1996   Math Matters (New York: John Wiley & Sons, Inc.)

1990   Discrete Mathematics Study Guide (New York: Macmillan)
 
 

2008  "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.
 
 

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.

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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