1946) 99 - 112. The Objectives Of Tenth Year Mathematics Harry Eisner How should the geometry course be revised? 36, (1943) 62 - 67. A Reply To Mr. Nygard Norman N. Royall, Jr. Detailed comments on {34, (1941) 269 - 273, see below}. 35, (1942) 179 - 181. The War On Euclid Charles Salkind Comments on attempts to modify method and content in plane geometry. 35, (1942) 205 - 207. The Habitat Of Geometric Forms Charles R. Salit Origin and occurrence of primary geometric forms. 35, (1942) 325 - 326. What Mathematical Knowledge and Abilities For The Teacher Of Geometry Should The Teacher Training Program Provide In Fields Other Than Geometry Gertrude Hendrix Answers the question posed. 34, (1941) 66 - 71. What Specialized Knowledge Should The Teacher Training Program Provide In The Field Of Geometry? P. D. Edwards Answers the question posed. 34, (1941) 113 - 118. A Reorganization Of Geometry For Carryover Harold D. Alten Changing the geometry course so as to have students apply geometric types of reasoning in other situations. 34, (1941) 51 - 54. A Functional Revision Of Plane Geometry P. H. Nygard Revising the geometry course. 34, (1941) 269 - 273. A Protest Against Informal Reasoning As An Approach To Demonstrative Geometry Gertrude Hendrix Calls for the use of formal deductive proofs. 29, (1936) 178 - 180. The Abstract and The Concrete In The Development Of School Geometry George Wolff History, development, trends. 29, (1936) 365 - 373. Third Report Of The Committee On Geometry Ralph Beatley Suggested programs in geometry. Bibliographical notes. 28, (1935) 329 - 379. Bibliographical notes continued. Results of questionnaires. 28, (1935) 401 - 450. Demonstrative Geometry In The Ninth Year Joseph B. Orleans Course outline. 26, (1933) 100 - 103. Demonstrative Geometry For The Ninth Grade W. D. Reeve Reasons for teaching, postulates, three units of material. 26, (1933) 150 - 162. An Attempt To Apply The Principles Of Progressive Education To The Teaching Of Geometry Leroy H. Schnell Objectives, preliminary steps, one unit of material. 26, (1933) 163 - 175. Second Report Of The Committee On Geometry Ralph Beatley List of materials examined. General observations. 26, (1933) 366 - 371. Preliminary Report Of The Committee On Geometry Ralph Beatley Plans for study. 25, (1932) 427 - 428. Notes On The First Year Of Demonstrative Geometry In Secondary Schools Ralph Beatley Materials used and comments. 24, (1931) 213 - 222. Report Of The Committee On Geometry Preliminary results. 24, (1931) 298 - 302. Report Of The Second Committee On Geometry Charles M. Austin Comments, results, suggestions, and syllabi. 24, (1931) 370 - 394. Proposed Syllabus In Plane And Solid Geometry George W. Evans A list of assumptions and theorems. 23, (1931) 87 - 94. The Introduction To Demonstrative Geometry E. H. Taylor Present practices and objectives. 23, (1930) 227 - 235. Geometry In The Junior High School Marie Gugle What should be taught? How should it be taught? Course outline included. 23, (1930) 209 - 226. A One Year Course In Plane and Solid Geometry John C. Stone Curriculum revision, history, aims of a course in geometry. 23, (1930) 236 - 242. Geometry Measures Land W. R. Ransom Geometry has become too much an exercise in pure logic. 23, (1930) 243 - 251. Rebuilding Geometry George W. Evans Arguments beyond the "Proposed Syllabus ..." . {See above.} 23, (1930) 252 - 256. A Professional Course For The Training Of Geometry Teachers H. C. Christofferson Objectives, subject matter involved, pattern of teaching used. 23, (1930) 289 - 299. Geometry As Preparation For College W. R. Longley Course modifications for the college bound. 23, (1930) 257 - 267. Tenth Year Mathematics Outline W. D. Reeve Postulates and theorems. 23, (1930) 343 - 357. Locophobia: Its Causes and Cure George H. Sellech Teaching locus problems. Some examples given. 22, (1929) 382 - 389. Beginning Geometry and College Entrance Ralph Beatley Suggested topics for college preparatory courses. 21, (1928) 42 - 45. The Teaching Of Proportion In Plane Geometry Warren R. Good and Hope H. Chipman Literature review, textbook analysis, proposed changes. 21, (1928) 454 - 465. Solid Geometry Versus Advanced Algebra W. F. Babcock Which should be taught if both are not possible? 20, (1927) 478 - 480. "Elementary Geometry" and The "Foundations" H. E. Webb What should be in a beginning course in geometry? 19, (1926) 1 - 12. A Course In Solid Geometry William A. Austin Course description, teaching methods and content. 19, (1926) 349 - 361. The Sequence Of Theorems In School Geometry T. P. Nunn Course organization and the reasons for it. 18, (1925) 322 - 332. Craig's Edition Of Euclid: Its "Use and Application" of The Principal Propositions Given Agnes G. Rowlands Comments on an 1818 text. Applications oriented. 16, (1923) 391 - 397. Our Geometry In Egypt and China William A. Austin Contacts with foreign teachers. 16, (1923) 78 - 86. Geometry As A Course In Reasoning Henry P. McLaughlin Shall rigid methods of proof be abandoned? 16, (1923) 491 - 499. The Teaching Of Beginning Geometry A. J. Schwartz Historical beginnings, some suggested topics and approaches. 15, (1922) 265 - 282. The Geometry Of The Junior High School J. C. Brown Constructive and intuitional geometry for the last half of the seventh school year. 14, (1921) 64 - 70. Terms and Symbols In Elementary Mathematics National Committee On Mathematical Requirements Recommendations for usage. Geometry on 108 - 112. 14, (1921) 107 - 118. College Entrance Requirements In Mathematics National Committee On Mathematical Requirements A list of fundamental propositions and requirements is presented in the geometry section. 14, (1921) 224 - 245. The Future Of Secondary Instruction In Mathematics Harrison E. Webb Suggestions for changes in course content. 14, (1921) 337 -341. An Outline Of Plane Geometry As Used In The Durfie High School Robert F. Goff Course outline. 10, (1917-1918) 158 - 160. Final Report Of The Committee Of Fifteen On Geometry Syllabus A good overview of the condition of high school geometry in 1912. Historical Introduction (48-75); Logical Considerations (75-89); Special Courses (92-109); Exercises and Problems (109-130); Syllabus of Geometry (109-130). 5, (1912-1913) 46 - 131. The Provisional Report Of The National Committee On A Geometry Syllabus Howard F. Hart Comments on {5, (1912-1913) 46 - 131, see above.}. The syllabus will be famous for what it omits. 4, (1911-1912) 97 - 103. Intuition and Logic In Geometry W. Betz Intuition in the teaching of geometry. The school cannot take the attitude of the rigorous mathematician. 3, (1910,1911) Some Suggestions In The Teaching Of Geometry Isaac J. Schwatt Content, methods, reasons for teaching. 2, (1909-1910) 94 - 115. H.J.L. 07/15/97 email: 00hjludwig@bsu.edu home page: http://www.cs.bsu.edu/~hjludwig/ |

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