Publications
by James V. Rauff
Books
1996
Math Matters (New York: John Wiley & Sons, Inc.)
1990
Discrete Mathematics Study Guide (New York: Macmillan)
Articles & Book
Chapters
2009a "The Way Back from Anywhere: Exploring the Road
Coloring Conjecture." Mathematics and Computer Education 43(1):6-17.
2009b “Native American Dice Games and Discrete
Probability” Journal of Mathematics and
Culture 4(1): 50-62.
2008a "Penguins
and Pandas: A Note on Teaching Cantor's Diagonal Argument." The College Teaching Methods and
Styles Journal 4(9):11-17.
2008b "Prove it in
Swahili: Language as an Axiomatic System." Illinois Mathematics
Teacher 59(1):11-15.
2007
Review of Incompleteness by Rebecca Goldstein reprinted in Contemporary
Literary Criticism Volume 239, (Detroit: Thomson/Gale) pp. 170-171.
2003a "The Varieties of
Mathematical Experience." Natural History,
112(7):54-60.
2003b "Counting
on Your Body in Papua New Guinea." Mathematical Connections
Series II Volume 2:
20-41.
2003c "Modeling Ground-Level Ozone with Basic
Algebra." In Environmental Mathematics in the
Classroom edited by B. Fusaro and P. Kenschaft. (Mathematical Association of America),
pp. 55-70.
2003d
"A Millennium Prize Problem for Students," The Mathematics Teacher
96(1):26-39.
2002
"Transfinite Numbers and Native American Cosmology: A Course about
Infinity." PRIMUS 12(1):1-10.
2000a "The Joys of Teaching Formal Language Theory to
Children," Bulletin of the European Association for Theoretical
Computer Science 72: 189-192.
2000b
"Number, Infinity and Truth: Reflections on the Spiritual in
Mathematics," Humanistic
Mathematics Network Journal 23:58-66.
1998a "What is Mathematics, Anyway?" International
Study Group on Ethnomathematics Newsletter 14(1):9.
1998b "Augustus De Morgan." In Franceschetti, Donald, Ed. Biographical Encyclopedia of
Mathematicians (New York: Marshall Cavendish Corp.), pp.147-150.
1997
"Sand Songs: The Formal Languages of Walpiri
Iconography." Humanistic Mathematics Network Journal No. 15: 17-27.
1996a
"My Brother Doesn't Have a Pickup: Ethnomathematics and Mathematics
Education." Mathematics and Computer Education 30(1):42-50.
1996b "A Small Dig in the Archeology of
Mathematics." Mathematical Connections 4(1):24-30.
1996c (with Albert
Marcella) "Automated Disaster Recovery Plan Auditing." Disaster
Recovery Journal 9(4):70.
1995a (with Albert Marcella) "Utilizing Expert Systems
to Evaluate Disaster Recovery Planning." Journal of Applied Business
Research 11(1):30-38.
1995b
"Ethnomathematics and Education." International
Third World Studies Journal and Review 7:55-60.
1994a "How Students Can
Own Mathematics: Three Tales." International Study Group on
Ethnomathematics Newsletter 9(2):3-4.
1994b (with Albert Marcella) "Automated Disaster
Recovery Plan Auditing: Prospects for Using Expert Systems to Evaluate Disaster
Recovery Plans." EDPACS: The EDP Audit, Control, and Security
Newsletter 21(9):1-15.
1994c "Constructivism, Factoring,
and Belief." School Science and Mathematics 94(8):420-425.
1993a
"Writing (about) Mathematics." Millikin University Journal of
Writing 2(2):44-48.
1993b
"Algebraic Structures in Walbiri
Iconography."
Mathematical Connections 1(2):5-11.
1992a "Augustus De Morgan on the Teaching of
Mathematics." Mathematical Gazette 75(475):97-99.
1992b
"An Easy Alternative to Venn Diagrams for Depicting Syllogisms." The
Illinois Mathematics Teacher 43(4): 29-35.
1991
"Fiction and the Teaching of College Mathematics." Mathematics and
Computer Education 25(3): 274-282.
1990a
"The Essay as Cognitive Map" in Using Writing to Teach Mathematics
edited by Andrew Sterrett (MAA Notes Number 16), pp:138-139.
1990b
"A proto-Dravidian reading of the fish signs of the Indus
script." Journal of Tamil Studies 38: 1-2.
1989
"On the Linguistic Significance of the Metagrammar
in Two-level Models of Natural Language." Transactions of the
Illinois Academy of Sciences 82:39-46.
1988
"Some Structural Aspects of the Indus Script." Journal of Tamil
Studies 31:69-88.
1987
"An SDI Problem for Beginning Programmers" SIGCS Newsletter
2(2):9-11.
1985
"A Structural Function of the 'Cage' in the Harappan
Writing System." Journal of Tamil Studies 28:1-3.
1981
"Chilam Balam to the
Rescue: An Application of LCM." Illinois Mathematics Teacher 32(3):2-6.
1979
"Minimum Mathematical Skills: A Subjective Examination." The
Mathematics Teacher 72(1):50-52.
1976 "Devious Ways to Achieve Learning:
Puzzles." Math Connexion
4(2):1-4
Reviews
2011a The Legacy of
the Luoshu
by Frank J. Swetz. Mathematics
and Computer Education 45(1):76-78.
2011b Mathematical Linguistics by Andras Kornai. Mathematics
and Computer Education 45(1):78-80.
2011c The Archaeology
of Measurement: Comprehending Heaven, Earth and Time in Ancient Societies edited by Iain Morley and Colin Renfrew. Mathematics and Computer Education
45(2):164-165.
2011d How to Read
Historical Mathematics by Benjamin Wardhaugh. Mathematics
and Computer Education 45(3):279-280.
2011e Numerical Notation: A
Comparative History. Mathematics
and Computer Education
45(3):280-281.
2010a The Annotated
Turing by Charles Petzold. Mathematics
and Computer Education 44(1):65-66.
2010b Sona Geometry from Angola: Mathematics of an African
Tradition by Paulus
Gerdes. Mathematics
and Computer Education 44(1):71-72.
2010c The Drunkard’s Walk: How Randomness Rules Our Lives by Leonard
Mlodinow. Mathematics and
Computer Education 44(1):72-73.
2010d The Language of Mathematics: Telling Mathematical Tales by Bill
Barton. Mathematics and
Computer Education 44(2):177-178.
2010e The Unimaginable Mathematics of Borges’
Library of Babel by William Goldbloom Bloch. Mathematics and Computer Education
44(2):182-183.
2010f Mathematics in Ancient
Iraq: A Social History by Eleanor
Robson. Mathematics and
Computer Education 44(3):263-265.
2010g The Artist and the Mathematician by Amir D. Aczel.
Mathematics and Computer
Education 44(3):265-266.
2009a The Mathematics of Egypt, Mesopotamia,
China, India, and Islam: A Sourcebook edited by Victor J. Katz. Mathematics and Computer Education
43(1):81-84.
2009b Hypatia of Alexandria: Mathematician and
Martyr by Michael Deakin. Mathematics and Computer Education 43(1):89-90.
2009c The Pea and the Sun: A Mathematical
Paradox by Leonard M. Wapner. Mathematics and Computer Education 43(1):90-92.
2009d Lewis Carroll in Numberland:
His Fantastical Mathematical Logical Life by Robin Wilson.
Mathematics and Computer Education
43(3):273-275.
2009e Naming Infinity: The True Story of Religious
Mysticism and Mathematical Creativity by Loren Graham and Jean-Michel Kantor. Mathematics and Computer Education
43(3):275-276.
2008a A Beginner's Guide to Discrete Mathematics by W.D. Wallis. SIGACT News 39(1):7-9.
2008b Meta Math! by
Gregory Chaitin. Mathematics and Computer Education 42(1):63-64.
2008c Godel's Theorem: An Incomplete Guide to Its
Uses and Abuse by Torkel Franzen. Mathematics and Computer Education 42(1):64-65.
2008d Alice in Action: Computing
Thorugh Animation by Joel Adams. Mathematics and Computer Education 42(1):66-68.
2008e Ant Colony Optimization by Marco Dorigo
and Thomas Stutzle. Mathematics and Computer Education 42(1):68-70.
2008f The Mathematics of
Logic: A Guide to Completeness Theorems and Their Applications by Richard Kaye. Mathematics and
Computer Education 42(1):72-73.
2008g Pacific Ethnomathematics: A Bibliographic
Study by Nicholas J. Goetzfridt. Mathematics
and Computer Education 42(2):165-166.
2008h The Archimedes Codex: How a Medieval
Prayer Book is Revealing the True Genius of Antiquity's Greatest Scientist
by Reviel Netz and William
Noel. Mathematics and Computer Education 42(2):168-169.
2008i Benjamin Franklin's Numbers: An Unsung
Mathematical Odyssey by Paul C. Pasles. Mathematics and Computer Education
42(3):269-270.
2007a Imagining Numbers (Particularly the Square
Root of MInus Fifteen) by Barry Mazur. Mathematics and
Computer Education 41(1):67-68.
2007b Unknown Quantity: A Real and
Imaginary History of Algebra by John Derbyshire. Mathematics and
Computer Education 41(1):72-73.
2007c Unexpected
Links Between Egyptian and Babylonian Mathematics by Jöran
Friberg. Mathematics and Computer Education 41(1):75-77.
2007d The
Square Root of 2 by David Flannery. Mathematics and Computer Education 41(2):173-175.
2007e
Ethnomathematics: Link Between Traditions and Modernity by Ubiratan D'Ambrosi. Mathematics
and Computer Education 41(2):175-176.
2007f Finite
State Morphology by Kenneth R. Beesley and Lauri Karttunen. Mathematics
and Computer Education 41(2):176-177.
2006a Infinite Ascent: A Short History of Mathematics by David Berlinski. Mathematics
and Computer Education 40(1):74-75.
2006b On Intelligence by Jeff Hawkins. Mathematics and Computer Education 40(2):166-167.
2006c Incompleteness: The Proof and Paradox of Kurt Gödel by Rebecca Goldstein. Mathematics and Computer
Education 40(2):171.
2006d Awakening of Geometrical Thought in Early Culture by Paulus Gerdes. Mathematics and Computer Education 40(2):172.
2006e Mathematical Apocrypha Redux:
More Stories and Anecdotes of Mathematicians and the Mathematical by
Stephen Krantz. Mathematics Teacher 100(2):159.
2006f Molecular Computing edited by Tanya Sienko, Andrew Adamatzky,
Nicholas Rambidi and Michael Conrad. Mathematics
and Computer Education 40(3):251-252.
2005a Mathematical Models in Biology: An
Introduction by Elizabeth Allman and John Rhodes.
Mathematics and Computer Education 39(1):78-79.
2005b Multi-Agent
Systems: An Introduction to Distributed Artificial Intelligence by Jacques
Ferber. Mathematics and Computer Education 39(1):81-82.
2005c Pi: A Biography of the World's Most Mysterious Number by Alfred S. Posamentier and
Ingmar Lehmann. The Mathematics
Teacher 98(8):574-576.
2005d Math Through the
Ages: A Gentle History for Teachers and Others (Expanded Edition) by
William P. Berlinghoff and Fernando Q. Gouvea. Mathematics and Computer Education 39(2):161-162.
2005e Rethinking Mathematics: Teaching Social Justice by
the Numbers by Eric Gutstein and Bob Peterson. Mathematics
and Computer Education 39(3):258-259.
2005f Data Mining: A Tutorial-Based Primer by Richard
J. Roiger and Michael W. Geatz.
Mathematics and Computer Education 39(3):259-260.
2005g The
Anthropology of Numbers by Thomas Crump. Mathematics and Computer
Education 39(3):260-261.
2005h Signs of the Inka Khipu: Binary Coding in the
Andean Knotted-String Records by Gary Urton.
Mathematics and Computer Education 39(3):262-263.
2004a Prime Obsession: Bernhard Riemann and the
Greatest Unsolved Problem in Mathematics by John Derbyshire. The
Mathematics Teacher 97(4):301-302.
2004b
Mathematics for New Technologies by Don Hutchison and Mark Yannotta. Mathematics and Computer Education
38(1):113-114.
2004c The
Heart of Mathematics: An invitation to Effective Thinking by Edward Burger
and Michael Starbird. Mathematics and Computer
Education 38(1): 114-115.
2004d West Point's Scientific 200: Celebration of
the Bicentennial by Chris Arney. Mathematics
and Computer Education 38(1):115-116.
2004e Invitation to Cryptology by Thomas H.
Barr. Mathematics and Computer Education 38(3):338-339.
2004f What are the Chances? Voodoo
Deaths, Office Gossip and Other Adventures in Probability by Bart K. Holland. Mathematics
and Computer Education 38(3): 339-340.
2004g
Sherlock Holmes in Babylon and Other Tales of Mathematical History by
Marlow Anderson, Victor Katz, and Robin Wilson. The Mathematics
Teacher 98(5):364-365.
2003a An Illustrated Guide to Theoretical Ecology
by Ted J. Case. Mathematics and Computer Education 37(2):249-251.
2003b Godel: A Life of
Logic by John L.Casti and Werner DePauli. Mathematics and Computer Education 37(2):248-249.
2003c Swarm Intelligence: From Natural to
Artificial Systems by Eric Bonabeau, Marco Dorigo and Guy Theraulaz. Mathematics
and Computer Education 37(2): 251-252.
2002a Adventures in Modeling: Exploring Complex
Dynamic Systems with StarLogo by Vanessa Colella, Eric Klopfer and Michael
Resnick. Mathematics and Computer Education
36(1):80-81.
2002b Mathematics Across Cultures: The History of
Non-Western Mathematics. Edited by Helaine
Selin. Mathematics and Computer
Education 36(3):292-294.
2002c Women, Art and Geometry in Southern Africa
by Paulus Gerdes. Mathematics
and Computer Education 36(2): 192-193
2002d Theory of Computing: A Gentle Introduction
by Efim Kinber and Carl
Smith. Mathematics and Computer Education 36(2): 193-195.
2002e Mathematics for Human Survival by
Patricia Clark Kenschaft. Mathematics and Computer
Education 36(3):291-292.
2001a
Automata and Languages: Theory and Applications by Alexander Meduna. SIGACT NEWS 32(3):11-13.
2001b New Trends in Formal Languages edited
by Gheorghe Paun and Arto Salomaa. Mathematics and Computer Education
35(2):182-183.
2001c Intimations of Infinity: The Cultural
Meanings of the Iqwaye Counting and Number Systems
by Jadran Mimica. Mathematics
and Computer Education 35(1):92-93.
2001d
Growing Artificial Societies by Joshua M. Epstein and Robert Axtell. Mathematics
and Computer Education 35(3):275-276.
2001e The Mystery of the Aleph: Mathematics, The Kabbalah, and the Search for Infinity by Amir Aczel. Mathematics and Computer Education
35(2):180-181.
2001f Angles of Reflection: Logic and a Mother's
Love by Joan L. Richards. The Mathematics Teacher 94(3):238.
2001g Mesopotamian Mathematics, 2100-1600 BC:
Technical Constants in Bureaucracy and Education by Eleanor Robson. Mathematics
and Computer Education 35(1):93-94.
2000a Archaic Bookkeeping: Early Writing and
Techniques of Economic Administration in the Ancient Near East by Hans J. Nissen, Peter Damerow, and Robert
Englund. Mathematics and Computer Education
34(3):325-326.
2000b
History of Mathematics/Histories of Problems by Inter-IREM Commission. Mathematics and
Computer Education 34(2):218-219.
2000c
The Importance of Being Fuzzy by Arturo Sangalli. Mathematics and
Computer Education 34(1):97-98.
2000d The Number Devil: A Mathematical Adventure by
Hans Magnus Enzenberger. Mathematics and Computer
Education 34(2):217-218.
2000e A
Mathematical Mosaic: Patterns & Problem Solving by Ravi Vakil. Mathematics and Computer Education
34(2):219-220.
2000f Combinatorics: A Problem Solving Approach by
Daniel A. Marcus. The Mathematics Teacher 93(4):352-353.
2000g
Invitation to Discrete Mathematics by Jiri Matousek and Jaroslav Nesetril. The Mathematics Teacher 93(1):80.
1999a The Joy of Pi by David Blatner. Mathematics and Computer Education 33(1):92-93.
1999b African
Fractals: Modern Computing and Indigenous Design by Ron Eglash.
The American Mathematical Monthly 106(9):872-875.
1999c The Social Life of Numbers: A Quechua
Ontology of Numbers and Philosophy of Arithmetic by Gary Urton.
Mathematics and Computer Education 33(1):93-94.
1999d Cornerstones of Undecidability
by Grzegorz Rozenberg
and Arto Salomaa. Mathematics
and Computer Education 33(2):190-191.
1999e An Introduction to Natural Computation by
Dana Ballard. Mathematics and Computer Education 33(3):294-295.
1999f Darwin Among the Machines: The Evolution of
Global Intelligence by George B. Dyson. Mathematics and Computer
Education 33(2):191-192
1999g
Algebra in Ancient and Modern Times by V.S. Varadarajan. The Mathematics
Teacher 92(5):454.
1999h In-line/On-line: Fundamentals of the
Internet and the World Wide Web by Raymond Greenlaw
& Ellen Hepp. Mathematics and Computer
Education 33(3):293-294.
1998a New Directions in the Philosophy of
Mathematics: An Anthology by Thomas Tymockzko. Mathematics
and Computer Education 32(3):309-310.
1998b The Invention of Infinity: Mathematics and
Art in the Renaissance by J.V. Field. Mathematics and Computer
Education 32(3):310.
1998c The Universe and the Teacup: The
Mathematics of Truth and Beauty by K.C. Cole. Mathematics and
Computer Education 32(3):311.
1998d Proof in Mathematics: An Introduction by
James Franklin and Albert Daoud. The
Mathematics Teacher 91(2):187-188.
1997 Strength in Numbers: Discovering the Joy
and Power of Mathematics in Everyday Life by Sherman K. Stein. The
Mathematics Teacher 90(1):24-30.
1996a Philosophy of Mathematics and Mathematical
Practice in the Seventeenth Century by Paolo Mancuso. Mathematics
and Computer Education 30(3):323-324.
1996b Infinity and the Mind: The Science and
Philosophy of the Infinite by Rudy Rucker. The Mathematics Teacher
89(3):256-257.
1996c Mathematics: A Concise History and
Philosophy by W.S. Anglin. Mathematics and
Computer Education 30(1):116-118.
1995
In Measure Number and Weight: Studies in Mathematics and Culture by Jens Hoyrup. Mathematics and Computer Education 29(3):335-337.
1994a
Artificial Intelligence with Common LISP: Fundamentals of Symbolic and
Numeric Processing by James L. Noyes. Mathematics and Computer Education
28(3):343-344.
1994b From Logic to Logic Programming by Kees Doets. SIGACT News
25(4):36-37.
1994c
Algebraic Models for Social Networks by Philippa
Pattison.
Mathematics and Computer Education 28(3):355-356.
1994d Knot Theory by Charles
Livingston. The Mathematics Teacher 87(6):458.
1994e Chaos: The Software by AutoDesk, Inc. Mathematics and Computer Education
28(1):105-107.
1992a Dictionary of Computing. Edited by Illingworth, Glaser, and Pyle. Mathematics
and Computer Education 26(2):204-205.
1992b Turbo Prolog: Step by Step by R. Cafolla and A.D.Kauffmann. Mathematics
and Computer Education 26(1):98-99.
1992c Designing
Intelligence: A Framework for Smart Systems by Stephen H. Kim. Mathematics
and Computer Education 26(3):331-333.
1992d Knowledge
Systems Through Prolog by Stephen H. Kim. Mathematics
and Computer Education 26(3):331-333.
1991a The History of Mathematics by David M.
Burton. Mathematics and Computer Education 25(3):314-316.
1991b CA Lab by Rudy Rucker and John
Walker. Mathematics and Computer Education 25(2):216-217.
1990a Neuroshell
by Ward Systems Group. Mathematics and Computer Education 24(3):295-297.
1990b The Student Edition of Minitab by
Robert Schaefer & Richard Anderson. Mathematics and Computer
Education 24(2):180-181.
1990c The Geometric Supposer:
Triangles by Judah Swartz and Michael Yerushalmy.
Mathematics and Computer Education 24(2):185-186.
1990d Writing to Learn Mathematics and
Science edited by Paul Connolly and Teresa Vilardi.
Mathematics and Computer Education 24(2):163-165.
1990e Computer Viruses, Worms, Data Diddlers, Killer Programs, and Other Threats to Your System
by John McAfee and Colin Haynes. Mathematics and Computer Education
24(3):284-285.
1989a The Vastness of Natural Language by D.
Terence Langendoen and Paul M. Postal. Computational
Linguistics 15(1):55-56.
1989b
Native American Mathematics edited by Michael Closs.
The American Mathematical Monthly 96(7):662-663.
1989c Introductory Discrete Structures with Applications
by Kolman/Busby. Mathematics and Computer
Education 23(1):56-57.
1987 Applied Finite Mathematics by George J.
Kertz. Mathematics and Computer Education
21(3):207-208.
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