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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