Table of Contents

July 2008 through December 2009

Since Loci officially began publication in the summer of 2008, when it was formed from the merger of JOMA, DCR, and Convergence, Volume 1 covers the period from the beginning of publication to the end of calendar year 2009. Future volumes will correspond with calendar years. The items from calendar years 2008 and 2009 are listed separately below.

Featured Items

January 2009 through December 2009

• Google-opoly by Timothy Chartier, Erich Kreutzer, Amy Langville, and Kathryn Pedings
• A Gallery of Ray Tracing for Geometers by Michael Grady
• Trisecting a Line Segment (With World Record Efficiency!) by Robert Styer
• Thinking Outside the Box -- or Maybe Just About the Box by David Meel and Thomas Hern
• Seashells: the Plainness and Beauty of Their Mathematical Description by Jorge Picado
• Visualizing Lie Subalgebras using Root and Weight Diagrams by Aaron Wangberg and Tevian Dray
• Math on the Web Made Easier by Thomas E. Leathrum

July 2008 through December 2008

• Generalized Baseball Curves: Three Symmetries and You're In! by Dean Allison, Ricardo Diaz, and Nathaniel Miller
• Modeling a Changing World by Tim Chartier and Nicholas Dovidio
• Chemical Graph Theory by Kimberly Jordan Burch
• Mathematical Brooding over an Egg by Andre Heck

Loci: Convergence

January 2009 through December 2009

• "In these numbers we use no fractions": A Classroom Module on Stevin's Decimal Numbers by Kathleen M. Clark
• The Classic Greek Ladder and Newton's Method by Robert J. Wisner
• A Modern Vision of the Work of Cardano and Ferrari on Quartics by Harald Helfgott and Michel Helfgott
• Sums of Powers of Positive Integers by Janet Beery
• Investigating Euler's Polyhedral Formula Using Original Sources by Lee Stemkoski
• James Gregory and the Pappus-Guldin Theorem by Andrew Leahy

reports

• HOM SIGMAA 2009 Award Winners by Amy Shell-Gellasch
• A Locally Compact REU in the History of Mathematics: Involving Undergraduates in Research by Betty Mayfield and Kimberly Tysdal

reviews

• The Mayan and Other Ancient Calendars, by Geoff Stray. Reviewed by Lawrence Shirley.
• Euler's Gem: The Polyhedron Formula and the Birth of Topology, by David S. Richeson. Reviewed by Clifford Wagner.
• Mathematics in India, by Kim Plofker. Reviewed by Frank J. Swetz.
• The Mathematics of the Heavens and the Earth: the Early History of Trigonometry, by Glen Van Brummelen. Reviewed by Frank J. Swetz.
• Mathematical Works Printed in the Americas, 1554-1700, by Bruce Stanley Burdick. Reviewed by Frank J. Swetz.
• Mathematicians: An Outer View of the Inner World, by Mariana Cook. Reviewed by Frank J. Swetz. 
• Pythagoras’  Revenge: A Mathematical Mystery, by Arturo Sangalli.  Reviewed by James Kiernan.
• Euclidean and Non-Euclidean Geometries: Development and History, by Marvin Jay Greenberg.  Reviewed by Eugene Boman.

July 2008 through December 2008

• Napier's e by Amy Shell-Gellasch
• The Quipu by Frank J. Swetz
• Apportioning Representatives in the United States Congress by Michael J. Caulfield
• Triangles in the Sky: Trigonometry and Early Theories of Planetary Motion by Sandra M. Caravella
• Introducing the History of Mathematics: An Italian Experience Using Original Documents by Adriano Dematte

reports

• HOM SIGMAA Student Paper Contest Winners by Victor J. Katz

reviews

• Mathematics in Ancient Iraq: A Social History, by Eleanor Robson. Reviewed by Frank J. Swetz.
• Mathematical Expeditions: Chronicles by the Explorers, by Reinhard Laubenbacher and David Pengelley. Reviewed by Jim Kiernan.
• Sacred Mathematics: Japanese Temple Geometry, by Fukagawa Hidetoshi and Tony Rothman. Reviewed by Frank J. Swetz.
• Tools of American Mathematics Teaching, 1800-2000, by Peggy Aldrich Kidwell, Amy Ackerberg-Hastings, and David Lindsay Roberts. Reviewed by Don Crossfield.

Loci: Resources

January 2009 through December 2009

• Linear Transformations of Points by Marc Renault
• Images of F by Steve Phelps
• Probability Aquarium by Melissa Jackson, Kady Schneiter
• OneStone Pebbles by Dave Richards (3 resources)
• Applets and Activities for Real Analysis by Lee Stemkoski, Christopher Storm (5 resources)

July 2008 through December 2008

• Standard Deviation Applet by Kady Schneiter
• Mean and Median Applet by Kady Schneiter
• Exploring Cycle Notation by James Hamblin
• Derivative Matching Game by Barbara Margolius
• The Beauty of Parametric Curves by Barbara Kaskosz
• PascGalois Abstract Algebra Classroom Resources by Mike Bardzell, Jennifer Bergner, Kathleen Shannon, Don Spickler, Tyler Evans
• PascGalois Number Theory Classroom Resources by Michael Fisher, Mike Bardzell, Kurt Ludwick
• PascGalois Mathematics for Elementary Education Classroom Resources by Cynthia Woodburn, Nancy Zumoff
• Average Value of a Hand-Drawn Function by Daniel Gries
• Area from Hand-Drawn Functions by Daniel Gries
• Simple Row Reducer by Daniel Gries

Loci: Developers (2009)

• Creating Photo-realistic Images and Animations by Michael Grady
• Open Standards, Web-Based Mathlets: Making Interactive Tutorials Using the HTML5 canvas Element by Shane Steinert-Threlkeld and J. Tilak Ratnanather
• How Easy is 'Easy Java Simulations' Programming? by Tim Chartier and Erich Kreutzer

Loci: Departments (2009)

Supplements

• The Kuratowski Closure-Complement Problem by Mark Bowron
• The Trouble with von Koch Curves Built from n-gons by Tamás Keleti and Elliot Paquette
• Interactive Supplements to Rick's Tricky Six Puzzle by Doug Ensley

Commentaries

• Notes from the Editor
• Editor's Reflections on 2009

Announcements

• Joint Math Meetings 2010
• MKM/DML Gathering at Joint Meetings
• ICTCM 2010
• MathFest 2010
• MAA Section Meetings
• MAA and Loci on Twitter!
• MathFest 2009
• ICTCM 2009

for past volumes, see The JOMA Archive

see also Convergence Contents