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| Education |
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M.I.T.
Ph.D. In Mathematics, under Prof. Kenkichi Iwasawa,1962;
major field: Algebra; minor fields: Number Theory, Logic, Modern
Languages and Linguistics
CCNY BS, magna cum laude, in Mathematics, minor in
Physics, 1956
Primary Tai Chi Chuan training (1970- present) under : Lawrence
Galante, William C. C. Chen, Nathan Menaged and Frank Detrich. |
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| Honors
and Awards |
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NY
State Scholarship, 1952; Dean s List & Phi Beta Kappa
at CCNY;
Fulbright Award in Physics, Gottingen & Berlin, 1956 - 57;
Teaching and Research Assistantships & NSF Summer Research
Grants at MIT;
Social Science Research Board Grant in Foundations of Linguistics
at UCLA, 1966. |
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| Professional
Experience |
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Hofstra
University 1965 to date; coordinator of Graduate Program in
Mathematics, 1966 - 70;
summer chair, 1971;
co-director Mathematics Teacher Enhancement Programs, 1986
-98 Programs;
retired 1999, continuing as adjunct in Mathematics and Physical
Education Departments.
Columbia University Instructor in Mathematics, 1962
- 65.
Eastern Research Group Mathematician, Summers 1963
& 1964
Arde Associates Mathematician, 1956 |
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| Publications
and Research |
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The
Indecomposable Integral Representations of the Finite Cyclic
Groups, Ph.D. Dissertation, MIT, 1962
The
Indecomposable Integral Representations of Cyclic Groups of
Square-free Order, Columbia University Mathematics
Department Reports, 1963
A
Problem on Peano Mappings, Columbia Mathematics Department
Reports, 1964
Quasi-self-reciprocal
Polynomials and Potentially Large Minimum Distance BCH Codes,
(with H. Goldman), I.E.E.E. Transactions in Information
Theory, January 1969
Quasi-self-reciprocal
Polynomials and the set Dq, Hofstra University Mathematics
Department Reports, vol.1, September 1971
Minimal
Axiom Systems for Finite Affine Planes, (with R. Bumcrot),
Hofstra University Mathematics Department Reports,
vol.2, September 1972
Magic
Squares and Arithmetic Progressions, Journal of
Mathematics and Computer Education, Winter 1988
Dissemination
Packet, Teacher Training Institute, booklets 1 through
9, (co-editor with W. J. McKeough and co-author with the Institute
staff), Hofstra University Mathematics and Curriculum &
Teaching Departments, Fall 1989, ERIC
Middle
Grade Mathematics, Issues and Ideas from LIMM, S. Whitton,
D. Knee, W. J. McKeough, ed., Hofstra University Mathematics
and Curriculum & Teaching Departments, 1997
Negotiating
at the Boundries: Teacher Enhancement Programs and the Colleges,
(with W. J. McKeough), Mathematics in College, 2000
Teaching
Mathematics Excursions Using Umbrella Themes, Robert
J.Bumcrot Festschrift Papers, Hofstra University, 2002
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| Selected
Presentations |
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Mathematical
Linguistics, Seminar in the Foundations of Linguistics,
UCLA Linguistics Institute, 1966
French Mime, Focus on France, Hofstra and Adelphi
Universities, 1969
The
Pythagoreans and the Mystical Attitude Towards Mathematics,
Webb Institute of Naval Architecture, NY 1981
Discrete
Mathematics in the High School and College Curriculum,
panelist at Interdisciplinary Conference on Discrete Mathematics,
SUNY at Farmingdale, November 1986
Teaching
Cognitive Science, (with C. Sobel), Queens College
Computer Science Faculty Colloquium, December 1987
The
High School-College Math Connection: In-Service Training for
Exemplary Teachers, (with W. J. McKeough), AMTNYS annual
meeting, Syracuse NY, November 1989
The
History of Mathematics as a Foundation Course in a Teacher
Training Program, MAA annual meeting, San Francisco
CA, January,1991
The
Mathematics of Codes Through Literature and History - Tales
From De-Crypt, (with W. J. McKeough) NCTM 74th annual
meeting, San Diego CA,
April 1996
Splitting
Up is Hard to Do - A Mathematical Look at Fairness,
(with W. J. McKeough), NCTM Long , Island Regional Conference,
December 1997 |
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| Co-director
NSF Supported Teacher Enhancement Programs |
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Teacher
Training Institute (TTI) 1986 - 89, with William J. McKeough,
for 60 exemplary local high school teachers. Graduate course
work in Mathematics, Computers and Mathematics Education included
traditional areas as well as much that was new or soon to
be introduced into the high school curriculum across the country:
History of Mathematics, Problem solving via Pascal, mathematical
modeling on the computer, software in the classroom via spreadsheets,
enrichment topics for secondary mathematics, Discrete Mathematics,
Data Structures in Pascal, and the elements of Calculus. This
intensive program featured students working in teams and participants
acting as coaches. It was conducted in a family atmosphere
with special events during its two-and-a-half year period
of course offerings (guest lectures, graduation ceremonies)
and follow-through events (Math Day, Reunion and Mini-Conference
and an experimental course for program graduates and their
gifted students called Number Theory and the Computer )
during the one-year wind-down period. A dissemination packet
of 9 booklets describing the Institute s creation, syllabi,
program content and experiences was distributed to Institute
members and other interested educators on the high school
and college levels.
Leadership in Middle Grade Mathematics (LIMM), 1992 - 97,
with William J. McKeough and Sharon Whitton, for teachers
of grades 5 - 8. Building on the strengths of the previous
TTI program, this project brought together 65 exemplary teachers
for innovative course work based on the NCTM Standards and
special events in Geometry, Number Theory, Problem Solving,
Math History, Discrete Mathematics, graphing calculators,
emerging software, and recent issues and techniques in mathematics
education. Participants created leadership projects to multiply
the program s effects and the entire project concluded
with a conference held at Hofstra and the dissemination of
the LIMM Handbook. |
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| Courses
Developed at Hofstra |
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Mathematics
Excursions, Mathematics and Mysticism, Applied Algebra, Recursive
Functions, Group Theory, Mathematical Linguistics, Workshop
in Integrated Mathematics, Women in Mathematics, Mime, Movement
and Body Awareness, The Nature of Intelligence, Mathematics
Anxiety Workshop, and the courses of the teacher enhancement
programs (TTI and LIMM). |
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