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Problem Posing from a Modelling Perspective

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Mathematical Problem Posing

Part of the book series: Research in Mathematics Education ((RME))

Abstract

In this chapter, we consider how problem posing forms an integral part of mathematical modelling and consider its placement during modelling processes. The problem and its formulation is an essential part of modelling, and a modelling process is usually associated with a continual adjustment and reformulation of the main problem. In addition, one may formulate conjectures, ask monitoring and control questions, and have a critical stance toward the model and its results. We consider how the educational intention of the modelling activity and the placement in the modelling cycle relates to the problems and questions being posed. We briefly consider how problem posing may be implemented in mathematical modelling through the use of students’ conjectures and by students acting as consultants and clients.

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Notes

  1. 1.

    Another relevant theme, which we do not pursue, is how different goals such as decision making, system analysis and design, and trouble shooting (OECD, 2004) affect the type of problem posing relevant for mathematical modelling.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Bergen University College, Bergen, Norway

    Ragnhild Hansen & Gert M. Hana

Authors
  1. Ragnhild Hansen
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  2. Gert M. Hana
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Correspondence to Ragnhild Hansen .

Editor information

Editors and Affiliations

  1. Department of Educational Sciences, University of Ploiesti, Bucharest, Romania

    Florence Mihaela Singer

  2. Department of Mathematics, Illinois State University, Normal, Illinois, USA

    Nerida F. Ellerton

  3. Department of Mathematical Sciences, University of Delaware, Newark, Delaware, USA

    Jinfa Cai

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Hansen, R., Hana, G.M. (2015). Problem Posing from a Modelling Perspective. In: Singer, F., F. Ellerton, N., Cai, J. (eds) Mathematical Problem Posing. Research in Mathematics Education. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6258-3_2

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