Beyond realistic considerations: modeling conceptions and controls in task examples with simple word problems

Nicolas Balacheff 1 Irit Peled 2
1 MeTAH
LIG - Laboratoire d'Informatique de Grenoble
Abstract : Using simple word problems, we analyze possible teacher conceptions on the process of problem solving, its goals and the choices that a problem solver can make in problem mathematization. We identify several possible teacher conceptions that would be responsible for the different didactical contracts that teachers create in the mathematics class. Using especially chosen and designed task examples, we demonstrate the diagnosis of teacher own controls in solving problems and in evaluating problem solutions. We also discuss characteristics of task examples that might promote a shift from a problem solving perspective to a modeling perspective that goes beyond merely accepting alternative solutions due to realistic considerations. This shift in perspective would be exhibited through a new understanding of the process of fitting mathematical models in problem situations.
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Journal articles
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https://telearn.archives-ouvertes.fr/hal-00998018
Contributor : Nicolas Balacheff <>
Submitted on : Friday, May 30, 2014 - 10:27:24 AM
Last modification on : Thursday, April 18, 2019 - 4:52:48 PM

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Nicolas Balacheff, Irit Peled. Beyond realistic considerations: modeling conceptions and controls in task examples with simple word problems. ZDM The international Journal on Mathematics Education, 2011, 43 (2), pp.307-315. ⟨10.1007/s11858-011-0310-0⟩. ⟨hal-00998018⟩

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