Mr. R. S. Tiberio
Instructor in Mathematics
phone: 1-781-446-6290 X230
Wellesley High School
50 Rice Street
email:
MrTwhs@comcast.net
Wellesley, MA 02481
IM screen name: MrTwhs
Degrees with fields, institutions and dates:
M.M., Mathematics, Worcester Polytechnic Institute, 1992
Candidate Ed.D., Mathematics Education, Boston University, 1977-80
M.Ed., Mathematics Education, Framingham State College, 1976
B.S., Mathematics, University of Massachusetts at Amherst, 1968
Major Institutes attended:
NCSSM Writing Workshop in Statistics, 2000
Leadership Program in Statistics, NCSSM, 1999
DIMACS Research and Education Institute, Graph Theory and Combinatorial Optimization, Rutgers University, 1998
DIMACS Research and Education Institute, Cryptography and Computer Security, Rutgers University, 1997
Leadership Program in Discrete Mathematics, Rutgers University, 1992
Professional service:
Instructor in Mathematics, Wellesley High School, 1972-present
Resident Faculty Consultant, YSP, Rutgers University, 2001-2004
Visiting Scholar, Worcester Polytechnic Institute, 1989-90
Visiting Lecturer, Framingham State College, 1977-79
Long term substitute teacher at various schools, 1970-71
Military service:
U.S. Army, 1968-70, Sp/E-5, MOS: 13E20, RVN 1969-70
Professional society memberships:
American Mathematical Society
Mathematical Association of America
American Statistical Association
National Council Teachers of Mathematics
Wellesley Teachers Association
Massachusetts Teachers Association
National Education Association
Honors and awards:
Outstanding Teacher Award, 2000, University of Chicago
ABC Teacher Appreciation Award, 1999, A Better Chance Program
Community Service Award, 1998, Town of Wellesley
Who's Who in American Education, 1996, 2004
Outstanding Teacher Award, 1995, Tufts University
Twice nominated for George Olmsted Prize for Excellence in Secondary School Teaching, 1993, Williams College
Crockett Award for Excellence in Teaching, 1991, Wellesley High School
Redfield Educator of the Year, 1987, Wellesley High School
Pi Lambda Theta, Honor Society, Boston University
Dean's List, University of Massachusetts
Papers and published solutions of journal problems:
Facility Location Problems
, DIMACS Educational Module Series
An Exercise in Sampling: Rolling Down the River
, with C. Doetsch, P. Flanagan-Hyde, M. Harrison, and J. Tabor, NCSSM Writing Workshop
More Than Your Heart Desires ... An Exercise In Blocking And Sampling
, with C. Doetsch, P. Flanagan-Hyde, M. Harrison, and J. Tabor, NCSSM Writing Workshop
Teacher Notes
Calculator Activities
Langford Numbers
, In Discrete Mathematics, TBP
A Mean of Roots
, College Mathematics Journal, 29 (1998) pp. 435-436
A Quadratic Recurrence Relation
, Mathematics Magazine, 71 (1998) pp. 321-322
An Integral Sum of Cube Roots
, Mathematics Magazine, 71 (1998) pp. 316-317
A Geometric Equality
, College Mathematics Journal, 29 (1998) pp. 155-156
Triangles with One Angle Twice Another
, College Mathematics Journal, 28 (1997) pp. 233-234
Closely Related Triangle
, American Mathematical Monthly, 103 (1996) p. 906
A Corollary of Ceva's Theorem
, College Mathematics Journal, 27 (1996) p. 315
A Plethora of Pairs of Primitive Pythagorean Triples
, College Mathematics Journal, 27 (1996) p. 314
What's So Special About 6174
, In Discrete Mathematics, Issue #7, Fall Winter 1995
Solving a Quadrilateral
, College Mathematics Journal, 26 (1995) pp. 330-331
A Parallelogram Characterization
, College Mathematics Journal, 25 (1994) pp. 466-467
Counting "Diophantine" Triangles
, College Mathematics Journal, 25 (1994) pp. 243-244
Buffon's square
, Mathematics Magazine, 67 (1994) pp. 69-71
Constant Ratios in a Triangle
, College Mathematics Journal, 24 (1993) pp. 475-476
Summing a Series of Volumes
, American Mathematical Monthly, 100 (1993) pp. 882-883
Another Trigonometric Inequality
, College Mathematics Journal, 24 (1993) pp. 272-274
A Triangle Dissection
, Mathematics Magazine, 66 (1993) pp. 131-2
cos
A
:cos
B
:cos
C
= 2:9:12 =>
a
:
b
:
c
= 6:5:4
, College Mathematics Journal, 24 (1993) p. 97
Triangular Numbers
, Mathematics Magazine, 65 (1992) pp. 266-267
y
n
+1
=
ay
n
x
, College Mathematics Journal, 23 (1992) p. 347
A Triangle with Concurrent Median, Altitude, and Angle Bisector
, College Mathematics Journal, 23 (1992) p. 252
The Area of a Pedal of a Pedal Triangle
, American Mathematical Monthly, 99 (1992) pp. 169-170
Quadrilateral subdivision
, Mathematics Magazine, 64 (1991) pp. 277-278
Configuration of Perpendiculars
, Mathematics Magazine, 64 (1991) pp. 203-204
Sums of Roots
, College Mathematics Journal, 21 (1990) p. 339
Averaging to Integers
, American Mathematical Monthly, 97 (1990) p. 432
Reciprocals of Triangle Sides
, College Mathematics Journal, 20 (1989) p. 449
Circumscribable quadrangle
, Mathematics Magazine, 62 (1989) pp. 200-201
A Concurrence in the Eternal Triangle
, American Mathematical Monthly, 96 (1989) pp. 449-451
A Combinatorial Sum
, Mathematics Magazine, 62 (1989) pp. 63-65
A Reversed Digit Problem
, Mathematics Magazine, 58 (1985) p. 117
A Three-Winged Butterfly Problem
, Mathematics Magazine, 58 (1985) p. 115
A Parallelogram Generated from a Triangle
, American Mathematical Monthly, 88 (1981) pp. 66-67
Mean and Intermediate Value Properties
, Mathematics Magazine, 53 (1980) p. 51
A Standing Problem
, Mathematics Magazine, 52 (1979) p. 116
Selected Talks:
Facility Location in the High School Classroom, 3rd Annual Boston College/Rutgers Conference on Discrete Mathematics for K-12 educators, March 2004
Featured guest on the radio show
Math Medley
hosted by Dr. Pat Kenschaft, August 2002. Click
here
to see a list of recent guests.
Paradoxes in Voting Methods, Wellesley High School, February 2001
Experimental Design and Random Rectangles, Roxbury Latin School, March 2000
Experiences in Module Writing, Reconnect-99, Rutgers University, July 1999
The Wald line and Leverage in Regression, NCSSM, July 1999
Commencement Address
, Wellesley High School, June 1999
Facility Location Problems, DREI, Nov 1998
Discrete Mathematics in the High School Curriculum, Wellesley High School, June 1998
Apportionment on the TI-82, LPDM, May 1997
Combinatorics in the Elementary Classroom (with Carolyn Collins), Developmental Workshops, Wellesley Public Schools, January 1997
The New AP Statistics Exam (with Anne Carroll), LPDM, August 1995
John Conway's Calendar Computation, LPDM, July 1994
Various Modular Arithmetic Check Digit Schemes, LPDM, March 1993
Fairness in the Huntington-Hill Method of Apportionment, LPDM, July 1992