American Regions Mathematics League

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The American Regions Mathematics League (ARML), is an annual, national high school mathematics team competition held simultaneously at four locations in the United States: the University of Iowa, Penn State, University of Nevada, Reno, and the University of Alabama in Huntsville. [1] Past sites have included San Jose State University, Rutgers University, UNLV, Duke University, and University of Georgia.

Contents

Teams consist of 15 members, which usually represent a large geographic region (such as a state) or a large population center (such as a major city). Some schools also field teams. The competition is held in June, on the first Saturday after Memorial Day.

In 2022, 120 teams competed with about 1800 students. [2]

ARML problems cover a wide variety of mathematical topics including algebra, geometry, number theory, combinatorics, probability, and inequalities. Calculus is not required to successfully complete any problem, but it may facilitate solving the problem more quickly or efficiently. While part of the competition is short-answer based, there is a cooperative team round, and a proof-based power question (also completed as a team). ARML problems are harder than most high school mathematics competitions.

The contest is sponsored by D. E. Shaw & Co. Contest supporters are the American Mathematical Society, Mu Alpha Theta (the National Mathematics Honor Society for High School and Two-Year College students), Star League, Penguin Books, and Princeton University Press. [3]

Competition format

The competition consists of four formal events:

The teams are scored based on the number of points they attained with the maximum being 300 points. Team score ties are broken by first considering the sum of the Team and Power Rounds, then the Relay Round total.

At the end, there is a set of tiebreaker questions to determine the top 20 participants, who receive cash prizes from D. E. Shaw & Co. Each student tied for the highest score (or the highest two scores if there are fewer than 20 tied with the top score) is given up to three tiebreaker questions, one at a time, with the goal of answering correctly as quickly as possible. As soon as a student answers a tiebreaker question correctly, they have finished the tiebreaker. Students are then ranked by individual round score, followed by the time to answer the first tiebreaker question correctly, then the time to answer the second tiebreaker (if applicable), then the third. Students are given 10 minutes to answer the first tiebreaker question, and 6 minutes to answer each of the second and third tiebreaker questions.

In recent years,[ when? ] there has been a super relay, where two groups of seven team members (fourteen in all) both work to give a correct answer to the fifteenth team member. That last team member substitutes two answers into his problem. For logistical reasons, the Super Relay has never counted towards the team score. It was instituted as a "filler" while scores are tabulated. Candies and other goodies are sometimes rewards for the super relay round.

Also in recent years, a song contest has become an informal event at ARML. Each school is allowed to have any number of their students perform a song related to mathematics, usually a parody of a popular song, with its lyrics replaced.

The format of the ARML competition is based on the NYSML competition, but is generally considered[ by whom? ] more difficult than the NYSML competition. This format also inspired the Great Plains Math League.

History

The New York State Mathematics League held its first competition in 1973, a competition intended for New York state teams. A team from Massachusetts asked to participate in the 1974 NYSML competition, and it took first place. This led to the creation of the Atlantic Regions Mathematics League in 1976, which became the American Regions Mathematics League in 1984.

When the Atlantic Regions Mathematics League was founded, the competition was held at a single eastern site that changed from year to year:

YearLocation
1976 C. W. Post College
1977 Brown University
1978 Rutgers University
1979 Brown University
1980 Rutgers University
1981 University of Maryland College Park
1982 University of Maryland College Park
1983 Pennsylvania State University

After 1983, the coordinators decided to keep the competition at Penn State University. ARML expanded to two sites in the late 1980s and to three sites in 1995. In 2008, ARML added a fourth site at the University of Georgia in Athens to better accommodate students in the Southeast, which moved to the University of Alabama in Huntsville in 2020.

The 2006 competition saw significant expansion of about 25% more participants than ever before. Attendance at the western site, UNLV, nearly doubled.

Due to the COVID-19 pandemic, the ARML competition was not held in 2020, and it was only held virtually in 2021.

Past team winners

YearTeam [5] Score
1976 New York City A117 [6]
1977 Massachusetts A148 [7]
1978 Fairfax-Montgomery 135 [8]
1979 New York City A129 [9]
1980 New York City A113 [10]
1981 New York City A166 [11]
1982 New York City A132 [12]
1983 New York City A132 [13]
1984 New York City A162 [14]
1985 Montgomery County, Maryland A157 [15]
1986 New York City A183 [16]
1987 New York City A170 [17]
1988 Chicago A197 [18]
1989 Chicago A187 [19]
1990 Ontario A197 [20]
1991 Ontario A200 [21]
1992 Georgia A172 [22]
1993 Thomas Jefferson A190 [23]
1994 New York City A183 [24]
1995 New York City A126 [25]
1996 San Francisco Bay Area A179 [26]
1997 Minnesota Gold125 [27]
1998 Massachusetts A171 [28]
1999 San Francisco Bay Area A187
2000 Chicago A/San Francisco Bay Area A (tie)172
2001 San Francisco Bay Area A191
2002 Thomas Jefferson A190
2003 Thomas Jefferson A155
2004 Thomas Jefferson A166
2005 Lehigh Valley Fire172
2006 North Carolina A186
2007 Phillips Exeter Red171
2008 New York City A170
2009 Lehigh Valley Fire215
2010 Lehigh Valley Fire204
2011 Lehigh Valley Fire232
2012 North Carolina A223
2013 San Francisco Bay Area A234
2014PEARL (Phillips Exeter Academy Red Lions) A260
2015 San Francisco Bay Area A211
2016San Francisco Bay Area A210
2017San Francisco Bay Area A245
2018Thomas Jefferson High School for Science and Technology A1234
2019Thomas Jefferson High School for Science and Technology A1245
2021SFBA / NorCal Pink259
2022SFBA / NorCal A1249 [2]
2023SFBA / NorCal A1223
2024Lehigh Valley A1229

Past individual winners

YearTeam
1977Randal Dougherty (Fairfax County/Montgomery County)
1978Fred Helenius (New York City A)
1979Irwin Jungreis (New York City A)
1980Paul Feldman (New York City A)
1981Benji Fisher (New York City A)
1982 Noam Elkies (New York City A)
1983David Zuckerman (New York City A)
1984Mike Reid (New York City A)
1985Ken Fan (Montgomery County, Maryland A)
1986 John Overdeck (Howard County A)
1987Danny Cory (North Carolina)
1988Michael Zieve (Greater Richmond)
1989Sam Vandervelde (Lynchburg/Harrisonburg)
1990Akira Negi (North Carolina)
1991Andrew Schultz (Chicago A)
1992 Robert Kleinberg (Upstate New York)
1993Jeremy Bem (Upstate New York)
1994Noam Shazeer (Massachusetts A)
1995Daniel Stronger (New York City A)
1996Nathan Curtis (Thomas Jefferson A)
1997Davesh Maulik (Nassau A)
1998 Gabriel Carroll (San Francisco Bay Area A)
1999 Gabriel Carroll (San Francisco Bay Area A)
2000Tiankai Liu (San Francisco Bay Area A)
2001 Gabriel Carroll (San Francisco Bay Area A)
2002Ruozhou Jia (Chicago A)
2003Anders Kaseorg (North Carolina A)
2004 Aaron Pixton (Upstate New York A)
2005Ryan Ko (Phillips Exeter A)
2006Samuel Dittmer (Indiana Gold)
2007Tao Ran Chen (New York City A)
2008Qin Xuan Pan (Montgomery A)
2009Zhuo Qun (Alex) Song (Ontario West)
2010Ben Gunby (Georgetown Day School)
2011Zhuo Qun (Alex) Song (Ontario West)
2012Allen Liu (Upstate New York)
2013Allen Liu (Upstate New York)
2014Darryl Wu (Washington A)
2015Brice Huang (West-Windsor Plainsboro A)
2016Daniel Kim (Bergen County Academies)
2017Brian Reinhart (Florida A - Oxbridge Academy)
2018Luke Robitaille (Texas A1)
2019David Chen (Thomas Jefferson A1)
2021Luke Robitaille (Texas A1 Gold)
2022Luke Robitaille (Texas A1 Gold) and Christopher Qiu (Lehigh Valley A1) [2]
2023Sargam Mondal (Central Jersey B1)
2024Alexander Wang (Lehigh Valley A1)

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References

  1. ↑ "ARML - Official Website". armlcontest.com. American Regions Mathematics League. Retrieved 8 January 2023.
  2. 1 2 3 "ARML 2022 Final Results". www.arml.com. The Official American Regions Mathematics League Web Page. 6 June 2022. Retrieved 8 January 2023.
  3. ↑ "Sponsors and Supporters". www.arml.com. The Official American Regions Mathematics League. Retrieved 8 January 2023.
  4. ↑ "The American Regions Mathematics League (ARML) Scoring Website". Archived from the original on 2013-10-10. Retrieved 2014-05-26.
  5. ↑ Results from before 1992 are taken from "PAST WINNERS AT ARML".. This site may not be accurate; it is wrong in at least one year of Division B standings.
  6. ↑ "1976 Team Results". Archived from the original on 24 August 2000.
  7. ↑ "1977 Team Results". Archived from the original on 5 February 2001.
  8. ↑ "1978 Team Results". Archived from the original on 12 January 2001.
  9. ↑ "1979 Team Results". Archived from the original on January 12, 2001.
  10. ↑ "1980 Team Results". Archived from the original on January 12, 2001.
  11. ↑ "1981 Team Results". Archived from the original on August 24, 2000.
  12. ↑ "1982 Team Results". Archived from the original on August 24, 2000.
  13. ↑ "1983 Team Results". Archived from the original on August 24, 2000.
  14. ↑ "1984 Team Results". Archived from the original on August 24, 2000.
  15. ↑ "1985 Team Results". Archived from the original on August 24, 2000.
  16. ↑ "1986 Team Results". Archived from the original on August 24, 2000.
  17. ↑ "1987 Team Results". Archived from the original on December 5, 2004.
  18. ↑ "1988 Team Results". Archived from the original on December 5, 2004.
  19. ↑ "1989 Team Results". Archived from the original on December 5, 2004.
  20. ↑ Casey Banas (1990-06-05). "Chicago-area Math Team Proves It's One Of The Best". 1990 ARML Results.
  21. ↑ "1991 Team Results". Archived from the original on December 10, 2004.
  22. ↑ "1992 Team Results". Archived from the original on December 10, 2004.
  23. ↑ "1993 Team Results". Archived from the original on December 10, 2004.
  24. ↑ "1994 ARML Results". Archived from the original on December 10, 2004.
  25. ↑ "1995 ARML Results". Archived from the original on December 10, 2004.
  26. ↑ "1996 ARML Results". Archived from the original on December 10, 2004.
  27. ↑ "1997 ARML Results". Archived from the original on December 10, 2004.
  28. ↑ "1998 ARML Results". Archived from the original on December 10, 2004.
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