**RESOURCES
/ TEXTS? / REFERENCES**

** **

** **

**Resources for worksheets
and activities for elementary mathematics history course:**

1) Activity books by Claudia
Zaslavsky, Beatrice Lumpkin, Frank Swetz, and others, including:

Lumpkin,
Beatrice, *Algebra Activities from Many Cultures*, J. Weston Walch, Portland, Maine, 1997.

Lumpkin,
Beatrice and Dorothy Strong, *Multicultural Science and Math Connections*, J. Weston Walch,

Portland,
Maine, 1995.

Swetz,
Frank J., *Learning Activities from the History of Mathematics*, J. Weston Walch, Portland, Maine,

1994.

Zaslavsky, Claudia, *Multicultural Math: Hand-on
Math Activities from Around the World,*

Scholastic
Books, Jefferson City, Missouri, 1994.

Zaslavsky, Claudia, *Multicultural Mathematics:
Interdisciplinary Cooperative-Learning Activities,*

J.
Weston Walch, Portland, Maine, 1993.

2) Jacobs, Harold R., *Mathematics:
A Human Endeavor,* W.H. Freeman, New
York, 1994

See especially the
explorations of the Fibonacci sequence and of Euler paths and circuits.

3) *Historical
Modules for the Teaching and Learning of Secondary Mathematics* (CD), Mathematical Association of
America, Washington, D.C., 2003, including:

Beery,
Janet, Linda Shuey, Connie Dolezal, and Angi Sauk, *Lengths, Areas, and
Volumes*

Shuey, Linda, Connie Dolezal,
Angi Sauk, Gary Cochell, and Janet Beery, *The Story of Negative Numbers*

4) Private reserves,
including:

Avelsgaard, Carol, *History of Algebra Laboratory
Exercises* (unpublished classroom
activities), Middlesex

Community
College, Middlesex, New Jersey, 1996.

Dunham,
William, *Problems for Great Theorems*
(unpublished problem sets to accompany *Journey Through*

*Genius: The Great Theorems
of Mathematics*), Muhlenberg College,
Allentown, Pennsylvania, 1994.

Harrigan, Mary, *Activities for Mathematics 109,* *The Mathematical Experience* (unpublished classroom

activities),
Nazareth College, Rochester, New York, 1995-1998.

** **

** **

**Videos for elementary
mathematics history course: **

*Project Mathematics!* videos by Tom Apostol, California Institute of Technology,
Pasadena, including:

Early History of Mathematics
(2000)

Theorem of Pythagoras (1988)

Story of p (1989)

PBS *Life by the Numbers* series, especially the segment on perspective drawing
from Episode 1

** **

** **

**Texts for elementary mathematics
history course: **

1) A bit difficult for
audience, but workable:

Bunt, Jones, and Bedient –
Dover Publications (paperback)

Bunt,
Lucas N.H., Phillip S. Jones, and Jack D. Bedient, *The Historical Roots of
Elementary Mathematics,* Dover
Publications, New York, 1988.

W. Dunham – Penguin
Paperbacks

Dunham, William, *Journey Through Genius: The Great
Theorems of Mathematics,* John Wiley
and Sons, New York, 1990.

Howard Eves – MAA
(paperback)

Eves, Howard, *Great Moments in Mathematics (Before
1650),* Mathematical Association of
America, Washington, D.C., 1983.

G.G. Joseph – Princeton
Paperbacks

Joseph, George Gheverghese, *The
Crest of the Peacock: Non-European Roots of Mathematics, *Princeton

University Press, New Jersey,
2000.

2) Standard liberal arts /
finite math textbook with lots of history:

Johnson and Mowry – Brooks/Cole

Johnson, David, and Thomas Mowry, *Mathematics: A
Practical Odyssey,* Brooks/Cole, Pacific
Grove, California, 2001.

3) Relatively new text whose
users say it is at right level for students but have concerns about historical
accuracy and tone:

Lewinter and Widulski –
Prentice Hall

Lewinter, Marty, and William Widulski, *The Saga of Mathematics:
A Brief History,* Prentice Hall, Upper
Saddle River, New Jersey, 2002.

**4) Assemble your own!**

Copyright Clearance
Center: http://www.copyright.com

Sources for readings for elementary
mathematics history course:

Burton,
David, *The History of Mathematics: An Introduction,* McGraw-Hill, New York, 1997.

Consortium
for Mathematics and Its Applications (COMAP), *Historical Notes: Mathematics Through
the Ages,* Lexington, Massachusetts, 1992,
contains 27 short, readable articles such as:

Dauben,
Joseph W., “Learning the Ropes: The Origins of Geometry”

Dunham, William, *Journey Through Genius: The Great
Theorems of Mathematics,* John Wiley
and Sons,

New
York, 1990.

Eves,
Howard,* An Introduction to the History of Mathematics* (6^{th} ed.), Saunders College Publishing, New
York, 1990.

Hogben, Lancelot, *The Wonderful World of
Mathematics,* Doubleday, Garden City,
New York, 1955.

Hogben, Lancelot. *Mathematics
in the Making*. Doubleday, New York,
1960.

Johnson,
Art, *Classic Math: History Topics for the Classroom,* Dale Seymour Publications, Palo Alto, California,
1994.

Johnson, David, and Thomas Mowry, *Mathematics: A
Practical Odyssey,* Brooks/Cole, Pacific
Grove, California, 2001.

*Los Angeles Times* and other newspaper articles

Mathematical Association of America (MAA) journals,
especially *Math Horizons,*
Washington, D.C.

National Council of Teachers of Mathematics (NCTM)
journals, including *Teaching Children Mathematics, *

*Mathematics Teaching in the Middle
School,* and *Mathematics
Teacher,* Reston,
Virginia

Ore, Oystein, *Number Theory
and Its History, *Dover Publications, New
York, 1976.

Perl, Teri, *Math Equals,* Addison-Wesley, Menlo Park, California, 1978.

Smith,
Sanderson M., *Agnesi to Zeno: Over 100 Vignettes from the History of
Mathematics,* Key Curriculum

Press,
Berkeley, California, 1996.

Swetz, Frank, editor. *From
Five Fingers to Infinity*, Open Court,
Chicago, 1994, an anthology of articles from MAA journals and other sources;
contains such gems as:

Schmandt-Besserat,
Denise, “Oneness, Twoness, Threeness: How Ancient Accountants Invented Numbers”

Zaslavsky, Claudia, *Africa Counts: Number and
Pattern in African Culture,* Lawrence
Hill Books, Brooklyn, New York, 1990.

** **

**Internet
Site: **The MacTutor History of Mathematics Archive, based at
the University of St. Andrews, Scotland, contains a wealth of information and
resources. To access its index, go to:

www-history.mcs.st-andrews.ac.uk/history/index.html

For
biographies of mathematicians, such as Newton and Euler, see:

(These
addresses were correct as of August 2002.)

Other references:

** **

Aaboe,
Asger, *Episodes from the Early History of Mathematics*, Mathematical Association of America,

Washington, D.C., 1998.

Ascher, Marcia, *Ethnomathematics: A Multicultural
View of Mathematical Ideas,* Chapman
and Hall,

New
York, 1991.

Bag, A. K., *Mathematics
in Ancient and Medieval India*,
Chaukhambha Orientalia, New Delhi, 1982.

Bashmakova, Isabella, and Galina Smirnova.
*The Beginnings and Evolution of Algebra*, Mathematical Association of America, Washington, D.C., 2000.

Beckmann, Petr, *A History of Pi,* St. Martin's Press, New York, 1971.

Berggren,
L., J. Borwein, and P. Borwein (eds.), *Pi: A Source Book,* Springer-Verlag, New York, 1997.

Berlinghoff, William P. and Fernando Q.
Gouvea, *Math Through the Ages: A Gentle Introduction for Teachers and
Others,*
Mathematical Association of America, Washington, D.C., 2002.

Boyer,
Carl B., and Uta C. Merzbach, *A History of Mathematics* (2^{nd} edition), Wiley, New York, 1991.

Cajori, Florian. *A History
of Elementary Mathematics*. MacMillan,
New York, 1924.

Calinger, Ronald (ed.), *Classics of Mathematics,* Prentice-Hall, Englewood Cliffs, New Jersey, 1995.

Chace, Arnold
Buffum, *The Rhind Mathematical Papyrus*, National Council of Teachers of

Mathematics,
Reston, Virginia, 1979.

Closs, Michael P. (ed.), *Native American
Mathematics,* University of Texas
Press, Austin, Texas, 1986.

Cooke, Roger. *The History
of Mathematics*. Wiley, New York,
1997.

Dilke,
O.A.W., *Mathematics and Measurement*,
British Museum Publications, London, and University

of California Press, Berkeley, 1987.

Eagle, Ruth, *Exploring
Mathematics Through History*,
Cambridge University Press, 1995.

Fowler,
David and Eleanor Robson, “Square Root Approximations in Old Babylonian
Mathematics:

YBC 7289 in Context,” *Historia Mathematica,* 25 (1998), 366-378.

Fowler, D. H.,
*The Mathematics of Plato’s Academy*, Clarendon Press, Oxford, 1987.

Gerdes,
Paulus, *Geometry from Africa: Mathematical and Educational Explorations, *Mathematical

Association
of America, Washington, D.C., 1999.

Gillings, Richard J., *Mathematics in the Time of
the Pharaohs,* Dover Publications, New
York, 1982.

Grattan-Guinness, Ivor, *Norton History of the
Mathematical Sciences,* W.W. Norton,
New York, 1998.

Grover,
Sudarshan, *History of Development of Mathematics in India*, Atma Ram and Sons, New Delhi,

1993.

Grunbaum, Branko, and G.C.
Shephard, “Pick’s Theorem,” *American Mathematical Monthly*, 100:2

(February,
1993), 150-161.

Heath,
Sir Thomas, *A History of Greek Mathematics* (2 vols.), Dover Publications, New York, 1981.

Heath, Sir Thomas, *Euclid: The Elements* (3 vols.), St. John's College Press, Annapolis,
Maryland, 1947.

Ifrah, Georges, *From One
to Zero: A Universal History of Numbers*,
Viking Penguin, New York, 1987.

Katz, Victor J., *A History of Mathematics: An
Introduction,* Addison-Wesley,
Reading, Massachusetts, 1998.

Kline, Morris, *Mathematical Thought from Ancient to
Modern Times *(3 vols.), Oxford
University Press,

New
York, 1990.

Lam Lay Yong. “Jui
Zhang Suanshu (Nine Chapters on the Mathematical Art): An Overview.” *Archive
for *

*History
of Exact Sciences* 47:1 (1994), pages
1-51.

Li Yan and Du
Shiran, *Chinese Mathematics*,
Clarendon Press, Oxford, 1987.

Nelsen, Roger B., *Proofs Without Words: Exercises
in Visual Thinking,* Mathematical
Association of

America,
Washington, D.C., 1993.

Rashed, Roshdi, *The Development of Arabic
Mathematics: Between Arithmetic and Algebra*. Kluwer Academic Publishers, The Netherlands, 1994.

Recorde, Robert. *Whetstone of Witte*. London, 1557 (facsimile). Da Capo Press, New York,
1969.

Recorde, Robert, *The Pathway to Knowledge,
Containing the First Principles of Geometrie,*
facsimile of

1551 edition, Walter J.
Johnson, Inc., Amsterdam, 1974.

Robson, Eleanor,
“Counting in Cuneiform,” *Mathematics in School*, 27:4 (September, 1998).

Robson, Eleanor,
“Mesopotamian Mathematics: Some Historical Background,” in *Using
History to Teach*

*Mathematics:
An International Perspective* (Victor
Katz, ed.), Mathematical Association of America,

Washington,
D.C., 2000, 149-158.

Schwartzman, Steven, *The
Words of Mathematics: An Etymological Dictionary of Mathematical Terms *

*Used
in English,* Mathematical Association
of America, Washington, D.C., 1994.

* *

Seattle Public
Schools, *Multicultural Mathematics Posters and Activities*, National Council of Teachers of

Mathematics,
Reston, Virginia, 1984.

Serra,
Michael, *Discovering Geometry: An Inductive Approach,* Key Curriculum Press, Berkeley, California,

1997.

Stein,
Sherman, *Archimedes: What Did He Do Besides Cry Eureka?,* Mathematical Association of America,

Washington, D.C., 1999.

Stillwell,
John, *Mathematics and its History,*
Springer-Verlag, New York, 1989.

Straffin, Philip D., “Liu Hui and the First
Golden Age of Chinese Mathematics,” *Mathematics Magazine,*

71 (1998), 163-181.

Struik,
Dirk J., *A Concise History of Mathematics*, Dover Publications, 1987.

Swetz, Frank J., and T.I. Kao, *Was Pythagoras
Chinese?: An Examination of Right Triangle Theory in *

* Ancient
China,* National Council of Teachers
of Mathematics, Reston, Virginia, 1977.

van der Waerden, B.L., *Geometry and Algebra in
Ancient Civilizations*,
Springer-Verlag, Berlin, 1983.

van der Waerden, B.L., *Science Awakening I *(3rd ed.), Wolters-Noordhoff Publishing, Groningen,
The

Netherlands, 1971.