Learning Conversation in Mathematics Practice School–Industry Partnerships as Arena for Teacher Education

Hana, Gert Monstad; Hansen, Ragnhild; Johnsen-Høines, Marit; Lilland, Inger Elin; Rangnes, Toril Eskeland

doi:10.1007/978-3-319-02270-3_13

Cited by 1 publication

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“…This type of task is intended to give pupils a justifi cation for describing their thinking and considering different possible solutions. In a school-industry partnership where a class collaborated with an oil-valve company, and the pupils were given an authentic consultancy task from the company, we have witnessed fi rsthand some of the potential inherent in pupils taking on such a role while working on mathematical modelling (Hana, Hansen, Johnsen-Høines, Lilland, & Rangnes, 2011 ;Lilland, 2012 ). An important aspect of the activity was that, effectively, the pupils had to defi ne the problems themselves, and that they needed to communicate with the company in order to defi ne the task and gather additional data.…”

Section: Pupils As Consultants and Clientsmentioning

confidence: 99%

Problem Posing from a Modelling Perspective

Hansen¹,

Hana²

2015

Mathematical Problem Posing

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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 briefl y 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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Section: Pupils As Consultants and Clientsmentioning

confidence: 99%