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 any of my courses,
you may submit up to five 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. All readings are due NO LATER THAN the last class meeting day of your math course.
There are three journals which regularly carry articles suitable
for undergraduate students to read. These are:
Math Horizons, published four times each year by
the Mathematics Association of America;
Pi Mu Epsilon Journal, published by the national
mathematics honors society, and
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. 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.
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
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. Worlds 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 |
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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.
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.
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.
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 |
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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.
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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 |
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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 |
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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.
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