Abstract
We present a method for an implementation of Multiple Solution Tasks in the classroom in a way that should motivate students to solve problems in different ways. The method concerns a competition in problem solving for groups of students. Each group has to find and record such a solution of a given problem that, in their opinion, appears with the least frequency among the solutions of all groups in the class. For illustration, we present a few problems and corresponding different strategies which arose in the classroom and show how flexibility was demonstrated during a competition . Additionally, we discuss other benefits of including competitions in the classroom, namely creating connections among mathematical concepts and stimulating deeper understanding of concepts for students. For the teacher the method opens a possibility for developing flexibility and analysing the quality of students’ knowledge and their level of understanding of mathematical concepts and relationships among them.
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References
Batanero, C., Navaro-Pelayo, V., & Godino, J. D. (1997). Effect of the implicit combinatorial model on combinatorial reasoning in secondary school pupils. Educational Studies in Mathematics, 32, 181–199.
Elia, I., van den Heuvel-Panhuizen, M., & Kolovou, A. (2009). Exploring strategy use and strategy flexibility in non-routine problem solving by primary school high achievers in mathematics. ZDM Mathematics Education, 41(5), 605–618.
Leikin, R., & Levav-Waynberg, A. (2007). Exploring mathematics teacher knowledge to explain the gap between theory-based recommendations and school practice in the use of connecting tasks. Educational Studies in Mathematics, 66, 349–371.
Levav-Waynberg, A., & Leikin, R. (2012). The role of multiple solution tasks in developing knowledge and creativity in geometry. Journal of Mathematical Behavior, 31, 73–90.
Presmeg, N. C. (1986). Visualisation and mathematical giftedness. Educational Studies in Mathematics, 17, 297–311.
Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. ZDM-Zentralblatt fuer Didaktik der Mathematik, 3, 75–80.
Warner, L. B., Schorr, R. Y., & Davis, G. E. (2009). Flexible use of symbolic tools for problem solving, generalization, and explanation. ZDM Mathematics Education, 41(5), 663–679.
Acknowledgments
This work was partially supported by the Slovak Research and Development Agency under the contract No. APVV-0715-12.
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Semanišinová, I., Harminc, M., Jesenská, M. (2017). Competition Aims to Develop Flexibility in the Classroom. In: Soifer, A. (eds) Competitions for Young Mathematicians. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-56585-9_7
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DOI: https://doi.org/10.1007/978-3-319-56585-9_7
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