Abstract
The World Federation of National Mathematics Competitions (WFNMC) was founded in 1984 as a professional organization that provides the possibility of international collaboration among mathematicians and mathematics educators working in the area of mathematics contests. Over the last decades the field, which has come to be called “competition mathematics for school students”, has developed new methods for two important activities in mathematics education, namely, problem posing and problem solving. Because of this development, competition mathematics has shaped itself into a separate branch of mathematics education with its particular features, trends and needs. It not only contains the seeds of many fields of contemporary mathematics, but has also stimulated rich contributions to important research areas of mathematics education, in the intersection of the interests of both professional communities. Mathematics competitions serve also to identify mathematical talent worldwide and to promote the attraction of young people of higher ability to professional careers in mathematics. In many cases, problems posed in mathematical contests inspire mathematical research and new methods of teaching mathematician. In this paper I briefly describe the history of WFNMC. I focus on the main activities of the Federation, including conferences, awards, publications, and research areas of the members. As the only international professional organization in this field, the WFNMC supports activities that have their own particular significance, which are discussed in the paper.
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References
Applebaum, M., Kondratieva, M., & Freiman, V. (2013). Mathematics competitions and gender issues: A case of the virtual marathon. Mathematics Competitions, 26(1), 23–40.
Bankov, K. (2020a). Open problems as generalizations of tasks from mathematics competitions. In R. Geretschläger (Ed.), Engaging young students in mathematics through competitions: World perspectives and practices (Vol. 1, pp. 117–124). World Scientific.
Bankov, K. (2020b). Using inversion in theorems from classical geometry and for solving problems. Mathematics Competitions, 33(1), 22–35.
Barbeau, E., & Taylor, P. (Eds.). (2009). Challenging mathematics in and beyond the classroom. New ICMI study series (Vol. 12). Springer.
Calábek, P., & Švrcek, J. (2016). First five years of the Czech–Polish–Slovak junior mathematical Olympiad. Mathematics Competitions, 29(1), 70–74.
Domoshnitsky, A., & Yavich, R. (2011). The internet mathematical Olympiad for university students and some thoughts on the role of competitions in the general context of mathematical education. Mathematics Competitions, 24(1), 11–21.
Gamboa, F., & Menéndez, J. (2018). The Cuban mathematics Olympiad: A fragmentary journey. Mathematics Competitions, 31(2), 25–42.
Geretschläger, R. (2017). The rainbow of mathematics—teaching the complete spectrum and the role mathematics competitions can play. In A. Soifer (Ed.), Competitions for young mathematicians: Perspectives from five continents. ICME-13 monographs (pp. 145–170). Springer.
Geretschläger, R. (Ed.). (2020a). Engaging young students in mathematics through competitions: world perspectives and practices (Vol. 1). World Scientific.
Geretschläger, R. (Ed.). (2020b). Engaging young students in mathematics through competitions: world perspectives and practices (Vol. 2). World Scientific.
Kašuba, R. (2015). The 25th Baltic way team contest, 6–10 November 2014, Vilnius, Lithuania. Mathematics Competitions, 28(1), 34–41.
Kenderov, P. (2009). A short history of the World Federation of National Mathematics Competitions. Mathematics Competitions, 22(2), 14–31.
Keung, S. M. (2013). The good, the bad and the pleasure (not pressure!) of mathematics competitions. Mathematics Competitions, 26(1), 41–58.
Lamoneda, R. S. (2020). The impact of mathematical Olympiads on the mathematics community of Venezuela. In R. Geretschläger (Ed.), Engaging young students in mathematics through competitions: World perspectives and practices (Vol. 2, pp. 161–166). World Scientific.
Lazarov, B. (2019). What kind of math reasoning may help students in multiple-choice competition. Mathematics Competitions, 32(1), 39–47.
Lazarov, B. (2020). Evolving ideas in problem series of the Chernorizec Hrabar math tournament. In R. Geretschläger (Ed.), Engaging young students in mathematics through competitions: World perspectives and practices (Vol. 2, pp. 221–233). World Scientific.
Lazarov, B., & Vassileva, A. (2017). How does age factor matter: A case study. Mathematics Competitions, 30(1), 10–24.
Losada, M. F. (2010). Notes on an agenda for research and action for WFNMC. Mathematics Competitions, 23(2), 9–22.
Losada, M. (2011). The Iberoamerican mathematics competition for university students. Mathematics Competitions, 24(2), 23–28.
Losada, M. F. (2017). Are mathematics competitions changing the mathematics that is being done and the way mathematics is done? In A. Soifer (Ed.), Competitions for young mathematicians: Perspectives from five continents. ICME-13 monographs (pp. 329–350). Springer.
Losada, M. F. (2019). Theoretical or foundational considerations for mathematics education as related to competitions. Mathematics Competitions, 32(1), 31–38.
Rosolini, G. (2011). The Italian Team Competition. Mathematics Competitions, 24(2), 14–22.
Soifer, A. (2008). Building a bridge I: From problems of mathematical Olympiads to open problems of mathematics. Mathematics Competitions, 21(2), 11–19.
Soifer, A. (2009). Building a bridge II: From problems of mathematical Olympiads to open problems of mathematics. Mathematics Competitions, 22(1), 59–66.
Soifer, A. (2010). Building a bridge III: From problems of mathematical Olympiads to open problems of mathematics. Mathematics Competitions, 23(1), 27–38.
Soifer, A. (2016). Beyond Lăozĭ: The goals and means of mathematics instruction. Mathematics Competitions, 29(1), 7–30.
Soifer, A. (Ed.). (2017). Competitions for young mathematicians: Perspectives from five continents. ICME-13 monographs. Springer.
Soifer, A. (2018a). The flavor of the Colorado mathematical Olympiad: A concerto in four movements. Mathematics Competitions, 31(1), 27–37.
Soifer, A. (2018b). A history of Federation through my eyes. Mathematics Competitions, 31(2), 8–24.
Sun, W.-H., Zheng, H., & Zhu, H. (2014). An innovative contest. Mathematics Competitions, 27(1), 40–57.
Taylor, P. (2015). Classifying methods of problem solving—and my favourites. Mathematics Competitions, 28(1), 7–27.
Taylor, P. (2017). Future directions for research in mathematics competitions. In A. Soifer (Ed.), Competitions for young mathematicians: Perspectives from five continents. ICME-13 monographs (pp. 303–326). Springer.
Taylor, P., & McAvaney, K. (2020). Examples of mathematics and competitions influencing each other. In R. Geretschläger (Ed.), Engaging young students in mathematics through competitions: World perspectives and practices (Vol. 2, pp. 15–33). World Scientific.
Tsvetkova, I. (2010). Applications of semi-invariants in solving math competition problems. Mathematics Competitions, 23(2), 55–63.
Tsvetkova, I. (2016). Preparation of 5–7 grade students for mathematics competitions: Area problems. Mathematics Competitions, 29(2), 42–48.
Tsvetkova, I. (2017). Discovering, development, and manifestation of mathematical talent. In A. Soifer (Ed.), Competitions for young mathematicians: Perspectives from five continents. ICME-13 monographs (pp. 187–201). Springer.
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Appendix 1
Appendix 1
WFNMC Presidents
Peter O’Halloran (Australia), from 1984 to 1994.
Blagovest Sendov (Bulgaria), from 1994 to 1996.
Ronald Dunkley (Canada), from 1996 to 2000.
Peter Taylor (Australia), from 2000 to 2004.
Petar Kenderov (Bulgaria), from 2004 to 2008.
Maria Falk de Losada (Colombia), from 2008 to 2012.
Alexander Soifer (USA), from 2012 to 2018.
Kiril Bankov (Bulgaria), 2018 to the present.
WFNMC Conferences
WFNMC-1: Waterloo (Canada), 1990
WFNMC-2: Pravets (Bulgaria), 1994
WFNMC-3: Zhongshan (China), 1998
WFNMC-4: Melbourne (Australia), 2002
WFNMC-5: Cambridge (United Kingdom), 2006
WFNMC-6: Riga (Latvia), 2010
WFNMC-7: Barranquilla (Colombia), 2014
WFNMC-8: Semriach (Austria), 2018
The next Conference is planned to take place in Bulgaria in 2022.
WFNMC award winners
David Hilbert Award
1991: Arthur Engel (Germany), Edward Barbeau (Canada), Graham Pollard (Australia)
1992: Martin Gardner, (USA), Murray Klamkin (Canada), Marcin E Kuczma (Poland)
1994: Maria Falk de Losada (Colombia), Peter J O'Halloran (Australia)
1996: Andy Liu (Canada)
Paul Erdős Award
1992: Luis Davidson (Cuba), Nikolay Konstantinov (Russia), John Webb (South Africa)
1994: Ronald Dunkley (Canada), Walter Mientka (USA), Qiu Zonghu (China), Urgengtserengiin Sanjmyatav (Mongolia), Jordan Tabov (Bulgaria), Peter Taylor (Australia)
1996: George Berzsenyi (USA), Tony Gardiner (UK), Derek Holton (New Zealand)
1998: Agnis Andzans (Latvia), Wolfgang Engel (Germany), Mark Saul (USA).
2000: Francisco Bellot Rosado (Spain), Istvan Reiman (Hungary), János Surányi (Hungary)
2002: Bogoljub Marinkovic (Yugoslavia), Harold Braun Reiter (USA), Wen-Hsien Sun (Taiwan)
2004: Warren Atkins (Australia), André Deledicq (France), Patricia Fauring (Argentina)
2006: Simon Chua (Philippines), Ali Rejali (Iran), Alexander Soifer (USA). Move this row to the right so that it is aligned with the above row.
2008: Hans-Dietrich (Dieter) Gronau (Germany), Bruce Henry (Australia), Leou Shian (Taiwan)
2010: Rafael Sanchez-Lamoneda (Venezuela), Yahya Tabesh (Iran).
2012: Cecil C Rousseau (USA), Paul Vaderlind (Sweden).
2014: Petar Stoyanov Kenderov (Bulgaria), József Pelikán (Hungary), Richard Rusczyk (USA)
2016: Luis Caceres (Puerto Rico), David Christopher Hunt (Australia), Kar-Ping Shum (Hong Kong, China)
2018: Bin Xiong (China), David Monk (UK), Carlos Gustavo Tamm de Araujo Moreira (Brazil)
2020: Gangsong Leng (China), Jaromír Šimša (Czech Republic), Jaroslav Švrček (Czech Republic)
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Bankov, K. The role and significance of the World Federation of National Mathematics Competitions in the International Mathematics Education Community. ZDM Mathematics Education 54, 961–970 (2022). https://doi.org/10.1007/s11858-022-01329-7
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DOI: https://doi.org/10.1007/s11858-022-01329-7