Abstract
In this chapter I outline two major areas for future research on competitions and mathematics enrichment generally. The first is a development of better classification of problems, and an evaluation of their effectiveness, particularly those at the level which can lead a student with classroom knowledge to a deeper mathematics experience. The second area is the gathering and analysis of more data on competition and Olympiad alumni, in order to help gauge the effectiveness of competitions on choice of and success in future careers.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Atkins, W. J., Leder, G. C., O’Halloran, P. J., Pollard, G. H., & Taylor, P. J. (1991). Measuring risk taking. Education Studies in Mathematics, 22, 297–308.
Barbeau, E. J., & Taylor, P. J. (2009). Challenging mathematics in and beyond the classroom: The 16th ICMI study. New York: Springer.
Engel, W., Gronau, H.-D., Langmann, H.-H., & Sewerin, H. (2009). The German teams at the international mathematical Olympiads 1959–2008. Bad Honnef: KH Bock.
Kenderov, P. (2009). Competitions and mathematical education. ICM Bulletin and WFNMC. http://www.wfnmc.org/history.pdf.
Leder, G. (2011). Mathematics taught me Einstein’s old cocktail of inspiration and perspiration: Mathematically talented teenagers as adults. Canadian Journal of Mathematics, Science and Technology Education, 11(1), 29–38.
Leder, G. C., & Taylor, P. J. (2010). Are Raelene, Marjorie and Betty still in the race? The Australian Mathematics Teacher. 66(2), 17–24.
Niven, I. (1965). Mathematics of choice—How to count without counting. Mathematical Association of America.
Taylor, P. (2013). IMO students. https://sites.google.com/site/pjt154/home/a2-imo-students.
Taylor, P. (2014). Mathematics content. https://sites.google.com/site/pjt154/mathematics-content.
Taylor, P. (2015). Classifying methods of problem solving—And my favourites. Mathematics Competitions, 28(1), 7–27.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Taylor, P.J. (2017). Future Directions for Research in Mathematics Competitions. In: Soifer, A. (eds) Competitions for Young Mathematicians. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-56585-9_12
Download citation
DOI: https://doi.org/10.1007/978-3-319-56585-9_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-56584-2
Online ISBN: 978-3-319-56585-9
eBook Packages: EducationEducation (R0)