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Students are encouraged to read about mathematics in sources other than textbooks. To this end, I have compiled a list of relevant readings. You may read articles about mathematics from any of the recommentations below listed for your course or you may find other sources that pertain to the course you are taking. Your textbook also may contain suggested readings. For extra credit in most of my courses, you may submit up to four summaries or critiques of articles relevant to the subject. Encyclopedia articles are NOT acceptable. Each should be no more than one typewritten page in length and should include all relevant information about the source of the article (author, title, journal, date) and will be given five points towards your grade in the course. These points cannot be used all in one place. However you may use up to 10 points on any assignment or test. All readings are due NO LATER THAN the last class meeting day of your math course.



   Mathematics General Top

There are three journals which regularly carry articles suitable for undergraduate students to read. These are:

  1. Math Horizons, published four times each year by the Mathematics Association of America;

  2. Pi Mu Epsilon Journal, published by the national mathematics honors society, and

  3. The Journal of Recreational Mathematics.


Adams, Colin The Pepsi Putnam Challenge The Mathematical Intelligencer. Summer, 2000, Vol. 22 No. 3

Agnew, Robert A. Optimal Congressional Apportionment. The American Mathematical Monthly. Vol. 115:4 (April, 2008) pp 297 - 303.

Balinski, MichelFair Majority Voting (or How to Eliminate Gerrymandering) The American Mathematical Monthly. Vol. 115:2 (February, 2008) pp. 97 - 113

Bern, Marshall W and Ronald L. Graham. The Shortest-Network Problem. Scientific American . January, 1989, pp. 85- 90.

Buyske, Steven G. Famous Nonmathematicians. The American Mathematical Monthly. Nov. 1993, pp. 845-847

Campbell, Douglas and John Higgins, ed. Mathematics -- People, Problems, Results. 3 volumes. Any of the appropriate articles.

Fisher, Gwen L. The Quaternions Quilts. Focus. Vol. 25, January 2005, pp. 4-6.

Gallian, Joseph. Math on Money. math Horizons. Nov. 1995, pp. 10-11.

Gottliev, Daniel Henry. All the Way with Gauss-Bonnett and the Sociology of Mathematics. The American Mathematical Monthly. Vol. 103, July-July, 1996, pp. 457-469.

Hadlock, Charles R. Practicing Mathematics in the Public Arena: Challenges and Outcomes in Some Prominent Case Studies. The American Mathematical Monthly. Vol. 114, December 2007, pp. 849 - 870.

Halmos, Paul R. I Want to be a Mathematician. New York: Springer-Verlag, 1985.

Hayes, Brian. An Adventure in the Nth Dimension. The American Scientist. Vol. 99, (November-December, 2011) pp. 442-457.

Hayes, Brian. How to count. The American Scientist. Vol. 89, (March-April,2001) pp. 110-114.

Hersh, Reuben. Fresh Breezes in the Philosophy of Mathematics. The American Mathematical Monthly. Vol. 102, (Aug. - Sept., 1995) pp. 589-594.

Hill, Denys A. Chaotic Chaos The Mathematical Intelligencer. Summer, 2000, Vol 22, No. 3

Jur, Barbara. "The poetry of Mathematics: Writing Problems as Poetry." Primus. Vol. 1, no. l (March, 1991) pp. 75-81

Kleiner, I. and N. Movshovitz-Hadar. The Role of Paradoxes in the Evolution of Mathematics. the American Mathematical Monthly. Vol. 101, No. 10 , Dec. 1994. pp. 963-974.

Lue and Mike May. Did Mozart Use the Golden Section? American Scientist. Vol. 84 (Mar - Apr. '96) pp. 118-119

Monticino, Michael. A Mathematical Life.. math horizons. Vol. IX (Nov., 2001), pp 29-30.

Newman, James R. ed. The World of Mathematics. 4 Vol. New York: Simon and Schuster, 1956.

Oty, Karla J. Refractive Relief. math horizons. Vol IX (February, 2002), pp 5-8

Pinkham, Roger S. Mathematics and Modern Technology. The American Mathematical Monthly. Vol. 103, Aug-Sept., 1996, pp. 539-545.

Reid, Constance. The Alternative Life of E. T. Bell. The American Mathematical Monthly Vol 108, May, 2001 pp 393 - 402

Reid, Constance. In Search of E. T. Bell. Washington: The Mathematical Association of America, 1993.

Sadovskii, L. E. and A. L. Sadovskii. Mathematics and Sports. Mathematical World. Vol. 3. American Mathematical Society. 1993 (Tennis, Figure skating, rankings, gymnastics, running, jumping, basketball, soccer, etc.)

Snapp,Bart and Chris Snapp. Automotive Number Theory. Math Horizonsy. ( Sept. 2009): 26 - 27. also at www.maa.org/mathhorizons

Snapper, Ernst. What is Mathematics. The American Mathematical Monthly. Vol. 86. (Aug. - Sept. 1979): 551-557.

Straffin, PHilip D. Jr. The Power of Voting Blocs: An Example. Mathematics Magazine. Jan, 1977, Vol. 50, No. 1, pp. 22-24

Sweet, Elizabeth. "Mathematician at Work." Math Horizons. Sept., 1994. p. 26.

   Calculus Top

Ahern, Stephen T. Tolstoy's Integration Metaphor from War and Peace The American Mathematical Monthly. 112:7 (August -September, 2005) pp. 631-638.

Asiala, M., J. Cottrill, E. Dubinsky, and K. Schwingendorf. The development of students’ graphical understanding of the derivative. Under review, spring ‘97.

Breidenback, D., E. Dubinsky, J. Hawks, and D. Nichols. Development of the process conception of function. Educational Studies in Mathematics, Vol. 23, pp 247-285 (1992).

Clark, J., F. Cordero, J. Cottrill, B. Czarnocha, D. DeVries, D. St. John, G. Tolias, and D. Vidakovic. Constructing a schema: the case of the chain rule. Under review, spring ‘97.

Cottrill, J., E. Dubinski, D. Nichols, K. Schwingendorf, K. Thomas, and D. Vidakov. Understanding the limit concept: beginning with a coordinated process schema. Journal of Mathematical Behavior. Vol. 15, pp 167-192 (1996).

Dunham, William Touring the Calculus Gallery. The American Mathematical Monthly January, 2005, Volume 112, pp 1 - 19.

Grabiner, Judith. Cauchy and the Origins of Rigorous Calculus. American Mathematical Monthly. Mar 83

Hayes, Brian. Speaking of Mathematics. American Scientist. Vol. 84 (Mar-Apr.' 96) pp 110-113

Nievergelt, Yves. Is Optimal Pricing a Myth from Business Calculus? Is business Calculus an Oxymoron? The American Mathematical Monthly. Vol. 103 (Feb., 1996) pp. 143-148.

Pritchard, William G and Jonathan K. Pritchard. Mathematical Models of Running. American Scientist. Vol. 82 No. 6 (Nov. - Dec., 1994) pp 546-553.

Tong, Jingcheng. Kummer's Test Gives Characterizations for Convergence or Divergence of All Positive Series. The American Mathematical Monthly. May 1994, pp 450-452

   Number Theory Top

Alperin, Roger C. The Modular Tree of Pythagoras. The American Matheamtical Monthly. Vol. 112 (Nov., 2005) pp. 807 - 816.

Berkovich, Efraim. A Diophantine Equation. Pi Mu Epsilon Journal. Vol. 10 (Spring, 1995) pp 104-105.

Brown, Ezra. Three Connections to Continued Fractions. Pi Mu Epsilon Journal. Vol. 11 (Fall, 2002) pp 353-362.

Cox, David A. Introduction to Fermat's Last Theorem. The American Mathematical Monthly. Vol. 101, (Jan., 1994) pp 3-14.

Dalezman, Michael. From 30 to 60 is Not Twice as Hard. Mathematics Magazine. Vol 73 (Feb., 2000); 151-53.

Devlin, Keith. World’s Largest Prime. Focus (The newsletter of the Mathematical Association of America) Vol. 17, (December, 1997) p 1.

Diffie, and Susan Landau. September 11th Did Not Change Cryptophraphy Policy. Notices of the American Mathematical Society. Vol. 49 (April, 2002); 448 - 464.

Dodge, Chayton W. What is a Proof? Pi Mu Epsilon Journal Vol. 10, (Fall, 1998) p725-727.

Dudley, Underwood. Numerology; or, What Pythagoras Wrought. Washington, D.C. Mathematcal Assn. of America, 1997

Frederickson, Greg N. Polishing some Visual Gems. Math Horizons (Sept. 2009): 21 - 25. also at www.maa.org/mathhorizons

Fried, John J. Can you keep a SECRET? The Philadelphia Inquirer, tech. life section, p. F1-F2.

Gallian, J. S. The Mathematics of Identyification Numbers. The College Mathematics Journal. Vol 22, (1991) pp 194-202.

Goldman, Jay. The Queen of Mathematics: A Historically Motivated Guild to Number Theory. Wellesley, Mass: A. K. Peters, 1998.

Granville, Andrew. Prime Number Patterns. The American Matheamtical Monthly. Vol. 115 (April, 2008) pp. 279 - 296.

Guy, Richard K. Nothing's New in Number Theory? The American Mathematical Monthly. Vol. 105 (Dec., 1998) pp 951-954

Hayes, Brian. The Magic Words are Squeamish Ossifrage. American Scientist. Vol. 82 (July-August, 1994) pp 312-316

Ishikawa, Tsuneo, Nobuhiko Ishida and Yoshito Yukimoto On Prime Factors of A^n -1. The American Mathematical Monthly. Vol. 111 (March, 2004) pp 243-245

Khovanova, TaAnya A Story of Storytelling Numbers. Math Horizons. (Sept. 2009): 14 - 17. also at www.maa.org/mathhorizons

Lamport, Leslie. How to Write a Proof. The American Mathematical Monthly. Vol. 102, (Aug.- Sept., 1995) pp 600-608.

Mackey, Michael and Moises Santillan. Mathematics, Biology and Physics: Interactions and Interdependence. Notices of the American Mathematical Society. 52:8 (September, 2005); 832 - 840.

Pasles, Paul C. Some Magic Squares of Distinction. Math Horizons. (February, 2004) pp 10-12.

Plummer, Phil. Divisibility tests for primes greater than 5. Pi Mu Epsilon Journal. Vol. 10 (Spring, 1995) pp 96-98.

Prime number Student Finds Largest Known Prime Number CNN.com Dec. 11, 2003 http://www.cnn.com/2003/TECH/science/12/11/prime.number.ap/index.html

Snapp, Bart and Chris Snapp. Automotive Number Theory. Math Horizons. (Sept. 2009): 26 - 27. also at www.maa.org/mathhorizons

Snapper, Ernst. What is Mathematics? American Mathematical Monthly. Vol. 86. (Aug. - Sept. 1979): 551-557.

Waldman, Harry. Tom Lehrer, Mathematician and Musician. Math Horizons. April, 1997 p. 13. (Please also read pp. 14-15.)

  Fundamental Ideas / Discrete Structures Top

Brams, Steven J. and Alan D. Taylor. An Envy-Free Cake Division Protocol. The American Mathematical Monthly. Vol. 102, No. 1. Jan. 1995, pp 9-18.

Bronstein, Victor and Aviezri S. Fraenkel. On a Curious Property of Counting Sequences. The American Mathematical Monthly. June-July 1994, pp. 560-562

Buhler, Joe, David Eisenbud, Ron Graham, and Colin Wright. Juggling Drops and Descents. The American Mathematical Monthly. June-July 1994, pp. 507-519

Fallis, Don. Mathematical Proof and the Reliability of DNA Evidence. The American Mathematical Monthly. Vol. 103, July-July, 1996, pp 491-497.

Gardner, Martin. Aha! Gotcha: Paradoxes to Puzzle and Delight. New York: Freeman, 1981. See the chapter "The Infinite Hotel."

Hamalainen, Heikki, Iro Honkala, Simon Litsyn and Patric Ostergard. Football Pools--A Game For Mathematicians. The American Mathematical Monthly. Vol. 102 (Aug.-Sept., 1995) pp 579-588

Hayes, Brian, Third Base. The American Scientist. Vol. 89 (Nov. - Dec., 2001) pp 490 - 494

Hayes, Brian, Bugs that Count. The American Scientist. Vol. 92 (Sept.-Oct., 2004) pp 490 - 494

Horn, Roger A and Ingram Olkin. When Does A*A=B*B and Why Does One Want to Know? The American Mathematical Monthly. Vol. 103, July-July, 1996, pp 470-482.

Schilling, Mark F. Sequential Partitioning. The Pi Mu Epsilon Journal. Nov. 1992, pp. 847-855

Tanton, James. A Dozen Questions About the Powers of Two. math horizons. Vol. 9 (Sept. 2001), pp 5 - 10.

   Linear Algebra Top

Berrick, A. J. And M. E. Keating. Rectangular Invertible Matrices. The American Mathematical Monthly. April, 1997 , pp. 297-302.

Crowley, Mary L. And Ken Dunn. The Mathematics Portfolio. The American Mathematical Monthly. Vol. 102 (Jan., 1995) pp 19-22.

Edelman, Alan and Gilbert Strang. Pascal Matrices. The American Mathematical Monthly. Vol. 111 (March, 2004) pp 189-197.

Falkner, Neil. A Characterization of Inner Product Spaces. The American Mathematical Monthly. March, 1993, pp. 246-249

Gilbert, William J. Bricklaying and the Hermite Normal Form. The American Mathematical Monthly. March, 1993, pp. 242-245

Hungerford, Thomas W. Future Elementary Teachers: The Neglected Constituency. The American Mathematical Monthly. V.101, No. 1 (Jan., 1994) pp. 15 - 21.

Michael, T. S. The Ranks of Tournament Matrices. The American Mathematical Monthly. Vol. 102, (Aug. -Sept., 1995) pp 637-639

Rogers, Jack W., Jr. Applications of Linear Algebra in Calculus. The American Mathematical Monthly. January, 1997 pp. 20-26.

Strang, Gilbert. Wavelets. American Scientist. Vol. 82 (May-June, 1994), pp 250-255.

   Abstract Algebra Top

Asiala, M., A. Brown, J. Kleiman, and D. Mathews. The Development of Students’ Understanding of Permutations and Symmetries. Internatioanl Journal of Computers of Mathematical Learning. 1997.

Berrick, A. J. And M. E. Keating. Rectangular Invertible Matrices. The American Mathematical Monthly. April, 1997 , pp. 297-302.

Buhler, Joe, David Eisenbud, Ron Graham, and Colin Wright. Juggling Drops and Descents. The American Mathematical Monthly. June-July 1994, pp. 507-519

Cavior, S. R. The Subgroups of the Dihedral Group. Mathematics Magazine. 48 (1975): 107.

Dubinsky, E., J. Dautermann, U. Leron, and R. Zazkis. On learning fundamental concepts of group theory. Educational Studies in Mathematics. Vol. 27, pp 267-305 (1994).

Emert, John W., Kay I. Meeks and Roger B. Nelson. Reflections on a Mira. The American Mathematical Monthly. June-July 1994, pp. 544-549.

Fletcher, Colin R. Rings of Small Order. The Mathematical Gazette. 64 (1980): 9-22.

Gallian, J. A. The Zip Code Bar Code UMAP Journal. 7 (1986): 191-195.

Gallian, J. A. The Mathematics of Identification Numbers. The College Mathematics Journal. 22 (1991): 194-202. Galloway, John, Nature's Second-Favourite Structure. New Scientist. 114 (March, 1988): 36-39. Kinkade, Lillian and Joyce Wagner, When Polynomial Rigns are Principal Ideal Rings. Journal of Undergraduate Mathematics. 23 (1991) 59-62.

Kolata, Gina, "Perfect Shuffles and Their Relation to Math," Science 216 (1982): 505-506.

Leron, R., and E. Dubinsky. An Abstract Algebra Story. The American Mathematical Monthly. Vol. 102, pp 227-242 (1995).

Livio, Mario. The Equation That Couldn't Be Solved. New York: Simon and Schuster, 2005. In particular, read Chapters Five (Galous) and Six (Groups)

MacLane, Saunders. Abstract Algebra Uses Homomorphisms. The American Mathematical Monthly. Vol. 103 (April, 1996) pp 330-331.

Renteln, Paul and Alan Dundes. Foolproof: A Samplikng of Mathematical Folk Humor. Notices of The American Mathematical Society. Vol. 52 (January, 2005) pp 24-34.

Stillwell, John. Galois Theory for Beginners. The American Mathematical Monthly. Vol. 101 No 1, (Jan., 1994) pp 22-27. Wagner, Scott M. Group generators and subgroup lattices. Pi Mu Epsilon Journal. Vol. 10 (Spring, 1995) pp 106-111.

   Geometry Top

Anthony, Holly Garrett and Amy J. Hackenberg. Making Quilts without Sewng: Investigating Planar Symmetries in Southern Quilts. The Mathematics Teacher. Vol. 99, No. 4. (November, 20055) pp. 270-278.

Asimov, Daniel. There's No Space Like Home. math Horizons. Feb., 1996 pp. 10-14.

Emert, John W., Kay I. Meeks and Roger B. Nelson. Reflections on a Mira. The American Mathematical Monthly. June-July 1994, pp. 544-549

Gardner, Martin. The Ant on a 1x1x2. math Horizons. Feb. 1996, pp. 8-9.

Geyler, V. A. One More Construction Which is Impossible. The American Mathematical Monthly. Vol. 102, (Aug.-Sept., 1995) pp. 632-634

Giamati, Claudia. Conjectures in Geometry and The Geometer's Sketchpad. The Mathematics Teacher. Vol. 88, No. 6. (Sept. 1995) pp. 457-458.

Groth, Randall E. Linking Theory and Practice in Teaching Geometry. The Mathematics Teacher. 99:1 (August, 2005) pp. 27 - 35.

Harkenss, Shelly Sheats. Geometry of Transformations: Teacher and Unit Under Construction The Mathematics Teacher. 99:2 (September, 2005) pp. 88 - 95.

Hayes, Brian. Pleasures of Plication. American Scientist, Vol. 83, (Nov.-Dec., 1995) pp. 504-509.

Liu, Andy. Counting Sides and Angles. math Horizons. Feb., 1996. pp. 16-17. May, Mike. Did Mozart Use the Golden Section? American Scientist. Vol. 84 (Mar-Apr. '96) pp. 118-119

Nihei, Masakazu. On the girth of regular planar graphs. Pi Mu Epsilon Journal. Vol. 10 (Fall, 1995) pp 186-190.

Parker, Dennis. Partitioning the Inerior of a Circle with Chords. The Mathematics Teacher. 99:2 (September, 2005) pp 120 - 125.

Ruane, P. M. Geometry: If not, why not? If so, what? Focus 26:9 (December, 2006) pp 10 - 12.

Sabinin, P. and M. G. Stone. Transforming n-gons by Folding the Plane. The American Mathematical Monthly. Vol. 102, (Aug. -Sept., 1995) pp 620-627

Scher, Daniel P. Folded Paper, Dynamic Geometry, and Proof: A Three-Tier Approach to the Comics. The Mathematics Teacher. vol. 89, No. 3 (March, 1996) pp 188-193.

Singer, David A. Isometries of the Plane. The American Mathematical Monthly. Vol. 102, (Aug. -Sept., 1995) pp 628-631

   Probability and Statistics Top

Bonsall, Mark. Prediction in insurance. Pi Mu Epsilon Journal. Vol. 10 (Fall, 1995) pp 191-193.

Bower, Bruce Null Science. Science News 1997. http://www.sciencenews.org/sn_arc97/6_7_97/bob1.htm

Fallis, Don. Mathematical Proof and the Reliability of DNA Evidence. The American Mathematical Monthly. Vol. 103, July, 1996, pp 491-497.

Fowler, David. The Binomial Coefficient Function. The American Mathematical Monthly. 103:1 (Jan., 1996) pp. 1-17.

Kent, David and Rodney Hayward. When Averages Hide Indiviaual Differences in Clinical Trials. American Scientist. 95:1 (Jan.-Feb. 2007) ppp. 0-68.

Minassian, Donald P. The Current State of Actuarial Science. The American Mathematical Monthly. Vol. 103, August-Sept., 1996, pp 552-561.

Peterson, Ivars The bias of Random Number Generators. Sept. 2003, http://www.maa.org/mathland/mathtrek_09_29_03.html

Slade, Gordon. Random Walks. American Scientist. Vol. 84 (Mar-Apr. '96) pp 146-153

Wheeler, David. The Statistics of Shape. math Horizons. Feb., 1996 pp. 26-28.

   Problem Solving for Teachers Top

Briggs, William. Ants, Bikes and Clocks. Philadelphia: Society for Inductrial and Applied Mathematics, 2005.

Banchoff, Thomas and Peter Gilbin. On the Geometry of Piecewise Circular Curves. The American Mathematical Monthly. May, 1994 pp. 403-416

Bronowski, "The Creative Mind" Science and Human Values. New York: Harper and Row., 1965.

Crowley, Mary L. And Ken Dunn. The Mathematics Portfolio. The American Mathematical Monthly. Vol. 102, No. 1. pp 19-22.

Davis, Derek. The Magician of Math . The Pennsylvania Gazette. (U. of Pa.) Vol. 94, No. 4, Feb., 1996

Hadlock, Charles R. Practicing Mathematics in the Public Arena: Challenges and Outcomes in Some Prominent Case Studies. The American Mathematical Monthly. Vol. 114, December 2007, pp. 849 - 870.

Jungerford, Thomas W. Future Elementary Teachers: The Neglected Constituency. The American Mathematical Monthly. V.101, No. 1 (Jan., 1994) pp. 15 - 21.

Jur, Barbara. "The poetry of Mathematics: Writing Problems as Poetry." Primus. Vol. 1, no. l (March, 1991) pp 75-81

Kung, David. "What I Learned from ... Shutting Up and Listening." MAA Focus. Vol. 28, no. l (January, 2008) pp 16 - 17

Mauer, Stephen B. Disorderly Currencies. The American Mathematical Monthly. May, 1994 p. 419

Poincare, Henri. "Mathematical Creation" Science and Human Values

Polya, George. How to Solve It. 2nd ed. Princeton: Princeton University Press, 1971.

Rubel, Laurie H and Betina A. Aolkower On Blocks, Stairs, and Beyond: Learning about the Significance of Reresentstions. Mathematics Teacher. vol, 101:5, December 2007, pp. 340 - 353.

Rubinstein, Moshe, Patterns of Problem Solving. The chapter "Problem Solving"

Weber, Wendy A. "Asking Questions: Improving Prospective Teacher's Knowledge of Mathematics."
MAA Focus. Vol. 27, no. 9 (December, 2007) pp 14 - 15

   Mathematical Models in Chemistry Top

Bosch, William W. and L. Glen Cobb. Temperature-Humidity Indices. The Journal of Undergraduate Mathematics and Its Applications. Vol. 10 (Fall, 1989), pp 237-257.

Farmer, David W. Groups and Symmetry: A Guide to Discovering Mathematics.

Hoffmann, Roald. A Really Moving Story. The American Scientist. Vol. 87 (Jan-Feb., 1999) pp 21 - 29

Hoffmann, Roald. A Why Think Up New Molecules. The American Scientist. Vol. 96 (Sept.-Oct, 2008) pp 372 -374

Hopfenberg, Harold B. Why Wars Are Lost. American Scientist. Vol. 84 (Mar-Apr. '96), pp 102-104.

Horelick, Brindell and Sinan Koont. Radioactive Chains: Parents and Children. The Journal of Undergraduate Mathematics and Its Applications. Vol. 10 (Fall, 1989), pp 217-236.

Jaswon, M. A. An Introduction to Mathematcial Crystallography.

Johnston, Bernard L. and Fred Richman Numbers and Symmetry: An Introduction to Algebra.

Lewis, Nathan S. Artificial Photosynthesis. American Scientist. Vol. 83 (Nov.-Dec., 1995) pp 534-541.

White, William B., David C. Culver, Janet S. Herman, Thomas C. Kane and John E. Mylroie. Karst Lands. American Scientist. Vol. 83 (Sept.-Oct., 1995) pp 450-459.

See the General list for other suggestions.

   Excursions in Mathematics and Teacher Preparation Top

Albers, Donald and G. L. Alexanderson, ed. Mathematical People: Profiles and Interviews. 1985

Artmann, Benno. A Roman Icosahedron Discovered. The American Mathematical Monthly. Vol. 103 (Feb., 1996) pp 132-133.

Bell, Eric Temple. Men of Mathematics. New York: Simon and Schuster, 1937. (Biographies of PythagorasPierre do Fermat, Leonardo Fibonacci,Marin Mersenne, Leonhard Euler, Diophantus of Alexandria)

Devlin, Keith. World’s Largest Prime. Focus (The newsletter of the Mathematical Association of America) Vol. 17, (December, 1997) p 1.

Diffie, and Susan Landau. September 11th Did Not Change Cryptophraphy Policy. Notices of the American Mathematical Society. Vol. 49 (April, 2002); 448 - 464. Goodman, Nicolas. "Mathematics and an Objective Science." American Mathematical Monthly.

Grabiner, Judith. Is Mathematical Truth Time-Dependent? American Mathematical Monthly. April, 1974

Henle, Jim. Classical Mathematics. The American Mathematical Monthly. Vol. 103 No.1 (Jan., 1996) pp 18-29.

Historical Topics for the Mathematics Classroom: Eves, Howard "The History of the Calculus," Boyer, Carl "The History of the Calculus," Wilder, Raymond. "The Development of Modern Mathematics"

Kline, Morris. Mathematics in Western Culture. Chapters on New Geometries, New Worlds

The Mathematical Theory of Ignorance: The Statistical Approach to the Study of Man

Knuth, Donald. Computer Science and its Relation to Mathematics. American Mathematical Monthly.Apr. 74

Davis, Philip. Are There Coincidences in Mathematics? American Mathematical Monthly. May 81

"Professional Opportunities in the Mathematical Sciences." 38 pp. M.A.A. Booklet.

Rothery, Thomas G. Stepping Up Your Game. The Mathematics Teacher v. 100 (April, 2007) 526 - 533

Ruane, Peter N. The Preparation of Matheamtics Teachers: A British View, Part 1. Focus. May/June, vol. 25:5 pp 30-32.

Senk, Sharon L., Charlene E. Eckmann, and Denisse R. Thompson. Assessment and Grading in High School Mathematics Classrooms. Journal for Research in Mathmatics Education. Vol 28, March, 1997. pp 187-215.

Snapp, Bart and Chris Snapp. Automotive Number Theory. Math Horizons. (Sept. 2009): 26 - 27. also at www.maa.org/mathhorizons

Snapper, Ernst. What is Mathematics? American Mathematical Monthly. Vol. 86. (Aug. - Sept. 1979): 551-557.

Schommer, John J. A Fable of Reform. The American Mathematical Monthly. vol. 103 (Feb., 1996) pp 134-142.

Vazquez, Lorna Thomas . A, E, I, O, U and Always y: A Simple Technique for Improving Communication and Assessent in the Mathematics Classroom. The Mathematics Teacher. 102:1(2008) 16 - 27

Wertheim, Margaret. Pythagoras' Trousers. Math Horizons. Feb., 1996. pp. 5-7.