Professor of Mathematics, Montana State University

(406) 994-5354

westy at math dot montana dot edu

EDUCATION: Ph.D., Mathematics, University of Wisconsin, 1973.
M.A.,
Mathematics, University of Wisconsin, 1967.

B.A., Mathematics, Oberlin College, 1966.

PUBLICATIONS:

BOOKS:

*Precalculus*, sixth edition (2011) Pearson, ISBN
0-536-08358-4

*Precalculus Concepts* (1996) Prentice Hall, ISBN
0-13-261-694-7

ARTICLES:

"The Die links as Evidence for Coin Production and
Mint Practice," Appendix, pages 95-100, "with Warren Esty" in the book Diva Faustina: Coinage and Cult in Rome and the Provinces, by Martin
Beckman, American Numismatic Society, Numismatic Studies 26, 2012, 170 pages, 33
plates, and 17 fold-out die charts.

"Double Radiate Fractions of the Tetrarchy from the Cyzicus Mint:
Metallurgical Analysis and Compendium of Known Examples," to
appear *Numismatische Zeitschrift*. (Joint with Ronald Bude
and John Mansfield.)

"The geometric model for estimating the number of dies," in F. de
Callata˙ and E. Lo Cascio (eds.), *Quantifying monetary
supplies in Graeco-Roman times*, Pragmateiai 21, Bari, (2011)
1-16

“How to estimate the original number of dies and the coverage of
a sample.” Numismatic Chronicle,
volume 166 (2006) 359-364. The Journal of the Royal Numismatic
Society.

“Teaching about inverse functions,” AMATYC Review, Spring 2005, 4-10. (Also on-line
at amatyc.org)

“Statistical analysis of hoard data in ancient numismatics,” in Proceedings of the XIIth
International Numismatic Congress, Madrid, 2003 (2005)
173-177.

“The box-percentile plot” (joint with Jeff Banfield) in
*Journal of Statistical Software*, 8 (2003),
http://www.jstatsoft.org/ 14 pages plus software
files.

“Statistics in Numismatics,” in Survey
of Numismatic Research, 1995-2001, International
Association of Professional Numismatists, Special Publication
(2003) 921-927.

“The Assessment of Mathematical Logic: Abstract Patterns and
Familiar Contexts” (joint with Anne Teppo and Kay Kirkpatrick), Psychology of Mathematics Education
(Proceedings of the 27th Conference of the International Group for
the Psychology of Mathematics Education), 2003, 283-290.

“A Die Study of Some Silver Coinages of Sinkiang, China” (with
David
Spencer Smith), *The American Journal of Numismatics*.

“Mathematical Contexts and the Perception of Meaning in Algebraic
Symbols”
(with Anne Teppo). *The Future of the Teaching and Learning of
Algebra,
volume 2*, Ed. Helen Chick, Kaye Stacey, Jill Vincent, and
John Vincent,
2002

“Learning Precalculus Concepts Using Graphing Calculators and
Emphasizing
Symbolic Language” in *Proceedings of the Thirteenth Annual
International
Conference on Technology in Collegiate Mathematics*.
Ed. Gail
Goodell, Addison Wesley Longman, Reading, MA (2002)

“Teaching Precalculus now that calculators can do many
traditional problems,”
in *Proceedings of the Twelfth Annual International Conference
on Technology
in Collegiate Mathematics*, Ed. Gail Goodell, Addison Wesley
Longman,
Reading, MA (2001) pp. 105-109.

“We know calculators can do math, but how can they teach math?,”
in
*Proceedings
of the Eleventh Annual International Conference on Technology in
Collegiate
Mathematics*, Ed. Gail Goodell, Addison Wesley Longman,
Reading, MA
(2000) pp. 112-116.

"What do we need to teach about algebra now that 'Calculators can
do
it all'?", *Proceedings of the Tenth International*
*Conference on Technology in Collegiate Mathematics*, Ed.
Gail
Goodell, Addison Wesley Longman, Reading, MA (1999) pp. 137-141.

"Statistics in numismatics," *Survey of Research in
Numismatics*,
1990-1996, International Association of Professional
Numismatists, Special Publication 13, Berlin (1997) 817-823

"Understanding mathematics using graphics calculators," *Proceedings
of
the Ninth International Conference on Technology*
*in Collegiate Mathematics*, Goodell (1998) 154-158.

"Grade assignment based on progressive improvement," (with Anne
Teppo),
reprinted in *Emphasis on Assessment*, NCTM
(1996) 45-47.

"Mathematical contexts and the perception of meaning" *Psychology
of
Mathematics Education*: Proceeding of the 17th
annual meeting, (1996) 147-151.

"Algebraic thinking, language, and word problems, 1996 NCTM
Yearbook,
*Communication
in Mathematics*, (1996) 45-53
(with Anne Teppo).

"Problem solving using arithmetic and algebraic thinking," *Psychology
of
Mathematics Education*: Proceedings of the 16th
Annual Meeting. (with Anne Teppo, senior author) (1995) 24-30.

"A general-education course emphasizing mathematical language and
reasoning,"
*FOCUS
- on Learning Problems in*
*Mathematics*, 16.1 (1994) 13-35 (with Anne Teppo).

"The distribution of the numbers of coins struck by dies," *American
Journal
of Numismatics*, the publication of the American
Numismatic Society, Second Series 3-4 (1991-1992) 165-186 (Giles
Carter
is secondary author).

"Language concepts of mathematics," *FOCUS - on Learning
Problems
in Mathematics*, 14.4 (1992) 31-55.

"Grade assignment based on progressive improvement," *Mathematics
Teacher*, 85.8 (November 1992) 616-618 (with Anne
Teppo). Also reprinted in Emphasis on Assessment, NCTM (1996)
45-47, and also posted on the web by The Eisenhower National
Clearing House for Mathematics Education.

"Votes or competitions which determine a winner by estimating
expected
plurality," *Journal of the American Statistical*
*Association*, 418 vol. 87 (June 1992) 373-375.

"Rates and taxes," *Mathematics Teacher* 85.5 (May 1992)
376-379.

"The least common denominator," *Arithmetic Teacher*, in
its featured
"One Point of View" column (Dec. 1991) 6-7.

"The contribution of surface-silvering to silver content," *Numismatic
Chronicle* (1991) 226-228, the journal of the Royal
Numismatic Society.

"Finding the points of intersection of polar-coordinate graphs,"
*Mathematics
Teacher*.September 1991, 472-477.

"The theory of linkage," *Numismatic Chronicle* (1990)
205-222,
the journal of the Royal Numismatic Society.

"Percentile plots and other methods for graphing coin weights," *Numismatic
Chronicle
*(1989) 135-148, the journal of the
Royal Numismatic Society.

"A stochastic death process with elimination by pairing," *Journal
of
Applied Probability*, 24 (1987) 241-245 (with Malcolm
Faddy).

"Estimating the size of a coinage: A survey and comparison of
methods."
*Numismatic
Chronicle*, 146 (1986) 185-215, the
Journal of the Royal Numismatic Society.

"The efficiency of Good's nonparametric coverage estimator," *The
Annals
of Statistics*, 14 (1986) 1257-1260.

"A model for fluctuations in the fraction of a bacterial
population
harboring plasmids," *Theoretical Population Biology*, 30
(1986) 111-124 (with R. Vincent Miller and David C. Sands).

"A Simpson's rule version of the Spearman-Karber estimator," *Proceedings
of
the Montana Academy of Sciences*, 45
(1985) 78-90.

"Another look at daily lotteries," *American Statistician*,
39
(1985) 118-119.

"Estimation of the number of classes in a population and the
coverage
of a sample," *Mathematical Scientist*, 10 (1985) 41-50.

"Asymptotic distribution theory of statistical functionals: The
compact
derivative approach for robust estimators," *Annals of the*
*Institute of Statistical Mathematics*, 37 (1985) 109-129
(with
R.M. Gillette, M.A. Hamilton, D.C. Taylor).

"Confidence intervals for an occupancy problem estimator used by
numismatists,"
*Mathematical
Scientist*, 9 (1984) 111-115.

"Sclerotium size maximizes the number of successful offspring," *Theoretical
Population
Biology*, 26 (1984) 68-76.

"Estimating the size of a coinage," *Numismatic Chronicle*,
144
(1984) 180-183, the journal of the Royal Numismatic Society.

"A normal limit law for a nonparametric estimator of the coverage
of
a random sample," *Annals of Statistics*, 11 (1983)
905-912.

"Confidence intervals for the coverage of low coverage samples,"
*Annals
of Statistic*s, 10 (1982) 190-196.

"Ancient portraits of mathematicians," *Historia Mathematica*,
6 (1979) 437-441.

"On survival of branching processes in random environments," *Mathematical
Biosciences*, 43 (1979) 181-186 (with S.
Durham).

"Estimation problems in branching processes in random
environments,"
*Annals
of Statistics*, 7 (1979) 680-685 (with J.P.
Dion).

"Diffusion limits of critical branching processes conditioned on
extinction
in the near future," *Journal of Applied Probability*,
13 (1976) 247-254.

"The reverse Galton-Watson process," *Journal of Applied
Probability*,
12 (1975) 574-680.

"Critical age-dependent branching process diffusions," *Stochastic
Processes
and Their Applications*, 3 (1975) 209-220.

"Critical age-dependent branching processes," *Annals of
Probability*,
3 (1975) 49-60.

OTHER PUBLICATIONS:

Book review of “Grade Inflation: A Crisis in College Education,”
by Valen E. Johnson, in The
Montana Professor, 14.2, Spring 2004, 44-47.

Book review of *Essentials of Statistical Methods* (History
and
Archaeology) by T. P. Hutchinson, reviewed in *Review*
*Numismatique*, 1998.

"Provide homework answers?" letter in *Mathematics Teacher*,
90.3
(March 1997) 180.

"Appropriate Terminology," letter in *Mathematics Teache*r,
88.3
(March 1995) 184.

"On the coverage of observed varieties," *Numismatic Circular*
(1979) 341.

"Estimation of the number of dies used in a coinage when the
sample
has few duplicates," *Numismatic Circular* (1978) 302.

"Algebra readiness for the middle grades" *The Montana
Mathematics
Teacher* (1990) 27-36 (with Lyle Andersen).

"The alloy of the 'XI' coins of Tacitus," *Numismatic
Chronicle*
(1993) (with Dick Smith and Nancy Equall).

"What is exact," letter in *Mathematics Teacher*, 86.8
(Nov. 1993)
699.

"More on finding points of intersections of polar coordinate
graphs,"
letter in *Mathematics Teacher*, 86.3 (March 1993) 195.