References
Barát, J., Hajnal, P., & Horváth, E. K. (2010). Elementary proof techniques for the maximum number of islands. European Journal of Combinatorics. (submitted). Available at: http://www.math.u-szeged.hu/~horvath .
Beucher, S., & Lantuejoul, C. (1979). Use of watersheds in contour detection. International workshop on image processing: Real-time edge and Motion Detection/Estimation, Rennes, France.
Borwein, J. M. (2005). The experimental mathematician: The pleasure of discovery and the role of proof. International Journal of Computers for Mathematical Learning, 10(2), 75–108. New York: Springer.
Buchberger, B. (1990). Should students learn integration rules? ACM SIGSAM Bulletin, 24(1), 10–17.
Carducci, O. M. (2009). The Wolfram demonstrations project. MAA Focus, 28(1), 8–9.
Czédli, G. (2009). The number of rectangular islands by means of distributive lattices. European Journal of Combinatorics, 30, 208–215.
Földes, S., & Singhi, N. M. (2006). On instantaneous codes. Journal of Combinatorics, Information and System Science, 31, 317–326.
Horváth, E. K., Máder, A., & Tepavčević, A. (2011). Introducing Czédli-type islands. The College Mathematical Journal. (to appear).
Horváth, E. K., Németh, Z., & Pluhár, G. (2009). The number of triangular islands on a tiangular grid. Periodica Mathematica Hungarica, 58, 25–34.
Windsteiger, W., Buchberger, B., & Rosenkranz, M. (2006). Theorema. In F. Wiedijk (Eds.), The seventeen provers of the world, LNAI 3600, 96-107. New York: Springer.
Wolfram, S. (1999). The Mathematica book. Champaign, IL, USA: Wolfram Media Inc. Cambridge: Cambridge University Press. See http://www.wolfram.com/.
Author information
Authors and Affiliations
Corresponding author
Additional information
* This column will publish short (from just a few paragraphs to ten or so pages), lively and intriguing computer-related mathematics vignettes. These vignettes or snapshots should illustrate ways in which computer environments have transformed the practice of mathematics or mathematics pedagogy. They could also include puzzles or brain-teasers involving the use of computers or computational theory. Snapshots are subject to peer review. From the Column Editor Uri Wilensky, Northwestern University. e-mail: uri@northwestern.edu.
Rights and permissions
About this article
Cite this article
Máder, A., Vajda, R. Elementary Approaches to the Teaching of the Combinatorial Problem of Rectangular Islands. Int J Comput Math Learning 15, 267–281 (2010). https://doi.org/10.1007/s10758-010-9171-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10758-010-9171-9