Historical tasks to foster problematization
Résumé
In this paper, we present a proposal for problematizing activities organized in task rounds, each one consisting of three stages: a triggering task, a historical task, and reflections on teaching. This model is part of a doctoral research project and it is being tested in a module of a professional master’s program for mathematics teachers. We draw from the commognition framework (Sfard, 2008), combining the mathtask model (Biza, Nardi, & Zachariades, 2007) and Kjeldsen & Petersen’s approaches (2014). More specifically, we discuss how we used history to design the historical task of the first task round, based on the so-called Aha problems from Ahmes’ Papyrus. History of mathematics is used in the problematizing activities to move teachers out of their comfort zone and to legitimate different ways of producing mathematical knowledge. Some episodes are presented only to illustrate our discussion.
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