Abstract
Some untheorised practices of the Hungarian ‘guided discovery’ approaches for teaching and learning mathematics are currently being theorized and redesigned from past and present practises, with long term curricular development goals, also aiming at contributing to the conceptualization of IBME. The Pósa method for talent care extracurricular mathematics education is one of the most remarkable representatives of these approaches. An a posteriori theorization of this ‘intuitively developed method’− with a ‘reverse didactic engineering methodology’ − is being carried out within the frame of the doctoral research of the author. Main elements of this research, as well as some preliminary results and issues for further studies are presented, focusing on the Pósa method’s connected task design. The concepts ‘web of problem threads’, ‘kernel of a thread’ and ‘kernel of mathematical thinking’ (KoMT) are presented.
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Katona, D. (2021). Kernels of Mathematical Thinking as Task- and Curriculum Design Tool in the Pósa Method. In: Barquero, B., Florensa, I., Nicolás, P., Ruiz-Munzón, N. (eds) Extended Abstracts Spring 2019. Trends in Mathematics(), vol 13. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-76413-5_16
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