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The primacy of ‘noticing’: A key to successful modelling

chapter
posted on 2017-01-01, 00:00 authored by P Galbraith, G Stillman, Jill BrownJill Brown
The notion of productive modelling-oriented noticing (pMON) is proposed within an anticipatory metacognition framework for the implementation of successful modelling. pMON involves modellers noticing what is important (or not) in order to generate strategies for responding to, or initiating, activities necessary for successful engagement in modelling. In this chapter, we address the question: How does ‘noticing’ feature as an enabler and a displayer of modelling ability? From student work at an extra-curricular event, we identify global and specific noticing of a strategic and explanatory nature, which evidences anticipatory aspects of mental activity taking place during modelling, and illustrate a coding system for identifying and labelling components of pMON.

History

Chapter number

7

Pagination

83-94

ISBN-13

9783319629674

ISBN-10

3319629670

Language

eng

Publication classification

B1.1 Book chapter

Extent

52

Editor/Contributor(s)

Stillman G, Blum W, Kaiser G

Publisher

Springer

Place of publication

Berlin, Germany

Title of book

Mathematical modelling and applications : crossing and researching boundaries in mathematics education

Series

International Perspectives on the Teaching and Learning of Mathematical Modelling,