Editor: Janet Beery
Associate Editors: Amy Ackerberg-Hastings, Janet Barnett, Kathleen Clark, Lawrence D'Antonio, Douglas Ensley, Victor Katz, Daniel Otero, Gabriela Sanchis, Randy Schwartz, Lee Stemkoski, Gary Stoudt
Founding Editors: Victor Katz, Frank Swetz
Alan Turing in America, by David E. Zitarelli
Alan Turing visited the United States during 1936-38 and 1942-43. Two of Turing's greatest accomplishments, in logic and computer design, were influenced by the first of these two visits.
Euclid21: Euclid's Elements for the 21st Century, by Eugene Boman, Alexandra Milbrand, Tyler Brown, Siddharth Dahiya, Joseph Roberge, and Mary Boman
A dynamic, interactive Euclid's Elements organized as a directed graph via its logical structure
Bridging the Gap Between Theory and Practice: Astronomical Instruments, by Toke Knudsen
Students in the author's Ancient Mathematical Astronomy course build armillary spheres, astrolabes, quadrants, sextants, and sundials.
Pantas’ Cabinet of Mathematical Wonders: Images and the History of Mathematics, by Frank J. Swetz
Engage your students by using images, especially those of historical objects, manuscripts, and texts, in teaching mathematics.
HOM SIGMAA 2015 Student Paper Contest Winners
Download the two winning papers from the 12th annual competition, a biography of Bernard Bolzano and a philosophical consideration of mistakes in mathematics.
Can You Really Derive Conic Formulae from a Cone?, by Gary S. Stoudt
Attempts to double the cube led ancient Greek mathematicians to discover and develop the conic sections.
Jan Hudde’s Second Letter: On Maxima and Minima. Translated into English, with a Brief Introduction, by Daniel J. Curtin
Optimization via algebra and arithmetic progressions with an early appearance of the Quotient Rule
Problems for Journey Through Genius: The Great Theorems of Mathematics, by William Dunham
The author shares 162 problems to help you turn his popular book into a textbook.
Euler and the Bernoullis: Learning by Teaching, by Paul Bedard
The author reflects on lessons he has learned about mathematics teaching and learning from these great mathematicians.
A GeoGebra Rendition of One of Omar Khayyam's Solutions for a Cubic Equation, by Deborah Kent and Milan Sherman
How the 11th century Persian mathematician, philosopher, and poet geometrically determined a positive real solution to a cubic equation
Oliver Byrne: The Matisse of Mathematics, by Susan M. Hawes and Sid Kolpas
The most complete biography of Byrne to date, along with tips for teaching with his famous Euclid in Colours
The 'Problem of Points' and Perseverance, by Keith Devlin
How Pascal's and Fermat's unfinished game can help teach today's students both probability and persistence
Geometric Algebra in the Classroom, by Patricia R. Allaire and Robert E. Bradley
Geometric approaches to the quadratic equation from 1700 BCE to the present
D'Alembert, Lagrange, and Reduction of Order, by Sarah Cummings and Adam Parker
Two historical approaches, one familiar and one unfamiliar, to enrich your ODE classroom
Ancient Indian Rope Geometry in the Classroom, by Cynthia J. Huffman and Scott V. Thuong
Activities, applets, and information to help students explore the geometry of altar construction in ancient India
The Cambodian Zero, by Frank J. Swetz with photos by Amir Aczel
Popular mathematics writer Amir Aczel (1950-2015) tracked down the rumored Khmer zero carved into a stone stele in 683 CE.
Some Original Sources for Modern Tales of Thales, by Michael Molinsky
Earliest known sources for stories about Thales and applets illustrating methods attributed to him
Pythagorean Cuts, by Martin Bonsangue and Harris Shultz
Euclid's proof of the Pythagorean Theorem can be adapted to shapes other than squares.
Geometrical Representation of Arithmetic Series, by Gautami Bhowmik
Hints of geometry in medieval Sanskrit arithmetic texts developed for your classroom
Edmund Halley, 1740, by Andrew Wynn Owen
An historical poem by a prize-winning Oxford poet in the form of an autobiographical reflection by Edmund Halley
Mathematical Treasures, by Frank J. Swetz
Index to Mathematical Treasures Collection: Images of historical texts and objects from libraries, museums, and individuals around the world for use in your classroom!
Mathematical Treasures added during 2015:
Early Calculating Machines (1st C. - 19th C.)
Bakhshali Manuscript (date unknown)
The Cambodian Zero (683 CE)
Codex Mexicanus of the Maya (12th C.–1814)
Commandino's Archimedes (1558)
Works of Christopher Clavius (1586, 1587, 1596, 1608)
Keckermann's Compendium of Mathematics (1603/1661)
Euclidis Posteriores of Christopher Clavius (1607/1654)
Bachet's Arithmetic of Diophantus (1621/1670)
Mathematicall Recreations in English (1633/1674)
Tacquet's Euclid and Archimedes (1654/1747)
Oughtred's Euclid Clarified (1662)
Jonas Moore's Mathematicks (1681)
Treasury of Mathematicks (1687)
Berkeley's "Arithmeticae" (1707)
Chambers' English Cyclopaedia (1728/1738)
George Berkeley's The Analyst (1734/1871)
Berkeley: "In Defence of Free-Thinking in Mathematics" (1735)
Robert Simson on Conic Sections (1749/1804)
Thomas Simpson on Fluxions (1750/1805)
Hill's Arithmetick (11th ed., 1772)
Early American Arithmetic Texts
Textbooks of Sylvestre Lacroix (1795-1826)
Davies' Geometry and Trigonometry (1828/1848)
Boole's Calculus of Finite Differences (1859/1880)
Cayley's Elliptic Functions (1876)
Letter from Sylvester to Kronecker (1884), contributed by Sid Kolpas
Minkowski's Collected Papers (1911)
Geometric Model by Harry Wheeler (1915), contributed by Peggy Kidwell
Review of Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers, by Joseph Mazur. Reviewed by Frank J. Swetz.
The reviewer finds the book to be "lively" and "interesting," but wishes the author would "begin at the beginning."