DAVID KNEE
DAVID KNEE

Vita

Education
   
  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.
   
Honors and Awards
   
  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.
   
Professional Experience
   
 

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

   
Publications and Research
   
 

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

   
Selected Presentations
   
 

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

   
Co-director NSF Supported Teacher Enhancement Programs
   
 

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.

   
Courses Developed at Hofstra
   
  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).

Biography Mathematics Tai Chi Chuan Vita Hofstra University DAVID KNEE Professor Emeritus, Mathematics 100B Adams Hall T: (516) 463-5072 F: (516) 463-6596