Abstract
This chapter offers the perspectives of teachers on youngsters solving mathematical problems with technology during the SUB12 and SUB14 mathematics competitions. Drawing on a series of interviews with teachers who have supported the participation of their students over several editions of the competitions, we identified what they see as the competitions’ most significant features. The teachers spoke about the different kinds of support that are available to youngsters throughout the successive stages of the competitions, from the initial dissemination, to the online Qualifying phases, and lastly to the on-site Final. Based on their statements, the teachers say that they value the type of problems they characterise as challenging, real problems, appropriate for all students and useful as pedagogical resources. They make a distinction between such non-routine and extracurricular problems and the more school-like problems presented in mathematics textbooks. They are favourable to the use of technologies within the competitions, even when admitting initial difficulties that they nevertheless seemed to have overcome over the years. Some of these teachers enthusiastically describe how they sometimes integrated the competition problems into their class teaching and how they helped and encouraged students to use digital technologies for solving and expressing the solutions they submitted. The need to develop mathematical communication is seen as another challenge, and this, say the teachers, gave them the opportunity to explore different mathematical representations with their students. As a final point, several teachers highlighted the fact that youngsters’ participation in the competitions was a motivating factor, contributing to their enjoyment of mathematics and feelings of inclusion in a community gathering many youngsters, parents and teachers around mathematical challenges.
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References
Amado, N., Ferreira, R., & Carreira, S. (2014). A relação afetiva dos jovens e suas famílias com a matemática e a resolução de problemas no contexto de competições matemáticas inclusivas. Unpublished Monograph of the Problem@Web Project.
Barbeau, E. (2009). Introduction. In E. J. Barbeau & P. J. Taylor (Eds.), Challenging mathematics in and beyond the classroom: The 16th ICMI Study (pp. 1–9). New York, NY: Springer. http://dx.doi.org/10.1007/978-0-387-09603-2_1.
Freiman, V., & Applebaum, M. (2011). Online mathematical competition: Using virtual marathon to challenge promising students and to develop their persistence. Canadian Journal of Science, Mathematics and Technology Education, 11, 55–66. http://dx.doi.org/10.1080/14926156.2011.548901.
Freiman, V., Kadijevich, D., Kuntz, G., Pozdnyakov, S., & Stedøy, I. (2009). Technological environments beyond the classroom. In E. J. Barbeau & P. Taylor (Eds.), Challenging mathematics in and beyond the classroom: The 16th ICMI Study (pp. 97–131). New York: Springer. http://dx.doi.org/10.1007/978-0-387-09603-2_4.
Jacinto, H., & Carreira, J. (2011). Nativos digitais em atividade de resolução de problemas de matemática. In A. Andrade, C. Lajoso, J. Lagarto, & L. Botelho (Eds.), COIED 2011 – 1.ª Conferência Online de Informática Educacional (pp. 69–77). Lisboa: UCP. http://www2.coied.com/2011/ebook/.
Jones, K., & Simons, H. (1999). Online mathematics enrichment: An evaluation of the NRICH project. Southampton: University of Southampton. http://eprints.soton.ac.uk/11252/.
Jones, K., & Simons, H. (2000). The student experience of online mathematics enrichment. In T. Nakahara & M. Koyama (Eds.), Proceedings of the 24th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3, pp. 103–110). Hiroshima, Japan. http://eprints.soton.ac.uk/41271/.
Kenderov, P., Rejali, A., Bussi, M. G., Pandelieva, V., Richter, K., Maschietto, M., et al. (2009). Challenges beyond the classroom: Sources and organizational issues. In E. J. Barbeau & P. Taylor (Eds.), Challenging mathematics in and beyond the classroom: The 16th ICMI Study (pp. 53–96). New York, NY: Springer. http://dx.doi.org/10.1007/978-0-387-09603-2_3.
Ministério da Educação. (2007). Programa de Matemática do Ensino Básico. Lisboa: Direção Geral de Educação.
OECD. (2012). Connected minds: Technology and today’s learners, educational research and innovation. Paris: OECD Publishing. http://dx.doi.org/10.1787/9789264111011-en.
Ponte, J. P. (2007). Investigations and explorations in the mathematics classroom. ZDM: International Journal on Mathematics Education, 39(5–6), 419–430. http://dx.doi.org/10.1007/s11858-007-0054-z.
Protasov, V., Applebaum, M., Karp, A., Kasuba, R., Sossinsky, A., Barbeau, E., et al. (2009). Challenging problems: Mathematical contents and sources. In E. Barbeau & P. J. Taylor (Eds.), Challenging mathematics in and beyond the classroom: The 16th ICMI Study (pp. 11–51). New York: Springer. http://dx.doi.org/10.1007/978-0-387-09603-2_2.
Schoenfeld, A. H. (1991). What’s all the fuss about problem solving? ZDM: International Journal on Mathematics Education, 91(1), 4–8.
Stahl, G. (Ed.). (2009a). Studying virtual math teams. New York, NY: Springer. http://dx.doi.org/10.1007/978-1-4419-0228-3.
Stahl, G. (2009b). The VMT vision. In G. Stahl (Ed.), Studying virtual math teams (pp. 17–29). New York, NY: Springer. http://dx.doi.org/10.1007/978-1-4419-0228-3_2.
Stanic, G., & Kilpatrick, J. (1989). Historical perspectives on problem solving in the mathematics curriculum. In R. I. Charles & E. A. Silver (Eds.), The teaching and assessing of mathematical problem solving (pp. 1–22). Reston, VA: NCTM and Lawrence Erlbaum.
Stein, M., Engle, R., Smith, M., & Hughes, E. (2008). Orchestrating productive mathematical discussions: Five practices for helping teachers move beyond show and tell. Mathematical Thinking and Learning, 10(4), 313–340. http://dx.doi.org/10.1080/10986060802229675.
Stockton, J. C. (2012). Mathematical competitions in Hungary: Promoting a tradition of excellence & creativity. The Mathematics Enthusiast, 9(1 & 2), 37–58. http://www.math.umt.edu/tmme/vol9no1and2/TME_2012_vol9nos1and2_pp1_232.pdf.
Turner, J., & Meyer, D. (2004). A classroom perspective on the principle of moderate challenge in mathematics. Journal of Educational Research, 97(6), 311–318. http://dx.doi.org/10.3200/JOER.97.6.311-318.
Wedege, T. & Skott, J. (2007). Potential for change of views in the mathematics classroom? In D. Pitta-Pantazi & G. Philippou (Eds.), Proceedings of the Fifth Congress of the European Society for Research in Mathematics Education (pp. 389–398). Larnaca, Cyprus. http://www.mathematik.uni-dortmund.de/~erme/CERME5b/.
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Carreira, S., Jones, K., Amado, N., Jacinto, H., Nobre, S. (2016). Perspectives of Teachers on Youngsters Solving Mathematical Problems with Technology. In: Youngsters Solving Mathematical Problems with Technology. Mathematics Education in the Digital Era, vol 5. Springer, Cham. https://doi.org/10.1007/978-3-319-24910-0_3
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